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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. 753

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: 0.88.

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

The machine reads it as

  1. PFOB.XVII. DeCalcuto Centri Cravitatis
  2. relpelo f45- 5as. Moeu relvectu la
  3. 25R V se
  4. helpectu bb, - a a + v se 4 2a v; distatictau ric. 169.
  5. Centri sravilacio ab
  6. 2uR - a
  7. Adeoque determinarimus, corius Fieura Sinnum Vertorum, Arcuum-
  8. re, ejusque partium expositarum magnicudines, et momenta re(pe-
  9. etu rectarum aliguot expolitarum, corumque Centrorum grarit
  10. eis ab illis rectis distantias; adeoque e ipla Centra graritatis, per
  11. corundem à duabus faltem in eodem plano non parallelis rectis di-
  12. Stantias, determinarimus.
  13. Atque hinc Ongularum, et Solidorum convertione factorum, horumre RL. L. R.
  14. Semilolidorum, momentis jam eraditis correspondentium, magnitu-
  15. dinestrabentur. FTorumque omnium rationes, ad his correlpon-
  16. dentia Semicirculum ejutre porriones spectantia. Ouxe et ad alia
  17. Facile poterunt ampliari.
  18. P A RS SE CV N D A.
  19. Acque his Analosa, in Fixura Sinuum Rectorum aru, similiter determi. Fis. 170.
  20. tanEuE. NempC,
  21. Bilinei arn, Masnicudo, 2R2; Momentum respectu a dR P; distan-
  22. tia Centri sraritatis d 7a, 16P; dFF vel A a 2P; momentum re
  23. SDectu FT, vel A a, =R2 Y
  24. M.
  25. Trilineiasu; Magnitudo, R2; Momentum respectu Za, is R2 Z; distan- N. O.
  26. tia Ceneri Gravitatis a 7 a, 1 P: Momentum respectu Aa R3; rCIBC. P. O.
  27. CtuSn = R2 P = R3; distancia CenEri grarItaLIS ab A a, RG aS n, +∞ = R.
  28. Portionis a Bo, Magnicudo vX: Momentum respectu ro, e R2 + 4 50 R; O. O.
  29. distancia Ceneri Gravicaris a ra F: Momencum respectu Aa, P O
  30. =e R + av R; respectu Bo, e R; distantia Cencri gravicaris ab Aa,
  31. =e R + 22
  32. Adeoque determinarimus, totius Fisurx Sintium Rectorum, ejusque R.
  33. parcium expositarum, magnicudines, ee momenta respectu rectarum
  34. aliquot expolitarum; corumque Centrorum graritatis distantias it
  35. illis rectis: Adeoque e ipsa graritatis Centra, per luas a duabus
  36. Caltem in eodem plano rectis non sibi mutuo parallelis distantias,
  37. determinarimus.
  38. Atque hinc de Ongulis; Soliditre conversione factis, corumre Semi-
  39. Colidis, aliisque qua hinc dependent, calculo debite achibito, judi-
  40. cium Ret.
  41. Ouxque de portionibus hic expositis dicta sune, postunt et aliis por-
  42. tionibus tacile accommodari; aliasre multis modis ampliari.
  43. Fademque (horum opC) ad auF figura Sinuum rectorum unius qua-
  44. drantis Complementum, facile transterentur.
  45. Ouae autem de his sinuum Vertorum, Rectorumre, Pisiris HictL nC; S.
  46. ad ealdem Procractas, vel Contractas, facise accommodantur.
  47. Ouaeque de Digura Sintum Rectorum uniys quadrancis praduntur, eas
  48. dem ad sieuram Subtenlarum lire Chordarum demicirculi, similicer
  49. cransterencur. Ouod e de Solidis inde oriundiseriam incellisendum
  50. exit.
  51. CCCC
  52. Intet
  53. 5
  54. b
  55. 2ek +

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. 753. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/851387705:0773?run=74