# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/779782283:0047
# Permalink to this reading: https://leibnizlegible.com/page/779782283:0047?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 - , page id 779782283:0047
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=779782283&page=47
# Source image: https://digitale-sammlungen.gwlb.de/content/779782283/jpgs/default/00000047.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 60 lines, status machine
# Lines: 60 recognised, mean confidence 0.93
# 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.

ROPOSITION V M
23. Fribus modis potest areus lunari.
16
258. Quando areus proprio pondere renditur, inxta primum modum cur-
natur in parabolam.
ibido
2.59. Ouando lunatur arcus iuxta secundum modum non incuruatur in pa-
rabolam.
166
260. Si afficatur muro cylindrus obloneus, incurnatur in semiparabolam ibid.
261. Si appendatur pondus extremo cylindro, verricali plano affixo, in-
curnatur es deprimitur. Sed non in parabolam.
262. drcus porest plus es minus lnnari.
ibid.
263. Fst eadem proporiio rensionum ejusdem arcus, e ponderum appen-
sorum.
ibid.
264. Omnia puncta semiareus tensi ab appenso pondere inaqualiter ten-
duntur.
ibid.
265. Ouando lunatur idem arcus, semper est eadem quantitas linea curuae,
licet sit obeusior, vel acurior; pro maiore, vel minore ten-
sione.
168
266. Ouando omnes partes aequaliter tenduntur in arcu,  deinde frat re
ductio, partes qua sunt versus extremitares adductas, reducuntur
ab aliis pro rata.
267. Si linea vel cylindrus incurnerur in arcum circuli, fiatque reductioivis
motus maxima est, in exeremitate quae reducitur.
268. In hac hypothest linea incurnatae, vis motus sinculorum punctorum est
et distantia corumdem, ab extromitate immobili.
ibido
269. Flinc vires motus torius linea incuruata, sunt et triangulare planum
rectanculum, cuins basis incubet extremitati, quae reducitur, es
alierum latus circa angulum rectum sit ipsa lonsindo linea in-
curnatae
ibid.
. St planum crianeulare cendatur in circularem arcum, vis nisus extreme
puncti quod reducieur, est et trianculum orthogonium, cuins
alterum lacus, circa anculum rectum; sit vt nisus extremi pun-
cti linea tensa, alterum vero; et basis praedicti plani tensi, in
qua scilicet immobiliier afficitur.
ibido
reilo posaa determinari vires nisus quae insunt sinculis punctis
huus plandriangularis; censi
272. Si linea tendat mgnaliter, ita vi decrescat continud rensio, versus
extremum mobile. determinari possant vires nisus sineulorum pun-
ctorum ad reductionem.
ibido
275. Odnea tendatur inaqualiter, ita ut versus extremum mobile, continuo
tensio crescat, determinari possunt vires nisus singulorum pun-
ctorum, ad reductionem.
274. Spatia quae a singulis punctis linea tensa in arcum circuli decurruntur
non sunt ec distantiae a centro.
275. Linea incuruata in arcum circularem; dum se reducit, moin accele-
rato se reducit.
276. o veloenas crescit in illo motu.
7I. Finc
ooo
277. 2Yon