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[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, fol. 726

Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German. Mean line confidence on this page: 0.90.

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The machine reads it as

  1. De Calculo Centri Oravitatis.
  2. CapY.
  3. Fis. ab A ae distanciis, similiter elicieneur acque priys. Ve non sic opus eildem ulteri.
  4. 263. Usimmorari.
  5. Ac incerim haud eric incommodum hic loci monuiste; eadem eriam me-
  6. chodo Friangulorum BCV, B a V, B Ca, momenra respectu iptius Aa, haberi
  7. Dolle.
  8. Cum enim lingularum B V rectaruim, (seu huic pacallelarum) Friangulum BCV
  9. complencium, momenta respectu Aa; seu Priangula eildem insistencia, semigua-
  10. drancalem Dnoulam (aciem habenrem Aa) complencia; sinc carundem BV, ecc
  11. Semiguadrata: Oux quidem Semiquadrata, Pyramidem complene cujus Balis est
  12. EBV 9 = 252, alciudo, CV = x; Pric ipla PyramiS (per 6 hujusi) HToc est
  13. momentum illud, seu lemiquadrancalis uneula B Y C, acietm haberis Aa, L 57 X L N =
  14. 5S=N. UC priuS SR.
  15. Tiem, (pari de cauta,) Momencum Frianeuli Ba V, leu huie insistens Semi-
  16. quadrantalis Ongula aciem habens Aa; Pyramis erie, cujus Batis ; BV 9 = 352, al-
  17. ticudo V == h; adeoque ipla Pyramis (hoc eM, Momenrum illud, seu lemiqua
  18. drantalis Vngula,) Z5= XZB = 65 = h. OE prius SE
  19. Estque Frrangulum BCa; idem acque B V a dempio dddicove (prouc supra in-
  20. frave Cenirum C, sic V punctum,) BCV: Adeoque (respectu iptius. Aa) mo-
  21. mencum Priansuli BCa; idem acque momentum B N, a dempro, additove, mo-
  22. menco BCV: Adcoque Frianguli B Ca momencum (respectu iplius A a) leu SC
  23. miquadrantalis Onsula eidem intiltens aeiem habens Aa; CA 6sE B + 65 E N. HOC
  24. clt, ( prOPtex B = 2 R - V; e lupra Centrum, x= P v; auterendum; intra
  25. vero, v = = R + v addendum; adeo que b F v = R;) 55R. OI priuS, 55.
  26. Eadem ilem ostendenEIE ex PTOV. LF2. Arictim. EnFin.
  27. Cum enim illic oltendatur, Rectas in semiparabola, Biametro, vel Axi paralle.
  28. 154. las, cliC ut Seriem A. qualium serie Secundanorum Muletaram; (Tunc enim Omnes
  29. Vs, parallelogrammum AC as complentes, series Aqualium; omnelque Bs
  30. complentes Semiparabola complementum AA S, series Secundanorum; FrgO, omnes
  31. reliduae V B, Parabola diameiro Ca parallela, sune series A qualium muletata le
  32. sic Sccundanorum:) Eloc elt, DEquadrata ordinatim applicararum in Cireuli qua-
  33. drante; ut modo oltentum elt.
  34. Si ipituru super eadem A a recta, (ut communi Base,) deseribatur nim AD a
  35. Semicireutus, cum ADa Parabola recta (cujus Axis C a aequalis sit ip(IC D cir-
  36. culi Radio:) Fc ordinatim applicata in Semicirculo qualibet BV producta, oc
  37. currat Parabolae in B: Frunt omnes V B Recta, omnibus Ouadraris V. B respectire
  38. lumpris proportionales.
  39. Adeoque ductis omnibus VB rectis, (sire coram Parabolam, sive iptius segmen-
  40. cum ut A V B complentibus,) in communem aleicudinem R = C A = CD: Frune
  41. omnia V B in R parallelosramma (Prisma, Parabolae, ejutre porcioni, insiltens
  42. complencia,) aequalia omnibus V B quadratis (et tingula singulis respective sump.
  43. cis;) Hoc est ( per ance demonstrata) Duxlo momenti Semicirculi ejutre cur
  44. insistunt porcioni, respectu rectae Aa; seu, Duplo semiguadrancalis Ongula COr-
  45. respondentis, aciem habentis A a. (Sune enim HXC ParAIICIOSTAIMA, PFOBEEK
  46. communem alcicudinem R, iptis quibus insistunt Rectis V B, proportionalia; adeo-
  47. que, per jam oltenta, provortionalia ipsis V B quadratis: Sed e prOPter CD =
  48. C. A = R, Parallelogrammum, C. A in R, aequatur ipsI C. D quadratO: FrGO et re
  49. liqua reliquis respectire.) Fademque, V B in Z R, (urpore illorum dimidia,) ipsi
  50. Momenco plani A B Y respectu ipsius Aa; vel semiquadramali Duxula correl.
  51. pondenti aquantur.
  52. Siigimr, Paralletogrammo A V S P; auteratue A BS S vet AA B5S (hoc est
  53. Semiparabolae Complementum AA S dempeo acdicore ABS, prour supra intrave
  54. cencrum tucric V punctum;) habetur P’arabolae texmencum AVB = AV s =
  55. A AS F BAS.
  56. Est aurem (PrOprer AV = v, ee Y S = R) Parallelogrammum AVSS = ~ R.
  57. Icem; (propier Semiparabolae Complemencum, subcriplum circumleripii Paral.
  58. lelocrammi, PeF PrOP. 23. Arithm. Infin. vel proP. L. hujus; rectamque AC =
  59. C a = R;) demiparaboae complemencum A AS = hA.
  60. ri
  61. Trem;

Cite

[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, fol. 726. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/851387705:0746?run=74