# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/851387705:0692 # Permalink to this reading: https://leibnizlegible.com/page/851387705:0692?run=74 # Title: [Johannis Wallis S. T. D. Geometriae Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica] Johannis Wallis S. T. D. Geometriæ Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica (shelfmarks Leibn. Marg. 100:1/2, Stück 1; Leibn. Marg. 100:1/2) # Folio 672, page id 851387705:0692 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=851387705&page=692 # Source image: https://digitale-sammlungen.gwlb.de/content/851387705/jpgs/default/00000692.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 50 lines, status machine # Lines: 50 recognised, mean confidence 0.86 # 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. De Calculo Centri Cravitatis.Ca p. V. in Puncto unico concurrencibus,) ut circuli, EIlipscos, Parallelo- exammis Plani Solidire regularis, Parallelepipedi, SptiXrX, SphX rocideos; Cencrum Craricaris hinc determinabicur. mo ne, ec sD, 1D, dc tDP + ms DP. LnDC, c Tam, s Pondera Ponderibus respectivis sint A qualia, (puta, uxinque IP. m F, nP, _c.) e in Diltantiis respectire aequalibus, (puta rD, SD, FD, ec utrihique,) erutie ucrinque aequalia Momenta ErDP L in sDP + nFDP, ec. Adeoque, Centrum Graricaris in diridente Plano. per L5 C ap. 4. Et quidem, ubi sune hujusmodi plura Plana, quorum communis sectio sit Pun- ctum unicum; iptum Centrum Graritaris dererminatur. Per 26 C ap. 4 Ouodaurem haec enumeratis Lineis et Figuris (et harum similibus) conreni- ant: Fx earum Detinicionibus manifestum el, aur inde tacile demonttrabicur. SC +7OLZOM TOcandum tamen; de Curris Parabolicis, Hyperbolieis, FHlipricis, (quod et de d harum limilibus intelligendums) diserre dictum este, Axe producto bisccan- 495; Cnon, quavis diametro:) Nam, nili Punctum bilectionis, lc in AXis vertice Bilecta linea non eric ucrinque similiter curra. AC in Parabola, Hyperbolx, aue Ellipseos, Porrionibus Planis, (recta abseissis; quippe de his incelligendum:) oux- vis Diamerer basin coramque aream bilecans, rem praestat Dimi aurem has Linearum aut Figurarum species enumerarimus; alias tamen in. numeras reperiri cercum cst; De quibus Demonstratio non minus procedic; sunE. que sub propolirione generali comprehensx. Nobis incerim famoliores aliquot enumerasse lutticie. Ponderum, quae ex eadem parre Punt, quantacunque inxequalitas, aue quantacun- que rarieras distantiarum, demonstrarioni non ollicit: dummodo in comparandis quae utrinque Tunt, si aequalicas. Sed et, in prop. sequente, major adhuc erit va- riandi licentia. 1P PRC Iem; Si Finea vel Figura quaevis (plana, curra, Colica,) ila Plane diridatur; ut snscla us senenet pallicuta, lingulis alterius re sectire cumtous alulee. Centrum Craricaris est in Plano diridente. MP. n nomodemotdmode nide. DOra; Si CX Una parTC POndera IP, mP, ne, sine in distanciis rD, SD, LD: ex altera vero, Ponderar P, SP, LP, in diltantiis VD, m D, n D: Vccunque (propter Pondera diltantiis reciproce proporrionalia) comparara comparandis respective aequiponderabune. Adeoque, cum lingula singulis respectire tumpris aeguiponde- renC; etiam omnia omnibus aequiponderabunt: (per I2 Pl. 5. ) Erirque Proprerca Cencrum Craricatio in Disidence P1an0. Per 15 Cap. 4. rsor etui se se Sersesitiee ilient isust ciaul