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and it serveth of many a necessarie conclusioun in equaciouns of thinges, as shal be shewed; and for the more declaracioun, lo here 5 thy figure.

Here endeth the descripcion of the Astrolabie.

PART II.

HERE BIGINNEN THE CONCLUSIONS OF THE ASTROLABIE.

1. To fynde the degree in which the sonne is day by day, after hir cours a-boute.

[Hic incipiunt Conclusiones Astrolabii; et prima est ad inveniendum gradus solis in quibus singulis diebus secundum cursum sol est existens.]

I

Rekene and knowe which is the day of thy monthe; and ley thy rewle up that same day; and thanne wol the verray point of thy rewle sitten in the bordure, up-on the degree of thy sonne. Ensample as thus; the yeer of oure lord 1391, the 12 day of 5 March at midday, I wolde knowe the degree of the sonne. soughte in the bak-half of myn Astrolabie, and fond the cercle of the dayes, the which I knowe by the names of the monthes writen under the same cercle. Tho leide I my rewle over this forseide day, and fond the point of my rewle in the bordure up-on the 10 firste degree of Aries, a litel with-in the degree; and thus knowe I this conclusioun. Another day, I wolde knowe the degree of my sonne, and this was at midday in the 13 day of Decembre; I fond the day of the monthe in maner as I seide; tho leide I my rewle up-on this forseide 13 day, and fond the point of my rewle

Part II, §1. [The Latin headings to the propositions are taken from the MS. in St. John's College, Cambridge.] See fig. 1. Any straight edge laid across from the centre will shew this at once. Chaucer, reckoning by the old style, differs from us by about eight days. The first degree of Aries, which in his time answered to the 12th of March, now vibrates between the 20th and 21st of that month. This difference of eight days must be carefully borne in mind in calculating Chaucer's dates.

in the bordure up-on the first degree of Capricorne, a lite with-in 15 the degree; and than hadde I of this conclusioun the ful experience. And for the more declaracioun, lo here thy figure.

2. To knowe the altitude of the sonne, or of othre celestial bodies.

[De altitudine solis et aliorum corporum supra celestium.]

And remeve

Put the ring of thyn Astrolabie up-on thy right thoumbe, and turne thy lift syde agayn the light of the sonne. thy rewle up and doun, til that the stremes of the sonne shyne thorgh bothe holes of thy rewle. Loke thanne how many degrees thy rewle is areised fro the litel crois up-on thyn est line, and tak 5 ther the altitude of thy sonne. And in this same wyse maistow knowe by nighte the altitude of the mone, or of brighte sterres. This chapitre is so general ever in oon, that ther nedith no more declaracion; but forget it nat. And for the more declaracioun, lo here the figure.

3. To knowe every tyme of the day by light of the sonne, and every tyme of the night by the sterres fixe, and eke to knowe by night or by day the degree of any signe that assendeth on the Est Orisonte, which that is cleped communly the Assendent, or elles Oruscupum.

[Ad cognoscendum quodlibet tempus diei per solis indicacionem, et quodlibet tempus noctis per quasdam stellas in celo fixas; ac eciam ad inveniendum et cognoscendum signum super orizontem qui communiter vocatur ascendens.]

Tak the altitude of the sonne whan thee list, as I have said; and set the degree of the sonne, in cas that it be by-forn the middel of the day, among thyn almikanteras on the est side of thyn Astrolabie; and yif it be after the middel of the day, set the degree

2. Here 'thy left side' means the left side of thine own body, and therefore the right or Eastern edge of the Astrolabe. In taking the altitude of the sun, the rays are allowed to shine through the holes ; but the stars are observed by looking through them. See figs. I and 3.

3. Drop the disc (fig. 5) within the border of the mother, and the Rete over it. Take the sun's altitude by § 2, and let it be 251°. As the

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5 of thy sonne up-on the west side; tak this manere of setting for a general rewle, ones for evere. And whan thou hast set the degree of thy sonne up as many almikanteras of heyghte as was the altitude of the sonne taken by thy rewle, ley over thy label, up-on the degree of the sonne; and thanne wol the point of thy label 10 sitten in the bordure, up-on the verrey tyd of the day. Ensample as thus: the yeer of oure lord 1391, the 12 day of March, I wold knowe the tyd of the day. I took the altitude of my sonne, and fond that it was 25 degrees and 30 of minutes of heyghte in the bordure on the bak-syde. Tho turnede I myn Astrolabie, and by15 cause that it was by-forn midday, I turnede my riet, and sette the degree of the sonne, that is to seyn, the 1 degree of Aries, on the right syde of myn Astrolabie, up-on that 25 degrees and 30 of minutes of heyghte among myn almikanteras; tho leide I my label up-on the degree of my sonne, and fond the poynte of my label in 20 the bordure, up-on a capital lettre that is cleped an X; tho rekened I alle the capitalles lettres fro the lyne of midnight un-to this forseide lettre X, and fond that it was 9 of the clokke of the day. Tho loked I down up-on the est orisonte, and fond there the 20 degree of Geminis assending; which that I tok for myn assendent. 25 And in this wyse hadde I the experience for ever-mo in which maner I sholde knowe the tyd of the day, and eek myn assendent. Tho wolde I wite the same night folwing the hour of the night, and wroughte in this wyse. Among an heep of sterris fixe,

it lyked me for to take the altitude of the feire white sterre that is 30 cleped Alhabor; and fond hir sitting on the west side of the lyne of midday, 18 degres of heighte taken by my rewle on the bak-syde. Tho sette I the centre of this Alhabor up-on 18 degrees among myn almikanteras, up-on the west syde; by-cause that she was

altitude was taken by the back of the Astrolabe, turn it over, and then let the Rete revolve westward till the 1st point of Aries is just within the altitude-circle marked 25, allowing for the degree by guess. This will bring the denticle near the letter C, and the first point of Aries near X, which means 9 A.M. At the same time, the 20th degree of Gemini will be on the horizon obliquus. See fig. 11, Pl. V. This result can be approximately verified by a common globe thus; elevate the pole nearly 52°; turn the small brass hour-circle so that the figure XII lies on the equinoctial colure; then turn the globe till IX lies under the brass meridian. In the next example, by the Astrolabe, let the height of Alhabor (Sirius) be about 18°. Turn the denticle

founden on the west syde. Tho leide I my label over the degree of the sonne that was descended under the weste orisonte, and 35 rikened alle the lettres capitals fro the lyne of midday un-to the point of my label in the bordure; and fond that it was passed 8 of the clokke the space of 2 degrees. Tho loked I doun up-on myn est orisonte, and fond ther 23 degrees of Libra assending, whom I tok for myn assendent; and thus lerned I to knowe ones for ever 40 in which manere I shuld come to the houre of the night and to myn assendent; as verreyly as may be taken by so smal an instrument. But natheles, in general, wolde I warne thee for evere, ne mak thee nevere bold to have take a iust ascendent by thyn Astrolabie, or elles to have set iustly a clokke, whan any celestial 45 body by which that thow wenest governe thilke thinges ben ney the south lyne; for trust wel, whan that the sonne is ney the meridional lyne, the degree of the sonne renneth so longe consentrik up-on the almikanteras, that sothly thou shalt erre fro the iust assendent. The same conclusioun sey I by the centre of any 50 sterre fix by night; and more-over, by experience, I wot wel that in oure orisonte, from 11 of the clokke un-to oon of the clokke, in taking of a iust assendent in a portatif Astrolabie, hit is to hard to knowe. I mene, from II of the clokke biforn the houre of noon til oon of the clok next folwing. And for the more declar- 55 acion, lo here thy figure.

4. Special declaracion of the assendent.

[Specialis declaracio de ascendente.]

The assendent sothly, as wel in alle nativitez as in questiouns and elecciouns of tymes, is a thing which that thise astrologiens gretly observen; wher-fore me semeth convenient, sin that I speke of the assendent, to make of it special declaracioun. The assendent sothly, to take it at the largeste, is thilke degree that 5

Eastward till it touches the 58th degree near the letter O, and it will be found that Alhabor is about 18° high among the almicanteras, whilst the first point of Aries points to 32° near the letter H, i. e. to 8 minutes past 8 P.M.; whilst at the same time, the 23rd degree of Libra is almost on the Horizon obliquus on the Eastern side. By the globe, at about 8 minutes past 8 P.M., the altitude of Sirius is very nearly 18°, and the 23rd of Libra is very near the Eastern horizon. See fig. 12, Pl. V.

4. The ascendent at any given moment is that degree of the zodiac

assendeth at any of thise forseide tymes upon the est orisonte; and there-for, yif that any planet assende at that same tyme in thilke for-seide degree of his longitude, men seyn that thilke planete is in horoscopo. But sothly, the hous of the assendent, 10 that is to seyn, the firste hous or the est angle, is a thing more brood and large. For after the statutz of astrologiens, what celestial body that is 5 degres above thilk degree that assendeth, or with-in that noumbre, that is to seyn, nere the degree that assendeth, yit rikne they thilke planet in the assendent. And 15 what planete that is under thilke degree that assendith the space of 25 degrees, yit seyn they that thilke planete is lyk to him that is in the hous of the assendent; but sothly, yif he passe the bondes of thise forseide spaces, above or bynethe, they seyn that the planete is failling fro the assendent. Yit sein thise 20 astrologiens, that the assendent, and eke the lord of the assendent, may be shapen for to be fortunat or infortunat, as thus: a fortunat assendent clepen they whan that no wykkid planete, as Saturne or Mars, or elles the Tail of the Dragoun, is in the hous of the assendent, ne that no wikked planete have non aspecte of enemite 25 up-on the assendent; but they wol caste that they have a fortunat planete in hir assendent and yit in his felicitee, and than sey they that it is wel. Forther-over, they seyn that the infortuning of an assendent is the contrarie of thise forseide thinges. The lord of the assendent, sey they, that he is fortunat, whan he is in good 30 place fro the assendent as in angle; or in a succedent, where-as he is in his dignitee and conforted with frendly aspectes of planetes and wel resceived, and eek that he may seen the assendent, and that he be nat retrograd ne combust, ne ioigned with no shrewe in the same signe; ne that he be nat in his descencioun, ne 35 ioigned with no planete in his discencioun, ne have up-on him non aspecte infortunat; and than sey they that he is wel. Natheles, thise ben observauncez of iudicial matiere and rytes of payens, in which my spirit ne hath no feith, ne no knowing of hir horoscopum; for they seyn that every signe is departed in 3 evene 40 parties by 10 degrees, and thilke porcioun they clepe a Face.

which is then seen upon the Eastern horizon. Chaucer says that astrologers reckoned in also 5 degrees of the zodiac above, and 25 below; the object being to extend the planet's influence over a whole 'house,' which is a space of the same length as a sign, viz. 30°. See § 36 below.

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