# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/851387705:0689 # Permalink to this reading: https://leibnizlegible.com/page/851387705:0689?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 669, page id 851387705:0689 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=851387705&page=689 # Source image: https://digitale-sammlungen.gwlb.de/content/851387705/jpgs/default/00000689.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 46 lines, status machine # Lines: 46 recognised, mean confidence 0.84 # 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. OMMII PrOB. II. De Calculo Centri Cravitatis. Superticiei Cylindrica rel Prismaticae, aut quae horum instar LUME; Centrum Graritatis, c in media loncitudine. Nempe; Linea Rectae, in Puncto medio: Parallelogrammis in me- dia Recta oppolitis basibus parallela: Parallelepipedi, Prismatis, aut esindri, vel Superticiei Cxlindrica vel Prismarica; in medio Plano, oppolitis basibus Parallelo. 2 l. Adeoque: Parallelosrammi, in ejusmodi binarum Rectarum concurtu: C. Parallelepipedi, in ejulmodi erium Planorum concurtu. Datur isicur Puncti, Linea rectae, Ouadrati aut cujusris Parallelo. sranimi, Cubi aue Parallelepipedi cujulris, horumre solidorum cu. jutris Superticiei, Contrum Graricatis. Adeoque e Punctorum quotlibet, positione datorum, commune Cen- trum oxaritatis datur. Item, Rectarum quotliber, magnicudine et positione datarum. Imo, et linearum quarumlibet, magnitudine e politione datarum, quarum singularum Centra gravitatis dantur, datur commune Centrum Craritatis. Ope Prop. UIE. C ap. 4. Fit similiter, quotlibet Ouadratorum vel Parallelogrammorum quo- rumlibet; icem, quodlibet Cuborum, rel quorumris Parallelexipe D F. dorum; aut superticierum horum; (magnitudine e positione da TI, EOTUM;) datur commune centrum Graritatis. ODC ejuIdem PFOD. TFT, Linex Rectae Parallelosrammi, Parallelexipedi, Pritmatis, Cxlindri, 8 a ult. Cap. 4. t Fig. 12 08. 109; 6 aeguali incervallo ab invicem distiris, poliuilque i litu ad horizontem rectis; in Teomenta invicem aequalia (plura an pauciora, numero tinica an infinica,) diridi: Manisestum ostu (ex (3 Cap. 3. vel 4 Cap. 4.) Propter segmenta quoribet ex una Parte, tocidem ex altera, A. qualia magnimame, (decoque d Condere, mus urique aequabiliter graria:) e in Distantiis respectire aequalibus polla, A quiponderare linonta sinoulis respectire lumpris; adeoque omnibus oma limul Tumpra. Adeoque, quod per C tranSic, eAt A. GULIMLI Les penaM, vet LCpE diculare Planum; (per detiniriones Cata; Det 13 enim intelligatur Linea Recta, Parallelogrammum, Prisma, Cylindrus, que A. D quod horum instar est aliud; urirsguie a medio Ci; Rectis Planitre parallelis, Adéoque; (per 26 Cap. 4.) in Linea Recta, hinc determinacur ipsum Bunctum; B.