# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/851387705:0867 # Permalink to this reading: https://leibnizlegible.com/page/851387705:0867?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 847, page id 851387705:0867 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=851387705&page=867 # Source image: https://digitale-sammlungen.gwlb.de/content/851387705/jpgs/default/00000867.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 53 lines, status machine # Lines: 53 recognised, mean confidence 0.83 # 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. 15 X. + 37. Re +36 Lo uber exacum Omn. dem duptum, nempe aC2 =33 R3 4757 R 19 X et deslexatum Omnium P rectam A BFs. 282, curramque A b Fg. 177. spectanium. Insuper Omnes s (sumpris c arictimetice proporcionalibus,) sunc idem acque omnes bo Hi5. 282. seu dupium Omnium 5 = 70 tis. 183. (ut S Cc. Octentum est.) Sea Omn. 5 (= Omn. 20) sunc Omn. V: 4 R2 =c seu Omn. 27. Adeo. que Omm. 55, (seu iptius AaV, vel A7V, momentum respectu AG, vel COF respondens Ongula) sunc, Omn. C V: 4 R2 - c 2R :(Idem acque Ungula A990 vel A Q97, aciem habentis AO, momentum respectu AO, per 2 R diritum:) EF Omn. SC; (hoc est, momencum Ongula Aav, vel A70, AB. 183. aciem tia- benis AO, respectu ejuldem AO,) fnE Omn. E. Ec provaltu Mt et tdit ste 4 oticab 4a Teu Omn: d03 Letu DeCalculo Centri Cravitatis. 34 PTOP. XXII. eo spectancium. Ft C Prop. FiE. 177 cex AF A8. 282. figura alcicudinem, duplam alcicudinis A a A8. 183.) eju (. 183. 4 seu Omn. Sunt autem mgnes V: 4 R = c: leu Omnes X: (sumpris e arichimetice prO. FIB. 283, porcionalibus,) ligullatu agitates rectis rg, complentibus quacrantem A aO 184 fig. 183. (per SG.) Ouibus aequales incellisantur rectae r9 quadrantem Aa C fis. 284. limilicer complentes. Cui adjacere incelligatur semiparabolocidis Cubi- calis complementum, APa, quadrato AaPD inscriptum; verricem habens A. Cujus icaque Parabolocideos Latus rectum erit 4 R (quod utique in diametttim AD = 2R, ductum, clliciat 8 R. Cubum ordinatim in Paraboloeide applicara OP = 2 R;) per quod itaque 4 R, S diridatur recta DP = A∞ = 2 R, cubus 8 R3; habebicur Diametex in Parabolocide, rel Ordinacim in Complemenro axpli. catas AD = aP- R3 = 2. P: Ee similices, Si per idem + R3, diridatur, recta ed = A3 = c, Cubus e; habebicur diameter in Pacabolocidle, vel ordinacim ap. plieaca, in complemenio, Ad = rP = P e lic ubique (Sune urique Ordi- nacim. applicatae in semiparabolocidis hujus complemento, in diametrorum inter. ceptarum complemenii ratione criplicata, teu uc carum Cubi.) Cum itaque qux quacrantem AaO A8. 184. complent rectae r 4 Cnt ipla X = V: 4 R2 - 62: quaeque semipasabolocideos Cubicalis complemencum A a P, complene recta rP, sinc ipsae ; quae ex his fiune rectaveuta sune ipsa CV: 4 R - c2: + se3 4 L