# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/779782283:0174 # Permalink to this reading: https://leibnizlegible.com/page/779782283:0174?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 88, page id 779782283:0174 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=779782283&page=174 # Source image: https://digitale-sammlungen.gwlb.de/content/779782283/jpgs/default/00000174.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 85 lines, status machine # Lines: 85 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. PH YSIC A YR A CT A iX V5 I. AX, VE AC, aeque renlae, e addu- praererca vides clarissime quam pa- Ax; V. 9 in ADC; secunda, Si sine rum inicio adducacur, id est, iuxta dux chordae, ve AC, aeque censae, B; Sed in hoc non est difficultas, quarum una adducatur in ADC, porestque decerminari proporrio v. 5. alia In AFC; cerria, si sint duae Chorda, VE AC, CCd NON Xque TeN- Cx, quarum veeaque adducatur in ADC; quarra denique est, (i linc due Chordae, VE AC, iaqualiter cenLX, quarum vna sic adducta in ADC, alcera In AFC; rno verbo, vel est eadem censio, simul de adductio; vel eadem censio, led diverla adductio, vel eadem adductio, diverla rensio; vel diverla cesro simul ex adduerio. Einc etiam Facile colligi po- rest proporrio virium imprella- rum lagiece a chordis, iuxta hunc modum censis, adductis; se- ductis; led hic non sepeto. PROP. CXIX. Chorda initia facile adducitur. Sed past difficilius: Adductionem chor- dae appello, illam centionem, qua Ac per communem veriulque leg menti cangentem;r. s. si B, centrum AC, peF VF, adducatUE; hOC pO-- maioris, vel minoris difficul- catis nempe difficultates (ve sic eig. 4. lico; Facile probacur propotirio; Loquar) non lune reanguli, sed quia inicio minor ris centionis (ve Ac Loquar) imprimicue; gux cer- te eo minor elt, quo excellus ten- Lionis minor est, re paret; Led hic, initio minor est; immo minimus; nam ansulus contingentia RBF, nihil Ferc iuxta punctum conta- EtLS, INFCF aFCUML dE TaNOCNCCI, CC- linguie, _ nulla CA FerC SeCanEeM Incer, eE Sinun totum, in modico re censionum excessus, id elt, re dif- Ferentia sinus corius, id eA, chor- da non cenla, e lecanris, id elt, chordae cenla;r. 8. Supposica chor- anoulo, differentia; e ne cantim cum geometris agam, hoc Paret experientia; nam chorda renta, qua modica ri a litu recto parum anonetur, re longius amouearue da AC, cendaTuE in ADC, tum in AEC, difficulcas qua cendieur in AFC, est ad illam, qua cendicur in ADC, VE EFL, ad DO: VE pateE ex dictis. PROP. CZX Dissicultas illa crescere potest uniformicer: Id est, remanenti prio- ri, noua aequalis accedere, ve di ctum est alias, de relocitaris aug- MenTO; Si enin rendatut A B, in AD, Cum in AE, cum, in AF; disfi - Fig. 4. culeas qua FetinebAEUE in AD, FOTa FemaneE quando eradUCIEUE In AF, dE in AF; Ced nONuM Crementum accedic: Tlinc crelcie distcultas, re crescir centionis excettus, qui CIIM VnIFOTIMIECE CTCLCAE, (I eXETC mitas B, eodem semper adducatur InOtU; SI verO addUCaLIE peF FaN Sentem BF, non crelcierniformi ter; minus enim inirio crescie, sci- licet iuxta B; Si camen aucto rni- Formiter nilu adducatur, vnifor- miter etiam adducetur, isitur vni- Formiter difficultas illa crelcere porest: ratio a priori Facilis est, cum enim chorda AB, centa in AD, SC SC FCSIEHeRE NIFaTUE in AC, Per illud ipsum relistie, ne vlce- rius cendatur in AF; ae reliRiE etiam ne cendatur in AF, MON FaI- lonse maior ris adhibenda ecti cum propres praeuium censionem. si