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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. 28

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: 0.88.

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The machine reads it as

  1. .
  2. 18.
  3. tcetL
  4. ralleloseamma vel Ouadrilinea Trilinei resticuri CZ A F in om
  5. res respectire rectas 2 Y corius Semicirculi, sive ommia minura
  6. Parallelogramma Parallelogrammi CB in omnes respectire rectas
  7. 2 Y unius quadrancis; hoc ek, in omnes linus rectos arcuum a-
  8. richmerice proxorcionalium in Guadronte; hoc est, in omnes
  9. respectire rectas, aqualibus incerrallis sumpeas, crilinei C BD
  10. ipii C b parallelas, incipiendo a B (quod Catim oltendecur.) HlOc
  11. est, perinde est sive super base AFn, erigamus figuram alticu-
  12. dinum respeccire carundem cum crilineo reltituto C AF: EIvC
  13. super base FBn, hoc elt BD C, figuram alticudinis C F ubique;
  14. Poluo nimirum AgUFAS CUM A B H, EUI F BK, AgurX BB C COn
  15. gruere.) Duod aurem rectae Trilinei C Bb sine arcuum arirhine-
  16. rice proporrionalium sinus recti, ic constat: Cum enim propier
  17. cum Semiperipheriam C DF, cum rectam A F, in parres aqualcs
  18. divilam, Omnes F Z, hoc est omnes CZ. (crilinei C A F A9. 7.)
  19. sine sinus verlt arcuum F Z arichmetice provorrionalium corius
  20. Semiperipheriae; erunt similicer omnes C Y (carundem exces-
  21. Tus supra Cemidiametrum) hoc el, omnes rectae criliner lbC
  22. arcuum b2 arichrerice proxortionalium in bC quadrante, Sinus
  23. recti; (uci ex, eadem racione, C Y defectus rectarum F X sive
  24. Fy aradio, hoc elt rectae crilinei similis BbF, Tunc lnus recti
  25. arcuum arichnetice proxorrionalium quadrantis b F:) quod suf
  26. cepimus ostendendum.
  27. 76. ER aurem (ue calculus 5 23 indicabie) prismatis modo
  28. dicti, balis B BC, aequalis R= quadeato radtii circuli generantis.
  29. Plamsixonatur punctum YEg. I. in cenero circuli, uE 6, CTLE
  30. CUI F Y = R, CuM Z Y L R, e ZZ=ZC = Z P;ad eOque ZY =
  31. R + Z P, quxe S in = R ducacur, habetUT = R 2 + 3 R P magni-
  32. cudo quadrilinei CZ. C F, hoc eA, in hoc calu, quadri HInei BBC. F
  33. tig. 2. unde s auteramus craperium BB C F; hoc ett, cum pacal-
  34. lelogrammum B B D F = C, FX BF = R X Z D = = RP, cum cri-
  35. angulum F b C LO F, =BO = R, Z R = Z R =, manebie X= + 3 RP
  36. maonitudo seementi CG B; unde hiterum subducamus quadran-
  37. cem C bC = 3 PP, manebic R = mognicudo eritinei CDB A∞.
  38. 2. hoc eAt C b B Ag. 7.) Duae quidem basis BB C = R in alei-
  39. cudinem P C = 2 R ducta, dac 2 P 2 mensuram dicti Prismatiss
  40. Eive a99rC
  41. acum omnium 2 Y in respectira parallelogramma
  42. ductarum Si aucem pro omnibus Z Y, substicuamus ubique peri-
  43. he-

Cite

[Johannis Wallisii SS. Th. D. Geometriae Professoris Saviliani Oxoniae, Tractatus Duo] Johannis Wallisii SS. Th. D. Geometriæ Professoris Saviliani Oxoniæ, Tractatus Duo, fol. 28. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/85138403X:0044?run=74