# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/85138403X:0113 # Permalink to this reading: https://leibnizlegible.com/page/85138403X:0113?run=74 # Title: [Johannis Wallisii SS. Th. D. Geometriae Professoris Saviliani Oxoniae, Tractatus Duo] Johannis Wallisii SS. Th. D. Geometriæ Professoris Saviliani Oxoniæ, Tractatus Duo (shelfmark Leibn. Marg. 103) # Folio 97, page id 85138403X:0113 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=85138403X&page=113 # Source image: https://digitale-sammlungen.gwlb.de/content/85138403X/jpgs/default/00000113.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 43 lines, status machine # Lines: 43 recognised, mean confidence 0.88 # 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. FF HNaNOuOS. Hloc incerim addamus: Fadem opera haberi eriam convexam Supersicies Conoidis superticiem, convertione currx A e P. circa axim tuum Comtdis A a delcripeam. Cum enim rectae dc, db, iplis Fe rectarum diftereneiis, _ ec subrensis, hoc elt, (procellu in infinicum concinuato, currae parriculis, proportionales; acque in iildem sb A a diltantiie: L rie ut Polidum ex AcD parabola, ad foli- dum ex AED crunco, circa b A a converso Fietum: lic luperti- cies ex onnibus Fc in suis distantiis (quae est uc series a V a) sive (cres quinex) superticiei Cplindricae quae delcribitur recta DF. Choc est, ornibus fc in maximâ distancia, guxe ieique elt ur series Va:) ad Superkcien COnrexaM qux ab A CF curvisic converta describieur. LIt aurem solidorum eorum ratio (ex nostrx Rrich- meticae Infirirorum principiis) noca: (coenicis enim cum maeni- Fudinibus, rum monentis, adeoque e ceneris gravicatis, parabola- TUM ADC, V AB, VDB, adeoque ex trunci A b D, Tolido- rum conrertione Factorum magnicudo paricer innorelcet:) Lrgo ec harum superticierum. De iplius crilinei A C d moenicudine, aUC CeHEIO graVITaTIS, aut Colidis iltius convertione Factis, nihil adijicio: noca ucique sune ea omnia; ec ex principiis in noltra Intinicorum Arichmerica e alibi cradiris Facile deduCuneur. Sed ad Parabolam reverto; quam (uc dictum est) in memorato Curva Pa- Echolio prop. 38. Prich. Intin. Speciatim consideraviimus. Re- rabola. sumpra izitur guax ibidem est hsuras octendimus, proprer d d vel 05 (rectarum oc in parabolx complemento ordinatim opplicata rum differencias) uc 2, 3, 5, ec. Tubcen(as 0 0 ese uc V: A2 + 1: V: A. Y9. V: A + 25. Gc. hoc elt, ut ordin cim applicaras ad Arperbolae conjusium axim: ip(as aurem Os vel dd, uc oidi- nacim applicacas in Friansulo eAe, socius elt quam uE dictu OpuS SIC. Sin quaeratur adtuc, quaenum cuique parabole conveniane Tri angulum _ typerbolo: guarriqurm ea nullius difficuleatis res (IT; paucis cum expedigri. Incelligancur _L, L m, ad ansulos rectis constiturae; omnesque LM, LM, 19C. UC L. 3, 5, 7, c. difte- renciis d d vel os aequales, vel salcem proporcionale:s uc d l L. ip( EC vel A: Krun omnes R m, Subcentis 00limiliter aequales vel proporcionales; illis nempe lingulae quae cum ordinicim aD- plicatis do angulos Faciune respectiris m L L. anzulis aqualess Hoc 119. 25. L18, 26. F19. 27.