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# Title: Nicolai Mercatoris Holsati, è Soc. Reg. Institutionum Astronomicarum Libri Duo, De Motu Astrorum Communi & Proprio, Secundum Hypotheses Veterum & Recentiorum præcipuas; Deqve Hypotheseon ex observatis constructione (shelfmark Leibn. Marg. 63)
# Folio 148, page id 820424455:0170
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248
AASTRONOMIA.
Lt
Restat nunc, uc cuiris anomalix medix, v. gr. superticiet
P AC inveniamus congruencem anomaliam corquatam,
videlicet angulum P A C inter lineam apsidum e radiuas
rectorem interceprum. Hoc aurem via direct à neque Lepe
rus, neque post eum quisquam poruit; quanquam non decll
via tamen, qua id obcinuir indirecte. Nani arcum PR,
quem ordinata per Planeram L C K abscindic, affumit pro
arbitrio graduum quorris, vocarque anoraliam CCCCNIE
Huic comperenrem arcam P AK tanquam anomaliam me
diam investisar, nec non angulum P A C. tanquam anonid
liam coxquaram. Unde poltmodum inferr; cum sic inven
ex anomalix, cam media, quam coxquara, COmperAnE et
dem anomalixe eccentri; feri non polle, quin d mucul
respondeant. Mechodus autem calis cst: Primo assumitul
anomalia eccentri PR, quor luber graduum, tuic compe
rens anomalia media est superticies P AR, constane di
a
partibusP BI_KBA. Er sectoris quidem P B R area
eadem pars rorius circuli, quae arcus PR est rorius periphe
rix; ab Frianguli R B A area ae qualis eA alcicudini R L. dusta
in =BA.
Invenitur autem R L, ubi prius innormerie D B radius Ci
culi, cujus area continer 360, dicendo: ut 22 ad)
ut 324159 3d 100000,) ita area circuli ad Radii quaclta
cum. Deinde dices: ur Radius cabularis ad radiur
nuper invenrum; ita sInuS P BR ad R L. Sed se B
Parribus similibus est invenienda, dicendo: ur semidiamete
maxima ellipleos Plarietae DB in parribus, qualium media
dictancia relluris a Sole elt 100000, ad eandem D Bcals
quam radium circuli continentis aream 360. ita A B CCCCH
tricitas ad eandem AB respondencem arex torius circuli 3
O
Deinde pro obrinenda anomalia coaquata angulo sc. P AC. 3
primum in Triangulo KB A daniuir R B, B A, _ angulus
EBK; unde parebir ec angulis B AR. POrrO VETO, U
DB semidiameter ellipseos maxima, ad F. B semidiame
trum minimam, ita RL cansens anguli R A L. nuper inven
ad C L tangenrem anguli quaesiri P AC. Exeripli pratia.
Decut