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. 766

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: 0.82.

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The machine reads it as

  1. CapV.
  2. Fig. 170 expantam, coneruere Bilineo r S. an Fig, +70. quam Figuram Sinuum Rectorum
  3. 272.
  4. curram in luxerticie Crlindei, expansa in planitiem Cuperfieie Curra, CurVX X n a
  5. tiguram Sinuum rectorum terminanci congruere; et parces parribus respectire
  6. Tumpris. Oux pridem monuimus ad prop. 13.
  7. De Calcun eit tadaus.
  8. diximus. Ouippe urrobique ostendetur B0, ipsi BV. linui recto corresponden-
  9. tis arcus AB, hoc est r B, aequalis: _ Sic ubique. Adeoque _ rna semieslipsis
  10. P R OP. XVEII.
  11. 6 l L
  12. Si super, AF a Lisura Sinuum rertorum, Arcuumre, Solidum insistat
  13. alcitudinem habens in lingulis bB Sinibus versis, aequalem respecti
  14. vis B0 Sinibus rectis corundem arcuum: Solidum sc constructum,
  15. Friplum eric Semiguadrantalis Ongula semicirculi, aciem haben-
  16. tis Semicirculi Diametrum. FF Partes partium respectire.
  17. Onde; Solidi sic constructi, partiumque ejusdem, cum Magnicudines,
  18. cum Momenta, e Contragraritatis, innocescent.
  19. Nempe, (retentis Srmbolis, ut in proposicionibus aliquot praeceden.
  20. tibus:)
  21. A. C. Solidi Ara, sic constructi; Magnicudo, 2 Pe.: Distantia Ceneri sravi.
  22. caris a plano Ara, is P; momentum correspondens respectur a in pla-
  23. D0 Ara erecto, s R P: Diltantia Ceneri praritaris à planO rqU, 3R;
  24. momentum respectu ra in plano ran crecto, 3 Ra: Diltantia Centri
  25. craritatis a plano super A a crecto, ioP; momentum relpectu Aa
  26. 8A38
  27. A. C. Porrionis, ejuldem Solidi, AbBC; Magnitudo, v R2. F 3 5 R: Momentum
  28. A.
  29. resrectu ra in crecto plano Ara, +0 R3 + 25V R 2 + 553 R; distantia
  30. Contri pravicatis ab illo plano, 3C R2 + 3 su. R f 25i
  31. 12V R F 5 52
  32. Nomencum
  33. retrectu ra in erecto planoran, 3 v R + 3S R = 3s. v R; distantia
  34. Ceneri pravicatis d plano tan, 42 F 45 R = 5V
  35. 6vR +35; Momencum re-
  36. spectu Aa = Z CR3 + a V R2 = 2 sV R2 = has P; diltavcia Ceneri era-
  37. vitatis ab A - 5 e R + 4 av R - suR + 2 a s
  38. 4V R F 25
  39. Portionis, ejusdem Solidi, bBr; Masniendo, 2R = v R - 3 s2 X
  40. BR2 = ZsR = : B. R. Momentum respectu plani ara crecti,
  41. R P = = C R. - 1 5VR2 = 5s R; relpectu plani + an erecti, 3 Aa
  42. 3VR -
  43. a 5 v R
  44. 352R2 = 552VR; respectu Aa, 8 R P + 3CR = av R2
  45. a s R; distantia Ceneri gravitatis à plavo A ra,
  46. ZRF = 6CR - 65DR = 4
  47. 98 R 24 vR - 12 5i d planorani
  48. ab A a
  49. R. Z
  50. 8R3 - 4V = 4 s R + S2V
  51. 12R2 6vR = Z5
  52. + 20CX2 - 8 av R + 250R = 4a5
  53. 16R = 8vR = 4. 5
  54. A. T. Portionis ABK; Magnitudo, VR 2 = ZsR = Z V P: Momentum respectu
  55. plani Ara crecti, ZC R3 f+5VR2= 85 R; respectu plani ran erecti
  56. 3VR3 = 35 R + 55 vR = 3~ P2 + 5 5 VR; relDeCtU PA, 3V R3 - 3 s R
  57. Es vR = 62 R; relrectu A a = 3C R3 + av R + : 50 R2 = 3 a S R;
  58. distantia
  59. Fi
  60. c

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. 766. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/851387705:0786?run=74