# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/779782283:0159 # Permalink to this reading: https://leibnizlegible.com/page/779782283:0159?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 73, page id 779782283:0159 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=779782283&page=159 # Source image: https://digitale-sammlungen.gwlb.de/content/779782283/jpgs/default/00000159.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 84 lines, status machine # Lines: 84 recognised, mean confidence 0.92 # 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. L1B. II. DE COMPRESSO ET TENSO que adducie, alrerum etiam addu- est cadem viS MOELIX, per pFOP. 62 Cic, idque ricissim; isitur eo quod sed chorda AL, motu contractio- P, adducatur simut in L, _ in rad- ducitur necellario per FB, Lcd pei accidens; si enim chorda cenla in AFC. Ccindatur in P, verum que lcg- imentum adducieus, alterum in AL, alterum in C 7; igieur nulla habe- tur racio morus per accidens, quan- do idem sciplum contrahic, nec contractio impeditur, isitur aque cito chorda cenla cerrio modo ie- ducitur, ac primo. Dices chorda Eenta in AF, _E in AF, 2que cito seducitur primo modo; quia (patia TunE re mocus, hi vero ve spatia cequivalenter decurta, id est, ve ip- E centionis exceNus FL, FTL; aE VCEO certio modo lparia lune re crianou- la AEB, AFB, GUX FCHCFA NON LUNE VEMoTuS, id est, ve ipsi exceslus FL, EFLs VE Parec: Respondeo nullam habendam esse rationem lpario- eum, quae certio modo acquirun- tur, ve dixi; nempe hic mocus est per accidens, qui sequirur ex iplo contractionis moru, cuius tantim habenda est rario. PROP. LXXXV Chordarum ejusdem censtonis, sed diversae loneiudinis, minos cilius pri- Eig. 4. rensain AF, cuius Cesmentu accipia- EUL in I, reducieur in AR idque ci - eius, quod primo patet experiencia: nis minus spacium decurrie, quan chorda AF, ve patee; igitur ciriuisi mo modo reducitur: Sic enim chorda EUT AL, CCTTC AF, maios reducitus in ZA;mInOF verO AL, S Pecta Luppona- nempe xquali motu cirius decur- ricur minus Epacium, quam maius; isitur minor chordarum ciuldem centionis, led diuerla longicudinis, cirius primo modo reducitur. P ROP. LXXXVI. Tempora, quibus chorda ejusdem tensionis, sed diversa longiudinis, pri- mo modo reducuntur; sunt et ipsae chordae: V. 8. tempora, quibuscen- Fis u (a AI, AP, reducuntur, illa quidem in AR, haeC verO in AL. TuNEVE AI, AF, vel VE AR, AI, quod demon- Cro; quia spacia aeguinalenter de- curla lune in catione duplicata ip- Carum chordarum; nam Sparium quod aguivalenter decurricur à minore chorda AI, dum sc reducie Primo modo in AR, eAt ve crian- sulum rectangulum, Tub AR, RI, Per prop. 83 icemque lFacium, quod aeguinalenter decurritur a maiore chorda AF, dum primo modo le reducie in AI, est ve criangulum FubD AL, IF; Sed VE FT, est ad LA, ica ER. 2d RA, Per PrOp. 61. aC. Isitur AR, _RI, AI, _ IF, Cune lacera eriangulorum proporrionaliumigi- cur illa criansula seu spatia aequiua- lences decurta, Cune in ratione du- Plicata luorum lacerum homolog0- rum; Sed in moribus eodem modo acceleratis, sive in perpendiculo, Secundo probatur: omnia puncta liuc in plano inclinato, sive in (I- chordae AI, _ Chorda AF, Xqua- milibus arcubus circuloru inaqua- Licet cenduntur, per prop. 77 isieur liums tempora lune in rarione sub- aequali moru, veraque chorda ini- duplicata spariorum; acqui latera tio adducitus; aequali inguasm, 1a- rione (pacii, aequali tempore decur- praedictorum criangulorum homo- 10ga, scu spaciorum aequivalen- Li; nom rbi est eadem ris rentionis ret decurforum, hoc est ipla chor- dAFIIB