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. 78

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: 0.89.

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

The machine reads it as

  1. SCFOTD.
  2. maliter rectae ma, e in prorime majorem m a rectae mu: du-
  3. CaNCUE, Dn (Tubrenta genicoris) e M Z, Parallelae ipsI m’a
  4. IteM AM, a Z, dS parallelae: quare a 2 cangit C veloidem in
  5. an e Parallela e aequalis est ipsi mW. Qnonom igitur ip (x
  6. i 2 (Guum (iMIE. aequales _ parallelae subrensiS genitOris) TunC (I-
  7. nus angulorum suorum a mC ad Radium AD; e in Frian-
  8. sulis rectangulis mu m, lacera mu linus corundem angulorum
  9. 2d Radiu M MS ergO eAt VE AD ad riII m, ica ma ad
  10. m’u, vel a 2. Fcquoniam anguli a m C aequaliter sese ex-
  11. cedune, ergo in Triangusis similibus AD n, ~’ I S, eA UE A D
  12. ad An ica n a ad 25, e (quum An sic indetinite mini-
  13. ma, e Propterea aequalis arcui An, live ipI mW) est uE
  14. D ad mn, Ita M a ad aS; CTAE AULCM UE AD ad
  15. M m, ita n a ad d Z3 quare est uE M a ad n d, IEa 2 Z
  16. 4d d5, Sed diferentia InFeF a M _ aM est ad a m data
  17. quavis ratione minor, ergo a 2, dS lunt aequales, _ limul sumpEx
  18. portioni currae a’a aequales. Fst ergo porrio aa duplum ipsius
  19. mu: atque idem ubique demonttratur. Omnes igieur a a TuNE
  20. duplae omnium m u. FE s abscindatur a verrice portio quaelibet
  21. A a ea dupla eCL OMNIUM M u guX SIINE INEeF D EE M: Sed
  22. omnes mu (quum ipsi mu sine Cines complementi, quorum
  23. sinus recti une um) sunt aquales omnibus um: omnes aurem
  24. i m (quum sint differentia ipCarum m a) Cune aequales maximae
  25. m a hoc est ip(i AD. Frsosemicurva A a 8 dupla est diametri
  26. A D. FE quoniam omnes um inter C _ mI, sunt aequales ma-
  27. ximo siriui scilicet mlaIs ergo omnes mu inter C _E mI TunEX
  28. quales linu complementi iplius mal. Ouare Porrio quaeliber
  29. UE A Y (cujus normalis N Y est Imus rectus anguli Y N M ad
  30. radium AD) dupla est sinus complementi AFI.
  31. Curvis Cjeloidum Procractarum es Contractarum
  32. assienantur semiellipses aequales.
  33. N C. veloide contracta G0OM, demittantur ubigue 00 per
  34. Lpendiculares in proxime majorem om, cui parallela ducatur
  35. ay ex junctis00 inscribatur polrgonum. Ouoniam estuE AD
  36. 2IAO, ita ma ad a0,ec in Triangulis similibus ma65,
  37. aOy, eltuem’aad aO, ica aS ad O1 y; ergo eAt uE AD
  38. ad AO, iCa
  39. Sad Oli y, ec converse uc 2 A D, dd 2 AD + AO

Cite

[Johannis Wallisii SS. Th. D. Geometriae Professoris Saviliani Oxoniae, Tractatus Duo] Johannis Wallisii SS. Th. D. Geometriæ Professoris Saviliani Oxoniæ, Tractatus Duo, fol. 78. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/85138403X:0086?run=74