# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/779782283:0684 # Permalink to this reading: https://leibnizlegible.com/page/779782283:0684?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 598, page id 779782283:0684 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=779782283&page=684 # Source image: https://digitale-sammlungen.gwlb.de/content/779782283/jpgs/default/00000684.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 79 lines, status machine # Lines: 79 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. i D EZSTCF YR ACF A FVS IY ora relistentiam respectiuam; sed tamem ad subduplum, decrelcen- per excestum virium ponderis, u- do, peruenie; sed cuncta haec, 8 pra relistenciam abloluram balis alia similia ex dictis Facile intellioi ML; hoc polico, decerminari po. e demonstrari pollune: omiero cest, ad quam lonsicudinem possie alias fguras conicas, in quibus peoduci; sic enim rectangulum nihil singulare, ad rem praesentem DML, cancae longicudinis, ve illius pondus, adaequer relictenriam ab- Faciens, reperio, quod non ex ijl dem principiis consequatur, et pro- Toluram basis BL, aftixae plano ho. Be demonstrceur. rixoncali; ica re longicudo rectan- suli deorlum excurrat; pondus il- lius rectanguli DM, est criplum erianguli parabolici AML; igieur eriongulum parabolicum lub eodem axeMI, e longicudine, vel appli- caca cripla MA, ad2quabie relI. Ecentiam ab Coluram baliS ML; Cive haec batiS MII. aftigatur plano versi- cali, Cive horizontali: Porro hue Cine duo plana limilia, e aequalia AMTL, Cimul iuncta, Cinc 3. line 4. Rc. Cve virum tantum GIE, polica eadem alricudine BasIS NIL; qua- cunque sic randem lacicudo, ma- nec eadem momentorum aqualicas, ve patet ex dictis. Elinc vides quam longe proiici possine, seu producis Iuperiores aedium, seu murorum margines vel ingrandia; s iuxca hanC AGUTAI COMPONaNEUE. Vndecimo, si haec plana ica aAI- santur muro, ve planum iplum, vel ipla basis, sic hocizonei paralle- la; decerminari pollune momenta v. 8. In planO AML, mOmenEA CunE ratione ponderis appensi, in ratio- ne distanciarum, permucando; Pci licet aduerous divertas bales; et ra- eione ponderis proprii, in duplica- ca carumdem permurando: in pla- PROP. L XX V. Si prismamuro vercicali ita assi satur, et parallelum sit plano. sur- sum inclinato, es pondus cius extre- micari appendacur, momentum illius ratione vectis, aduersus basim assi- xam, est ad momentum eiusdem pon- deris appensi eidem prismati, affixo. borizontaliter, ut sinus complementi anculi inclinationis, ad sinum torum CiFenim muruS AC, verricali cireu- Pig. 17. 10 parallelus; sie prilma altixum Fab. 2. BF; licque in P pondus appensum; Ec deinde idem prilina BC, plano Cursum inclinaco parallelum; (F- que idem pondus appensum in G. duCanEUE GL, OF; BF, vel BO, GIE (IUS EOTUS; SIT CFBE angulus incli- nationis, cuius OF est linus rectuS; _ GL, vel BF, Cinus complementis dico iriomentum ponderis appenti Cr, elle ad momentum eiusdem ap- PenHF, VE FB, ad BC; vel BL3 re demonstratum est Fuse, Fract. de moru l. 5. _ FraCE. 1. L. 4. ConstaE- que ex principiis Baricae; nem C pondus appentum C, perinde sc habet acque li incubaret plano in- clinaro CB; acqui li hoc esset, ejus mecus per GB, eller ad mocum per HO VCTO ADL, catione ponderis ap OF, perpendiculum, ve CF, 2d pensi, in compolica balium permu- CB, eius veco granicario in CB, cando, e distanciarum; iuxta hunc eliet ad gravicarionem in ROriZON- modum. licet momeneum decrel. talem BF, VE BF, ad BG; VE Cen- cut continud verlus L, nunquam cies demonstrauimus.