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. 20

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: 0.87.

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The machine reads it as

  1. c CLCLI
  2. IIla, uE 00, FBX Y 7, 2 b X 2 9, 3 bX 37, _cc, hoc eH, 00, 1b y
  3. 4by, 9b y, _c, ulque ad BY. Deinde, cum horum planorum
  4. momenca respectu rectae A F, Sint factis ex maenicudinibus in
  5. distancias proportionalia; Cintque diltantia, uE O, a, 2a, 3 a, uC,
  6. vique ad L; CTUHE CA MOICNEA UF O b p XO a, L b p X T a, 4 b y X2a,
  7. 9b yX3 a, _C, hoc Clt 000, F a b y, 8 a b y, 27 a b y, ec, L(que
  8. ad AB Y. HOc el, ommiamomenca, sune series Perrianorum;
  9. Oux Terranorum series, ad cocidem maximo xqualia, hoc est ad
  10. maximum in alticudinem ductum, hoc est ad Cslindrum vel
  11. Prisma ejusdem vel aequalis balis aquealtum ex puncto Y su-
  12. spensum, est uc x ad 4. Guod dicamus igirur = A ABY.
  13. 63. Fodem modo; Infinicae rectae Traperii, a minima B, hOc
  14. est Br, ad usque B F B, Sve 2B, hoc estV P; Tune B + O, B + b,
  15. B + 2b, B + 3 b, Ecuque ad B + B. Radii vero peripheriarum
  16. amediis rectarum punctis descripearum, Tune Z + 0, Z Y y
  17. Z+ 2 7, Z + 37, _C, usque ad Z F Y. Fx quibus seriebus invicem
  18. respectire ductis Ac series magnieudinum, B Z + 0Z + oB+00,
  19. BZ + bZ + y B + by, BZ + 2 bZ + 2 y BF + by, BZ + 3bZ
  20. + 3y B+ 9by, ec, uque 2d BZ + BZ +YB + BX. Oux SI
  21. ducantur in respectiras uas ab A F diCtanEIaS O, a, 2a, 3a, _C
  22. ulque ad A; tier series Momencorum
  23. OBZ 10007400B +000
  24. a BZ + a b Z F a y B + a b y
  25. 2 aBZ + 4a bZ + 4ay B + 8 a by
  26. 3aBZ +9 ab Z, +9ay B +27 a b7
  27. ecc ulque ad
  28. ABZ + ABZ + AYB+ ABY
  29. Cujus summa eAt Z A ABZ. +: A ABZ t = A AYB + = A ABY.
  30. Eve
  31. 6A ABZ + Z. AABY.
  32. 6a. Cum igitur sic rario momenei hujus ad momentum illius,
  33. Ut Z A ABZ + Z A ABY ad = A ABY; hoc est (dividendo
  34. Per A A B) ut 2 Z + 2 7
  35. uc 10Z F , Y ad 3Y:
  36. ive (ductis omnibus in 22)
  37. Nempe, ut 10Z2 + 7 2 X 2d 32Y.
  38. eadem scilicet rario quxe _ supFa 546,) Arque hoc ubique:
  39. PFOPteF Omnes 7 ZY ad 32Y, Ponenda racio 7 ad 3; _ PrO
  40. PTeF 2OZ Z ad 3ZY, eadem guae supra S 45. Ec quidem can-
  41. dem ucrobique rationem provenire necesse est, (utuc variis modis
  42. dibueric inrestigare:) Nam momenum solidi ex conversione e
  43. jusde
  44. 8.

Cite

[Johannis Wallisii SS. Th. D. Geometriae Professoris Saviliani Oxoniae, Tractatus Duo] Johannis Wallisii SS. Th. D. Geometriæ Professoris Saviliani Oxoniæ, Tractatus Duo, fol. 20. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/85138403X:0036?run=74