# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/1066518432:0127
# Permalink to this reading: https://leibnizlegible.com/page/1066518432:0127?run=74
# Title: Phoronomia, Sive De Viribus Et Motibus Corporum Solidorum Et Fluidorum Libri Duo (shelfmark Leibn. Marg. 182)
# Folio 99, page id 1066518432:0127
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1066518432&page=127
# Source image: https://digitale-sammlungen.gwlb.de/content/1066518432/jpgs/default/00000127.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 40 lines, status machine
# Lines: 40 recognised, mean confidence 0.94
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
# Licence: CC BY 4.0, Leibniz Legible. Machine output: do not ingest it as verified text; keep this provenance with the text.
# Wording rule: say "the machine reads it as …", never "Leibniz wrote".
# After the first blank line: the recognised lines in reading order, one per line.

DE VERIBOSETMOTTEOS CORPORDM. L.IB. I. 199
bitis mobilibus, problema, inreniendi ex data lege Colicitationum
centripetarum rationem F’ad C, qua motus apsidis ae determinatur,
Tolutu difficile non erit per methodum mox exponendam. Ingenio-
la est ria e oppido clesans quam Cel. Nerrtonus sequutus est in
Colutione ejusdem Problematis, Supponens orbitas propemodum cir-
culares, quamque Fusius explicat Sect. TX. LIb. I. Princ. Phil. Nat.
Math. et postea prolixo commentario illustrarie Dar. Gregorius in
Cuis AMronomix Physica ex Ceometricae Elementis L ib. IV. Seet. II.
Taudata Nertoni methodus consistit in comparatione terminorum
alicujus seriei intinitae cum homologis terminis in Canone pro de
terminatione Colicitationum centripetarum in orbita mobili, caque
pro singulis noris exemplis noras series novumque calculum sub-
ducendum deposcere ridetur. Sed quid, si modum Facillimum apc-
ruero, quo idem absque ullo forierum infinitarum auxilio obtineri
queat, imo lonse plura, quandoquidem praebet canonem gencra-
lem, quaecunque solicitationis centripetae st lex, rationem Lad
C manifestantem:
195. Sic generaliter Colicicacio centripeta in orbitae mobilis pun-
etob, uE P: BC, eritque (5. 193.) P = AC. BC. cpA, + (F. - 6)
AC: AO. cpA: C, ec, si decrementum intinitesimum magnitudi-
nis P, dicatur 9. bm; Formula determinans Colicitationem centri-
Detam in orbitxe mobilis puncto d, erit P, -O. bm = AC. dC. CpA,
+ (F. = C). AC. AO. CpA: G = AC. BC. Cp A - AC. bm. Cp A, +
F =C). AC. AO. cpA: C, quae ex priore subducta relinquet
O. Bm = AC. bm. CpA, vel O = AC. opA; qui ralor in prima hujus
articuli aequatione substitutus, efficiet P = 7. BC + (H  - (5). C
AO: G, ex qua clicietr F: G =Y (P = O. BC + O. AO: O. AO).
Verum, quia Cllipsin ABE ad Formam circularem quam proxime ac-
cedere cum Newiono suxponimus, ideo ip(x BC, AC EF AO tan
quam aequales tractandae Tunt, nam semissis parametri ellipscos, seu
AO, a LemidiamCerO AC vel BC circuli in quem desinit, non dif-
Feret; ac propterea praecedens analosia abit in hanc simplicem F:
G = VP: YO. AO. Oui est Canon generalis, qui guarebatur aEque
promittebatur supra, pro orbita mobili elliptica.
296. Redulam peaecedentem unico exemplo illustrare libet, quod
nobis omnium instar erit, idque ab IIustri Nertono mutuabimur.
Sic ergo Colicitatio centripeta in orbiex mobilis puncto b, ut quan-
cicas aa fb, ubi 3 signitieat bC vel BC. in f5. 47, exicque proin-
de