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. 4

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. e lbL
  2. lindrice excavaco convertione plani Z. Y C sirCA reCtaM A F FA
  3. e0. Sin adhuc secerur plano Zu n baliparallelo, sCGmenEUM
  4. ~ZVn. xequabitu solido ex convertione plani Z Y C. circa recia
  5. Z Y Facto. Nam ex hic eodem modo octendetur, criangu-
  6. tum on 8 aequale circuloradiiv n; & de reliquis similirer.
  7. 9. Similiter, s Euper semicrcloide A F C H9. 4. etigaCuE
  8. Prisma, sive Cplindri recti quadrans, alcicudinem habens A V,
  9. quae sIC ad A F, uE 4 A F ad P C; (nempe uc circuli Perimerer
  10. 2d Radium;) sCCetUF aurem planO F CV: SolidOF V CZ A
  11. aequacur Colidum ex convertione plani F C Z A circa rectam
  12. FC; e segmenta segmenris respectire sumptis; puta seementum
  13. TZ Y C seomento conrertione plani Z. C Y Facto. Nam ec hic
  14. triangulum F A V, aequatur circulo cadii F A; criangulum
  15. Y Z i circulo radii YZ: EE Sc ubique.
  16. 20. Aeque hactenus quidem utut rum planorum cum solido-
  17. rum omnium expolicorum dimentionem aliquacenus hac methodo
  18. cradidisse videamur: Cum camen de Gravicaris Ceneris nihil
  19. hinc constet, libet in sequencibus, FeTUMPEO ICETUM COLOnegO.
  20. tio, rem aliter expedire, hoc modo.
  21. IF. UF supea ostendimus rectam 2 Y Ag. L. aequalem arcui
  22. 2 C: Ita ostendeeur, angulum Z E A, hoc elt ZF A, arCUI Z C
  23. sive Z F, hoc est rectae AG, proportionalem esse: (nempe, uE ar-
  24. cus F Z, hoc est A C recta, ad arcum F Z C, hoc est rectam A F,
  25. sc esse angulum Z E A vel ZF A, ad C F A rectum:) prOPECE
  26. angulum ZC F anguli Z F A ubique duplum, ee propterea ucrum-
  27. 9i arcui P Z ubique proporcionalem.
  28. 12. Adeoque, dirisa recta a I in parces quortibet aequales,
  29. in punctis a, pes B, E, _C. ductisque rectis n L, i M, B B, EZ, _C.
  30. puncto concactus ad punctum lineans, (quibus parallela exi-
  31. Hune in circulo F I, F M, FB, F Z, _C.) anguli L a A, M LA,
  32. BBA, ZE A, _C. Tun Arichmerice proportionales; quorum
  33. continvus excessus primo aequalis cs, nempe angulo L a A.
  34. 23. Ductisicaque cum in C veloide rectis à L, u M, BB, GZ,
  35. _c. tum ipsis respondentibus in circulo F L, F M, F b, FZ, ec.
  36. dictribuentur Semierclois _ Semicirculus in segmenta numero
  37. aequalia; singula singulis (respectire) correspondentia.
  38. 24. Ductis item in Creloide, d punctis v. B, _c. rectis
  39. , 88, B∞, eC. quxe paralIeI sInE rectiS SL, BB, _ M, &C.
  40. Crum
  41. Solidu ands
  42. F18. 4
  43. qoeutum
  44. 18. 2.

Cite

[Johannis Wallisii SS. Th. D. Geometriae Professoris Saviliani Oxoniae, Tractatus Duo] Johannis Wallisii SS. Th. D. Geometriæ Professoris Saviliani Oxoniæ, Tractatus Duo, fol. 4. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/85138403X:0020?run=74