# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/779782283:0156 # Permalink to this reading: https://leibnizlegible.com/page/779782283:0156?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 70, page id 779782283:0156 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=779782283&page=156 # Source image: https://digitale-sammlungen.gwlb.de/content/779782283/jpgs/default/00000156.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 86 lines, status machine # Lines: 86 recognised, mean confidence 0.89 # 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. PH ZSTCA TR ACP AYVS I. prOP. 63. iremque LB, TIB ve de- censionem, ducanEut quadeantes monstratum est rom. de moru loca- n R V, RIB; tendaturque chOr- li lib. 8. CeTFE IMOTUS IIXLUS FI, IB, IECIGUE MIXCUS CX EHI, IIB, ccc. agualibus temporibus AeHI; acqui perinde res se habet acque si hic mocus ex duobus praedictis ImiXEuS Cllet. Jeaque ex dictis colligo, omnes ribeationes sive maiores. Uine mi- nores chordae tenla, esse aeque dinturnas, id est aequalibus cem- poribus pertici, quod cerre ad rem Eonorum plurimum conterc, re luis locis ridebimus. PR O LXZVII vil. pI Omnia puneta choraR tensae aequa- licer tenduntur: Ouia cum cendan- cur per impetum; hic certe omni- Bus punctis chorde aequaliter di- Rribuitur, modo singula aqualiter resictane; cur enim plus rni. quam alteri; cum Ccilicet moru recto ad- ducieur; isirur li xqualis impetus omnibus puictis chordae imprimi- TuI, aequalis etiam censio, i CIn- sulis, ex aquali Ccilicee imperu conseguitur; nempe ex eadem cau- Pa idem eRfectus; lupponicur enim arareria homogonca. PROP. LZZ VTI 8. 4. Omnia puncta chorde tensae, AC. dum se illa resticuit monentur motu recto: Y. 3. GE chOEda A C cenla in AF C, dum illa le rectituie, pun- etum P percurrit lineam rectam FB; punctum Irectam IV, EC. de puncto F constat, cur enim pocius Tursum, quam deorLIm IOUCreTUES da in A IF, rbi se reduxit I est in V, X F in B; estque F L, ad TA, ve ER ad R A; Sed I se restiruit in R, _ F in I proportionalirer; id est cum motus sine re distantia, id est mocus puncti I, ad morum puncti R, VE I A, ad R A, rel quod idem est, VE PA, ad I A, vel F L; ad TR, per corollar. prop. 61. cerre remporibus aequalibus, puncta Fe L acqui- runc spacia, quae TunE rEmotus, cum mocus sine ve spatia, remporibus aqualibus, re iam Cupea octenlum CspFoP. 62, 62. QC. igitur rbi chor- da cenla ab AF, per reductionem traduCa est in AF, S ducatur IV L parallela F B, punctum F est in E, dc punctum I est in Z; quia VeFL, est ad I A, ITa F. Y: cst ad Y A, ac F L8 L A imminuuntur proporcionalicer, ve iam dictum est; igieur relidua CciliceEL L, YA, Cunc in eadem proporrione, in qua Cune cora, Scilicet FL, TA; s enim Tublaca Cune he eora, eriam relidua TUInE NE SUbLaTA, _E FOEA VE paTet; isitur s per reductionem chorda ECIITA A F eraducatuE in AF, 8 L(ICIN Z; FL, CK adIA, VEFY, ad YA; ioitur Z est in linea IV paral- lela F B; idem dico de aliis punctis; igitur omnia puncta chordae cen- Ex per lineam sectatm MMOVeH. eni. Omnia puncta choraa celso ga praedicto modo sese reducit. moven- cur per lineas rectas parallelas: Ouod F:s. 4. de puncto I Facile probatur; quia line rectae, probaEuE Per PFOP. 78. rbi Fpervenic in F, vel pociusco quod sint etiam parallela, ex ea- Ea A F, in A F.; punctum P est in dem constac; quia cum omnia Y; nemPCsinE puncta RI, ance puncta moveantus proportiona lirer IKOT. LZ ZIX.