# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/826605435:0071 # Permalink to this reading: https://leibnizlegible.com/page/826605435:0071?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 (shelfmarks Leibn. Marg. 84:1, Stück 2; Leibn. Marg. 84:1) # Folio 51, page id 826605435:0071 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=826605435&page=71 # Source image: https://digitale-sammlungen.gwlb.de/content/826605435/jpgs/default/00000071.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 42 lines, status machine # Lines: 42 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. D CTCLOTDO mum dictancia, in 15P i 32D. 768 96 De magnicudinem ducta, dat Erel h D. P e D exposicae porcionis qua- dranci F YZ insistentis momencum, respectu rectae F A. Ouod 35 proponitur inguirendum. 40. HOCIBIEUE MOMENEUM, Cx , Z, D P momentO cOriuS POr- cionis semicplindri, ablacum, relinquie - 30 D P F L D=, POI- cionis relidux Z YoC C, quadrani 2 YC insestenris, momen- CUM. 4r. Deinde, Posthoc ablacum, resticuendum est quaneum criangulo quadranci F YZ inscripro (hoc elt, criangulo FG B tics. L.) intistie: Nempe Pyramis, basin habens YvCZ = = D alcicudinem F X = = D, quae in balim ducta dac =D, cujus eriens = D etprramidis magnicudo; acque haec in 3D, di- Ctantiam sui ceneri gravicatis a plano e F A, ducta, dac ex D pY camidis momentum respectu I A rectae: Quod quidem momen- cum, momento reliquae Parcis 250 D. D + = D addicum, dac a5o D. P + Da momencum iltius omnis quod sectori L b C tig. 2. InEltir, respectu rectae AF. 42. Coonito durem momento Porcionis sic secti prismatis Sectori C Lb insiltenris; COgnOICITUF CTIAM MOMeNEUM POE- cionis prismaris Ouadrilineo C FB BAg: L. insistentis, eodem plano secti, (respectu ejusdem AF recte:) Fs urique ad illud, uC7 ad 3 (Per 5 45:) Adeoque illius quod Ouinquitineo CBFBD Hg. X. hoc est Ouadrilineo C FB B fg. 7. (urpore quod ad idem momentum elt 4 ad 3;) nempe , 3= D. P + L D 43. Unde h auteratur momentum ictius quod Parallelogram- mo F B H∞. 7. inBstic, (hoc eA, prismaris basem habeneis cri- anoularem. semissem urique quadrari F B, adeoque =D =, alci- rudinem vero Bb = a P, cujus icaque magnicudo est , = D2 ∞ quae in Z F B = Z D distanciam ceneri gravicacis a plano rectae F A insistence ducta, dac 56 D P prisinaris momentum respectu F A recta;) manebic == D= P + a D momencum ictius omnis quod crilineo C BB insltic, respectu rectae AF. 44. Ouod aurem Frilineo huic jam insistie, (alcicudinem jam nactum in puncto b aequalem ipA F b = Z D, _ deinceps con tinue cresceMTeM,) Contac ex prismate super illa base, alcicudinis