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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. 873

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: 0.87.

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The machine reads it as

  1. PRTGONOMEFETA SPHARICA.
  2. Catrs 8 Tublequentes Tolruntur, ducendo ab extremitate (P) Lateris dati cathenum
  3. ansulo daco (B) oppotitam; cumque addendo vel Tubducendo baleos legmenca, et
  4. Vercieis ansulos, pro diverto cacheri casu incra rel extra Priangulum.
  5. BP. PD. B BD, R. Z, B:: F, BP. T, BA (per calum 4. + a). Demde 2l. L. 0
  6. (Per RCG. 2.) Zy BP. ZyB A:: Zy DP. ZyDA.
  7. Verum hic ambiguum est an cathetus cacat intra vel
  8. exera Priangulum; nisi Species LD (B. C. UtrUM SIE
  9. acutuS an obcusuS) aliunde cognoleatur.
  10. BP. PD. B R. Z, BP:: T, B. FBPA. (per casum 3. 1 2). Tum
  11. (Per R2C9. 4.) T, DP. T, BF:: ZBP A. ZGDP
  12. Hic etiam Cacheri calus est incertus, nisi cognoscatur
  13. Species anguli D.
  14. R. ZyBP:: T, B. TBPA. (per Ca5. 3. 1A.) EF (per
  15. RCG. F.) 2,B. Sy BF A:: Z D. Su D P A. I Si B, D
  16. Eine similes, Anoulorum BP A, DP A, Summa est
  17. P: Iin secus, differentia est = P.
  18. B1. B. D BD R. Z,B:: T, BP. F, BA (Per C45. 4. 11.) et (pe
  19. RCg. 3.) T, D. T, B:: S, B A. S, D A. I Si B, D, linc
  20. Timiles
  21. distimiles B A + D A = BD.
  22. B. P. BD D R. Z, BP:: T, B. ZBDA. (per C43. 3. LA.) Fum=
  23. (PCF RCG. L.) S, BP A. Su DF A:: =, B. Z,D
  24. aCutUS
  25. ObtSuS
  26. BP A SC = BPD, acque B obcusus: erit D aeutus.)
  27. aCutIS
  28. ACUELS
  29. Sin BPA sIt = BPD, acque B obtulus; exit D obcusys
  30. B. P. BP DP R. Z, BP:: Y, B. FBP A. (per Ca5. 3. -1 1.) Deine
  31. (per RCG. 4.) Z, DP A. Zy BP A:: T, BP. T, D)
  32. timilis
  33. Si DP A sic diltmitis L B: erit D P. = 90.
  34. BP. BD. B DP R. Z, B:: F, BP. T, BA (per Ca5, 4. 11.) _ (pC
  35. RC8. 2.) EnBA. EyBP:: ZyD A. ZyDP.
  36. Si DA si
  37. similis, distimilis (P A vel) LB: erIE PD - = 00
  38. BP. BD. B D R. Zy B:: T, BP. T, BA. (per Ca5. 4. -B.) tum
  39. (Der RC8. 3.) S DA. S, BA:: L, B. F, D.
  40. bc =, = BD: ecic D similis, dictimilis L. B.
  41. E F. M M A V.
  42. Sinuum verlorum 2 arcuum Ditterentis du-
  43. Eta in = R, Cst =S semisumma arcuum XS SC.
  44. midifferentix. Sinc enim arcus AF, AF, Si.
  45. nuum verlorum disterentia est AG AFT == FB.
  46. _ SZ X arcuum =FO, ec S =Z arcurim = AD.
  47. SCd AACD ZAF E B. ErGOAC. AD:: F H.
  48. FB. EYBOLAC RFB = ADXFO.
  49. Si BA
  50. BD. B. D, P
  51. AX LO M A Duarcum.
  52. Rectanoulum lub linibus crurum Anguli, eit ad quadcatus Ldd, ut duCle.
  53. tia Sinuum Versorum Balis e difterentix crurum, ad Sinum Versum AngulI.
  54. Puta enim BETa Solidum chartaceum supra delexiprum, sicque B ansulus qua.
  55. SFFF5
  56. Tieus;

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. 873. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/851708439:0897?run=74