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. 864

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: 0.86.

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

The machine reads it as

  1. 864
  2. IRLGONOMETRTA PLANA.
  3. Codiais Tublcetn Marum semisses seu Sinus, diriau Laa 1 Palles 100
  4. _c. adjectis quocet eitis; Suod reddic calentum mulo Lacittore pel aelto.
  5. nes Decimales lelo Sexasctimalium inde orcas, de ex eo quoa eritatur Diritio, s
  6. Racius sic primus in Reguta Zrium cerminus; vel mulciplicacio, E lic secundus vel
  7. Tertius.
  8. pernico. Calculus Sinuum de Lansencium cradicur d Rbesico, Clavio, Pitisco, Ces-
  9. brando, Cavallerio et Snellio: nituirum en fere quae sequicur mechodo.
  10. Modus calculandi Subcensas traditur d Pcolemaeo Reciomontano RheticO, de C0-
  11. 9.
  12. 2. Daco Areus Sinu AE, invenire Co Finum H A.
  13. EAg = AFG F FRg. ErBOV: F Ag- AFg: =FF = HI A. 1. C. V: R9
  14. 2. Daco Arcus Sinu A C, invenire B N Sinum dimidii AFCUS.
  15. HTabecE PE (per Y,) adeoque BB. Tum V: AF g + F. Bg: = AB. _ ; AB
  16. BN. 1. C. EV: 59 + V g: =-53 ArC.
  17. 3. Daco Accus Sinu BH, inreaire A F. Sinum dupli AreUS.
  18. HabetuIE (DeC +) Co sinus FN, dc cum a F BNHC ZA ABF, eric FB. FN::
  19. AB. A F. 1. C, R. 2. :: 25. S accus dupli.
  20. 4. Dacis SinibuS BO, x P, duorum Arcuum BB, x B, invenire xe Sinum Summa
  21. Arcuum.
  22. Habeneur (per E) CO sinuS FO, FP. Sed FB. FP:: BO. Pr. DC ( propter
  23. AYEXZAFOFZANDFZAOBF) FBFO: xP. xy. Ereo cognolcencur Pi
  24. Xy. ded Pr + x y = x P. h. C. Si denur C, C, SinuS Z Arcuum, et eorum C0 sinuS
  25. F, 3: Sinus summx areuum eric =
  26. CrncF
  27. .: Paricer Sinus ditterenciae Accuum erie
  28. 5. Sit a L areus 30 praduum, de a B quilibur areus = aY, ee ab = aB; du.
  29. eancur Sinus Bco, BK, Bd de chorda bB, de Raciusa F secans BB in e, ee bK in f.
  30. ErBO L BbC = LBFe = L. L. F a = 30. FrBOBC = : bB = eB. ErGO 38b9 =
  31. bcq. EreosBXY3 =b0; e Ba + eBX V 3 =- bd, hioc M, SInUS arCUS InOTIS
  32. 30 adduo linu detectus ducto in V3 (nempe 1. 732050807) cL aequalis SinuI
  33. areus cancum 30 gradus superancis, quancum alcer detieie. Errso s invenci fuerine
  34. Sinus usque ae 303, dabuncur reliqui ulque ad 60 per addicionem ee musciplica,
  35. tionem in V3.
  36. 6. Propter ch = b8, eric rB F b8 =K B, host est, Sinus areus minoris 60BFa.
  37. dibus, addico linu defectus, tacit sinum arcuscancundem 5o pradus excedencis.
  38. Ereo

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. 864. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/851708439:0888?run=74