# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/851387705:0704 # Permalink to this reading: https://leibnizlegible.com/page/851387705:0704?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 684, page id 851387705:0704 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=851387705&page=704 # Source image: https://digitale-sammlungen.gwlb.de/content/851387705/jpgs/default/00000704.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 62 lines, status machine # Lines: 62 recognised, mean confidence 0.90 # 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. B. De Calculo Centri Cravitatis. Cap. V In Semi-parabolocide Cubieo; distat a Fangente Verricis, 3 alcituci- nis; a Diametro B Laticudinis; vel Z Semi latitudinis. In Semi parabolocide Biquadratico; distat à Tangente Verticis, ; AI- titudinis; a Diametro, 3 Latitudinis; rel, 3 Semi-latitudinis. In Semi- parabolocide Supertolidali; distat a Tangente Verticis, E AI titudinis; a Diametro, I Latitudinis; vel,? Semilaticudinis. Pt Ai militer in Semiparabolocidibus sequentibus, mutatis mutandis. In Semiparabola Complemento; Diltat a recta per Complementi rer- ticem (qua est parabolae Diameter,) 3 Alcicudinis; d Diametro Complementi, (quae est Parabola Pansens in verrice,) id Laciru dinis; vel3 Semi-laticudinis. In Complemento Semiparabolocidis Cubicalis; Distat a rertice Paral- lelorammi circum seripei (ret Parabolocidis Diametro) 5 Altitudi- nis; à Diametro (rel Parabolocidis Langente in rertice,) i Latitu- dinis; vel 3 Semi-laticudinis. In Complemento semiparabolocidis Biquacraticalis; distat à verticis rectam (basi parallela) E Alcicudinis; a Diametro ejusus id Lacicudi- nis, vel Z Semi-laticudinis. In Complemento semiparaboloeidis supersolidalis; distat à verticis recta; Alcicudinis; a Diametro, Lacicudinis; rel i Semilatitudi- nis. Tit in sequentibus similiter, mutatis mutandis. Fisura Reciproca dimidiatae, secundum seriem cujus Index non est major, (hoc est, non minus negatirus,) quam -- 5, constitutae; Cen- erum Cravitatis non habent. Sin major sic index quam Z; (e. quuntur serierum directarum leges. Nempe. Si Index SE --- 3; Contrum graritatis distat a vertice ABuTX, 3 AItitu- dinis; ab ejus Diametro, Z Latitudinis (seu Ba(eos) Inscripei Pa- ralleloorammi; vel Z Semi-latitudinis. Si Index sit -- 1; distat a Vertice, 3 Altitudinis; d Diametro, E L. ati- tudinis; rel 3 Semi-laticudinis. Si Index sic - 3: distat a Vertice, 3 Altitudinis; a Diametro 8 L acitu- dinis; vel Z Semi-latitudinis. Et sic deinceps. Si Index siC = Z; distat a Vertice, 8 Alticudinis; a Diametro, Z Lati- cudinis; vel ? Semi-lacicudinis. Si Index sit =-3; distat à Vertice, i Altitudinis; à DiamCtTO, S Faci- cudinis; vel 3 Semi-latitudinis. Si Index sic --- 3; distat a Vertice, E Altitudinis; a DiamCErO, Z L ati- cudinis; rel ESemilaticudinis. Et in reliquis similiter, mutatis mu- tandis, Ret ex calculo judicium. In Figuris Solidis, idem plane obtinet atque in Planis, secundum cal- dem series conttructis; nisi quod, Pro Semi. L atitudine in planIS, PO- nenda erit in Solidis (in illo plano quod per diametrum axemre, et Centrum graritatis Basis, incedit,) Distantia Centri gravitatis BaliS, a Diametro vel AXC; vel, pro Laticudine in illis, Dupla illa Distan- ria in lis. Atque, pro Duplo Indicis, Indicis Sesqui alterum. Puta; Si seriei Index Sit, 2, 37 2 5, etC. 2, 37 475, dc. 43 3, etC. eC. quiq in Planis (ut dictum cAt) extribet 8, 163 12 _C. 103 143 187 223 _C. 23 436, eC. 3, 2, 3, eC. Latitudinis; Yel 2,338, 2 eC. 3, 33 33727 etC. 2, 2, 33 _C. 2, 4, 2, _c. Semilatitudinis: Substituen- dum erit, in Liguris Solidis, 3, 3, 17, 13, _C. 8, 173 22, 17, _C. 3, 3, 3, eC. 2,8, 18, _C. Distantiae Ceneri praritatis BaliS, d Diametro vel AXC. Llabet aurem Centrum Craritatis Figura Solican si seriei Index Paltem atast tibus ECtaol an 3 Fie 132. 33 34 e