##### By Geoffrey Chaucer

Astr 2 1 Rub To fynde the degre in which the sonne is

Astr 2 1 RubA day by day, after his cours aboute.

Astr 2 1 1 Rekne and knowe which is the day of thy

Astr 2 1 2 month, and ley thy rewle upon that same day,

Astr 2 1 3 and than wol the verrey poynt of thy rewle

Astr 2 1 4 sitten in the bordure upon the degre of thy

Astr 2 1 5 sonne.

Astr 2 1 6 Ensample as thus: The yeer of oure Lord

Astr 2 1 7 1391, the 12 day of March at midday, I wolde

Astr 2 1 8 knowe the degre of the sonne. I soughte in

Astr 2 1 9 the bakhalf of myn Astrelabie and fond the

Astr 2 1 10 cercle of the daies, the whiche I knowe by

Astr 2 1 11 the names of the monthes writen under the

Astr 2 1 12 same cercle. Tho leyde I my reule over this

Astr 2 1 13 foreseide day, and fond the point of my reule

Astr 2 1 14 in the bordure upon the firste degre of Aries,

Astr 2 1 15 a litel within the degre. And thus knowe I this

Astr 2 1 16 conclusioun.

Astr 2 1 17 Anothir day I wolde knowen the degre of

Astr 2 1 18 my sonne, and this was at midday in the 13

Astr 2 1 19 day of Decembre. I fond the day of the

Astr 2 1 20 month in manere as I seide; tho leide I my

Astr 2 1 21 rewle upon this forseide 13 day, and fond

Astr 2 1 22 the point of my rewle in the bordure upon

Astr 2 1 23 the firste degre of Capricorne a lite within the

Astr 2 1 24 degre. And than had I of this conclusioun the

Astr 2 1 25 ful experience.

Astr 2 2 Rub To knowe the altitude of the sonne or of

Astr 2 2 RubA othre celestial bodies.

Astr 2 2 1 Put the ryng of thyn Astrelabie upon thy

Astr 2 2 2 right thombe, and turne thi lift syde ageyn

Astr 2 2 3 the light of the sonne; and remewe thy rewle

Astr 2 2 4 up and doun til that the stremes of the sonne

Astr 2 2 5 shine thorugh bothe holes of thi rewle. Loke

Astr 2 2 6 than how many degrees thy rule is areised fro

Astr 2 2 7 the litel cros upon thin est lyne, and tak there

Astr 2 2 8 the altitude of thi sonne. And in this same

Astr 2 2 9 wise maist thow knowe by night the altitude

Astr 2 2 10 of the mone or of brighte sterres.

Astr 2 2 11 This chapitre is so generall evere in oon

Astr 2 2 12 that there nedith no more declaracioun; but

Astr 2 2 13 forget it not.

Astr 2 3 Rub To knowe every tyme of the day by light

Astr 2 3 RubA of the sonne; and every tyme of the nyght by

Astr 2 3 RubB the sterres fixe; and eke to knowe by nyght or

Astr 2 3 RubC by day the degre of eny signe that ascendith on

Astr 2 3 RubD the est orisonte, which that is clepid comounly

Astr 2 3 RubE the ascendent, or ellis horoscopum.

Astr 2 3 1 Tak the altitude of the sonne whan the list,

Astr 2 3 2 as I have seid, and set the degre of the sonne,

Astr 2 3 3 in caas that it be beforn the myddel of the day,

Astr 2 3 4 among thyn almykanteras on the est syde of

Astr 2 3 5 thin Astrelabie; and if it be after the myddel

Astr 2 3 6 of the day, set the degre of thy sonne upon the

Astr 2 3 7 west syde. Tak this manere of settyng for a

Astr 2 3 8 general rule, ones for evere. And whan thou

Astr 2 3 9 hast set the degre of thy sonne upon as

Astr 2 3 10 many almykanteras of height as was the altitude

Astr 2 3 11 of the sonne taken by thy rule, ley

Astr 2 3 12 over thi label upon the degre of the sonne; and

Astr 2 3 13 than wol the point of thi labell sitte in the

Astr 2 3 14 bordure upon the verrey tyde of the day.

Astr 2 3 15 Ensample as thus: The yeer of oure lord

Astr 2 3 16 1391, the 12 day of March, I wolde knowe the

Astr 2 3 17 tyde of the day. I tok the altitude of my sonne,

Astr 2 3 18 and fond that it was 25 degrees and 30 minutes

Astr 2 3 19 of height in the bordure on the bak

Astr 2 3 20 side. Tho turned I myn Astrelabye, and by

Astr 2 3 21 cause that it was before mydday, I turned

Astr 2 3 22 my riet and sette the degre of the sonne, that

Astr 2 3 23 is to seyn the firste degre of Aries, on the right

Astr 2 3 24 side of myn Astrelabye upon 25 degrees and

Astr 2 3 25 30 mynutes of height among myn almykanteras.

Astr 2 3 26 Tho leide I my label upon the degre of my

Astr 2 3 27 sonne, and fond the point of my label in the

Astr 2 3 28 bordure upon a capital lettre that is clepid

Astr 2 3 29 an X. Tho rekned I alle the capitale lettres

Astr 2 3 30 fro the lyne of mydnight unto this forseide

Astr 2 3 31 lettre X, and fond that it was 9 of the

Astr 2 3 32 clokke of the day. Tho loked I doun upon myn

Astr 2 3 33 est orizonte, and fond there the 20 degre of

Astr 2 3 34 Geminis ascendyng, which that I tok for myn

Astr 2 3 35 ascendent. And in this wise had I the experience

Astr 2 3 36 for evermo in which manere I shulde

Astr 2 3 37 knowe the tyde of the day and eke myn ascendent.

Astr 2 3 39 Tho wolde I wite the same nyght folewyng

Astr 2 3 40 the houre of the nyght, and wroughte

Astr 2 3 41 in this wise: Among an heep of sterres

Astr 2 3 42 fixe it liked me for to take the altitude of the

Astr 2 3 43 faire white sterre that is clepid Alhabor, and

Astr 2 3 44 fond hir sittyng on the west side of the lyne

Astr 2 3 45 of midday, 12 degrees of heighte taken by my

Astr 2 3 46 rewle on the bak side. Tho sette I the centre

Astr 2 3 47 of this Alhabor upon 12 degrees among myn

Astr 2 3 48 almykanteras upon the west side, by cause that

Astr 2 3 49 she was founde on the west side. Tho

Astr 2 3 50 leyde I my label over the degre of the

Astr 2 3 51 sonne, that was discendid under the west

Astr 2 3 52 orisounte, and rekned all the lettres capitals

Astr 2 3 53 fro the lyne of midday unto the point of my

Astr 2 3 54 label in the bordure, and fond that it was

Astr 2 3 55 passed 9 of the clokke the space of 10 degrees.

Astr 2 3 56 Tho lokid I doun upon myn est orisounte, and

Astr 2 3 57 fond there 10 degrees of Scorpius ascendyng,

Astr 2 3 58 whom I tok for myn ascendent. And thus

Astr 2 3 59 lerned I to knowe onys for ever in which

Astr 2 3 60 manere I shuld come to the houre of the

Astr 2 3 61 nyght, and to myn ascendent, as verrely as

Astr 2 3 62 may be taken by so smal an instrument.

Astr 2 3 63 But natheles this rule in generall wol I warne

Astr 2 3 64 the for evere: Ne make the nevere bold to

Astr 2 3 65 have take a just ascendent by thin Astrelabie,

Astr 2 3 66 or elles to have set justly a clokke, whan eny

Astr 2 3 67 celestial body by which that thou wenyst governe

Astr 2 3 68 thilke thinges be nigh the south lyne.

Astr 2 3 69 For trust wel, whan the sonne is nygh the

Astr 2 3 70 meridional lyne, the degre of the sonne

Astr 2 3 71 renneth so longe consentrik upon the almykanteras

Astr 2 3 72 that sothly thou shalt erre fro the

Astr 2 3 73 just ascendent. The same conclusioun sey I by

Astr 2 3 74 the centre of eny sterre fix by nyght. And

Astr 2 3 75 more over, by experience I wot wel that in

Astr 2 3 76 oure orisounte, from xi of the clokke unto oon

Astr 2 3 77 of the clokke, in taking of a just ascendent in

Astr 2 3 78 a portatif Astrelabie it is to hard to knowe —

Astr 2 3 79 I mene from xi of the clokke before the

Astr 2 3 80 houre of noon til oon of the clokke next

Astr 2 3 81 folewyng.

Astr 2 4 Rub A special declaracioun of the ascendent.

Astr 2 4 1 The ascendent sothly, as wel in alle nativites

Astr 2 4 2 as in questions and eleccions of tymes, is a

Astr 2 4 3 thing which that these astrologiens gretly observen.

Astr 2 4 4 Wherfore me semeth convenyent, syth

Astr 2 4 5 that I speke of the ascendent, to make of it

Astr 2 4 6 speciall declaracioun.

Astr 2 4 7 The ascendent sothly, to take it at the largest,

Astr 2 4 8 is thilke degre that ascendith at eny of

Astr 2 4 9 these forseide tymes upon the est orisounte.

Astr 2 4 10 And therfore, yf that eny planete ascende

Astr 2 4 11 at thatt same tyme in thilke forseide degre,

Astr 2 4 12 than hath he no latitude fro the ecliptik lyne,

Astr 2 4 13 but he is than in the degre of the ecliptik

Astr 2 4 14 which that is the degre of his longitude. Men

Astr 2 4 15 sayn that thilke planete is in horoscopo.

Astr 2 4 16 But sothly the hous of the ascendent, that

Astr 2 4 17 is to seyn, the first hous or the est angle, is a

Astr 2 4 18 thing more brod and large. For, after the statutes

Astr 2 4 19 of astrologiens, what celestial body

Astr 2 4 20 that is 5 degrees above thilke degre that

Astr 2 4 21 ascendith, or withinne that nombre, that is

Astr 2 4 22 to seyn neer the degree that ascendith, yit

Astr 2 4 23 rekne they thilke planete in the ascendent.

Astr 2 4 24 And what planete that is under thilke degre

Astr 2 4 25 that ascendith the space of 25 degres, yit seyn

Astr 2 4 26 thei that thilke planete is “like to him that is

Astr 2 4 27 the hous of the ascendent.” But sothly, if he

Astr 2 4 28 passe the boundes of these forseide spaces,

Astr 2 4 29 above or bynethe, thei seyn that the planete

Astr 2 4 30 is “fallyng fro the ascendent.” Yit saien

Astr 2 4 31 these astrologiens that the ascendent and

Astr 2 4 32 eke the lord of the ascendent may be shapen

Astr 2 4 33 for to be fortunat or infortunat, as thus: A

Astr 2 4 34 “fortunat ascendent” clepen they whan that no

Astr 2 4 35 wicked planete, as Saturne or Mars or elles

Astr 2 4 36 the Tayl of the Dragoun, is in the hous of the

Astr 2 4 37 ascendent, ne that no wicked planete have

Astr 2 4 38 noon aspect of enemyte upon the ascendent.

Astr 2 4 39 But thei wol caste that thei have a fortunat

Astr 2 4 40 planete in hir ascendent, and yit in his felicite;

Astr 2 4 41 and than sey thei that it is wel.

Astr 2 4 42 Further over thei seyn that the infortunyng of

Astr 2 4 43 an ascendent is the contrarie of these forseide

Astr 2 4 44 thinges. The lord of the ascendent, sey thei

Astr 2 4 45 that he is fortunat whan he is in god place

Astr 2 4 46 fro the ascendent, as in an angle, or in a succident

Astr 2 4 47 where as he is in hys dignite and comfortid

Astr 2 4 48 with frendly aspectes of planetes and

Astr 2 4 49 wel resceyved; and eke that he may seen

Astr 2 4 50 the ascendent; and that he be not retrograd,

Astr 2 4 51 ne combust, ne joyned with no

Astr 2 4 52 shrewe in the same signe; ne that he be not

Astr 2 4 53 in his discencioun, ne joyned with no planete

Astr 2 4 54 in his descencioun, ne have upon him noon

Astr 2 4 55 aspect infortunat; and than sey thei that he is

Astr 2 4 56 well.

Astr 2 4 57 Natheles these ben observaunces of judicial

Astr 2 4 58 matere and rytes of payens, in whiche my

Astr 2 4 59 spirit hath no feith, ne knowing of her

Astr 2 4 60 horoscopum. For they seyn that every

Astr 2 4 61 signe is departid in thre evene parties by

Astr 2 4 62 10 degrees, and thilke porcioun they clepe a

Astr 2 4 63 face. And although that a planete have a latitude

Astr 2 4 64 fro the ecliptik, yit sey somme folk, so

Astr 2 4 65 that the planete arise in that same signe with

Astr 2 4 66 eny degre of the forseide face in which his

Astr 2 4 67 longitude is rekned, that yit is the planete

Astr 2 4 68 in horoscopo, be it in nativyte or in eleccion,

Astr 2 4 69 etc.

Astr 2 5 Rub To knowe the verrey equacioun of the

Astr 2 5 RubA degre of the sonne yf so be that it falle bitwene

Astr 2 5 RubC thyn almykanteras.

Astr 2 5 1 For as muche as the almykanteras in thin

Astr 2 5 2 Astrelabie ben compowned by two and two,

Astr 2 5 3 where as somme almykanteras in sondry astrelabies

Astr 2 5 4 be compowned by 1 and 1, or elles by 2

Astr 2 5 5 and 2, it is necessarie to thy lernyng to teche

Astr 2 5 6 the first to knowe and worke with thin oune

Astr 2 5 7 instrument. Wherfore whan that the degre of

Astr 2 5 8 thi sonne fallith bytwixe 2 almykanteras, or

Astr 2 5 9 ellis yf thin almykanteras ben graven with

Astr 2 5 10 over-gret a poynt of a compas (for bothe

Astr 2 5 11 these thinges may causen errour as wel in

Astr 2 5 12 knowing of the tide of the day, as of the verrey

Astr 2 5 13 ascendent), thou must worken in this

Astr 2 5 14 wise:

Astr 2 5 15 Set the degre of thy sonne upon the hyer

Astr 2 5 16 almykanteras of bothe, and wayte wel where

Astr 2 5 17 as thin almury touchith the bordure and set

Astr 2 5 18 there a prikke of ynke. Sett doun agayn the

Astr 2 5 19 degre of the sunne upon the nether almykanteras

Astr 2 5 20 of bothe, and sett there another

Astr 2 5 21 pricke. Remeve than thin almury in

Astr 2 5 22 the bordure evene amiddes bothe prickes, and

Astr 2 5 23 this wol lede justly the degre of thi sonne to

Astr 2 5 24 sitte bitwene bothe almykanteras in his right

Astr 2 5 25 place. Ley than thy label over the degre of

Astr 2 5 26 thi sonne, and fynd in the bordure the verrey

Astr 2 5 27 tyde of the day, or of the night. And as verraily

Astr 2 5 28 shalt thou fynde upon thin est orisonte

Astr 2 5 29 thin ascendent.

Astr 2 6 Rub To knowe the spryng of the dawenyng

Astr 2 6 RubA and the ende of the evenyng, the whiche ben

Astr 2 6 RubB called the two crepuscules.

Astr 2 6 1 Set the nadir of thy sonne upon 18 degrees

Astr 2 6 2 of height among thyn almykanteras on the west

Astr 2 6 3 syde; and ley thy label on the degre of thy

Astr 2 6 4 sonne, and than shal the point of thy label

Astr 2 6 5 shewen the spryng of the day. Also set the

Astr 2 6 6 nader of thy sonne upon 18 degrees of height

Astr 2 6 7 among thin almykanteras on the est side, and

Astr 2 6 8 ley over thy label upon the degre of the sonne,

Astr 2 6 9 and with the point of thy label fynd in the

Astr 2 6 10 bordure the ende of the evenyng, that is

Astr 2 6 11 verrey nyght.

Astr 2 6 12 The nader of the sonne is thilke degre that

Astr 2 6 13 is opposyt to the degre of the sonne, in the

Astr 2 6 14 7 signe, as thus: every degre of Aries by

Astr 2 6 15 ordir is nadir to every degre of Libra by ordre,

Astr 2 6 16 and Taurus to Scorpioun, Gemini to Sagittarie,

Astr 2 6 17 Cancer to Capricorne, Leo to Aquarie, Virgo

Astr 2 6 18 to Piscis. And if eny degre in thy zodiak be

Astr 2 6 19 derk, his nadir shal declare hym.

Astr 2 7 Rub To knowe the arch of the day, that some

Astr 2 7 RubA folk callen the day artificiall, fro sonne arisyng

Astr 2 7 RubB tyl it go to reste.

Astr 2 7 1 Set the degre of thi sonne upon thin est

Astr 2 7 2 orisonte, and ley thy label on the degre of

Astr 2 7 3 the sonne, and at the point of thy label in the

Astr 2 7 4 bordure set a pricke. Turne than thy riet

Astr 2 7 5 aboute tyl the degre of the sonne sitte upon

Astr 2 7 6 the west orisonte, and ley thy label upon the

Astr 2 7 7 same degre of the sonne, and at the poynt of

Astr 2 7 8 thy label set another pricke. Rekne than

Astr 2 7 9 the quantite of tyme in the bordure bitwixe

Astr 2 7 10 bothe prickes, and tak there thyn arch of

Astr 2 7 11 the day. The remenaunt of the bordure

Astr 2 7 12 under the orisonte is the arch of the nyght.

Astr 2 7 13 Thus maist thou rekne bothe arches, or every

Astr 2 7 14 porcioun, of whether that the liketh. And by

Astr 2 7 15 this manere of worching maist thou se how

Astr 2 7 16 longe that eny sterre fix dwelleth above the

Astr 2 7 17 erthe, fro tyme that he riseth til he go to reste.

Astr 2 7 18 But the day naturall, that is to seyn 24 hours,

Astr 2 7 19 is the revolucioun of the equinoxial with as

Astr 2 7 20 muche partie of the zodiak as the sonne of

Astr 2 7 21 his propre moeving passith in the mene

Astr 2 7 22 while.

Astr 2 8 Rub To turne the houres inequales in houres

Astr 2 8 RubA equales.

Astr 2 8 1 Know the nombre of the degrees in the

Astr 2 8 2 houres inequales, and depart hem by 15, and

Astr 2 8 3 tak there thin houres equales.

Astr 2 9 Rub To knowe the quantite of the day vulgar,

Astr 2 9 RubA that is to seyn fro spryng of the day unto

Astr 2 9 RubB verrey nyght.

Astr 2 9 1 Know the quantite of thy crepuscles, as I

Astr 2 9 2 have taught in the 3 chapitre bifore, and adde

Astr 2 9 3 hem to the arch of thy day artificial, and tak

Astr 2 9 4 there the space of all the hool day vulgar unto

Astr 2 9 5 verrey night. The same manere maist thou

Astr 2 9 6 worche to knowe the quantite of the vulgar

Astr 2 9 7 nyght.

Astr 2 9 @@@

Astr 2 10 Rub To knowe the quantite of houres inequales

Astr 2 10 RubA by day.

Astr 2 10 1 Understond wel that these houres inequales

Astr 2 10 2 ben clepid houres of planetes. And understond

Astr 2 10 3 wel that som tyme ben thei lenger by

Astr 2 10 4 day than by night, and som tyme the contrarie.

Astr 2 10 5 But understond wel that evermo generaly

Astr 2 10 6 the houre inequal of the day with the

Astr 2 10 7 houre inequal of the night contenen 30 degrees

Astr 2 10 8 of the bordure, which bordure is evermo answeryng

Astr 2 10 9 to the degrees of the equinoxial.

Astr 2 10 10 Wherfore departe the arch of the day artificial

Astr 2 10 11 in 12, and tak there the quantite of

Astr 2 10 12 the houre inequale by day. And if thou abate

Astr 2 10 13 the quantite of the houre inequale by day out

Astr 2 10 14 of 30, than shal the remenaunt that levith parforme

Astr 2 10 15 the houre inequale by night.

Astr 2 11 Rub To knowe the quantite of houres

Astr 2 11 RubA equales.

Astr 2 11 1 The quantite of houres equales, that is to

Astr 2 11 2 seyn the houres of the clokke, ben departid by

Astr 2 11 3 15 degrees alredy in the bordure of thin Astrelaby,

Astr 2 11 4 as wel by night as by day, generaly for

Astr 2 11 5 evere. What nedith more declaracioun?

Astr 2 11 6 Wherfore whan the list to knowe hou many

Astr 2 11 7 houres of the clokke ben passed, or eny part

Astr 2 11 8 of eny of these houres that ben passed, or ellis

Astr 2 11 9 how many houres or parties of houres ben

Astr 2 11 10 to come fro such a tyme to such a tyme by

Astr 2 11 11 day or by night, know the degre of thy

Astr 2 11 12 sonne, and ley thy label on it. Turne thy ryet

Astr 2 11 13 aboute joyntly with thy label, and with the

Astr 2 11 14 poynt of it rekne in the bordure fro the sonne

Astr 2 11 15 arise unto that same place there thou desirist,

Astr 2 11 16 by day as by nyght. This conclusioun wol I declare

Astr 2 11 17 in the laste chapitre of the 4 partie of this

Astr 2 11 18 tretys so openly that ther shal lakke no word

Astr 2 11 19 that nedith to the declaracioun.

Astr 2 12 Rub Special declaracioun of the houres of

Astr 2 12 RubA planetes.

Astr 2 12 1 Understond wel that evermo, fro the arisyng

Astr 2 12 2 of the sonne til it go to reste, the nadir of

Astr 2 12 3 the sonne shal shewe the houre of the planete;

Astr 2 12 4 and fro that tyme forward al the night til the

Astr 2 12 5 sonne arise, than shal the verrey degre of the

Astr 2 12 6 sonne shewe the houre of the planete.

Astr 2 12 7 Ensample as thus: The xiij day of March

Astr 2 12 8 fyl upon a Saturday, peraventure, and atte risyng

Astr 2 12 9 of the sonne I fond the secunde degre

Astr 2 12 10 of Aries sittyng upon myn est orisonte, all

Astr 2 12 11 be it that it was but litel. Than fond I the

Astr 2 12 12 2 degre of Libra, nadir of my sonne, discending

Astr 2 12 13 on my west orisonte, upon which west orisonte

Astr 2 12 14 every day generaly, atte sonne arist, entrith the

Astr 2 12 15 houre of eny planete, after which planete the

Astr 2 12 16 day berith his name, and endith in the next

Astr 2 12 17 strike of the plate under the forseide west

Astr 2 12 18 orisonte. And evere as the sonne clymbith upper

Astr 2 12 19 and upper, so goth his nadir downer

Astr 2 12 20 and downer, teching by suche strikes the

Astr 2 12 21 houres of planetes by ordir as they sitten

Astr 2 12 22 in the hevene. The firste houre inequal of

Astr 2 12 23 every Saturday is to Saturne, and the secunde

Astr 2 12 24 to Jupiter, the thirde to Mars, the fourthe

Astr 2 12 25 to the sonne, the fifte to Venus, the sixte to

Astr 2 12 26 Mercurius, the seventhe to the mone. And

Astr 2 12 27 then ageyn the 8 is to Saturne, the 9 to

Astr 2 12 28 Jupiter, the 10 to Mars, the 11 to the sonne,

Astr 2 12 29 the 12 to Venus. And now is my sonne gon

Astr 2 12 30 to reste as for that Saturday. Than shewith

Astr 2 12 31 the verrey degre of the sonne the houre

Astr 2 12 32 of Mercurie entring under my west orisonte at

Astr 2 12 33 eve; and next him succedith the mone, and

Astr 2 12 34 so furth by ordir, planete after planete in houre

Astr 2 12 35 after houre, all the nyght longe til the sonne

Astr 2 12 36 arise. Now risith the sonne that Sonday by

Astr 2 12 37 the morwe, and the nadir of the sonne upon

Astr 2 12 38 the west orisonte shewith me the entring of the

Astr 2 12 39 houre of the forseide sonne. And in this

Astr 2 12 40 manere succedith planete under planete fro

Astr 2 12 41 Saturne unto the mone, and fro the mone up

Astr 2 12 42 ageyn to Saturne, houre after houre generaly.

Astr 2 12 43 And thus knowe I this conclusyoun.

Astr 2 13 Rub To knowe the altitude of the sonne in

Astr 2 13 RubA myddes of the day that is clepid the altitude

Astr 2 13 RubB meridian.

Astr 2 13 1 Set the degre of the sonne upon the lyne

Astr 2 13 2 meridional, and rekne how many degres of

Astr 2 13 3 almykanteras ben bitwyxe thin est orisonte and

Astr 2 13 4 the degre of thy sonne; and tak there thin altitude

Astr 2 13 5 meridian, this to seyn, the highest of the

Astr 2 13 6 sonne as for that day. So maist thou knowe in

Astr 2 13 7 the same lyne the heighest cours that eny sterre

Astr 2 13 8 fix clymbeth by night. This is to seyn that whan

Astr 2 13 9 eny sterre fix is passid the lyne meridional,

Astr 2 13 10 than begynneth it to descende; and so doth

Astr 2 13 11 the sonne.

Astr 2 14 Rub To knowe the degre of the sonne by thy

Astr 2 14 RubA ryet, for a maner curiosite.

Astr 2 14 1 Sek besily with thy rule the highest of the

Astr 2 14 2 sonne in mydde of the day. Turne than thin

Astr 2 14 3 Astrelabie, and with a pricke of ynke marke

Astr 2 14 4 the nombre of that same altitude in the lyne

Astr 2 14 5 meridional; turne than thy ryet aboute tyl thou

Astr 2 14 6 fynde a degre of thy zodiak according with the

Astr 2 14 7 pricke, this is to seyn, sitting on the pricke.

Astr 2 14 8 And in soth thou shalt finde but 2 degrees in

Astr 2 14 9 all the zodiak of that condicioun; and yit

Astr 2 14 10 thilke 2 degrees ben in diverse signes.

Astr 2 14 11 Than maist thou lightly, by the sesoun of

Astr 2 14 12 the yere, knowe the signe in which that is the

Astr 2 14 13 sonne.

Astr 2 15 Rub To knowe which day is lik to which

Astr 2 15 RubA day as of lengthe.

Astr 2 15 1 Loke whiche degrees ben ylike fer fro the

Astr 2 15 2 hevedes of Cancer and Capricorne, and loke

Astr 2 15 3 when the sonne is in eny of thilke degrees;

Astr 2 15 4 than ben the dayes ylike of lengthe. This is

Astr 2 15 5 to seyn that as longe is that day in that month,

Astr 2 15 6 as was such a day in such a month; there varieth

Astr 2 15 7 but litel.

Astr 2 15 8 Also, yf thou take 2 dayes naturales in the

Astr 2 15 9 yere ylike fer fro either point of the equinoxiall

Astr 2 15 10 in the opposyt parties, than as longe

Astr 2 15 11 is the day artificiall of that oon day as is the

Astr 2 15 12 night of that othir, and the contrarie.

Astr 2 16 Rub This chapitre is a maner declaracioun

Astr 2 16 RubA to conclusiouns that folewen.

Astr 2 16 1 Understond wel that thy zodiak is departed

Astr 2 16 2 in two halve circles, as fro the heved of Capricorne

Astr 2 16 3 unto the heved of Cancer, and ageynward

Astr 2 16 4 fro the heved of Cancer unto the heved

Astr 2 16 5 of Capricorne. The heved of Capricorne is

Astr 2 16 6 the lowest point where as the sonne goth in

Astr 2 16 7 wynter, and the heved of Cancer is the heighist

Astr 2 16 8 point in which the sonne goth in somer. And

Astr 2 16 9 therfore understond wel that eny two degrees

Astr 2 16 10 that ben ylike fer fro eny of these two

Astr 2 16 11 hevedes, truste wel that thilke two degrees

Astr 2 16 12 ben of ilike declinacioun, be it southward or

Astr 2 16 13 northward, and the daies of hem ben ilike of

Astr 2 16 14 lengthe and the nyghtes also, and the shadewes

Astr 2 16 15 ilyke, and the altitudes ylike atte midday

Astr 2 16 16 for evere.

Astr 2 17 Rub To knowe the verrey degre of eny maner

Astr 2 17 RubA sterre, straunge or unstraunge, after his longitude;

Astr 2 17 RubB though he be indetermynat in thin

Astr 2 17 RubC Astralabye, sothly to the trouthe thus he shal

Astr 2 17 RubD be knowe.

Astr 2 17 1 Tak the altitude of this sterre whan he is on

Astr 2 17 2 the est syde of the lyne meridionall, as nye

Astr 2 17 3 as thou mayst gesse; and tak an ascendent anon

Astr 2 17 4 right by som manere sterre fix which that thou

Astr 2 17 5 knowist; and forget not the altitude of the firste

Astr 2 17 6 sterre ne thyn ascendent. And whan that this

Astr 2 17 7 is don, aspye diligently whan this same firste

Astr 2 17 8 sterre passith eny thyng the south westward;

Astr 2 17 9 and cacche him anon right in the same

Astr 2 17 10 nombre of altitude on the west syde of this

Astr 2 17 11 lyne meridional, as he was kaught on the

Astr 2 17 12 est syde; and tak a newe ascendent anon-ryght

Astr 2 17 13 by som maner sterre fix which that thou knowist,

Astr 2 17 14 and forget not this secunde ascendent. And

Astr 2 17 15 whan that this is don, rekne than how many

Astr 2 17 16 degrees ben bitwixe the firste ascendent and

Astr 2 17 17 the secunde ascendent; and rekne wel the myddel

Astr 2 17 18 degre bitwene bothe ascendentes, and set

Astr 2 17 19 thilke myddel degre upon thyn est orizonte;

Astr 2 17 20 and wayte than what degre that sitte upon

Astr 2 17 21 the lyne meridional, and tak there the verrey

Astr 2 17 22 degre of the ecliptik in which the sterre

Astr 2 17 23 stondith for the tyme. For in the ecliptik is the

Astr 2 17 24 longitude of a celestiall body rekned, evene

Astr 2 17 25 fro the heved of Aries unto the ende of Pisces;

Astr 2 17 26 and his latitude is rekned after the quantite of

Astr 2 17 27 his declynacioun north or south toward the

Astr 2 17 28 polys of this world.

Astr 2 17 29 As thus: Yif it be of the sonne or of

Astr 2 17 30 eny fix sterre, rekne hys latitude or his

Astr 2 17 31 declinacioun fro the equinoxiall cercle; and

Astr 2 17 32 if it be of a planete, rekne than the quantite

Astr 2 17 33 of his latitude fro the ecliptik lyne, all be it

Astr 2 17 34 so that fro the equinoxiall may the declinacioun

Astr 2 17 35 or the latitude of eny body celestiall be rekned

Astr 2 17 36 after the site north or south and after the quantite

Astr 2 17 37 of his declinacioun. And right so may the

Astr 2 17 38 latitude or the declinacioun of eny body celestiall,

Astr 2 17 39 saaf oonly of the sonne, after hys site

Astr 2 17 40 north or south and after the quantite of his

Astr 2 17 41 declinacioun, be rekned fro the ecliptik

Astr 2 17 42 lyne; fro which lyne alle planetes som tyme

Astr 2 17 43 declinen north or south saaf oonly the forseide

Astr 2 17 44 sonne.

Astr 2 18 Rub To knowe the degrees of longitudes of

Astr 2 18 RubA fixe sterres after that they be determynat in

Astr 2 18 RubB thin Astrelabye, yf so be that thei be trewly

Astr 2 18 RubC sette.

Astr 2 18 1 Set the centre of the sterre upon the lyne

Astr 2 18 2 meridionall, and tak kep of thy zodiak, and

Astr 2 18 3 loke what degre of eny signe that sitte upon

Astr 2 18 4 the same lyne meridionall at that same tyme,

Astr 2 18 5 and tak there the degre in which the sterre

Astr 2 18 6 stondith. and with that same degre cometh that

Astr 2 18 7 same sterre unto that same lyne fro the orisonte.

Astr 2 19 Rub To knowe with which degre of the zodiak

Astr 2 19 RubA eny sterre fix in thin Astrelabie arisith

Astr 2 19 RubB upon the est orisonte, all though his dwellyng

Astr 2 19 RubC be in another signe.

Astr 2 19 1 Set the centre of the sterre upon the est

Astr 2 19 2 orisonte, and loke what degre of eny signe that

Astr 2 19 3 sitt upon the same orisonte at that same tyme.

Astr 2 19 4 And understond wel that with that same degre

Astr 2 19 5 arisith that same sterre.

Astr 2 19 6 And thys merveylous arisyng with a straunge

Astr 2 19 7 degre in another signe is by cause that the

Astr 2 19 8 latitude of the sterre fix is either north or south

Astr 2 19 9 fro the equinoxiall. But sothly the latitudes

Astr 2 19 10 of planetes be comounly rekened fro the

Astr 2 19 11 ecliptyk, by cause that noon of hem declyneth

Astr 2 19 12 but fewe degrees out fro the brede of the

Astr 2 19 13 zodiak. And tak god kep of this chapitre of

Astr 2 19 14 arisyng of celestialle bodies; for truste wel that

Astr 2 19 15 neyther mone ne sterre, as in our embelif

Astr 2 19 16 orisonte, arisith with that same degre of his

Astr 2 19 17 longitude saaf in oo cas, and that is whan they

Astr 2 19 18 have no latitude fro the ecliptyk lyne. But

Astr 2 19 19 natheles som tyme is everich of these planetes

Astr 2 19 20 under the same lyne.

Astr 2 20 Rub To knowe the declinacioun of eny degre

Astr 2 20 RubA in the zodiak fro the equinoxiall cercle.

Astr 2 20 1 Set the degre of eny signe upon the lyne

Astr 2 20 2 meridionall, and rekne hys altitude in the

Astr 2 20 3 almykanteras fro the est orisonte up to the same

Astr 2 20 4 degre set in the forseide lyne, and set there a

Astr 2 20 5 prikke; turne up than thy riet, and set the heved

Astr 2 20 6 of Aries or Libra in the same meridionall lyne,

Astr 2 20 7 and set there a nother prikke. And whan that

Astr 2 20 8 this is don, considre the altitudes of hem bothe;

Astr 2 20 9 for sothly the difference of thilke altitudes

Astr 2 20 10 is the declinacioun of thilke degre fro the

Astr 2 20 11 equinoxiall. And yf it so be that thilke degre

Astr 2 20 12 be northward fro the equinoxiall, than is

Astr 2 20 13 his declinacyoun north; yif it be southward,

Astr 2 20 14 than is it south.

Astr 2 21 Rub To knowe for what latitude in eny regioun

Astr 2 21 RubA the almykanteras of eny table ben compowned.

Astr 2 21 1 Rekene how many degrees of almykanteras

Astr 2 21 2 in the meridionall lyne ben fro the cercle equinoxiall

Astr 2 21 3 unto the cenyth, or elles from the pool

Astr 2 21 4 artyk unto the north orisonte; and for so gret

Astr 2 21 5 a latitude, or for so smal a latitude, is the table

Astr 2 21 6 compowned.

Astr 2 22 Rub To knowe in speciall the latitude of

Astr 2 22 RubA oure countre, I mene after the latitude of Oxenford,

Astr 2 22 RubB and the height of oure pool.

Astr 2 22 1 Understond wel that as fer is the heved of

Astr 2 22 2 Aries or Libra in the equinoxiall fro oure orisonte

Astr 2 22 3 as is the cenyth fro the pool artik; and

Astr 2 22 4 as high is the pool artik fro the orisonte as the

Astr 2 22 5 equinoxiall is fer fro the cenyth. I prove it

Astr 2 22 6 thus by the latitude of Oxenford: understond

Astr 2 22 7 wel that the height of oure pool artik fro oure

Astr 2 22 8 north orisonte is 51 degrees and 50 mynutes;

Astr 2 22 9 than is the cenyth fro oure pool artik 38 degrees

Astr 2 22 10 and 10 mynutes; than is the equinoxial

Astr 2 22 11 from oure cenyth 51 degrees and 50

Astr 2 22 12 mynutes; than is oure south orisonte from oure

Astr 2 22 13 equinoxiall 38 degres and 10 mynutes. Understond

Astr 2 22 14 wel this rekenyng. Also forget not

Astr 2 22 15 that the cenyth is 90 degrees of height from

Astr 2 22 16 the orisonte, and oure equinoxiall is 90 degres

Astr 2 22 17 from oure pool artik. Also this shorte rule is

Astr 2 22 18 soth, that the latitude of eny place in a regioun

Astr 2 22 19 is the distaunce fro the cenyth unto

Astr 2 22 20 the equinoxiall.

Astr 2 23 Rub To prove evidently the latitude of eny

Astr 2 23 RubA place in a regioun by the preve of the height

Astr 2 23 RubB of the pool artik in that same place.

Astr 2 23 1 In som wynters nyght whan the firmament

Astr 2 23 2 is cler and thikke sterred, wayte a tyme til

Astr 2 23 3 that eny sterre fix sitte lyne-right perpendiculer

Astr 2 23 4 over the pool artik, and clepe that sterre A;

Astr 2 23 5 and wayte another sterre that sitte lyne-right

Astr 2 23 6 under A, and under the pool, and clepe that

Astr 2 23 7 sterre F. And understond wel that F is not

Astr 2 23 8 considrid but oonly to declare that A sitte

Astr 2 23 9 evene over the pool. Tak than anoon-right

Astr 2 23 10 the altitude of A from the orisonte, and forget

Astr 2 23 11 it not; let A and F goo fare wel tyl

Astr 2 23 12 ageynst the dawenyng a gret while, and com

Astr 2 23 13 than ageyn, and abid til that A is evene under

Astr 2 23 14 the pool, and under F; for sothly than wol F

Astr 2 23 15 sitte over the pool, and A wol sitte under the

Astr 2 23 16 pool. Tak than eftsonys the altitude of A from

Astr 2 23 17 the orisonte, and note as wel his secunde altitude

Astr 2 23 18 as hys firste altitude. And whan that this

Astr 2 23 19 is doon, rekene how many degrees that the

Astr 2 23 20 firste altitude of A excedith his secunde altitude,

Astr 2 23 21 and tak half thilke porcioun that is

Astr 2 23 22 excedid and adde it to his secunde altitude,

Astr 2 23 23 and tak there the elevacioun of thy pool, and

Astr 2 23 24 eke the latitude of thy regioun; for these two

Astr 2 23 25 ben of oo nombre, this is to seyn, as many degres

Astr 2 23 26 as thy pool is elevat, so muche is the latitude

Astr 2 23 27 of the regioun.

Astr 2 23 28 Ensample as thus: Peraventure the altitude of

Astr 2 23 29 A in the evenyng is 56 degrees of height;

Astr 2 23 30 than wol his secunde altitude or the dawenyng

Astr 2 23 31 be 48 degres, that is 8 degrees lasse

Astr 2 23 32 than 56, that was his first altitude att even.

Astr 2 23 33 Tak than the half of 8 and adde it to 48 that

Astr 2 23 34 was his secunde altitude, and than hast thou

Astr 2 23 35 52. Now hast thou the height of thy pool and

Astr 2 23 36 the latitude of the regioun. But understond

Astr 2 23 37 wel that to prove this conclusioun and many

Astr 2 23 38 another faire conclusioun, thou must have a

Astr 2 23 39 plomet hongyng on a lyne, heygher than

Astr 2 23 40 thin heved, on a perche; and thilke lyne

Astr 2 23 41 must hange evene perpendiculer bytwixe

Astr 2 23 42 the pool and thin eye; and than shalt thou

Astr 2 23 43 seen yf A sitte evene over the pool, and over

Astr 2 23 44 F atte evene; and also yf F sitte evene over the

Astr 2 23 45 pool and over A or day.

Astr 2 24 Rub Another conclusioun to prove the

Astr 2 24 RubA height of the pool artik fro the orisonte.

Astr 2 24 1 Tak eny sterre fix that never descendith under

Astr 2 24 2 the orisonte in thilke regioun, and considre

Astr 2 24 3 his heighist altitude and his lowist altitude

Astr 2 24 4 fro the orisonte, and make a nombre of

Astr 2 24 5 bothe these altitudes; tak than and abate half

Astr 2 24 6 that nombre, and take there the elevacioun of

Astr 2 24 7 the pool artik in that same regioun.

Astr 2 25 Rub Another conclusioun to prove the latitude

Astr 2 25 RubA of the regioun.

Astr 2 25 1 Understond wel that the latitude of eny

Astr 2 25 2 place in a regioun is verrely the space bytwixe

Astr 2 25 3 the cenyth of hem that dwellen there and the

Astr 2 25 4 equinoxiall cercle north or south, takyng the

Astr 2 25 5 mesure in the meridional lyne, as shewith in

Astr 2 25 6 the almykanteras of thin Astrelabye. And thilke

Astr 2 25 7 space is as much as the pool artike is high in

Astr 2 25 8 that same place fro the orisonte. And than is

Astr 2 25 9 the depressioun of the pool antartik, that

Astr 2 25 10 is to seyn, than is the pool antartik, bynethe

Astr 2 25 11 the orisonte the same quantite of

Astr 2 25 12 space neither more ne lasse.

Astr 2 25 13 Than if thou desire to knowe this latitude

Astr 2 25 14 of the regioun, tak the altitude of the sonne

Astr 2 25 15 in the myddel of the day, whan the sonne is

Astr 2 25 16 in the hevedes of Aries or of Libra; for than

Astr 2 25 17 moeveth the sonne in the lyne equinoxiall;

Astr 2 25 18 and abate the nombre of that same sonnes altitude

Astr 2 25 19 out of 90 degrees, and than is the

Astr 2 25 20 remenaunt of the nombre that leveth

Astr 2 25 21 the latitude of the regioun. As thus:

Astr 2 25 22 I suppose that the sonne is thilke day at

Astr 2 25 23 noon 38 degrees of height; abate than 38

Astr 2 25 24 degrees oute of 90; so leveth there 52; than is

Astr 2 25 25 52 degrees the latitude. I say not this but for

Astr 2 25 26 ensample; for wel I wot the latitude of Oxenford

Astr 2 25 27 is certeyn minutes lasse; thow might

Astr 2 25 28 preve the same.

Astr 2 25 29 Now yf so be that the semeth to longe a

Astr 2 25 30 tarieng to abide til that the sonne be in the

Astr 2 25 31 hevedes of Aries or of Libra, than wayte

Astr 2 25 32 whan the sonne is in eny othir degre of the

Astr 2 25 33 zodiak, and considre the degre of his declinacioun

Astr 2 25 34 fro the equinoxiall lyne; and if it so be

Astr 2 25 35 that the sonnes declinacioun be northward fro

Astr 2 25 36 the equinoxiall, abate than fro the sonnes altitude

Astr 2 25 37 at non the nombre of his declinacioun,

Astr 2 25 38 and than hast thou the height of the hevedes

Astr 2 25 39 of Aries and Libra. As thus: My sonne

Astr 2 25 40 is peraventure in the 10 degre of Leoun,

Astr 2 25 41 almost 56 degrees of height at non,

Astr 2 25 42 and his declinacioun is almost 18 degrees

Astr 2 25 43 northward fro the equinoxiall; abate than thilke

Astr 2 25 44 18 degrees of declinacioun out of the altitude

Astr 2 25 45 at non; than leveth there 38 degrees and odde

Astr 2 25 46 minutes. Lo there the heved of Aries or Libra

Astr 2 25 47 and thin equinoxiall in that regioun. Also if

Astr 2 25 48 so be that the sonnes declinacioun be southward

Astr 2 25 49 fro the equinoxiall, adde than thilke

Astr 2 25 50 declinacioun to the altitude of the sonne at

Astr 2 25 51 noon, and tak there the hevedes of Aries

Astr 2 25 52 and Libra and thin equinoxial; abate than the

Astr 2 25 53 height of the equinoxial out of 90 degrees;

Astr 2 25 54 than leveth there the distance of the pool of

Astr 2 25 55 that regioun fro the equinoxiall. Or elles, if

Astr 2 25 56 the list, tak the highest altitude fro the equinoxial

Astr 2 25 57 of eny sterre fix that thou knowist, and

Astr 2 25 58 tak his netherest elongacioun (lengthing) fro

Astr 2 25 59 the same equinoxial lyne, and work in the

Astr 2 25 60 manere forseid.

Astr 2 26 Rub Declaracioun of the ascensioun of

Astr 2 26 RubA signes.

Astr 2 26 1 The excellence of the spere solide, amonges

Astr 2 26 2 othir noble conclusiouns, shewith manyfest the

Astr 2 26 3 diverse ascenciouns of signes in diverse places,

Astr 2 26 4 as wel in the right cercle as in the embelif

Astr 2 26 5 cercle. These auctours writen that thilke signe

Astr 2 26 6 is cleped of right ascensioun with which more

Astr 2 26 7 part of the cercle equinoxiall and lasse part of

Astr 2 26 8 the zodiak ascendith. and thilke signe ascendith

Astr 2 26 9 embelif with which lasse part of the

Astr 2 26 10 equinoxiall and more part of the zodiak

Astr 2 26 11 ascendith. Ferther-over, they seyn that in

Astr 2 26 12 thilke cuntrey where as the senith of hem that

Astr 2 26 13 dwellen there is in the equinoxial lyne, and

Astr 2 26 14 her orisonte passyng by the two poles of this

Astr 2 26 15 world, thilke folk han this right cercle and

Astr 2 26 16 the right orisonte; and evermore the arch of

Astr 2 26 17 the day and the arch of the night is there ilike

Astr 2 26 18 longe; and the sonne twies every yer passing

Astr 2 26 19 thorugh the cenith of hir heed, and two

Astr 2 26 20 someres and two wynters in a yer han these

Astr 2 26 21 forseide peple. And the almycanteras in

Astr 2 26 22 her Astrelabyes ben streight as a lyne, so as

Astr 2 26 23 shewith in the figure.

Astr 2 26 24 The utilite to knowe the ascensions of signes

Astr 2 26 25 in the right cercle is this: Truste wel that

Astr 2 26 26 by mediacioun of thilke ascensions these astrologiens,

Astr 2 26 27 by her tables and her instrumentes,

Astr 2 26 28 knowen verreily the ascensioun of every degre

Astr 2 26 29 and minute in all the zodiak in the embelif

Astr 2 26 30 cercle, as shal be shewed. And nota that

Astr 2 26 31 this forseide right orisonte, that is clepid

Astr 2 26 32 Orison Rectum, dividith the equinoxial into

Astr 2 26 33 right angles; and the embelif orisonte, where

Astr 2 26 34 as the pool is enhaunced upon the orisonte,

Astr 2 26 35 overkervith the equinoxiall in embilif angles,

Astr 2 26 36 as shewith in the figure.

Astr 2 27 Rub This is the conclusioun to knowe the

Astr 2 27 RubA ascensions of signes in the right cercle, that is

Astr 2 27 RubB circulus directus.

Astr 2 27 1 Set the heved of what signe the lyst to knowe

Astr 2 27 2 his ascendyng in the right cercle upon the lyne

Astr 2 27 3 meridionall, and wayte where thyn almury

Astr 2 27 4 touchith the bordure, and set there a prikke;

Astr 2 27 5 turne than thy riet westward til that the ende

Astr 2 27 6 of the forseide signe sitte upon the meridional

Astr 2 27 7 lyne and eftsonys wayte where thin almury

Astr 2 27 8 touchith the bordure, and set there another

Astr 2 27 9 pricke. Rekene than the nombre of degres

Astr 2 27 10 in the bordure bitwixe bothe prikkes, and

Astr 2 27 11 tak the ascensioun of the signe in the right

Astr 2 27 12 cercle. And thus maist thou werke with every

Astr 2 27 13 porcioun of thy zodiak.

Astr 2 28 Rub To knowe the ascensions of signes in the

Astr 2 28 RubA embelif cercle in every regioun, I mene, in

Astr 2 28 RubB circulo obliquo.

Astr 2 28 1 Set the heved of the signe which as the list

Astr 2 28 2 to knowe his ascensioun upon the est orisonte,

Astr 2 28 3 and wayte where thin almury touchith the bordure,

Astr 2 28 4 and there set a prikke. Turne than thy

Astr 2 28 5 riet upward til that the ende of the same signe

Astr 2 28 6 sitte upon the est orisonte, and wayte eftsonys

Astr 2 28 7 where as thin almury touchith the bordure,

Astr 2 28 8 and set there a nother prikke. Rekene than

Astr 2 28 9 the nombre of degrees in the bordure bitwyxe

Astr 2 28 10 bothe prikkes and tak there the ascensioun

Astr 2 28 11 of the signe in the embelif cercle.

Astr 2 28 12 And understond wel that alle the signes in thy

Astr 2 28 13 zodiak, fro the heved of Aries unto the ende

Astr 2 28 14 of Virgo, ben clepid signes of the north fro

Astr 2 28 15 the equinoxiall. And these signes arisen bitwyxe

Astr 2 28 16 the verrey est and the verrey north in

Astr 2 28 17 oure orisonte generaly for evere. And alle the

Astr 2 28 18 signes fro the heved of Libra unto the ende

Astr 2 28 19 of Pisces ben clepid signes of the south fro

Astr 2 28 20 the equinoxial; and these signes arisen

Astr 2 28 21 evermore bitwixe the verrey est and the

Astr 2 28 22 verrey south in oure orisonte. Also every signe

Astr 2 28 23 bitwixe the heved of Capricorne unto the ende

Astr 2 28 24 of Geminis arisith on oure orisonte in lasse

Astr 2 28 25 than 2 houres equales. And these same signes

Astr 2 28 26 fro the heved of Capricorne unto the ende of

Astr 2 28 27 Geminis ben cleped tortuose signes, or croked

Astr 2 28 28 signes, for thei arise embelyf on oure orisonte.

Astr 2 28 29 And these croked signes ben obedient to

Astr 2 28 30 the signes that ben of right ascensioun.

Astr 2 28 31 The signes of right ascencioun ben fro the

Astr 2 28 32 heved of Cancer unto the ende of Sagittarie;

Astr 2 28 33 and these signes arisen more upright, and thei

Astr 2 28 34 ben called eke sovereyn signes and everich of

Astr 2 28 35 hem arisith in more space than 2 houres. Of

Astr 2 28 36 whiche signes Gemini obeieth to Cancer, and

Astr 2 28 37 Taurus to Leo, Aries to Virgo, Pisces to Libra,

Astr 2 28 38 Aquarius to Scorpioun, and Capricorne to Sagittarie.

Astr 2 28 39 And thus evermore 2 signes that

Astr 2 28 40 ben ilike fer fro the heved of Capricorne

Astr 2 28 41 obeyen everich of hem to othir.

Astr 2 29 Rub To knowe justly the 4 quarters of the

Astr 2 29 RubA world, as Est, West, North, and South.

Astr 2 29 1 Tak the altitude of thy sonne whan the list,

Astr 2 29 2 and note wel the quarter of the world in which

Astr 2 29 3 the sonne is for the tyme by the azymutz.

Astr 2 29 4 Turne than thin Astrelabie, and set the degre

Astr 2 29 5 of the sonne in the almykanteras of his altitude

Astr 2 29 6 on thilke syde that the sonne stant, as is the

Astr 2 29 7 manere in takyng of houres, and ley thy label

Astr 2 29 8 on the degre of the sonne; and rekene how

Astr 2 29 9 many degrees of the bordure ben bitwixe

Astr 2 29 10 the lyne meridional and the point of thy

Astr 2 29 11 label, and note wel that nombre. Turne

Astr 2 29 12 than ageyn thin Astrelabie, and set the point

Astr 2 29 13 of thy gret rule there thou takist thin altitudes

Astr 2 29 14 upon as many degrees in his bordure fro his

Astr 2 29 15 meridional as was the point of thy label fro

Astr 2 29 16 the lyne meridional on the wombe side. Take

Astr 2 29 17 than thin Astrelabie with bothe hondes sadly

Astr 2 29 18 and slighly, and let the sonne shyne thorugh

Astr 2 29 19 bothe holes of thy rule, and slighly in thilke

Astr 2 29 20 shynyng lat thin Astrelabie kouche adoun

Astr 2 29 21 evene upon a smothe ground, and than wol

Astr 2 29 22 the verrey lyne meridional of thin Astrelabie

Astr 2 29 23 lye evene south, and the est lyne wol lye est,

Astr 2 29 24 and the west lyne west, and the north lyne

Astr 2 29 25 north, so that thou worke softly and avysely

Astr 2 29 26 in the kouching. And thus hast thou the 4

Astr 2 29 27 quarters of the firmament.

Astr 2 30 Rub To knowe the latitude of planetes fro

Astr 2 30 RubA the wey of the sonne, whethir so they be north

Astr 2 30 RubB or south fro the forseide wey.

Astr 2 30 1 Loke whan that a planete is in the lyne

Astr 2 30 2 meridional, yf that hir altitude be of the same

Astr 2 30 3 height that is the degre of the sonne for that

Astr 2 30 4 day, and than is the planete in the verrey wey

Astr 2 30 5 of the sonne and hath no latitude. And if the

Astr 2 30 6 altitude of the planete be heigher than the

Astr 2 30 7 degre of the sonne, than is the planete north

Astr 2 30 8 fro the wey of the sonne such a quantite of

Astr 2 30 9 latitude as shewith by thin almykanteras.

Astr 2 30 10 And if the altitude of the planete be lasse

Astr 2 30 11 than the degre of the sonne, than is the

Astr 2 30 12 planete south fro the wey of the sonne such

Astr 2 30 13 a quantite of latitude as shewith by thin

Astr 2 30 14 almykanteras. This is to seyn, fro the wey

Astr 2 30 15 where as the sonne went thilke day, but not

Astr 2 30 16 fro the wey of the sonne in every place of the

Astr 2 30 17 zodiak.

Astr 2 31 Rub To knowe the cenyth of the arising of

Astr 2 31 RubA the sonne, this is to seyn, the partie of the

Astr 2 31 RubB orisonte in which that the sonne arisith.

Astr 2 31 1 Thou must first considere that the sonne arisith

Astr 2 31 2 not alwey verrey est, but somtyme by northe

Astr 2 31 3 the est and somtyme by south the est. Sothly

Astr 2 31 4 the sonne arisith nevere moo verrey est in oure

Astr 2 31 5 orisonte, but he be in the heved of Aries or

Astr 2 31 6 Libra. Now is thin orisonte departed in 24 parties

Astr 2 31 7 by thin azimutes in significacioun of 24 parties

Astr 2 31 8 of the world; al be it so that shipmen rekene

Astr 2 31 9 thilke parties in 32. Than is there no

Astr 2 31 10 more but wayte in which azimut that thy

Astr 2 31 11 sonne entrith at his arisyng, and take there

Astr 2 31 12 the cenith of the arisyng of the sonne.

Astr 2 31 13 The manere of the divisioun of thin Astrelabie

Astr 2 31 14 is this, I mene as in this cas: First

Astr 2 31 15 it is divided in 4 plages principalis with the

Astr 2 31 16 lyne that goth from est to west; and than with

Astr 2 31 17 another lyne that goth fro south to north; than

Astr 2 31 18 is it divided in smale parties of azymutz, as est,

Astr 2 31 19 and est by south, where as is the first azymut

Astr 2 31 20 above the est lyne; and so furth fro

Astr 2 31 21 partie to partie til that thou come ageyn

Astr 2 31 22 unto the est lyne. Thus maist thou understonde

Astr 2 31 23 also the cenyth of eny sterre, in which partie

Astr 2 31 24 he riseth.

Astr 2 32 Rub To knowe in which partie of the firmament

Astr 2 32 RubA is the conjunccyoun.

Astr 2 32 1 Considere the tyme of the conjunccyoun by

Astr 2 32 2 the kalender, as thus: Loke hou many houres

Astr 2 32 3 thilke conjunccioun is fro the midday of the

Astr 2 32 4 day precedent, as shewith by the canon of

Astr 2 32 5 thy kalender. Rekene than thilke nombre of

Astr 2 32 6 houres in the bordure of thin Astrelabie, as

Astr 2 32 7 thou art wont to do in knowyng of the houres

Astr 2 32 8 of the day or of the nyght, and ley thy label

Astr 2 32 9 over the degre of the sonne, and than wol

Astr 2 32 10 the point of thy label sitte upon the houre

Astr 2 32 11 of the conjunccioun. Loke than in which

Astr 2 32 12 azymut the degre of thy sonne sittith, and in

Astr 2 32 13 that partie of the firmament is the conjunccioun.

Astr 2 33 Rub To knowe the cenyth of the altitude of

Astr 2 33 RubA the sonne.

Astr 2 33 1 This is no more to seyn but eny tyme of

Astr 2 33 2 the day tak the altitude of the sonne, and by

Astr 2 33 3 the azymut in which he stondith maist thou

Astr 2 33 4 seen in which partie of the firmament he is.

Astr 2 33 5 And the same wise maist thou seen by night,

Astr 2 33 6 of eny sterre, wheither the sterre sitte est or

Astr 2 33 7 west, or north or south, or eny partie bitwene,

Astr 2 33 8 after the name of the azimut in which is the

Astr 2 33 9 sterre.

Astr 2 34 Rub To knowe sothly the degre of the longitude

Astr 2 34 RubA of the mone, or of eny planete that hath

Astr 2 34 RubB no latitude for the tyme fro the ecliptik lyne.

Astr 2 34 1 Tak the altitude of the mone, and rekne thy

Astr 2 34 2 altitude up among thyn almykanteras on

Astr 2 34 3 which syde that the mone stondith, and set

Astr 2 34 4 there a prikke. Tak than anon-right upon the

Astr 2 34 5 mones syde the altitude of eny sterre fix which

Astr 2 34 6 that thou knowist, and set his centre upon his

Astr 2 34 7 altitude among thyn almykanteras there the

Astr 2 34 8 sterre is founde. Wayte than which degre of

Astr 2 34 9 the zodiak touchith the prykke of the altitude

Astr 2 34 10 of the mone, and tak there the degre

Astr 2 34 11 in which the mone stondith. This conclusioun

Astr 2 34 12 is verrey soth, yf the sterres in thin

Astr 2 34 13 Astrelabie stonden after the trouthe. Comoun

Astr 2 34 14 tretes of the Astrelabie ne maken non excepcioun

Astr 2 34 15 whether the mone have latitude or

Astr 2 34 16 noon, ne on wheyther syde of the mone the

Astr 2 34 17 altitude of the sterre fixe be taken.

Astr 2 34 18 And nota that yf the mone shewe himself

Astr 2 34 19 by light of day, than maist thou worche

Astr 2 34 20 this same conclusioun by the sonne, as wel

Astr 2 34 21 as by the fixe sterre.

Astr 2 35 Rub This is the worchinge of the conclusioun

Astr 2 35 RubA to knowe yf that eny planete be direct

Astr 2 35 RubB or retrograd.

Astr 2 35 1 Tak the altitude of eny sterre that is clepid

Astr 2 35 2 a planete, and note it wel; and tak eke anon

Astr 2 35 3 the altitude of any sterre fix that thou knowist,

Astr 2 35 4 and note it wel also. Com than ageyn the

Astr 2 35 5 thridde or the fourthe nyght next folewing, for

Astr 2 35 6 than shalt thou perceyve wel the moeving of

Astr 2 35 7 a planete, wheither so he moeve forward or

Astr 2 35 8 bakward. Awayte wel than whan that thy

Astr 2 35 9 sterre fixe is in the same altitude that she

Astr 2 35 10 was whan thou toke hir firste altitude.

Astr 2 35 11 And tak than eft-sones the altitude of the

Astr 2 35 12 forseide planete and note it wel; for truste wel

Astr 2 35 13 yf so be that the planete be on the right syde

Astr 2 35 14 of the meridional lyne, so that his secunde altitude

Astr 2 35 15 be lasse than hys first altitude was, than

Astr 2 35 16 is the planete direct; and yf he be on the west

Astr 2 35 17 syde in that condicioun, than is he retrograd.

Astr 2 35 18 And yf so be that this planete be upon the est

Astr 2 35 19 side whan his altitude is ytaken, so that his

Astr 2 35 20 secunde altitude be more than his first altitude,

Astr 2 35 21 than is he retrograd. And if he be on

Astr 2 35 22 the west syde, than is he direct. But the contrarie

Astr 2 35 23 of these parties is of the cours of the

Astr 2 35 24 mone; for certis the mone moeveth the contrarie

Astr 2 35 25 from othre planetes as in hir epicicle, but

Astr 2 35 26 in noon othir manere.

Astr 2 36 Rub The conclusioun of equaciouns of

Astr 2 36 RubA houses after the Astrelabie.

Astr 2 36 1 Set the begynnyng of the degre that ascendith

Astr 2 36 2 upon the ende of the 8 houre inequal; than

Astr 2 36 3 wol the begynnyng of the 2 hous sitte upon

Astr 2 36 4 the lyne of mydnight. Remeve than the degre

Astr 2 36 5 that ascendith, and set him on the ende of the

Astr 2 36 6 10 houre inequal, and than wol the begynnyng

Astr 2 36 7 of the 3 hous sitte up on the mydnight lyne.

Astr 2 36 8 Bring up ageyn the same degre that ascended

Astr 2 36 9 first, and set him upon the est orisonte, and

Astr 2 36 10 than wol the begynnyng of the 4 hous sitte

Astr 2 36 11 upon the lyne of mydnight. Tak than the

Astr 2 36 12 nader of the degre that first ascendid, and set

Astr 2 36 13 him on the ende of the 2 houre inequal; and

Astr 2 36 14 than wol the begynnyng of the 5 hous sitte

Astr 2 36 15 upon the lyne of mydnight. Set than the nader

Astr 2 36 16 of the ascendent on the ende of the 4 houre

Astr 2 36 17 inequal, and than wol the begynnyng of the

Astr 2 36 18 6 hous sitte on the mydnight lyne. The begynnyng

Astr 2 36 19 of the 7 hous is nader of the ascendent,

Astr 2 36 20 and the begynnyng of the 8 hous

Astr 2 36 21 is nader of the 2, and the begynnyng

Astr 2 36 22 of the 9 hous is nader of the 3, and the begynnyng

Astr 2 36 23 of the 10 hous is nader of the 4,

Astr 2 36 24 and the begynnyng of the 11 hous is nader

Astr 2 36 25 of the 5, and the begynnyng of the 12 hous

Astr 2 36 26 is nader of the 6.

Astr 2 37 Rub Another maner of equaciouns of houses

Astr 2 37 RubA by the Astrelabye.

Astr 2 37 1 Tak thin ascendent, and than hast thou thy

Astr 2 37 2 4 angles; for wel thou wost that the opposit

Astr 2 37 3 of thin ascendent, that is to seyn, the begynnyng

Astr 2 37 4 of the 7 hous, sitt upon the west orisonte,

Astr 2 37 5 and the begynnyng of the 10 hous sitt upon

Astr 2 37 6 the lyne meridional, and his opposyt upon the

Astr 2 37 7 lyne of mydnight. Than ley thy label over the

Astr 2 37 8 degre that ascendith, and rekne fro the point

Astr 2 37 9 of thy label alle the degrees in the bordure

Astr 2 37 10 tyl thou come to the meridional lyne; and

Astr 2 37 11 departe alle thilke degrees in 3 evene parties,

Astr 2 37 12 and take there the evene equacions of 3

Astr 2 37 13 houses; for ley thy label over everich of these

Astr 2 37 14 3 parties, and than maist thou se by thy label,

Astr 2 37 15 in the zodiak, the begynnyng of everich

Astr 2 37 16 of these same houses fro the ascendent; that

Astr 2 37 17 is to seyn, the begynnyng of the 12 hous next

Astr 2 37 18 above thin ascendent, the begynnyng of the

Astr 2 37 19 11 hous, and than the 10 upon the meridional

Astr 2 37 20 lyne, as I first seide. The same wise

Astr 2 37 21 worch thou fro the ascendent doun to the

Astr 2 37 22 lyne of mydnyght, and thus hast thou othre

Astr 2 37 23 3 houses; that is to seyn, the begynnyng of

Astr 2 37 24 the 2, and the 3, and the 4 hous. Than is the

Astr 2 37 25 nader of these 3 houses the begynnyng of the

Astr 2 37 26 3 houses that folewen.

Astr 2 38 Rub To fynde the lyne meridional to dwelle

Astr 2 38 RubA fix in eny certeyn place.

Astr 2 38 1 Tak a round plate of metal; for werpyng,

Astr 2 38 2 the brodder the better; and make there upon

Astr 2 38 3 a just compas a lite within the bordure. And

Astr 2 38 4 ley this rounde plate upon an evene ground,

Astr 2 38 5 or on an evene ston, or on an evene stok fix

Astr 2 38 6 in the ground; and ley it evene by a level.

Astr 2 38 7 And in the centre of the compas styke an

Astr 2 38 8 evene pyn, or a wyr, upright, the smaller the

Astr 2 38 9 better; set thy pyn by a plom-rule evene

Astr 2 38 10 upright, and let this pyn be no lenger than

Astr 2 38 11 a quarter of the dyametre of thy compas,

Astr 2 38 12 fro the centre amiddes. And wayte bisely

Astr 2 38 13 aboute 10 or 11 of the clokke, whan the sonne

Astr 2 38 14 shineth, whan the shadewe of the pyn entrith

Astr 2 38 15 enythyng within the cercle of thy compas an

Astr 2 38 16 heer-mele; and marke there a pricke with inke.

Astr 2 38 17 Abid than stille waityng on the sonne til after

Astr 2 38 18 1 of the clokke, til that the shadwe of the wyr,

Astr 2 38 19 or of the pyn, passe enything out of the

Astr 2 38 20 cercle of the compas, be it nevere so lyte,

Astr 2 38 21 and set there another pricke of ynke. Tak

Astr 2 38 22 than a compas, and mesure evene the myddel

Astr 2 38 23 bitwixe bothe prickes, and set there a prikke.

Astr 2 38 24 Tak me than a rule and draw a strike evene

Astr 2 38 25 a-lyne, fro the pyn unto the middel prikke; and

Astr 2 38 26 tak there thi lyne meridional for evermore, as

Astr 2 38 27 in that same place. And yif thou drawe a

Astr 2 38 28 cross-lyne overthwart the compas justly over

Astr 2 38 29 the lyne meridional, than hast thou est and

Astr 2 38 30 west and south, and par consequens,

Astr 2 38 31 the opposit of the south lyne, i.e. the north.

Astr 2 39 Rub Descripcion of the meridional lyne, of

Astr 2 39 RubA longitudes and latitudes of citees and townes,

Astr 2 39 RubB as wel as of climates.

Astr 2 39 1 Thys lyne meridional is but a maner descripcioun,

Astr 2 39 2 or lyne ymagined, that passith upon the

Astr 2 39 3 poles of this world and by the cenyth of oure

Astr 2 39 4 heved. And it is cleped the lyne meridional,

Astr 2 39 5 for in what place that eny man is at any tyme

Astr 2 39 6 of the yer, whan that the sonne, by mevynge

Astr 2 39 7 of the firmament, cometh to his verrey meridian

Astr 2 39 8 place, than is it verrey mydday, that we clepen

Astr 2 39 9 oure non, as to thilke man. And therfore

Astr 2 39 10 is it clepid the lyne of midday. And nota

Astr 2 39 11 that evermore of eny 2 cytes or of 2 townes,

Astr 2 39 12 of which that oo town approchith ner toward

Astr 2 39 13 the est than doth that othir town, trust

Astr 2 39 14 wel that thilke townes han diverse meridians.

Astr 2 39 15 Nota also that the arch of the equinoxial that

Astr 2 39 16 is contened or bownded bitwixe the 2 meridians

Astr 2 39 17 is clepid the longitude of the toun. And

Astr 2 39 18 yf so be that two townes have ilike meridian

Astr 2 39 19 or oon meridian, than is the distaunce of

Astr 2 39 20 hem bothe ilike fer fro the est, and the contrarie;

Astr 2 39 21 and in this manere thei change not

Astr 2 39 22 her meridian. But sothly thei chaungen her

Astr 2 39 23 almykanteras, for the enhaunsyng of the pool

Astr 2 39 24 and the distance of the sonne.

Astr 2 39 25 The longitude of a climat is a lyne ymagined

Astr 2 39 26 fro est to west ilike distant fro the equinoxiall.

Astr 2 39 27 And the latitude of a climat may be

Astr 2 39 28 cleped the space of the erthe fro the begynnyng

Astr 2 39 29 of the first clymat unto the verrey

Astr 2 39 30 ende of the same clymat evene direct

Astr 2 39 31 ageyns the pool artyke. Thus sayn somme

Astr 2 39 32 auctours; and somme of hem sayn that yf men

Astr 2 39 33 clepe the latitude of a cuntrey the arch meridian

Astr 2 39 34 that is contened or intercept bitwix the

Astr 2 39 35 cenyth and the equinoxial, than say they that

Astr 2 39 36 the distance fro the equinoxial unto the ende

Astr 2 39 37 of a clymat evene ageynst the pool artik is the

Astr 2 39 38 latitude of a clymat forsoothe.

Astr 2 40 Rub To knowe with which degre of the zodiak

Astr 2 40 RubA that eny planete ascendith on the orisonte,

Astr 2 40 RubB wheither so that his latitude be north

Astr 2 40 RubC or south.

Astr 2 40 1 Know by thin almenak the degre of the

Astr 2 40 2 ecliptik of eny signe in which that the planete

Astr 2 40 3 is rekned for to be, and that is clepid the

Astr 2 40 4 degre of his longitude. And know also the

Astr 2 40 5 degre of his latitude fro the ecliptik north or

Astr 2 40 6 south. And by these ensamples folewynge in

Astr 2 40 7 speciall maist thou worche in general in every

Astr 2 40 8 signe of the zodiak:

Astr 2 40 9 The degree of the longitude peraventure

Astr 2 40 10 of Venus or of another planete was 1 of

Astr 2 40 11 Capricorne, and the latitude of him was

Astr 2 40 12 northward 4 degrees fro the ecliptik lyne. Than

Astr 2 40 13 tok I a subtil compas, and clepid that oo point

Astr 2 40 14 of my compas A, and that other point F. Than

Astr 2 40 15 tok I the point of A and sette it in the ecliptik

Astr 2 40 16 lyne in my zodiak in the degre of the longitude

Astr 2 40 17 of Venus, that is to seyn, in the 1 degre

Astr 2 40 18 of Capricorne; and than sette I the point of

Astr 2 40 19 F upward in the same signe by cause that

Astr 2 40 20 latitude was north upon the latitude of

Astr 2 40 21 Venus, that is to seyn, in the 4 degre fro the

Astr 2 40 22 heved of Capricorne; and thus have I 4 degrees

Astr 2 40 23 bitwixe my two prickes. Than leide I down

Astr 2 40 24 softly my compas, and sette the degre of the

Astr 2 40 25 longitude upon the orisonte; tho tok I and

Astr 2 40 26 waxed my label in manere of a peire tables to

Astr 2 40 27 receyve distinctly the prickes of my compas.

Astr 2 40 28 Tho tok I thys forseide label, and leyde it fix

Astr 2 40 29 over the degre of my longitude; tho tok I

Astr 2 40 30 up my compas and sette the point of A in

Astr 2 40 31 the wax on my label, as evene as I koude

Astr 2 40 32 gesse, over the ecliptik lyne in the ende of the

Astr 2 40 33 longitude, and sette the point of F endelong

Astr 2 40 34 in my label upon the space of the latitude,

Astr 2 40 35 inward and over the zodiak, that is to seyn

Astr 2 40 36 northward fro the ecliptik. Than leide I doun

Astr 2 40 37 my compas, and loked wel in the wey upon

Astr 2 40 38 the prickes of A and of F; tho turned I my ryet

Astr 2 40 39 til that the pricke of F satt upon the orisonte;

Astr 2 40 40 than saw I wel that the body of

Astr 2 40 41 Venus in hir latitude of 4 degrees septemtrionals

Astr 2 40 42 ascendid, in the ende of the 8 degre,

Astr 2 40 43 fro the heved of Capricorne.

Astr 2 40 44 And nota that in this manere maist thou

Astr 2 40 45 worche with any latitude septemtrional in alle

Astr 2 40 46 signes. But sothly the latitude meridional of

Astr 2 40 47 a planete in Capricorne ne may not be take by

Astr 2 40 48 cause of the litel space bitwixe the ecliptyk

Astr 2 40 49 and the bordure of the Astrelabie; but

Astr 2 40 50 sothely in all othre signes it may.

Astr 2 40 51 Also the degre peraventure of Jupiter, or of

Astr 2 40 52 another planete, was in the first degre of Piscis

Astr 2 40 53 in longitude, and his latitude was 2 degrees

Astr 2 40 54 meridional; tho tok I the point of A and sette

Astr 2 40 55 it in the first degre of Piscis on the ecliptik;

Astr 2 40 56 and than sette I the point of F dounward in

Astr 2 40 57 the same signe by cause that the latitude was

Astr 2 40 58 south 2 degres, that is to seyn, fro the heved

Astr 2 40 59 of Piscis; and thus have I 2 degres bitwixe

Astr 2 40 60 bothe prikkes. Than sette I the degre of

Astr 2 40 61 the longitude upon the orisonte; tho tok I

Astr 2 40 62 my label, and leide it fix upon the degre of the

Astr 2 40 63 longitude; tho sette I the point of A on my

Astr 2 40 64 label evene over the ecliptik lyne in the ende

Astr 2 40 65 of the degre of the longitude, and sette the

Astr 2 40 66 point of F endlong in my label the space of

Astr 2 40 67 2 degres of the latitude outward fro the zodiak

Astr 2 40 68 (this is to seyn southward fro the ecliptik toward

Astr 2 40 69 the bordure), and turned my riet

Astr 2 40 70 til that the pricke of F saat upon the orisonte.

Astr 2 40 71 Than say I wel that the body of

Astr 2 40 72 Jupiter in his latitude of 2 degrees meridional

Astr 2 40 73 ascendid with 8 degres of Piscis in horoscopo.

Astr 2 40 74 And in this manere maist thou worche with

Astr 2 40 75 any latitude meridional, as I first seide, save in

Astr 2 40 76 Capricorne. And yif thou wilt pleye this craft

Astr 2 40 77 with the arisyng of the mone, loke thou rekne

Astr 2 40 78 wel hir cours houre by houre, for she ne dwellith

Astr 2 40 79 not in a degre of hir longitude but litel

Astr 2 40 80 while, as thow wel knowist. But natheles

Astr 2 40 81 yf thou rekne hir verrey moevyng by thy

Astr 2 40 82 tables houre after houre, [thou shalt do wel

Astr 2 40 83 ynow].

Astr S 41 Rub Umbra Recta.

Astr S 41 1 Yif it so be that thou wilt werke by umbra

Astr S 41 12 recta, and thou may come to the bas of the

Astr S 41 13 tour, in this maner shalt thou werke. Tak the

Astr S 41 14 altitude of the tour by bothe holes, so that

Astr S 41 15 thy rewle ligge even in a poynt. Ensample as

Astr S 41 16 thus: I see him thorw at the poynt of 4; than

Astr S 41 17 mete I the space betwixe me and the tour,

Astr S 41 18 and I finde it 20 foot; than beholde I how 4

Astr S 41 19 is to 12, right so is the space betwixe thee

Astr S 41 110 and the tour to the altitude of the tour.

Astr S 41 111 For 4 is the thridde part of 12, so is the

Astr S 41 112 space between thee and the tour the thridde

Astr S 41 113 part of the altitude of the tour; than thryes 20

Astr S 41 114 foot is the heyghte of the tour, with adding of

Astr S 41 115 thyn owne persone to thyn eye. And this rewle

Astr S 41 116 is general in umbra recta, fro the poynt of

Astr S 41 117 oon to 12. And yif thy rewle falle upon 5, than

Astr S 41 118 is 5 12-partyes of the heyght the space between

Astr S 41 119 thee and the tour; with adding of

Astr S 41 120 thyn owne heyghte.

Astr S 42 Rub Umbra Versa.

Astr S 42 1 Another maner of the werkinge, by umbra

Astr S 42 12 versa. Yif so be that thou may nat come to

Astr S 42 13 the bas of the tour, I see him thorw at the nombre

Astr S 42 14 of 1; I sette ther a prikke at my fot; than

Astr S 42 15 go I neer to the tour, and I see him thorw at

Astr S 42 16 the poynt of 2, and there I sette another prikke;

Astr S 42 17 and I beholde how 1 hath him to 12, and ther

Astr S 42 18 finde I that it hath him twelfe sythes; than

Astr S 42 19 beholde I how 2 hath him to 12, and thou

Astr S 42 110 shalt finde it sexe sythes; than thou shalt

Astr S 42 111 finde that 12 passith 6 by the numbre of

Astr S 42 112 6; right so is the space between thy two prikkes

Astr S 42 113 the space of 6 tymes thyn altitude. And note,

Astr S 42 114 that at the ferste altitude of 1, thou settest a

Astr S 42 115 prikke; and afterward, whan thou seest him at

Astr S 42 116 2, ther thou settest another prikke; than thou

Astr S 42 117 findest betwyx thes two prikkys 60 foot; than

Astr S 42 118 thou shalt finde that 10 is the 6-party of 60.

Astr S 42 119 And then is 10 feet the altitude of the tour.

Astr S 42 120 For other poyntis, yif it fille in umbra versa,

Astr S 42 121 as thus: I sette caas it fill upon 2, and at

Astr S 42 122 the secunde upon 3; than schalt thou finde

Astr S 42 123 that 2 is 6 partyes of 12; and 3 is 4 partyes of

Astr S 42 124 12; than passeth 6 4, by nombre of 2; so is the

Astr S 42 125 space between two prikkes twyes the heyghte

Astr S 42 126 of the tour. And yif the differens were thryes,

Astr S 42 127 than shulde it be three tymes; and thus mayst

Astr S 42 128 thou werke fro 1 to 12; and yif it be 4, 4 tymes;

Astr S 42 129 or 5, 5 tymes; et sic de ceteris.

Astr S 43 Rub Umbra Recta.

Astr S 43 1 Another maner of wyrking, by umbra recta:

Astr S 43 2 Yif it so be that thou mayst nat come to the

Astr S 43 3 baas of the tour, in this maner thou schalt

Astr S 43 4 werke. Set thy rewle upon 1 till thou see the

Astr S 43 5 altitude, and set at thy foot a prikke. Than

Astr S 43 6 set thy rewle upon 2, and behold what is the

Astr S 43 7 differense between 1 and 2, and thou shalt

Astr S 43 8 finde that it is 1. Than mete the space between

Astr S 43 9 two prikkes, and that is the 12 partie

Astr S 43 10 of the altitude of the tour. And yif ther

Astr S 43 11 were 2, it were the 6 partye; and yif ther

Astr S 43 12 were 3, the 4 partye; et sic deinceps. And

Astr S 43 13 note, yif it were 5, it were the 5 party of 12;

Astr S 43 14 and 7, 7 party of 12; and note, at the altitude

Astr S 43 15 of thy conclusion, adde the stature of thyn

Astr S 43 16 heyghte to thyn eye.

Astr S 44 Rub Another maner conclusion, to knowe

Astr S 44 RubA the mene mote and the argumentis of any

Astr S 44 RubB planete. To know the mene mote and the argumentis

Astr S 44 RubC of every planete fro yeer to yeer, from

Astr S 44 RubD day to day, from houre to houre, and from

Astr S 44 RubE smale fraccionis infinite.

Astr S 44 1 In this maner shalt thou worche; consider

Astr S 44 2 thy rote first, the whiche is made the beginning

Astr S 44 3 of the tables fro the yer of oure Lord

Astr S 44 4 1397, and enter hit into thy slate for the laste

Astr S 44 5 meridie of December; and than consider the

Astr S 44 6 yer of oure Lord, what is the date, and behold

Astr S 44 7 whether thy date be more or lasse than the

Astr S 44 8 yer 1397. And yf hit so be that hit be more,

Astr S 44 9 loke how many yeres hit passeth, and with

Astr S 44 10 so many enter into thy tables in the first

Astr S 44 11 lyne theras is writen anni collecti et expansi.

Astr S 44 12 And loke where the same planet is

Astr S 44 13 writen in the hed of thy table, and than loke

Astr S 44 14 what thou findest in direct of the same yer of

Astr S 44 15 oure Lord which is passid, be hit 8, or 9, or

Astr S 44 16 10, or what nombre that evere it be, til the

Astr S 44 17 tyme that thou come to 20, or 40, or 60. And

Astr S 44 18 that thou findest in direct wryt in thy slate under

Astr S 44 19 thy rote, and adde hit togeder, and that is

Astr S 44 20 thy mene mote, for the laste meridian of

Astr S 44 21 the December, for the same yer which that

Astr S 44 22 thou hast purposed. And if hit so be that hit

Astr S 44 23 passe 20, consider wel that fro 1 to 20 ben

Astr S 44 24 anni expansi, and fro 20 to 3000 ben anni collecti;

Astr S 44 25 and if thy nomber passe 20, than tak that

Astr S 44 26 thou findest in direct of 20, and if hit be more,

Astr S 44 27 as 6 or 18, than tak that thou findest in direct

Astr S 44 28 thereof, that is to sayen, signes, degrees, minutes,

Astr S 44 29 and secoundes, and adde togedere

Astr S 44 30 unto thy rote; and thus to make rotes. And

Astr S 44 31 note, that if hit so be that the yer of oure

Astr S 44 32 Lord be lasse than the rote, which is the yer

Astr S 44 33 of oure Lord 1397, than shalt thou wryte in

Astr S 44 34 the same wyse first thy rote in thy slate, and

Astr S 44 35 after enter into thy table in the same yer that

Astr S 44 36 be lasse, as I taught before; and than consider

Astr S 44 37 how many signes, degrees, minutes, and secoundes

Astr S 44 38 thyn entringe conteyneth. And so be

Astr S 44 39 that ther be 2 entrees, than adde hem togeder,

Astr S 44 40 and after withdraw hem from the

Astr S 44 41 rote, the yer of oure Lord 1397; and the

Astr S 44 42 residue that leveth is thy mene mote for the

Astr S 44 43 laste meridie of December, the whiche thou

Astr S 44 44 hast purposid; and if hit so be that thou wolt

Astr S 44 45 witen thy mene mote for any day, or for any

Astr S 44 46 fraccioun of day, in this maner thou shalt

Astr S 44 47 worche. Make thy rote fro the laste day of

Astr S 44 48 December in the maner as I have taught,

Astr S 44 49 and afterward behold how many monethes,

Astr S 44 50 dayes, and houres ben passid from the

Astr S 44 51 meridie of December, and with that enter

Astr S 44 52 with the laste moneth that is ful passed, and

Astr S 44 53 take that thou findest in direct of him, and

Astr S 44 54 wryt hit in thy slate; and enter with as mony

Astr S 44 55 dayes as be more, and wryt that thou findest

Astr S 44 56 in direct of the same planete that thou worchest

Astr S 44 57 for; and in the same wyse in the table of

Astr S 44 58 houres, for houres that ben passed, and adde

Astr S 44 59 alle these to thy rote; and the residue is the

Astr S 44 60 mene mote for the same day and the same

Astr S 44 61 houre.

Astr S 45 Rub Another manere to knowe the mene

Astr S 45 RubA mote.

Astr S 45 1 Whan thou wolt make the mene mote of eny

Astr S 45 2 planete to be by Arsechieles tables, tak thy

Astr S 45 3 rote, the which is for the yer of oure Lord

Astr S 45 4 1397; and if so be that thy yer be passid the

Astr S 45 5 date, wryt that date, and than wryt the nomber

Astr S 45 6 of the yeres. Than withdraw the yeres

Astr S 45 7 out of the yeres that ben passed that rote.

Astr S 45 8 Ensampul as thus: the yer of oure Lord 1400,

Astr S 45 9 I wolde wyten, precise, my rote; than wrot

Astr S 45 10 I first 1400. And under that nomber I

Astr S 45 11 wrot a 1397; than withdrow I the laste

Astr S 45 12 nomber out of that, and than fond I the residue

Astr S 45 13 was 3 yer; I wiste that 3 yer was passed

Astr S 45 14 fro the rote, the which was writen in my

Astr S 45 15 tables. Than afterward soghte I in my tables

Astr S 45 16 the annis collectis et expansis, and among myn

Astr S 45 17 expanse yeres fond I 3 yeer. Than tok I alle

Astr S 45 18 the signes, degrees, and minutes, that I fond

Astr S 45 19 direct under the same planete that I

Astr S 45 20 wroghte for, and wrot so many signes,

Astr S 45 21 degrees, and minutes in my slate, and afterward

Astr S 45 22 added I to signes, degrees, minutes, and

Astr S 45 23 secoundes, the whiche I fond in my rote the

Astr S 45 24 yer of oure Lord 1397; and kepte the residue;

Astr S 45 25 and than had I the mene mote for the laste

Astr S 45 26 day of December. And if thou woldest wete

Astr S 45 27 the mene mote of any planete in March, April,

Astr S 45 28 or May, other in any other tyme or moneth of

Astr S 45 29 the yer, loke how many monethes and

Astr S 45 30 dayes ben passed from the laste day of December,

Astr S 45 31 the yer of oure Lord 1400; and so

Astr S 45 32 with monethis and dayes enter into thy table

Astr S 45 33 ther thou findest thy mene mote iwriten in

Astr S 45 34 monethes and dayes, and tak alle the signes,

Astr S 45 35 degrees, minutes, and secoundes that thou findest

Astr S 45 36 ywrite in direct of thy monethes, and adde

Astr S 45 37 to signes, degrees, minutes, and secoundes that

Astr S 45 38 thou findest with thy rote the yer of oure

Astr S 45 39 Lord 1400, and the residue that leveth is the

Astr S 45 40 mene mote for that same day. And note,

Astr S 45 41 if hit so be that thou woldest wite the mene

Astr S 45 42 mote in any yer that is lasse than thy rote,

Astr S 45 43 withdraw the nomber of so many yeres as hit

Astr S 45 44 is lasse than the yer of oure Lord a 1397, and

Astr S 45 45 kep the residue; and so many yeres, monethes,

Astr S 45 46 and dayes enter into thy tables of thy mene

Astr S 45 47 mote. And tak alle the signes, degrees, and

Astr S 45 48 minutes, and secoundes, that thou findest in

Astr S 45 49 direct of alle the yeres, monethes, and

Astr S 45 50 dayes, and wryt hem in thy slate; and

Astr S 45 51 above thilke nomber wryt the signes, degrees,

Astr S 45 52 minutes, and secoundes, the which thou

Astr S 45 53 findest with thy rote the yer of oure Lord a

Astr S 45 54 1397; and withdraw alle the nethere signes

Astr S 45 55 and degrees fro the signes and degrees, minutes,

Astr S 45 56 and secoundes of other signes with thy

Astr S 45 57 rote; and thy residue that leveth is thy mene

Astr S 45 58 mote for that day.

Astr S 46 Rub For to knowe at what houre of the day,

Astr S 46 RubA or of the night, shal be flod or ebbe.

Astr S 46 1 First wite thou certeinly, hou that haven

Astr S 46 2 stondeth, that thou list to werke for; that is

Astr S 46 3 to say in which place of the firmament the

Astr S 46 4 mone beyng, makith full see. Than awayte

Astr S 46 5 thou redily in what degree of the zodiak that

Astr S 46 6 the mone at that tyme is ynne. Bring furth

Astr S 46 7 than the label, and set the point therof in

Astr S 46 8 that same cost that the mone makith flod, and

Astr S 46 9 set thou there the degree of the mone according

Astr S 46 10 with the egge of the label. Than

Astr S 46 11 afterward awayte where is than the degree

Astr S 46 12 of the sonne, at that tyme. Remeve thou than

Astr S 46 13 the label fro the mone, and bring and set it

Astr S 46 14 justly upon the degree of the sonne. And the

Astr S 46 15 point of the label shal than declare to thee, at

Astr S 46 16 what houre of the day or of the night shal

Astr S 46 17 be flod. And there also maist thou wite by the

Astr S 46 18 same point of the label, whethir it be, at that

Astr S 46 19 same tyme, flod or ebbe, or half flod, or

Astr S 46 20 quarter flod, or ebbe, or half or quarter

Astr S 46 21 ebbe; or ellis at what houre it was last, or

Astr S 46 22 shal be next by night or by day, thou than

Astr S 46 23 shalt esely knowe, &c. Furthermore, if it so

Astr S 46 24 be that thou happe to worke for this matere

Astr S 46 25 aboute the tyme of the conjunccioun, bring

Astr S 46 26 furth the degree of the mone with the label

Astr S 46 27 to that coste as it is before seyd. But than thou

Astr S 46 28 shalt understonde that thou may not bringe

Astr S 46 29 furth the label fro the degree of the mone

Astr S 46 30 as thou dide before; for-why the sonne is

Astr S 46 31 than in the same degree with the mone.

Astr S 46 32 And so thou may at that tyme by the point of

Astr S 46 33 the label unremevid knowe the houre of the

Astr S 46 34 flod or of the ebbe, as it is before seyd, &c.

Astr S 46 35 And evermore as thou findest the mone passe

Astr S 46 36 fro the sonne, so remeve thou the label than

Astr S 46 37 fro the degree of the mone, and bring it to

Astr S 46 38 the degree of the sonne. And work thou than

Astr S 46 39 as thou dide before, &c. Or ellis know

Astr S 46 40 thou what houre it is that thou art inne,

Astr S 46 41 by thyn instrument. Than bring thou furth

Astr S 46 42 fro thennes the label and ley it upon the degree

Astr S 46 43 of the mone, and therby may thou wite

Astr S 46 44 also whan it was flod, or whan it wol be next,

Astr S 46 45 be it night or day; &c.