# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/851387705:0700 # Permalink to this reading: https://leibnizlegible.com/page/851387705:0700?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 680, page id 851387705:0700 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=851387705&page=700 # Source image: https://digitale-sammlungen.gwlb.de/content/851387705/jpgs/default/00000700.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 50 lines, status machine # Lines: 50 recognised, mean confidence 0.88 # 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 Calculo Centri Cravitatis. CaD. V. lerici directae; hic quancitarem finiram diridens, quocientem dabie Fnitum.) ter intinitam rerrieis lacicudinem;) Si tamen intelligatr, ex parte vercicis, vel cantillum cruncari plano basi parallelo; reliquum tisutae, magnicudinis erit F DItX. (Prie veique magnicudinis dara, alcitudo finita; led ee cruncatxe lacitudo vel amplicudo per jam ostensa; adeoquerora tigura, sire plana sit live Tolida, lic truncata, magniculdinis exit finitx.) Est aurem, a verrice ad basin tora, ad Parallelorrammum, vel solidum Prisina. lieum (sire lit Parallelepipedum, sire aliud Prisma, sive Cylindrus, vel iltiusmodi quodris Solidum, super quacunque bale, eandem ubique, per tocam alcicudinem. amplitudinem habens,) super aequali bale, aque alium; hoc clt, ad seriem tori- dem ulcimo aequalium, (per det. 2. Cap. 4. ) ut T, ad indicem seriei Onitate au- ctum; Per Fhujus. Adeoque, (propter Reciprocarum Serierum Indicem negatirum,) Ei Ludex, TL =+; exit = L = T. =O; adeoque ratio x, ad 0, Intinica. EF propterea (I series illa sic Reciproca primanorum, (quale es, complemencum typerbola Apollonia- na per prop. 95. Arcchm. Intin.) siguea eric magnicudiiio inturica. (Ovippe adt 2 eu ec. (ver B Cap. L.) ale, Lacio X ad - = finica; per 8 F. l. 5. ) L.SB, et Fixura (quae aet dacam, ilsam habeat racionem,) Dlusqua Intinita VETEICCI HnIa LaFILCIAO. (NAIM, GNAMHIBLHIEHRGEE HC AIC POR PLIHCILM LCLIMMIS finicam datatt, L alt .) Si velolndex sic minor quam = +, (Hoc est, magis negaurus,) Duca, = 23 3, ac. etram acdico L, mancB autiue nesatVIS; pura. 72d = 4, F ad = 2, _C., Nempe; ut Pot de Lesatrum; quae est plusquam intinita; (nam, F ad 0, est intinita; ergo, F ad minus quam o, elt major quam in- Sin Index major sic quam = +, (hoc elt, Hmus negativus,) puca, 3 ec. adcito L, Het. LOnrus, PIa eC. (DeT B CaP L.) Adeoque, rario L ad 2, X ad 3 Tad 3, Lad 3, L ad a, _C. tinita. PrsO, _ Pigura (uequa ad daram tinitam, h nicam habet rationem,) magnicudinistinix; utuc laticudinis in verrice, intinita. Dux aurem Magnicudinis lunc a, (au pusa ,) Cencrum gra- vicacis non habent. Ouippe, M ipla verricis recta, Ad, intelliseretur, (aut su- Dea verricem; auc etiam per Balm, aur intra Balin:) Pigura tota (respectu Plani basi paralleli per Centrum Lld transcuntis,) ad unas parres ponderaret; adeoque non esset Aquilibrium. Sin Mlta Perricem d Balin incelligatur; quantilacunque (per sac ostenta;) illud aurem ad verricem, Intinitum etH; (quippe, li a tO1O intinico, Linicum auteracur: reliquum exil CH. SECUS CHI, LIMLCUI L III- 10 adaum, Faceret intinicum:) Adeoque, Intinicum hoc ad retlicent ( Guauu lacunque distantia) Finiro illi ad balin, (in distancia quantacunque tinica,) Pla- Ponderabic: Adeoque non erit in illo pLaHO CCHCTUM CFaVIEaLIS. Nulquam ISITUE Eit a verrice diltancia; planum bali parallelum per hoc trantiens, Figuram diridet in sesmenta duo; quorum illud ad basin, Pinitum erir, atque in distancia tinita, St vero sint magnicudinis Finicae; pura, secuncum seriem cujus Index G = 5 major quam = L, (uc jam otentum est;) Ostendetur (ut in prop. praeced.) cocam Figuram, sire seriei summam, ette - -- - NP, (qua, nerape sic ad parallelo. erammum, ret solidum Pritmacicum, N P, ut X 2d = 5 f x;) ee summam mo. MEHCOTUM.