# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/85138403X:0020 # Permalink to this reading: https://leibnizlegible.com/page/85138403X:0020?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 4, page id 85138403X:0020 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=85138403X&page=20 # Source image: https://digitale-sammlungen.gwlb.de/content/85138403X/jpgs/default/00000020.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 44 lines, status machine # Lines: 44 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. e lbL lindrice excavaco convertione plani Z. Y C sirCA reCtaM A F FA e0. Sin adhuc secerur plano Zu n baliparallelo, sCGmenEUM ~ZVn. xequabitu solido ex convertione plani Z Y C. circa recia Z Y Facto. Nam ex hic eodem modo octendetur, criangu- tum on 8 aequale circuloradiiv n; & de reliquis similirer. 9. Similiter, s Euper semicrcloide A F C H9. 4. etigaCuE Prisma, sive Cplindri recti quadrans, alcicudinem habens A V, quae sIC ad A F, uE 4 A F ad P C; (nempe uc circuli Perimerer 2d Radium;) sCCetUF aurem planO F CV: SolidOF V CZ A aequacur Colidum ex convertione plani F C Z A circa rectam FC; e segmenta segmenris respectire sumptis; puta seementum TZ Y C seomento conrertione plani Z. C Y Facto. Nam ec hic triangulum F A V, aequatur circulo cadii F A; criangulum Y Z i circulo radii YZ: EE Sc ubique. 20. Aeque hactenus quidem utut rum planorum cum solido- rum omnium expolicorum dimentionem aliquacenus hac methodo cradidisse videamur: Cum camen de Gravicaris Ceneris nihil hinc constet, libet in sequencibus, FeTUMPEO ICETUM COLOnegO. tio, rem aliter expedire, hoc modo. IF. UF supea ostendimus rectam 2 Y Ag. L. aequalem arcui 2 C: Ita ostendeeur, angulum Z E A, hoc elt ZF A, arCUI Z C sive Z F, hoc est rectae AG, proportionalem esse: (nempe, uE ar- cus F Z, hoc est A C recta, ad arcum F Z C, hoc est rectam A F, sc esse angulum Z E A vel ZF A, ad C F A rectum:) prOPECE angulum ZC F anguli Z F A ubique duplum, ee propterea ucrum- 9i arcui P Z ubique proporcionalem. 12. Adeoque, dirisa recta a I in parces quortibet aequales, in punctis a, pes B, E, _C. ductisque rectis n L, i M, B B, EZ, _C. puncto concactus ad punctum lineans, (quibus parallela exi- Hune in circulo F I, F M, FB, F Z, _C.) anguli L a A, M LA, BBA, ZE A, _C. Tun Arichmerice proportionales; quorum continvus excessus primo aequalis cs, nempe angulo L a A. 23. Ductisicaque cum in C veloide rectis à L, u M, BB, GZ, _c. tum ipsis respondentibus in circulo F L, F M, F b, FZ, ec. dictribuentur Semierclois _ Semicirculus in segmenta numero aequalia; singula singulis (respectire) correspondentia. 24. Ductis item in Creloide, d punctis v. B, _c. rectis , 88, B∞, eC. quxe paralIeI sInE rectiS SL, BB, _ M, &C. Crum Solidu ands F18. 4 qoeutum 18. 2.