# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/779782283:0175 # Permalink to this reading: https://leibnizlegible.com/page/779782283:0175?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 89, page id 779782283:0175 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=779782283&page=175 # Source image: https://digitale-sammlungen.gwlb.de/content/779782283/jpgs/default/00000175.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 89 lines, status machine # Lines: 89 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. ei8. 4. L1B. II. DE COMERESSO Ex TENSO. Led propret camrationem, proprer riribus aequalibus R Facilius addu- quam reliltebat prius, ne rendete- EUE in AD; igitur hinc vides prio- ri difficuleati nouam concinuo ac- cedere; porro in ca ratione debent erelcere vires adducentes, in qua creleir difficutcas, ne hat redu- Ctio, re paret: hinc racio mul- eorum experimentorum perenda est. PROD. CZZI In tensione chordarum, minor fa- eilius rumpitur, quam maior: Sic enim maior AI, con Ca in A F; mi- nor vero Tubdupla maioris, AR, aequerensa in Al; maiorem rim re- quiric censio AL, in AF; quaIM AR in AI; est enim vis, ve pondus maximum quod non; aequi R2C pondera in chordis aque censis inaqualibus, Cunc ve longicudi- nes, per Prop. 90. igicur l chorda AI adduci debeaE IN AF, VE rUm- patur, id est remaior sic censio relistentia, quam habet chordas NC FUIMPAEUE; cerre chorda AR adduici deber in AI, VE LUIMPAEUE; nam omnia puncla ciuldem choi- dae xque cendi pollune; led maio- se pondere A I adduci porest in AF, quam AR in AI; vires autem Cune ve praedicta pondera, igieur minor vis adhibenda est, verum DaTUE AL, quam AF; igieur minOF Chorda Facilius rrpitur: adde quod maius spacium punctum extremum maioris chordu conticere debet, ve ad exciemum ec lummum cen-. Tionis chorda perueniat; minoris vero, minus spacium; v. 8. pun- ctum exeremum L maioris AL, COn- ACIE (pATIIIM. LF; CXEFCMUML. VerO R, minoris A R, consicie spatium R L, minus priore; isitus adhibiris cicur per minus spacium RI, quam L, Per maius IF; in quo vero pun- eto harFractio, dicemus paulo post: hinc pecenda est racio illius expe- rimenti, quo ridemus chordas ini- noris lyra, adhibico nilu axium illorum communium, quibus chorda inuolui Colet, Facilius rum- Pi, quam maiorum; hinc eriam per plures syros e spiras, involuenda eAt chorda maiOE, quam MIIOL, proptes praedictam illam rationem; nempe maius legmencum chordie maioris adducitur, ve ad candem CIIMI MINOFC FCMLIONCIM perVeNIAL: omitro alia, quae ex his Facile col. liges. PROP. CXXTI. Tuxta secundum tensionis modum. de quo supra prop. 80. explicari pos- sunt proportiones rensionum: Sit chorda Vu, aequalis AB; quae pex adductionem veriusque extremi V u. TendatuL in A C, etit aeque tenSa ac AB, ad dur t2 in A C, ve constac; est enim idem excestus censionis, in veraque; ee omnia veriu (que puncta lune aque renla; igicur est aequalis centio; sed in hoc nulla est diticultas; qua 12- men paulo maior est in aliis pro- portionibus demonstrandis; (cilicer. iuxca hunc secundum centionis modum, quas breuires perstrin- 6. LLeT. BLLLECL Vires, quions ni cisoraat t in c astals sunt dirious, quibus terdam al in . Etoddclt E18.40 quia eadem centio aequales vires supponic, in chordis ciusdem lon- sicudinis; scilicer aequalis eftectus, requale