Leibniz Legible

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[Johannis Wallis S. T. D. Geometriae Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica] Johannis Wallis S. T. D. Geometriæ Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica, fol. 514

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: 0.90.

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The machine reads it as

  1. D EC X OL OFDF.
  2. ZZ XF Y F M YX FB = 7 PXF C. Sive, quod tancundem elE, quacHIIICdIS
  3. M_A L. Una cum quadrilineo Z. Er FI, complent Parallelogrammum vaus 5) al
  4. Bcamma Pacalleloprammi C. B u omneo relpecle reclas L. Y unius quactrantis;
  5. cdinis PC, (altero sencet supplente quod n altere Welt.) Adeoque perinde
  6. est Bre ducamus omnia Parallelosranima vol Ouadrilinea Trilinei resticuti CZ AV
  7. in omnes respectire rectas Z PEtocius Semicirculi, sire omnia minuta Parallelo-
  8. hoc est, in omnes sinus rectos arcuum Arithmetice proportionalium in Oladrante;
  9. hoc et in omnes respectire rectas, aequalibus ineerrallis sumpras, erilinei C BB
  10. ipsi Cib parallelas, incipiendo a B (quod ltatim ostendetur.) Hoc clt, perinde
  11. est sive Tuper base A Pn, erigamus figuram alticudinum respectire carundem cum
  12. crilineo restituto C AF: Sire super base F Bn, hoc est BBC, tiguram alticudinis
  13. CF ubique; (posiro nimirum RGUTAS CM ABN, cum F Bu, Fisura BBC COn-
  14. Sruere.) Ouod aurem rectae Frilinei CBb sint arcuum Arichmetice propoxtiona-
  15. lium Sinus recti, sic constar: Cum enim proprer cum Semiperipheriam CbF, tum
  16. rectam AP, in partes aequales dirisam, omnes P Y, hoc est omnes 6Z. (crilinei
  17. C AF Fg. 7.) Sine sinus versi arcuum f 2 Arichmetice provortionalium cocius Se
  18. miperipheriae; crune timilirer omnes EY (carundem exceltus supra semidiame.
  19. trum) hoc cH, omnes recta crilinei Bb C, arcuum b2. Arichmetice proportion
  20. lium in bC quadrante, Sinus recti; (uri e, cadem ratione, Cy detectus rectarum
  21. P Y Sire Fy a radio, hoc est rectae crilinei similis B b F, sunt linus recti arcuum
  22. Arichmetice proportionalium quadrantis bF:) quod sulcepimus ostendendum.
  23. 16. F.H aurem (ut calculus 5 23. indicabic) prismatis modo dicti, balis BBC
  24. Bio T. aequalis R2 Quadrato radii cireuti generantis. (Nam si vonatur punctum Y Fg. Y
  25. in centro circuli ut C, eric cum F Y = R, Tum Z Y = R, e ZI. == 2C =29
  26. adeoque Z Y = R + a P, quae ( in Z ducatur, habetir 3 R2 F 3 RP magniindo
  27. quadrilinei CZ C F, hoc elt, in hoc casu, quadrilinci BBCF, fig. L. unde (i au
  28. feramus traperium BBCFF, hoc est, cum parallelosrammum BBBF = C F X BF
  29. =RXZ P = P, cum triangulum P bCE = G F X Z BC = RX Z R = = = R2, mane
  30. bic RE F s R P magnicudo sexmeni C. CB; unde _ icerum Cubeucamus quadran.
  31. rem

Cite

[Johannis Wallis S. T. D. Geometriae Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica] Johannis Wallis S. T. D. Geometriæ Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica, fol. 514. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/851387705:0534?run=74