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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. 715

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: 0.83.

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

The machine reads it as

  1. ed
  2. PFOD. X. V De Calculo Centri Cravitalis.
  3. lingulis in correspomlentis Ongula luperticie curra respectiris rectis, aequales
  4. atque in eadem d convertionis Axe Diltancia, qua sunc illa a Parallelo Plano per
  5. aciem (uam.) Sd, propter curraturam convertione factam; minuenda elt ea Di-
  6. Etancia, pro Racione quam hahet Convertionis Areus ad Chordam Cuam; uc jan
  7. oltentum est. Puta; in Semiconversione, ut Semiperipheria EP, ad Diametrum
  8. 2 R; in conrextione Ouadrantali, ut = P ad se V 2: FI universaliter, ut ArCUS
  9. vel m, ad Chordam luam c vel n; lic distantia in Onsula (jam oltenta)
  10. =,2d vel diltanciam Cenuri gravicaris Zonae impertecta, a conversio.
  11. nis AXC.
  12. Sed _ in AUOTUI PLaNOTUM, PrIUS MCMOTATOTUM, Communi lectIOne reperIrI
  13. Tuvra oltentum elt: Freo, in hujus lectionis eo Puncto quae sic (ue dutum ett)
  14. diltat. Dacur isicde, cum in Ongula, cum in Lona ucur impertecta, iplum Ca.
  15. vicatis Ccnrum. Quoc erat ultimo otlendendum.
  16. L AOP. XV.
  17. Sectoris Circuli (duobus Radiis eC ArC COmPTCHENSI) Centrum BTa- A.
  18. ricatis est in Axis suiillo puncto, cujus a Centro Circuli distantia, Fig
  19. eA ad duos Frientes Radii, ut expolici Arcus Chorda, ad ArcuM 158.
  20. Tuum.
  21. Adeoque, in semicirculo; OE Semiperipheria ad Diametrum, sic 3
  22. Radii ad distantiam Centri gxaritatis semicirculi a Circuli Cenero.
  23. Atque hinc etiam Seementi circularis (recta absciMi) Centrum grari-
  24. catis colligitur: Atque de aliis Porrionibus similiter. Cxteraque
  25. quae hinc dependent.
  26. B.
  27. Nempe; Si ponatUE, in exposito circulo, Radius C A vel CB = R; C.
  28. Peripheria integra, P; ArCUS BA = a, adleoque B AB = 2a; CHOF- F1B. 159,
  29. da BA = c; Sinus rectus BV = 5, adeoque Chorda BB = 25s: Si. 160.
  30. nuS VeRTUS A V = v5 xeliguusque V a = 2 R = V = B; 2 CCHErO DI
  31. Rancia VC = ~ = R = V s V EE supra CenEruM, velV C = ∞ = ~ = R
  32. S intra, vel VC = ~ = 0 li in CeNErO: IECM a - 5 = e; a + 5 = f:
  33. R + V == 2
  34. Fric corius Semicireali A Do, Magnicudo, : X P: Cenerique gravitatis, D.
  35. sive ar an sive a Y A. distantia, R; momencum respectur a, vel T A.
  36. 1.
  37. P. P. Distancia Cencri Cravicaris ab A : momentum respe. O.
  38. Au A a, Z R3
  39. Sectoris BC A maxnicudo La R: Centri cravicatis distancia a DC, D.
  40. A; ara _ + R; a FA, R - == R; momenum cjus, relpectu
  41. ra, La X2 =s R; momentum ejuldem respectu Y A, La R - 2 5 R2:
  42. Ceneri pravicatis distancia ab A
  43. JVR2
  44. s
  45. =: momentum respectu Aa, O. W.
  46. Trianguli BC. V, magniendo : Sr: Distancia Ceneri pravitatis a DC, 3 ~; F.
  47. a 7 an R =3 X = Z R = ZV; a TA, R + 3 4 = 3R + ZV; MOmenTIM FCsBC.
  48. Au 2oy 3 5 X R L 1 5~
  49. LSX; resPeCtU FA, 35 XR F5 5X2
  50. R.
  51. x: Diltantia Ceneri Gravitatis ab Aa J S; MOIENEUM R. Y.
  52. respectu A a, 3 52 V
  53. Semitcementi B V a, masnieudo ie P + : SV: Momencum respectu ran F.
  54. X X X d 2
  55. ZCR2

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. 715. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/851387705:0735?run=74