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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. 42

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: 0.84.

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

The machine reads it as

  1. L
  2. Li+2.
  3. ad C2 , sC Z F = V: D2 = a2: 2d Z Y = a N: D2 = a
  4. Ouiiraque est character rectarum Z vbilinei AC. vAg. 10. PO-
  5. sea recta C 2 ((18. 8.) = a. ad eoque curri C Z H8. 8. ho:eAt,
  6. recta C Z H9. 20. 2a.
  7. 22. Fsujus aurem Dilinei, hoc est omnium limul L v, menfuca
  8. Ec colligitr. Omnes V: D= = a: Tune uc ordinacim applicac
  9. in Circuli vel Ellipleos quadrance. Adeoque (i radio D = C F
  10. delcribatur circuli quadrans C Fn Ag. LT. ipsius omnes recte
  11. ZS, caclio C n Parallelae, sunE V: D= = a: (Ponendo C 2 = a.)
  12. Deinde, (i Tuper hoc circuli ouadrante erigatur quadrans Cylin-
  13. dei recti, alricudinem habens Fo= C. F D, qui oblieve lece-
  14. cur plano eCn; e abscicta porrio secerur plano (uper Z. S recta
  15. erecto: lectio Z o erir poralleloorammum, cujus ba(s L. S = V:
  16. DE a: alcicudo 2G = C 2 a; edeoque ipsum patallelo-
  17. GFiMU L 8 a N: D a2. Cunque haec omnia paralleso
  18. oramma numero infinita, porcionem Cplindri complencia, line
  19. respectiris rectis ZvHg. 10. proportionalia (uc qua ad eandem
  20. a v: D2
  21. Di EaEV-
  22. bique ue CF A9. IF. dd C2 = 28, (C 2S ad ZY; erun omnes rectae
  23. 2 Thg. I2. aequales respectivis rectis 20A9. 20. Dleque aliter
  24. diftere Bilineum ACV Ag. 20. d Bilineo F C X Fg. TP. Quam quod
  25. (PFOPEeF reCtIM AC duplam rectaFC) alterii sie alcerius duplum.
  26. (Ec parces iltius respectivarum partium hujus du
  27. PlX.) Est aucem C Y F curra, currae hujusmod
  28. (in se pos decullationem inicinere, recurrencis) Par
  29. QUATEa
  30. 13. Sed _ pari ratione Bilinei FC Y Ag. LL. segmenca
  31. CZ Y, Tunc Cylindeicae porcionis segmentis C Z0 Propocciona-
  32. lia. Tocumque Bilineum FCY, ad quadratum rectae CF,
  33. eam habec rationem quam expolita porcio Cylindrica ad ejus-
  34. dem rectae CF cubum. Adeoque vE X ad 3. Sunc enim omnia
  35. criangula Z 3s (triangulo C F a Parallela e Cimilia) porrionem
  36. Cylindri complencia, ad coridem triangulo C Fo equalia, uc
  37. omnia quadrara 2. 5, ad omnia quadrata C F cubum rectae C F.
  38. complencia; nempe uc omnia D= a ad cocidem D, hoc elCuF
  39. n Z ad Z, (IVC UE 2 ad3. (Vel, quod eodem relidet, uc omnes
  40. CIIC
  41. P1G, LF.

Cite

[Johannis Wallisii SS. Th. D. Geometriae Professoris Saviliani Oxoniae, Tractatus Duo] Johannis Wallisii SS. Th. D. Geometriæ Professoris Saviliani Oxoniæ, Tractatus Duo, fol. 42. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/85138403X:0058?run=74