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# Title: [Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica (shelfmark Leibn. Marg. 166)
# Folio 412, page id 1041163592:0446
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2
PHILOSOEMILAL HALDRALIS
DE MONDT
ErSFENATE PROPOSITIOXXXII PROBLEMA XII
Invenire moru medium Lodorum Luna.
mediocrium in anno. Concipe Nodum verlari in N, ex singulis
horis completis retrahi in locum suum priorem, ut non obstance
motu suo proprio datum semper servet sicum ad Scellas FixaS.
Interea vero Solem S, per mocum Terrae, progredi a Nodo, et
cursum annuum apparencem uniformiter complere. Sit aurem
Aa arcus dacus quam minimus, quem recta TS ad Solem semper
ductas intersectione sui ex circuli N An, dato tempore quam ni-
nimo describit: ec motus horarius medioeris (per jam oAtensa)
eric uc 9 u Cu (6D proportionales AL ZY) ut rectan-
sulum lub 1Z et L au uc alca ZTa. EE summa om-
nium hierarioru motuum medioerium ab nuio, M umma o-
nium arcarum a L L. A, id elt, uc area A LL. L. A aurem maxima
Mocus medius annuus est summa moruum omnium horariorum
AZ Ta equalis rectangulo sub arcu  d a Lactio circuli; ec PrOP-
relea summa omnium rectangulorum in circulo cel  uttam
totidtem maximorum, ut area circuli corius ue ecanu su
circumterentia eota ex radio; id cst, uE 1 ad 2. Motus aurem ho-
rarius, rectangulo maximo respondens, Crat 16. 26. 37 42. FF
hic motus, anno coro sidereo dierum 365. Bor 6. min. 9. HC
39638.7. 50. Ideoque hujus dimidium 198249. 3. 55. est mo-
d