# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/779782283:0170 # Permalink to this reading: https://leibnizlegible.com/page/779782283:0170?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 84, page id 779782283:0170 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=779782283&page=170 # Source image: https://digitale-sammlungen.gwlb.de/content/779782283/jpgs/default/00000170.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 90 lines, status machine # Lines: 90 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. PEZSTCA TRACTAEES I EEO, TEMPOLE AF, vet post decur- Crelcic rolocitS Ab exFreMO BMI Tum GFIIA, hinc etiam relocicas à Ao acquilica, in ea proportione, iin roca chorda acquisica Facilé habe- tur, recoque Ccilicet tempore, nemm- De acquilira tempore A P, es ve cuneus, cuius alcieudo sic ve lon- sicudo chorde, baLIS VeEO SIE FC- cangulum, aequale rrianculo PDO; acquisica vero tempore AF, eF Cu- neus, Tub cadem alcicudine, cuius balis sic rectanoutum, aequale Era- perio FOTMI, hoc camen dici non Pocest; quia re supractictum etc, cum lingula relocicaris momenta quae de nono accedune (INE VE Cx- CeltuS FeLdu2, CCxFe SI FIPDONALLIE, Ceomentum quodliber excellus, ab extremo puncto decurtum puca medium, seu subduplum, haud dubic cum scomentum reliduum excessus sic huic aequale, ac pro- inde lubduplum torius exceltus, omentum velocitaris accedens est lubduplum momenti, quod primum accetsie in principio mo- tuS; icaque accipiacur OHI qua eAt fubdupla AB, deberet Frustur seu Ceomencum pyramidis a IHO esse Cubduplum eorius pyramidis, cum tamen sic ad pyramidem ADC rc5. 2d 16. Sed haec clariis pace- bunc in Cemi parabola, nempe p2- rabola, quacenus dinidieur per li- neas parallelas axi, Hlemilphaerium per plana parallela bali, pyramis cuius balis sic rectangulum, per plana parallela cuixiam ex trian- i0. 75. Sulis, lune hgura, quas Hlomoge- neas rocare loleo. Leaque sit Pemi- parabola DAC, cuius axis AD, ap. plicata AC; sIE AD. Ciumma velo- ciras acquilira ab extremo puncto chordae in torali reductione; AC verd sic excessus, vel sparium, Cur- Bondcui imirium reductionis is C qua crescunt BC ee alix parallela AD; unde contecto spatio CB, ve locicas est BO y tempus etiam, quo decurrituE C A sIE VE D A, crit tempus, quo decurritIE C B, Ye BC; d quo decurritur BA, VE GFI, E aurem supponacur eadem chor- da, sed minus censa, SIC exCCTTUS. BC, BI. summa relocitas acquilita, e cum eodem rempore seducarui, SiC BFI aequalis AD, linc duae Pemi- Dacabola TC, EI C, decur(a: C M, acquisiuie relocitatem MO, tem- pore scilicer MK, e decur (d C B, acquiliuie relocicacem BI tempOrO: BIL, E aurem sic minor chorda, Ced aeque censa cuius excestus sIE CB, V. ∞. Cubdapla C A; SIc BL Cub- dupla D A. Sicque Cemiparabola IC ; eric BI velocicas acgnisita in reductione, ab exrrcimo puncto, idque cemporeBZ; ( vero accipiatur CM, exIE MO acquilica tempore MO; Si est enim aqualis cenlio, relocitaces, ab exEremO PUICTO 2C- quilicae, icem spatia ab codem de- curlas de rempora Cunt re excellus. hinc poluis excessibus aequalibus, chordae magis tensae minoris, et minus cenla maioris, cempora sunt ve chordae non cenlae; relocicaces. tamen ab exrremo puncto aequili- ex lune equales; sir enim chordos maior ad IinOrem VEC A ad CB, (I. lint aequetentae, excellus maioris eric ad excessum minoris veC A ad CB; fint autem excessus requales re CB, velocicas ab extremo veriul- que puncto acquilica erit ve BI. maioris quidem tempore BII, mi- voris veco rempore BI, hinc sciri Pocest daco quocumque cempore guaucum relocitatis et spacii ab C tt CAMC