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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. 676

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. ap. .
  2. FUCd; CIM LINea Tecta UE AD, (propter aequalia Puncta;) Parallelosram
  3. um: uc BBA (proprer rectas aequales;) vel cirea hoc constructum Prisma, vel
  4. Cstindrus, (propter aequalia plana;) sic Scries Aqualium scu Nullanorum:
  5. Cd.
  6. BaL, TdP, 2.
  7. ENDP-
  8. (Duta Ut P, P, P, eC.) cujus Index o:
  9. eltque isitur ad seriem cocidem maximo
  10. aequalium, hoc est, illam iptam, ut 2 ad
  11. O F T;) Cineque Dictancia, uE Od, L d, 2 d,
  12. ecc. quarum maxima, D: erit Peries mo-
  13. mentorum infinita, uE OaP, TdP, 2dP;
  14. 3aP, _c. u(que ad DP; Scries Primano-
  15. rum, cujus Index c: Adeoque simul omnium momenta, (per F hujuS;) ut Z N DP
  16. :NPX Z D. Adeoque diltantia Centri Gravitatis, = D. per 24 C ap. 4
  17. Trem: Cum Priangulum ABB (proprer rectas, Bali BB parallelas, distantiis
  18. à vertice proportionales,) Et superticies Coni Prramidisre (PrOPIEr PerimetTOS
  19. planorum similium bali varallelorum, distanciis à vertice proporrionales;) Ft C0.
  20. nocides (vel Pyramidocides) Parabolicum, super Parabola B AB constructum
  21. (cujus parallela plana, propter ordinarim applicatas in Parabola in Cubduplicata
  22. ratione diamerrorum interceptarum, lunt in diametrorum ratione, lire diltanciarum
  23. a verrice; quippe in duplicata ratione ordinarim applicatarum in parabola circa
  24. 0
  25. a
  26. ∞dp, i
  27. N
  28. quas tiune illa limilia plana;) Sit Series Pri-
  29. ManOrum; DuTa, UE OP, L P, 2 P, 3P, ecc
  30. alque ad P; cujus Index F: adeoque omnium
  31. Tumma, uc ZNP; (nempe, in ratione ad t0-
  32. eidem maximo aegualium; hoc elt, ad Paral-
  33. lelosrammum, Cplindrum, auc Priima, Cupex
  34. eadem bale, aeque alcumm; ut F ad 2, peF F
  35. hujus:) Sintque in distantiis, ut Od, Ta 2 d, 3 du Ccc. quarum maxima D: Lrunt
  36. Nomenta, uE Odp, Tdp, 4. d p, 9d p, etc. Ulque ad DP; Series Secundanorum:
  37. cnjus Index 2. Adeoque (per F hujus) simul omnia, ut ZNDP = ZNP X ZD
  38. Adeoque, Distantia Centri Graritaris a verrice eAt ZD. Per 24 C ap. q
  39. Trem; Cum Pramis vel Conus, circa Triangulum ABB, (propter diametros
  40. Circulorum, vel latera similium Planorum, in ratione distantiarum a verrice:
  41. Odp, Fd
  42. dp, 27 dp,
  43. ANDP=
  44. adeoque eorum plana, in distanciarum ratio
  45. ne duplicata,) lic intinita series Secundano.
  46. rum; (DUTa UC Op, TP, 4P, OP, Ecc. ulque
  47. ad P;) cujus Index 2; _ omnium summa,
  48. ut ZNP; (hoc est, Prramis seu Conus, ad
  49. circum leriprum Prilina vel Cylindrum, uc L
  50. ad 3;) Per F hujus: Sineque, distantix ut
  51. Od, Fdu 2 d, 3 du c. u sque ad D: FrunE momenta, ut Od p, Z d P, 8 d p, 27 a p
  52. ec. ulque ad DP; Series Fertianorum: cujus Index 3. Adeoque (per E hujus)
  53. simul omnia, ut EN DP = SNPXZD. Adeoque, Distancia Cenrri Graricatis 2
  54. vertice, ZD. ver 24 C ap. 4.
  55. Similiter omnino, de Complemento Parabola dicendum: quae series est Secun-
  56. danorum. Complementum aurem Semi parabola, appello, id quod cum semi. Da-
  57. rabola complet paralleloerammum circum seriptum; (cujus diameter, est parabolae
  58. Tansens in vertice; et ordinatim applicaca, Parallela diametro parabolae;) quod
  59. utrinque cirea eandem sui diametrum duplicacum, appello, C omplementum P arabola
  60. (Puta, quod cominetur incer duas lineas Parabolicas conrexas AB, AB, A8. 128
  61. quas in communi verrice A, cangat AD, complementi diameter; batinque huic
  62. ordinatim applicatam BB; cui parallelae incellixuncur rectae tixuram complentes. )
  63. Elujusque ordinacim, axplicatae ad diametros suas; Tunt ut diametri intercepiae in
  64. Parabola, ad Tuas ordinarim applicacas. Adeoque, in duplicata ratione Diametro.
  65. rum, sire Distanciarum d verrice. Cum itaque sic (ut Pyramis) Series Secunda-
  66. norum: Momenca, lunt Series Tertianorum: Adeoque simul omnia, ut L N DP
  67. =NPxSD: EL Centri eraricaris a verrice, distantia; ED. II, de Cono e Py.
  68. ramide, oltentum. Elt. uvel
  69. De Calculo Centri Cravitatis.
  70. Fix. 127, Centri Cravicaris a plano per Verricem; per 24 Cap. 4. Fa quam habet pro-
  71. 128, 129. polirio. Er quidem, ubi per praeced. Centrum Craruacis ell in Diamerro vel AXC,
  72. Com.
  73. datur propterea ipsum Diametri vel Axis Punctum.

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. 676. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/851387705:0696?run=74