# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/779782283:0245
# Permalink to this reading: https://leibnizlegible.com/page/779782283:0245?run=74
# Title: [Physica, Id Est, Scientia Rerum Corporearum, In Decem Tractatus Distributa] Physica, Id Est, Scientia Rervm Corporearvm, In Decem Tractatvs Distribvta (shelfmarks Leibn. Marg. 7:1-2; ZEN Leibn. Marg. 7:1-2)
# Folio 159, page id 779782283:0245
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=779782283&page=245
# Source image: https://digitale-sammlungen.gwlb.de/content/779782283/jpgs/default/00000245.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 89 lines, status machine
# Lines: 89 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.

L1B. II. DE COMPRESSO ET lENSO.
259
alibi demonstratum est: iEague SIE BD, FFL, SIE diaeteE OrIS, vel
diameter CD, dupla diamerri BA, canicaris EF, dupla diametri oris
Eis. 34. vulgo calibre; CD, erir qua drupla BC; ac proinde balis illius, est
baseos AB; Cunc enim circuli, re quadrupla balis huius; igitur sic
quadrara diamerrorum; igitur vis
compressionis exrensive e incensi-
ne considerata, quae inest macerix
accenta CF, est quadrupla alte-
rius, quae inest materiae accenlae
BE; isieur ris imprimens quadri-
pla; igitur ee vis imprella; igieur
ex pila emissa; igicur demum e
ictus obleruabis, hic lupponi ma-
ceriam, quae tora limul accendacur,
quod non tic in vulgaribus cata-
Pulcis; quod camen Heret, (I peF
rimulam perexiguam KL, Cubcililsi-
mo ferro actam, ionis iniiciatui,
cunc enim eodem fere, aeque riro
instanci, ionis accenderetur.
Nono, hinc crassicudo metalli,
Ceu laceris mecalli, debet esse ma-
ior, quando crassicudo cauiratis,
Ceu diameter oris, vel balis maior
Cs; immo debet veraque crelcere
in eadem proporrione, ne scilicet
vis comprectionis magis crelcat,
34. quam rehstencia; v. 8. vis COm-
pressionis canne CH, Cumpra (Cci-
licet, cum incensiue, cum excensi-
ue, est quadrupla alcerius, leilicer
cannae BC; isirur reliltentia me.
calli, seu cannae illius debet esse
Quadeupla huius: porro relistentia
Cunc, re crassicudines praedicti la
teris cannae; nec enim quidquam
facie, vel longicudo cannae, vel
maior. Ceu minor cauitas: hinc
PtaXis communis rarionem rides;
nempe maiora cormenta maiorem
quoque mecalli craiicudinem ha-
bene: hinc diamerer crassicudinis
mecalli, deber magis crelcere,
6. 35. Quam diameter cauicaris; v. 8. CInc
duae carrae eiuldem longicudinis
BA diameter cralsicudinis netalI
Actula BD, dico F C seu diametrum
crassicudinis metalli Actula FFL, elle
quadcuplam AB, re patet ex dictis.
Decimo, Si Rictula Sint eiuldem
cralsicudinis, led diverla lonsitu-
dinis, decerminari porest piopor-
tio virium impressarum; Cunc enim
rices imprelta, ve velocicaces ac
quilita; quod Cape dictum est:
Luppono aucem Aictulas instructas
elle eadem pulueris quauritate, dt
alcicudine; Suppono praecerea ma-
ceriam accentam compreltam eri-
bus modis considerari polse; nam
re acquirat debitam extensionem,
rel exisit locum maiorem Eota ca-
vitare tictulae, vel minorem, vel
ipsi aequalemm; (I aULEIM ACCIBIAHEUIE
omnes coniueationes duarum A-
Cularum, diverlae longicudinis, vel
alcera exisir aequalem, altera ma-
iorem, sc prima coniugatio; vel
alcera aequalem, alcera minorem,
Sc secunda; vel veraque maiorem,
Ec cerria; vel reraque minorem, siE
quarra; vel altera maiorem, altera.
minorem, (ic quinca.
Vndecimo, relocitates corales
acquiliexe in nac hypochel, Cune
ve cunci eiusdem alcicudinis (cum
supponatur aequalis in reoque ca-
Cu materia) quori bales lunE
inaequales; une aurem bales hu-
iulmodi, re relocirares acquilicX,
ab exrremis punctis mobilibus, vel
balibus; re supra fere ad nauleam.
explicacum est, praelerrim prop. 234.
porio relociares acquilita ab cx-
cremis punctis lune re plana, crian-
sularia quidet, si AdE incra cubum
IACCSFB