# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/1066518432:0065
# Permalink to this reading: https://leibnizlegible.com/page/1066518432:0065?run=74
# Title: Phoronomia, Sive De Viribus Et Motibus Corporum Solidorum Et Fluidorum Libri Duo (shelfmark Leibn. Marg. 182)
# Folio 37, page id 1066518432:0065
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1066518432&page=65
# Source image: https://digitale-sammlungen.gwlb.de/content/1066518432/jpgs/default/00000065.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 35 lines, status machine
# Lines: 35 recognised, mean confidence 0.92
# 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 VERLBOS ET MIOTTBOS CORPOROM. LIB. I. 37
II
85. Tenacitas vel Firmitas Ali aut corporis in quolibet ejus pun-
eto seu elemento currae, est ris illa Aili aut corporis, qua potentix
illi aut ri ex omnibus applicatis potentiis nascenti, atque tilum in
contrarias partes trahendo id dilacerare conanti, resistit; atque
adeoxquipollet, rel aequatur, ipsi ri dilaceranti, ex omnibus corpo-
ri applicatis potentiis resultanti.
TTI
86. Potentiae laterales ex fili aut corporis tenacitate in quolibet
ejus elemento, derivatae, lunt dux pocentix secundum directiones
sibi inricem ad angulum rectum occurrentes, ex quibus conjunctim
asentibus relultaret ris aut potentia aequalis corporis tenacitati in
dicto ejus clemento, aut etiam ri ejus dilaceranti.
Sic cum tilum, rel potius sili elementum Bb, ri quadam Cx Om- Fi8. 29.
nibus applicatis BII, BII ec. resultante tenditur, idque lua tena-
citate aequali vi tendenti impedie ne extendatur aut prortus rum-
Datur, haec tenacitas, aut vis illa tendens tenacitati aequalis, intelli-
si potest, tanquam potentia relultans ex potentiis lateralibus, sccun-
dum BMI _ BI Cimul agentibus. Et vis qua tenditur elementum
BB, cui tensioni id sua tenacitate relistie, spectari potest tanquam
nalcens ex duabus lateralibus potentiis juxta directiones BN e BK.
Ejusmodi potentias laterales juxta BMI vel BI, e juxta BNI auE BK
deinceos designabimus per pBM, pBI, pBNY e pBlc. Tenacitates
vero duorum elementorum contiguorum Bb et BB indicabimus per
ex t
Cxterum in hisce supponimus silum quidem Aexile esse in omni-
bus suis partibus, non rero extensibile.
PROPOSITTOXI L E M M A
87. Si fuerint quotcunque decrescentes maenitudines A, B, C, D, P.
erunt omnium differentiae simul sumtae aequales excessui maximae supra
minimam. Nam ulero liquet, ese A =B, L B - C, + C =D, + D
E = A - F, unde s P. =0, erit summa differentiarum maxime
A aequalis.
dCHO.