# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/85138403X:0029 # Permalink to this reading: https://leibnizlegible.com/page/85138403X:0029?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 13, page id 85138403X:0029 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=85138403X&page=29 # Source image: https://digitale-sammlungen.gwlb.de/content/85138403X/jpgs/default/00000029.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 40 lines, status machine # Lines: 40 recognised, mean confidence 0.89 # 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 OACLOTDE. K quae sit ad. EL. uE 7 ad 20 (quod quidem CCHETUM gravi- cacis eset E curracura fisurx demeretur; puca, E prolingulis remicirculis sive suxerticiebus semicylindricis circa axem AF incelliganeur cocidem linex rectae vel superticies planx plano C A F ad angulos rectos positxe arque ab eobilectx;) acque deinde in recta R x quae SE baSI A D perpendiculaTIS, CUMAEUE PTODTCE CURVATUITAM) uE C F ad F, A (hoc est, ut Diameter ad Semipecipheriam circuli,) sic n a ad n R, ( qua nempe ratione dividendus est axis semicirculi ue habeatur Pemiperi- Pheriae cenerum sravitacis:) Eric a cenerum gravicatis solidi ex. Semiconrertione Pcaperii V BV P circa rectam AV. 44. Cenerum aurem graricatis Colidi ex semiconvertione Tei- anguli, haberur, ( d rectae FZ puncto HI, quod jam incelliga- cur abscindere rectam LHI, quae sic ad FZ, uc 3 ad 4, (quod NEMpE CeHETUM SFaTICATIS CAeE (I dCMCTCEUF CUTVATUTA,) Per- Pendicularis Hn incelligatuE (PFOPEeE CUEraTOTam) ita dividi in ut modo divisius In in P. FLIEULIQVE D CeNFFUM GTAVILAEIS folidi ex semiconvertione Trianguli v FD circa rectam A F. Duamquam rerera perinde omnino est ad hoc negorium an ommino reperiantur puncta ∞, o, an cantum puncta HE, II: Nam eadem est diltantia, quantum ad rectam ~ F, punctorum I e 4, icem punctorum H ex p; e, Guancum ad recta A F, endem (al- cem distinciarum ratio, sire puncta I, F, sire P, 8, conside- FEHEUF.) 45. Cum igitur ratio distantiarum sive punCtorum X, II, Cive Ouamum D, D, a recta A F, SIC UE 20 4d 2, (ive 28 ad 30, vel 14 ad 25; distat ab et magnicudinum, uc 5 ad 2: Fric, quae ex his componitur, AF. TALIO MOIENEOEUI, ut 70 dd 30, Cive 7 dd 3. Duod cum ubique tac; eadem erir ex ratio momenei solidorum ex lemiconrertione craperiorum omnium ad omnium criangulorum (iC. converlo. rum momencum, hoc elt, momenti Colidi ex lemiconvertione se- micreloidis, ad momentum solidi ex semiconrertione semicie- culi, (circa rectam A F,) respectu rectae AF: Nempe uE 7 ad 3. Unde colligentur vuncta F, a, 8, ur supra. Nempe hiincel. ligatur C centrum grariraris folidi ex semiconvertione cisculi CirCa reCta A F, (quod punctum C dari suxpOnIMUS, vel, A exigacur, deinceps extribebimus 6 56;) _ Aac, uc 3 2d7, siC F C ad FF; ex deinde, ut 5 ad 3, sic FF ad F_; acque duca- EI