Leibniz Legible

Machine transcription of the Leibniz Nachlass

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[Johannis Wallisii SS. Th. D. Geometriae Professoris Saviliani Oxoniae, Tractatus Duo] Johannis Wallisii SS. Th. D. Geometriæ Professoris Saviliani Oxoniæ, Tractatus Duo, fol. 21

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: 0.78.

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

The machine reads it as

  1. DE
  2. CCtL
  3. susdem Rgurx circa A F respectu rectxe C F, aEque CIFCA C F rC
  4. spectu rectae A F (proecer magnicudinum ex diltanciarum reci-
  5. Procarionem) cancundem erit. Adeoque hinc habetur rum di-
  6. luncia ceneri gravicatis semisolidi ex semicscloidis semiconver
  7. sione circa C L, a recta A li; cum inceori ilius solidi iptisi
  8. MuM GTAVICAEIS CenLIUM, urFore Guod in C F Lum eAle cOn.
  9. AaE.
  10. 65. Quancum aurem ad distontiam ceneri gravicatis ejuldem
  11. Semisolidi (ex semiconrertione Pemicycloidis circa C F) ab
  12. ip(a C F: Cmili methodo inveluisonda erir. Cum enim Coli-
  13. dum ex semiconrerlione Trianguli vF p circa C F, sic 299re02
  14. cum seriei 0by, Fb y, 4b y, 9b y, _C, usque ad BY, (VE luPFa S
  15. 62:) Et Colidum ex semiconvertione Traperii V Br P circa ean-
  16. dem C F Sic aopreontum seriei BZ + OZ +oB +00, BZ + b Z
  17. +yBFby, BZ F 2b2+ 2V B+ 4 by, BZ + 3 bZ + 3yB
  18. + 9by, ecc (uc Cupra 863.) Si veraque series ducacur in seriemt
  19. Puarum respectire distantiarum a recta C F; (nempe illa, in O,
  20. Y, 27, 37, ecusque ad Y; et haec, In Z +0, 2 + y, + 27,
  21. At 37 ecc ulque ad Z FY;) habebitur series momentorum eo-
  22. rundem solidorum respectu linex aequilibrii C F. Lnde et 19
  23. gresati ad aggreoatum ratio; hoc est, momenri cemisolidi ex
  24. Triangulo, ad monencum semisolidi ex Trapezio (circa C F
  25. converso) respectu rectae C F. Nempe
  26. Ob y y
  27. E
  28. ec usque ad
  29. B2Z +0bZ2 +0yBZ F ob yZ + 0y y BF 0b y y
  30. BZZ + TbZZ + 27BZ +2 byZF ryy B. + Tbyy.
  31. B2Z F2bZZ + 478Z +8b7 Z + 4y y BF 8byY.
  32. BZZ +3bZZ 4 67 B2F 18b y2 + 9y7B+276y7.
  33. +
  34. B.
  35. eec in insinitum ulque ad
  36. + 2TB2 + 2BYZ + Y7 B + BTT.
  37. Summa = ABYY ad SummaABZZ F 1, aBZZ + Z ATBZ + Z ABYZ + arrBt Z ABTY.
  38. sive = ABYY
  39. EItuE
  40. rp
  41. AveuC 327
  42. ad
  43. a
  44. ac
  45. ABZZ.
  46. Z2
  47. + E ABYZ
  48. + 2YZ
  49. 18 2Z +20YZ
  50. + 2 ABY3
  51. 4
  52. F
  53. 2X7
  54. 72Y
  55. HIOc est, uc 3 quadraca rectae Z Y, ad 18 quadrata rect 2 2.
  56. una cum 20 rectangulis Z. Z Y, et 7 quadratis 2 Y. Quod cum
  57. ubique tiac: uc habeatur ratio momenti Colidi ex lemiconvertio
  58. ne omnium Traperiorum, hoc est Semercloidis, ad momeneum
  59. solide

Cite

[Johannis Wallisii SS. Th. D. Geometriae Professoris Saviliani Oxoniae, Tractatus Duo] Johannis Wallisii SS. Th. D. Geometriæ Professoris Saviliani Oxoniæ, Tractatus Duo, fol. 21. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/85138403X:0037?run=74