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# Title: [Astronomiae Physicae & Geometricae Elementa] Astronomiæ Physicæ & Geometricæ Elementa (shelfmark Leibn. Marg. 124)
# Folio 350, page id 1040780814:0368
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ib.
350
ASTRONOMLE PAYSICA
Dos Elenilunium verum risa invenietur. FX invento Des metho-
dum supra indicatam motu Luna à Sole horario, determMsabu
arcus quo Luna distat a puncto e, ubi Plenilunium rerum celebratus:
Sit hic es; ideoque centri Luna Locus ad Tempus datum est 5.
Junsatur arcus 05 Luna Disco in m e H, circuloque CDC IN
R Occurrens. In triangulo 80P dantur
Prater rectum ad 0 latus 80 anguluI.
que o~P; unde invenientur latus or (jam
supra definitum) et angulus 0r2. In tri
angulo rursus oesdantur duo latera PO, PE
e angulus interjectus oes; unde dabitur
etiam O5 arcus, ex proinde hujus notigu
arcus sur differentia oM: Sed datur OR, 8
proinde iplarum oR, om differentia MR
data est; omnes nempe in partibus circuli,
ut lupra: adeoque, ut in casu priori, Ouantitas Rcliplis in Oneiis DI
ametri e Uncia partibus exprecta.
Si MR excedat Diametrum Lunx integram (quem casum (che
Ma anMCTUM FCFCFE) FclipEs dicitur tot Dieitorum quot Diametrs
Luna Uncias mx continet; abusire quidem e impropric, cum
proprie loquendo Luna deticere nequeat pluribus Digitis quam ipsa
habet in sia Diametro; me autem conslatur ex Luna Semidiametre
MS e se distantia minima Centri s ab Ombra marsine cDC, qua
(Per lem. Sphaeric.) circuli maximi centra o ec s conjungentis arcus
CA.
COROLLARTUMI.
Hinc Facile determinabuntur Telluris Loca, ex quibus Rclipis
Lanaris data Phalis spectari potest. Cum enim ad istam Phasin det
cientis Lunx locus ex Prop. hac detur, de hora in dato Loco Telluris;
dabitur (per COrOII. XXXVI. Lib. II.) Locus Terra, cui Luna tum
et in vertice. Omniaque Loca, qua hinc absunt minus quadrante
circuli, hanc ridebunt; qua magis, non videbunt; gua ipso qua-
drante, in Florixonte ridebunt.
CIOROLLARTUM 2.
Ex tribus ultimis Propositionibus Schema Relipsis Lunaris in
plano graphice prorrahetur. Cum enim tantilla Caeti Lunaris DarS,
quam Ombra (vel etiam Penumbra) Terra una cum Luna ad fi-
elipsis Initium illam tangente occupat, pro plano tuto postit ha-
beri: Ductis rectis, se decustantibus in ansulo aequali illi quem Via
Lunx cum FCliptica comprehendit, Circulos iltos, carumque con
curtu Nodum proximum referentibus; sumatur in recta Fclipti
cam reterente punctum a communi rectarum concurtu distans tot
partibus aequatibus quibusris quot partibus circuli (V. 8. Scrupulis)
Centrum Ombrae sive punctum Soli oppositum distat d Nodo; cen
ero hoc describatur Circulus Terrx Umbram referens, hujus Semi
diametrum toc prius assumptarum aequalium partium faciendo
quot scruxulorum in Coelo Ombra Semidiameter revera occupat;
ex hoc cenro ducendo rectas lam ad Felipticam quam ad Viam L. W
narem
De