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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. 831

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: 0.86.

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The machine reads it as

  1. PFOP. XXI. DeCalculo Centri Craritatis.
  2. iptiuo paccem B a M, spectac; ) uc Omnien 18 a B. + 20as b + 45. b: adt Omnias ti p. 100.
  3. 357 B: eo spectancia.
  4. Fademque ratio, sic alias collisimr: ad methodum nostra ristmetica Infinis
  5. torum.
  6. Siro rectae complences Xa D Friangulum (mpore arictmetice proportionales,)
  7. b, 2b, 3b, ecc. ulque ad maximum. YP = B. Ouarum puncta media, seu grari
  8. catis Centra, in a B posita, habebunt (in Ongula Semiquadrancali aciem habente
  9. A a) alticudines dictanciis suis ab Aa aequales, puta 5, 25, 3 5, _c. ulque 2
  10. maximam BV = S. Oux distancia, in rectas illas respectire ducta, extribent seri
  11. em magnicudinum rectis illis insiltencium (ungulam complentium, ) b5, 4 B5,
  12. 9bs, _c. usque ad maximum BS. Oux quidem series Magnicudinum, Pvrami-
  13. dem L a P complentium, (urpote Series Secundanorum;) erie ad Seriem toridem
  14. maximae aequalium, (hoc cst, ad Parallelepipedum ejusdem balis e alcicudinis, )
  15. ut 2 ad 2 F X; (pex prOP. Y. hujus: ) HOC est ut L ad 3. Puta, SB B S.
  16. b. 2b, 3b. dc. ulque ad B
  17. 5. 25. (35. ec. ulque ad S5.
  18. 65. 4b5. 9b5. ec. osque ad B . = 5 bB 5.
  19. teru
  20. Fademque Series magnicudinum (quarum omnium Centra pravitatis Tunt in
  21. a B, planore super hanc crecto; Faltem inde diltane incerrallo quod daco quovis
  22. minus AIE;) in luas iterum distancias, 5, 25, Z5, ec. ducta; extribent momen-
  23. eorum carundem, respectu ipsus A a) Seriem B5 2 8B52 27 B52 c. ulque ad
  24. BS2 maximum. Dua quidem series, (urpote Terrianorum,) elt ad seriem coti.
  25. dem maximo aequalium; pura B B S2: CHloC est, ad Parallelepipedi Nlomentum in
  26. B suspenti;) ut X ad 3 f Z; hoc e, ut X ad 4: (per prOp. L. hujus.) Adeo.
  27. que 1 B852.
  28. b5. 4b5. 9b5. ec. ulque ad B, S.
  29. 25. 35. _c. ulque ad 5.
  30. B5. 8b5. 27652. c. ulque ad B52 = = B BS
  31. Trapexium vero complencES reCtX, (quarum minima SE = Y P = B,) etun
  32. B. =b, B f 2b, B +3b, ec. ulque ad P + B, Teu 26. Quarum iaque sutu-
  33. man aequabic b_ = ZB B = ZbB, Det prOp. 1.
  34. B. B. B. _c.
  35. plus B. 2b. 3b. _c. utque ad B. = 5 B8 5 = 3bB.
  36. Eademque series in distantias tuas ab Aa ducta; hoc elt (proprer pravicaris
  37. centra singulorum in Bb,) in A Fs, A+ 25, A F 35, ecc. usque ad A F S:
  38. Exhibenc Seriem Magnicudinum eildem intistencium (Tolidum complenrium)
  39. BA + B A +sB + 5b, BA + 2b A + 25B + 45b, BA + 3b A + 35R
  40. 9sB, ec. Ouorum omnium Axrexarum (per eandem prOP. Y.) est BBA
  41. + EbB A + :BSB + 3BSB, seu 3 bB A + 3b SB.
  42. B F B, in A F s, = B A + B A + 5B + 5b
  43. B + 2b, in A + 25, = B A + 2b A + 25 B + 4 5b.
  44. B +3b, in A + 35, = BA +36A+356+95b.
  45. ec. ulque ad,
  46. 6. + B, in A + S, = B A + B A+ SB + SB.
  47. BB A F 3BB A F = BS B F 3BSB.
  48. seu 3bBA + 3BSB.
  49. Calemque Magmcudinum leries, in diltantias icerum ducta; hoc est, in F s,
  50. A = 25, A = 3 s dec. exhibet seriem Momeniorum, (respectu ejusdem A a.)
  51. Quorum

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. 831. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/851387705:0851?run=74