# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/1041163592:0308
# Permalink to this reading: https://leibnizlegible.com/page/1041163592:0308?run=74
# Title: [Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica (shelfmark Leibn. Marg. 166)
# Folio 274, page id 1041163592:0308
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1041163592&page=308
# Source image: https://digitale-sammlungen.gwlb.de/content/1041163592/jpgs/default/00000308.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 45 lines, status machine
# Lines: 45 recognised, mean confidence 0.91
# 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.

274
PHIILOSOPHIS NALORMLI
DF Morotur eadem per datam arcus Creloidis partent co, a lumatur ar-
CorxonOM CuS Od in ratione ad arcum CD quam habet arcus  B ad arcum
CB: X vis qua corpus in d urgetur in Medio resistente, cum sIF CZ
cetus vis C d Tupra rCLSTeNEIAM CO, exPOnetUr per areum Od, ad-
eoque erit ad vim qua corpus D urgetur in Medio non resistente,
in loco D, UE arcuS O d ad arcum CD; et proprerea criam in l0-
eo B ut arcus OB ad arcum C B. Proinde si corpora duo, D, d
excane de loco B, ex his viribus urgeantur: cum vires sub initio
SInE uE arCUS CB _ OB, crunt velocitates primae ec arcus primo
delcripti in eadem ratione. Sunto areus illi B D ee B d, _ arCUS
reliqui CD, Od crunc in eadem ratione. Proinde vires, ip(Is
CD, Oa proportionales, manebune in eadem ratione ac sub initios
ec propierea corpora pergent arcus in eadem ratione simul delcri-
berc. Igitur vires e
velocitates et arcus re-
liqui C D, Od Temper
erunt ut arcustoci l. B,
OB, de propterca ar-
cus illi reliqui simul
delcribeneur. Ouare
corpora duo D, d I
mul perrenient ad loca
C de O. alcerum qui-
dem in Medio nOn re-
Sistente ad locum C, et
alterum in Medio resistenre ad locum O. Cum autem velocitates in
C _E O SInE UE arcuS CB, OB; erunt arcus quos corpora ulterius
pergendo simul describune, in eadem ratione. Sunto illi CF. et
Oe. Vis qua corpus D in Medio non relistente recardatur in F.
eA uE C F, ec vis qua corpus d in Medio resistente retardarur in e
eAt uc summa ris C’e ex resistentix CO, id est ut Oe; ideoque vi-
Tes, quibus corpora recardantur, Cunt uc arcubus C L, Oe propor-
tionales arcus CB, OB; proindeque relocitates, in data illa racio-
ne recardaca, manent in eadem illa data ratione. Velocitates ioitur
e arcus iisdem descripei semper sunt ad invicem in data illa racio-
ne arcuum CB ec OB; ec Propcerea si Cumantur arcus tori AB,
aB in eadem ratione, corpora D, a Simul describene hos arcus, de
in locis A ex a morum omnem simul amittene. Jlochronx lunt
igitur oscillaciones torx, _ arcubus totis B A, Ba proxortionales
Tunt arcuum parres quaelibet BD, Bd vel BF, Be quae simul de-
SCribUunEur. D. L. D.
orot.
.