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. 874

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: 0.71.

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

The machine reads it as

  1. 4
  2. TRTOONOMEPETA SPHERTCA.
  3. sicus; BA, BP (=BM) crura, P A ejusdem Batis urcunque obliqua (modo non
  4. sic Delpenateltal 1o) platio Ba. Dcllatu ecla LPe, e 1) 16a td1b
  5. e MF YCR. FrEO BL. = B A = L. A = V valis = V ditt er. Sed A F. AC:-
  6. BL. CM. _ MF. aC:: RM. Ya. ErgO (proporcionis uriulque terminos homo-
  7. 10505 invicem mulciplicando) AF. 2 m F. AC na C:: (BL. XBM. Fm X y a::)
  8. bL. ya.
  9. C A505 XI.
  10. Dacis cribus Frianguli Sphaeriei laceribus invenire Angulum.
  11. D Sin er. R9:: 5: 3 bal. F Z XCr: X S: 3 baI. = = XCI: S93 Anguli.
  12. Dem. A H X MM F. R9:: (per Axiom 4.) bL. Ya:: BL. X 3 R. Y a XF R, 1. C.
  13. (per Lemma 5 e 1.):: S: Z bal. = h Xer: x5: 3 bal. = 3 Xer: 593 AB.
  14. COROF L. A R ZV M. I.
  15. Putam, n, Anguli crura, B basiS. Z. = m + n. X = n - m. 3 = 1 m + 3 n + 3 B.
  16. Ereo D Sin cc. R9: : 5: 3 - m: X5: 3 - n. 59 3 ANS.
  17. Eodem redeunt proportiones bina quibus ucitur Vaccus. Nempe, S, m. S: Z-
  18. : 5: 2 = n. A. de S, n. R:: A. Q. Tum RXG = 593 A1S.
  19. COROLL ARZON I
  20. Potito p = complemenco cruris m, Gunterus catum undecimum solric per
  21. hanc simplicem proportionem. S, m. 8,n: : 2, B e S: p f. n. V Anguli. Nam
  22. 5n) RR (= 0 H. de VB _V: M = n. = Z. B ∞ =: 1 - n: = =B ∞ 3: p + n.
  23. COROZL AR LV M 1II.
  24. Seu Propolicio non absimilis Axiomati quarto.
  25. D Sin er. Rg:: V Z0r = V baC. ~ Anguli. Nam Cumpeis icerum in manns
  26. circulis CharcaCCIS, redueatur planum B P ad planum B A, ica uE constitmane cireu-
  27. lum unieum, _ deMiCTaCuT PA Y AC. TUm BA = X A = BA. 1. c, V Z er = V
  28. baF. Sed AL.. AC:: BR. BP. m F. R:: BP. V ANGuH. ETBO APXIF. RG:5
  29. (bAXBP. BP XV::) ba. v. Hine sequituT.
  30. COROL L ARZV N IV.
  31. D Sin Cr R9: : 5: 3Z er + 5 baC. XS: 3 Z0 = , baL.. Z. 9 AANG. NAM AF
  32. LM F. Rg:: BR. V: : BA XSR. VX Z R. I. c. (Der Lemma 5 de 2.):: d: 3 Zer
  33. + 5 ba(. 25: 3Z0r = 3 bal. Z 93 An8. Hinc
  34. COROL L A R ZV M V
  35. 33 M XS, H. R93: 8, 3X8: Z = B. 29 3 AB
  36. EOROL
  37. 1
  38. di
  39. c
  40. Un
  41. le
  42. lic
  43. et
  44. su
  45. 1
  46. bre
  47. l
  48. l
  49. a
  50. 1s
  51. eut
  52. v
  53. lin
  54. Bu

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. 874. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/851708439:0898?run=74