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# Title: Leibniz-Handschriften zur Mathematik LH 35, 9, 2
# Folio 63r, page id 00068126:0125
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3 Mo et 3M=) quod asserebatur. Hinc etiam
enuncatio
emenetlatro talis fieri porest: siquid moveatur in ellipli
paracentricam
velocitas circulaundi circasocuem eet ad velocitatem
ut
nempe desccnterdi ad facum vel a foco recedendi,, axis minor
seu transversus est ad latui differentia inter potestatem
distantie focorum intense et potestatem difserentia
distantiarum mobilis a fucis. Et quonam in
hac enuntiatione foci in disserenter tractantur, hujus
hinc sequitur permutatis licet focit ut alter pro altero
centrum circulationis attractionisque fiat eandem
in quovis puncto manere rationem circulationis ad
desdensum seu ad velocitatem paracentricam. elan
expunito ellipseor 3M agatur in axem ordinate
3
normalis scilicet) ch patet
t. (3MOF
n
ex rectang. exdM2
Min FO aequati duplo sriangulos adeoque ser
12 vel 13) aquari (20mo) ipsi BC in dimidioF qu. 6F qu
oer18 erat  ed in FG est ad De quu
velocitas circulationis
seubit 3MM
03 2OP ad D
ut VOFL = 1() EeSt ad BZ
Sed ethactiscculationis, ad paracentneagerut cilluatar
ideo fiet (2(m0)
ut 0FOF qu ad BC cobir 3M Y noto e ad Be qu. paracen
l. guam
paratentrica velocitas ad circulatotam q in ellipsi surbis
pa
dupla ordinata ad distantiae locorum et agiminom
tertiam proportionalem.
um
EL
s
Proigde (22me
e prolade sump inellipso
ia
rationis velocitataquu paracentricarum
sunt ordinatis proportionales, seu odem est
nc ve
ad Circulatorias retondentes ab
seu quod idem est rationes, vetocitatis qua plancta accdit altosero aut ab earem mat
qua planeta accedit ad solem aut ab abeo recedit a
circa solema
ais
velotitatem ejusdem timul ciralandi, sunt distantiis
sclaneta ali
accessus 
u
edut
a absidum proportionales. Itque ita
sinna s ratio actesser vel 
de recessut advexistentem circulatio
nem