# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/779782283:0040 # Permalink to this reading: https://leibnizlegible.com/page/779782283:0040?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 779782283:0040 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=779782283&page=40 # Source image: https://digitale-sammlungen.gwlb.de/content/779782283/jpgs/default/00000040.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 61 lines, status machine # Lines: 61 recognised, mean confidence 0.90 # 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 NODSIS tus impresse. sunt in ratione duplicata chordarum. chorda plus, vel minus cendatur; scilicet tertio modo, tota velocitates acquisirae, sunt ut cnnei ejusdem altiendinis quorum bases ibid. empore quo percurritur aliguod spatium ab extremo chorda maxistensa puncto; scire, quantum velocitatis es spaty deccurra- tur ab extremo chorda minustensa puncto; posiro aegnali vtrinsque na chorda inaguales, aeque tensa, extremum punctum virius- ib id. nque punctum exrremum seorsim ab aliis, sua chordae reductio. nis spatium decurreret, haud dubie sparia essent ut tempora. ibid. pitur motus versque chordae, spatia chordarum sunt in dupli- cata chordarum; es sparia punctorum extremorum sunt et chorda XY5. Eadem longitudo, e didersa tensio, duobus modis potest considerari ibid. 2161 n potest dererminari tempus totalis reductio- ibid. 217. Tuxta hunc eumdem motum, determinari potest proporiio totius velo- 218. Determurt pors docitas acquisira a tota chorda, qua manet eriam coa M sici reCio 219. Chorda initio facile adducitur, sed post difficilius. X20. Dissicultas illa crescere potest uniformiter. 22Y. In tensione chordarum minor facilius rumpitur quam maior. ibid. ibid. 89 222. Luata seeundum tensionis modum de quo supra prop. 30. explicari pos- sunt proporiiones tensionum. ibid. 223. Vires quibus tenditur chorda V u In AC, aquales sunt viribus, qui bus tendiur AB, in AC. ibid. 224. Pis applicata exrremo puncto A, agnalis esse debet applicata extremo puncto . 125. Vis quae admonetur puncto B extremo chorda AB, 2t cendatur in AC, est dupla illius, quae admonetur puncto u, itemque illins quae admonetur puncto V. extremis chorda V u, et tendatur In ibiao +26. Opacium decursum a chorda V u, iuxea secundum tensionis es redu– etionis modum, se reducente, est ad spatium decursum à chorda AB, aequetensa, inxta primum modum se reducente, et V B, ad A B. ibido 127. Vis motrix, qua se se reducit VB, non tantum inest sezmento V B, sed 28. Motus chorda Vu, Tensa In AC est aequalis moinni chorda AB Ten sae ls 2 ibid. Tempora quibus (, 5 AC, in AB, reducuntur, sunt YB. B. id est et so ibid. 130. Determo X2O. et sint in ratione excessium tensionis. 212. L 112. Si excessit 3C que aeqnalem. initio habet velocitatem. 113. X24. et aCC Vel ei tempora: citaris acquisitae, per totalem reductionem. etiam seemento B p.