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# Title: Leibniz-Handschriften zur Mathematik LH 35, 10, 11
# Folio 105r, page id 00068164:0209
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Ellipsis planetaria cujus focus
est sol O, Aphelium A, perihebum
lat axis Ellipseps AP, ejusdem
latus rectum qR. Centrum
Ellipseos C. media planetae a
sole distantia in M.
Lex motus Elliptici est ut sector
Elliptici ex sole
seu foco Abscissi sint temporibus proportionales.
seu areae
ACB
A
DD, AOI
s
AC
1
es
L, AON, et
sunt ut tempora quibus percursi sunt
arcus AB, Ad
AM,
Je
L, AN et.
sector autem Ellipticus quilibet ut OAd sic
quadrari potest. centro C. cdio diam tro AP
de scribatur circulus, et per punctum D ducatur dE ordin
ad axem hormatis, quae prodocta circulum secat in F 
constat portionem circularem AEF esse ad Elliptuam
AED, vin subduplicata ratione
AP ad ZR. portio autem circularis EF sic
quadratur. Quia datur CF (hoc est CA) et CE ideo datur ex
tabulis angulus FCA. Ergo et ratio arcus AF ad circumse
e
pentiam totius circuli. Sed circum ferentia est ad diame
trum, ut 10000000000 ad 31415926535. ergo datur
ratio arcus AF ad diametrum AP, seu datur recta ipsi e
e
en
AF aequalis a Hujus recta seu arcus dimidium si multiplice
tur per semidiametrum CA habetur sector circularis
cuui triang. CEF, s detrahe fit portio circularis AEF, quand
multiplicando per numerum datum ( rad quadr (de iRdiviso
Per APY) fit portio Elliptica AED. curuddendo triangulum (DEY
D.
habetur sector Ellipticus