# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/851387705:0877 # Permalink to this reading: https://leibnizlegible.com/page/851387705:0877?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 857, page id 851387705:0877 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=851387705&page=877 # Source image: https://digitale-sammlungen.gwlb.de/content/851387705/jpgs/default/00000877.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 24 lines, status machine # Lines: 24 recognised, mean confidence 0.91 # 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. Prd. Z XII. DeCalculo Centri Ceravitatis. Cyoloides vero Secundarias quod atinet; Protractam scilicet de Contractam; (quarum illa quidem batin habet Majorem, FLac Minorem, quam est Peripheria FiS. 176 Circuli Generantis:) Disferunt quidem illae, a Primaria, in hoc potistimum: quoa eca bB (Ceris Semlesctoius, d Semicirculi Generantis circa Cyctoidis arem conltituti, let secla) nt respectiris Arcubus BI (in protracta,) sey BF (in contracta) non quidem Aquales, (uc, in primaria, b B rectae Arcubus BA, sed Proporrionales; (Majores quidem in Procracta, Minores in Contracta de ip ca urrobique ratione, quam haber Cycloidis illius rel Semiereloidis Batis, ad Peri pheriam vel Semiperipheriam Circuli generancis;) Aquales autem respectiris arcubus istius Circuli, cujus Peripheria rel Semiperipheriâ sic hujus Cycloidis vel Semiereloidis Basi xgualiS. Puta, recta BB (H3, 276.) sive quae Procractam 76Y sire qua Contractam r6F, spectat; aequalis recta b B, hoc est areui B A, circute ABa Genitoris primarix rb A; cujus utique Semiperipheria ABa, XquacuF SC mieyeloidis lux BasI Xa (adeoque ip(IS r17 2cy) seu promorioni Centri c C Sunc enim rectae bB, 6B, f8. 276. (Scu BB, Ba tig. 266.) mentura distancia centr. circuli Genitoris ab axe A a, dum respestira puncta b (in Cycloide primariaz.) lei e (in secundariis) motu circuli generantis designantur: (ut ex construc Patet.) Adeoque, dummodo aequales sint Z a, F1, r1 seu c C in omnibus cadem: aquales item erune bB, CB, upore aequalium exdem parres vel proportionales. Oux aurem Cycloides secundarias (76I procractam, vel ContraCtAM DBF,) in dalo quoris puncto s, concineuncscclar Eu, lic habentur. Semieicculo connori 24944 187. 188.