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. 329

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: 0.84.

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

The machine reads it as

  1. eFOD. XXVIII.
  2. C. Os L C C 5.
  3. Ll0C. 2XY2LL.
  4. Corollaria.
  5. D et ex praemissis: Cum sit e = 1 a - - d: Horum in FHlipS
  6. quatuor, Diametri transversae. Diametri interceptae. Lateris. Rectiu
  7. e Ordinatim applicatae; daris cribus quibusris, etiam ex reliquum (ma-
  8. Enicudinc) dari. Nempe (disponendo et relolvendo aequationes) erit.
  9. Ordinatim applicata, e = V: 1d -
  10. Ejusque quadracum, e = 1d - , d. -
  11. In EllipE L acus rectum, 1-
  12. Ed = d
  13. Diameter transverta, 1 =
  14. d1 - e
  15. 1 - d
  16. Diameter intercepta, d = 31 = V: V = 7e.
  17. d - a
  18. Et propierea, Distantia puncti applicationis a Centro, 0 = V: Z P
  19. Patet etiam; DE DIaEtEK.TFANEVerIa ad DIAMCLTUM IntCKCCPEam,
  20. sic esse Rectangula quae diximus Majora (diametris intCrCCPtIS PrO-
  21. portionalia) ad Rectangula qua diximus Minora (carum quadratis
  22. Proportionalia,) nempe, 5. d : : Id. = d.
  23. Tem: DE Diameter crantrersa ad Fatus rectum, he quadrata Dia-
  24. metrorum incerceptarum ad Rectangula Minora, (quacratis illis pro.
  25. Portionalia.) Nempe E. 1:: d - d2
  26. Irem; Ot Diameter transrerla, ad interceptam; sic transversx re-
  27. Siduum, ad quartam; qua, ducta in Lacus rectum, Rectanoulum
  28. efticit aequale Ouadrato Ordinatim applicara. Nempe F. d: : t - d.
  29. d
  30. +d d td d
  31. Tiem; De Diameter transverta, ad Latus rectum; siC Rectangulum
  32. segmentorum transversae, ad Ouacratum Ordinatim applicatae. Nem-
  33. d-d
  34. DC F. 1: : + d = d.-
  35. = C.
  36. Vol; DE Rectangulum segmentorum Diametri transverta, ad Oua-
  37. deatum Ordinatim applicatae; sic esse Diametrum. transverlam ad L. a-
  38. tus. Rectum. (Onde cujustibet FIipseos Latus. Rectum commode re-
  39. Peritur.) Nempe +d -d. e: : t. 1 =
  40. cd = d2
  41. Inde sequitur; Ouadrata Ordinatim applicatarum este Rectangulis
  42. segmentorum Diametri trantrersae proportionalia. Sune enim ubi-
  43. que ut 1 ad t.
  44. Adeoque

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. 329. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/851387705:0349?run=74