# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/779782283:0048 # Permalink to this reading: https://leibnizlegible.com/page/779782283:0048?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 779782283:0048 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=779782283&page=48 # Source image: https://digitale-sammlungen.gwlb.de/content/779782283/jpgs/default/00000048.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 61 lines, status machine # Lines: 61 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. Y N OPSIS 277. Non creso velocitas oniformiter, licet continue dum sit reductio oescat. ibid. 278. In eadem proporiione decrescunt nisus in reductione pradicta, in qua decrescit tensio, in ipsa reductione. ibid. 279. Decresciirensio cxlindri censi in arcum circularem, in ipsa reductio ne, in eadem proporiione, in qua decrescit curnitas. 280. Curuitas decrescit, in ea proportione, in qua circuli peripheria crescit. ibidem. 2B1. Determinari potest velocitas acgnisica, peracta scilicet reductione; ab extremo puncto arcus curnari, inxta praedictam hypothesim. ibid. 282. Omria puncta praedicti arcus tensi aeque cito reduenur. ibid. 283. Singula puncta praedicti arous redueunt se se mou inaequali, id est, in aqualis velocitaris. 28 284. FXx his haberi potest tota velocitas, seu vis nisus acqnisita ab aron per reductionem inteeram, in hac scilicet hyporhesi arcus circularis ibid. 285. Si duaelinea simnl inneantur, es incurnentur in arcum circuli, orit dupla vis nisus: si tres, tripla, 5c. ibido 286. Flins vires cylindrorum, aque rensorum, einsdem loncirudinis, sed di versa crassiudinis, sunt et bases. 18F 287. Tlinc vires nisus, acgnisica per reductionem, in eadem proportione, vel progressione, acquiruntur; in linea, es exlindro. ibid. 288. Si rectanculum trianculum cuius basis immobilicer affixa est, conda- tur, e reducatur, determinari potest proporiio virium nisus; quas acqnirit per reductionem. ibida 289. Si linea, vel cylindrus tensus in arcum circularem, sit diverse lonei- eudinis, sed eiusdem crassiudinis, es tensionis, cum alio, potest determinari proportio virium nisus. 18 290. Si cylindri consi sint einsdem matoria, tensionis, loncimdinis. sed diversa crassitudinis, determinari potest proporrio virium acqui- sicarum 29l. S. ad tensionem exlindrorum, ejusdem materia lonciendinis, e crassitu- dinis, diver sa pondera appendantur, tensiones sunt ut pondera. ibid 292. St eylindri sine ejusdem materia longiudinis, e crassindinis, sed di- versa tensionis, vires nisus, initio reductionis, sunt et ipsae ren- siones. 293. n otont hsbihest censiones sunt et incurnationes. 294. F adem est proporiio curnitatum, e circulorum permutando. 184 ibid. ibido 295. Ex his reliqua decerminari possunt quae ad hanc hypothesim spectant ibia 296. St o onso antse tensionis, e loncitudinis. determinare 295. Sts anersbrufis, es longitudinis eadem proporiio determi- ibido 250. er sint auter sa tensiotos crassildiris, eadem proporrio determinaro otest. ibid. potest proporio ditum. ete bto d 2