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# Title: [Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica (shelfmark Leibn. Marg. 166)
# Folio 406, page id 1041163592:0440
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1041163592&page=440
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406
PHTLOSOPMLLE NATDRALIS
B.MoNDIUS, Tune ad inricem uE F ad 59,575. Ergo cum motus medius
ExorenarE horarius Lunx (respectu Aixarum) (IC 32. 56. 271. 12173, motus
horarius Nodi in hoc catu erit 33. 10. 33. 12. Aliis autem in
casibus motus ilte horarius crit ad 33. 10. 33. 12. UE Conten-
cum sub sinubus angulorum erium YP I, P YN, dc STN (scu
distanciarum Lunae a Juadraturas Lunxe 2 Nodo, de Nodi a Solc)
ad cubum Radii. Pt quories signum anguli alicujus de 2firmatiro
in negacirum, deque negatiro in aftirmatirum mutatur, debebit
motus regrestirus in progressirum ex progressirus in regressirum
mutari. Onde Ec uc Nodi progrediantur quoties Luna inter Oua-
draturam alterutram ex Nodum Quadraturae proximum vertatur.
aliis in calibus regrediuntur, ec per excestum regresus supra PFO-
sressum, singulis mensibus feruntur in antecedentia.
Corol. 2. TTinc A 2 dati arcus quam minimi P M terminis F
e M ad lineam Quadraturas jungentem Dg demittantur perpen-
dicula FR, Mk, cademque produeantur donec secent lineam
Nodorum Nn in D et d; erit motus horarius Nodorum ut arca
MDD a ee quadratum lineae AL conjunctim. Sunto enim
PR, DYI _C AZ PraeCICH ICS AuS. NeMPC PR sinuS di-
AtaleIA Lunae a Ouadratura, F FF sinas lancixe Lunxe a Nodo, et
AZ linus distantix Nodi a Solc: ec erie veteado coe
tUm PXCX P FCX AZ. EA autem Z Z ad P R UE F M ad Rks
adcoqu  dataS PY ec F M eA RR ipA F R proporrionaliS.
noulo
EA _ A2 2 a 2 alLLsterea PHI