Leibniz Legible

Machine transcription of the Leibniz Nachlass

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[Johannis Wallis S. T. D. Geometriae Professoris Saviliani, in Celeberrima Academia Oxoniensi, De Algebra Tractatus; Historicus & Practicus. Anno 1685 Anglice editus; Nunc Auctus Latine. Cum variis Appendicibus; Partim prius editis Anglice, Partim nunc primum editis] Johannis Wallis S. T. D. Geometriæ Professoris Saviliani, in Celeberrima Academia Oxoniensi, De Algebra Tractatus; Historicus & Practicus. Anno 1685 Anglice editus; Nunc Auctus Latine. Cum variis Appendicibus; Partim prius editis Anglice, Partim nunc primum editis, fol. 879

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: 0.83.

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

The machine reads it as

  1. PRTGONOMETETA SPHERICA.
  2. 20. Pex RCG. 6. S ZCr. SZer:: rZ P. FZZLL, VerE.
  3. Ergo terminos ho.
  4. RCg. 7. 73ZOr. YZZOr:: TZZLL BaC. FZZ LLbaI. Emolosos invicem
  5. RC9. 8. TZXLLbaC. YZXLL. Vert. :: r= P. TEZLLbaT.) mulciplicando.
  6. S, Zer X TZZer. S, XOr XYZXOr:: 79ZP. TG ZZLL baL. ErgO (per Jem. 2.)
  7. 2.92Zer. Z.9: Xor:: 7q= P. I93 DLLbaC. ErBO Z ZZCr. Z.ZXOr:: 7ZP. TZZLL. bal.
  8. Demonstracio ilta lupponit P =Z LL Vert. 1. c. perpendicularem cadere intra
  9. Friangulum: Sed et exdem proportiones oriuntur, li Cadat extra.
  10. PRDBF F M A
  11. In Triangulo quovis Sphaerico datis 2 angulis et bale incerjecta invenire latera
  12. reliqua, vel anguli tertii crura.
  13. S3 Z LL.SZX Luta:: T Zba(. FZ XCr.
  14. 2 32 L6. Z.3X Lab:: TXDaL. T 3Z OY.
  15. Demonstratio nicitur iisdem Lemmaribus _ Regulis quibus praecedens. Sed et
  16. Patimi ex praecedenre constei, si muretur criangulum ulcimum in sibi supplemen.
  17. rale.
  18. RF GV F A IZ.
  19. In Triansulo quoris Sphaerico demisso a vertice arcu perpendiculari ad ba-
  20. Tem: eric.
  21. FF7 segmentorum batis. TZZer:: T Z Xor. T Z X segm. BaI. Nam Per RCS. 2.
  22. ZyBP. Z,DP:: Z BA. Z,DA. ErgO Z BP F ZgDP. ZBP ∞ ZGOP:: Z BA F ZyDA.
  23. Z, BA ∞ Z, DA. FYSO (Per Tem. 7.) =2Zer. TZXCr:: rZT Ccom. TZ Z legm
  24. Frgo FEXer. T Z X Ccgm.:: (7 = 2er. 7ZL. SCgm. . :) F2Z Teom. YZLBr.
  25. P ROBL F. M A.
  26. Daris Frianguli Sphaeriei3 Lateribus, invenire angulum. Demittatur per-
  27. pendicularis, exieque T= bal. Y LZer:: T= Xor. F, F. Tum F F 3 bal. = sCB.
  28. mento majori. e si F = ba C. perpendicularis cadir exta Friangulum.
  29. minori
  30. Tum
  31. R. 2, BP:: T, BA. Z B
  32. e R. T, DP:: Z, D A. Z, D
  33. intra

Cite

[Johannis Wallis S. T. D. Geometriae Professoris Saviliani, in Celeberrima Academia Oxoniensi, De Algebra Tractatus; Historicus & Practicus. Anno 1685 Anglice editus; Nunc Auctus Latine. Cum variis Appendicibus; Partim prius editis Anglice, Partim nunc primum editis] Johannis Wallis S. T. D. Geometriæ Professoris Saviliani, in Celeberrima Academia Oxoniensi, De Algebra Tractatus; Historicus & Practicus. Anno 1685 Anglice editus; Nunc Auctus Latine. Cum variis Appendicibus; Partim prius editis Anglice, Partim nunc primum editis, fol. 879. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/851708439:0903?run=74