# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/1066518432:0142
# Permalink to this reading: https://leibnizlegible.com/page/1066518432:0142?run=74
# Title: Phoronomia, Sive De Viribus Et Motibus Corporum Solidorum Et Fluidorum Libri Duo (shelfmark Leibn. Marg. 182)
# Folio 114, page id 1066518432:0142
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1066518432&page=142
# Source image: https://digitale-sammlungen.gwlb.de/content/1066518432/jpgs/default/00000142.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 36 lines, status machine
# Lines: 36 recognised, mean confidence 0.95
# 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.

TT4 DE VEREBOS EF NIOTTBOS CORBORDM. LIB. I.
regulaS mOtuS corporum actuosorum Facili ratione inde derirabi-
mus; Sed priusquam hanc tractationem aggrediamur, unicam pro.
Doliciunculam praemittere libet circa motum corporum inertium
Post condictum.
PROPOSTTIOZZXVIL TIEOREMA.
220. Corporum inertium, atque sibi invicem directe occurrentium, ce-
leritas ex directio post constictum est eadem, quae erat ante communis ipso.
rum centri gravitatis occur (um.
F18. 48. Sint AD celeritas unitormis corporis A, et BD relocitas COrPO.
ris B ante condictum, probandum est utrumque corpus A e B
motum iri pos occurlum celeritate CD, quae eA celeritas, qua cen-
trum graritatis C mobilium A, B ferebatur ante collisionem, exi-
Cente AC ad BC, sicut masa B ad mactam A, Icu ut pondus B ad
alterius A pondus.
Demonstr. Ouia motus corporum in collisione aliter non varian-
tur quam pro ratione inertix materixe, in iplo confictu res eodem
recidit, ac si corpora conjuncta, ac velut sibi inricem agg lutinata
morenda essent quantitate motus aequali excertui, quo motus major
alterutrius ex mobilibus minorem alterius excedit, li COrpOra CX Op-
Dolitis partibus sibi inricem obriam reniant, vel etiam aequali 29
Gresato quantitatum motus utriusque corporis, li ambo ad casdem
ParteS tendant. Inde cum in motus oppositione ex calu, quo cOr-
Porum centrum graritatis C cadic inter puncta D e B (5. 4 +.)
sIEB. BD = A. AD = (A + B). CD = A. CD + B. CD, cumque B.
BD = A. AD SIE CXCCNUS, quo motus B. BD Fortioris B exceditmo-
cum alterius A, patet ambo corpora A ex B post contactum celeri-
tate aequali CD latum iri ex C vertus O, id est celeritate et dire
ctione, qua centrum eorum graritatis ante impactum ferebatur.
Sin vero ambo corpora A, B ad eandem partem vertus  Cuis
celeritatibus particularibus AD, BD mOVCANtUE, CrIE A. AD L B.
BD = (A + B). CD = A. CD + B. CD, hoc est aggregatum motuum
corporum A, B ante consictum XquatUE GLanTITaTI MOTUS COruN-
dem, sed celeritate CD centri graritatis ante ietum morendorum;
feretur ergo ucrumque hac celerirate CD verlus O. Quod erat de
monstrandum.