Leibniz Legible

Machine transcription of the Leibniz Nachlass

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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. 815

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: 0.85.

Original at the GWLB · Page image · Annotations (IIIF) · Download text

The machine reads it as

  1. C
  2. PFODXX. De Calculo Centri Cravitatis.
  3. dem in ea ratione Majores Minorclre, qua recta r a major est vel minor quam
  4. EP, Genitoris Circuli Cui Semicircumterencia. Adeoque; quocies in calculum ve-
  5. niune rectae BB: pro a lubllicuenda erit quaneiras qua ad hane lic in ca racione
  6. qua cHt 7a, 4d 3 2. Ft Timilirer, mucaris mnicandis, in carundem GDuadracis, Cu-
  7. bis, reliquilque poicllacibus. Oc in pracectencibus aliguor propolucionibus mo.
  8. nicum fuic.
  9. =ROP. XXI.
  10. 2nouta Semiercloidi Ar a insictens deiem habens F a eAt Dupla sesqui- A.
  11. alteran correspondentis Ongulae semicirculo ADa insistentis; (cu Fis. 166.
  12. ut 5 ad 2.
  13. Ejusque Momentum respectu aciei suX, Cst. Duplum sesquitertium NO-
  14. menti Onsula respectirae Semicirculo ADa insistentis, candem
  15. aciem habentis, respectu aciei (uxe; Peu ut 7 ad 3.
  16. Idemque in respectiris portionibus obtinet: Puta Dneula Ouadrili-
  17. neo bBa A in Semiercloide insiltens, aciem habens ra, eAt Dupla
  18. sesquialtera respectirae Ongulae Sectori B a R insistentis; seu ut
  19. 52d 2.
  20. Ejusque Momentum est Duplum sesquiterrium momenti respectirae (p.
  21. sula insistentis Sectori B a A; respectu aciei suxe Fa; scu ut 7
  22. ad, 3.
  23. 1 25. A. Y
  24. Atque hinc eadem respectiro determinantur, tum quoact NOmenLa,
  25. e Centra graritatis, in Tnoulis semicreloidi, ejutre portionibus,
  26. insistentibus; atque in illis qua semicirculo, ejusque portionibus
  27. respectiris insictunt.
  28. .
  29. ce ete
  30. Treimpe Crecentis Symbolis ue in provosicionibus praecedentibus,)
  31. Semiguadrancalis Ongula, Semicreloidis ar an aciem habencis ra Mar-
  32. nicudo cA3R P; momentum respectu ra, 3b R3 P; relvectu Y A,
  33. 28R. P; distancia Ceurri sravitaris a ra, 3R; d P A, SR: Momentum
  34. respectu AC, 3 R2 . - G R2; diltancia Ceneri gravicaris ab A a, i P
  35. 128 R
  36. 45~
  37. Aciemque habentis T A; Masnitudo, 3R. P; momentum respectu Za,
  38. e R P; relvectu TA, 38 R. P; dittantia Ceneri BravicatiS 27a, 23R;
  39. B.
  40. 1I.
  41. B.
  42. a TA, E R: Momentum respectu AC, + R2 P 2 = 3, R; distantia C en. HI
  43. eri pravicatis ab A a; 1 P - e+
  44. 637
  45. Aciemque habencis Aa; Magnitudo, S RP2 -3 R3; iomentum respe. H.
  46. Aura, ER P = 5RC; respectu T A, R. P, -3 R; distantia Cen-
  47. Eri CravicatiS L Fa, DR= p- 6G i d FA, 8R. + 32 43
  48. 9P2 -64 R: MOMentuI M.
  49. respectu Aa, is R P. = 2b P P; distancia Ceneri eravicatis ab A a,
  50. 35 R28
  51. 0P -64 R
  52. Onsula (Semiguadrantalem intellise) Portionis Semiereloidis BeaVA,
  53. aciem habentis ra Masnieudo, 3FR F i SB R; momentum respectu
  54. an 3 fR3 = 3sB R2 - 585 R; respectu L A, 2 f R3 - sB R + 265 R
  55. distantia

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. 815. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/851387705:0835?run=74