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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. 749

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: 0.85.

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The machine reads it as

  1. PEOP. XVI. De Calculo Contri Cravitatis.
  2. R2 2 - f 5 ~ R - 5
  3. 5R + 2V; propterea ejuldem respectu Y A (aciei SuX) momencum
  4. 35 R = 35V R2 = 125 R (Solidique correspondentis momentum est hujus du-
  5. plum.) Oux quidem Onsula momenta, momenris respectiris Onsulae sectori
  6. Ba A inGltentis, aciem habencis P A, hoc elt, 8a P3 + , +5 R3 + 5V X 12SA
  7. rclp. 7a; e relp. T A, 3a R3. F 3+.s R3 F 545V R2 = 12 5 R; UCS W. ) Tublata:
  8. relinguune Ongulae Sectori BC A inCiltentis, aciem habentis TA, momentum respectu
  9. 7893 a R3 = E5 R3 f SsV R2 (idem nempe quod Ongulae eidem BC. A inliltencis,
  10. aciem habentis ra, relpectu YA; propier alcicudines ee distantias ubique recipro-
  11. catas;) de respectu (aciei sie) YA, 3a R3 = 35 R = 3sVRE; (hujulque
  12. duplum, elt momentum correspondentis demisolidi, respectu sui axis conrertio.
  13. nis:) Onsulaque haec momenta, per magnicudinem Z a R 2 = = 5R 2 (uEST. proP.
  14. praececl.) divica; exhibene ejusdem Ceniri etav. dillant. 2 r a 3a - 3 5 R f 3 50
  15. eu a FA, 25 a R - 135R- 350
  16. 12 a - 85
  17. 12 a - 85i Cquae, obserracis obtervandis, semisolidis ac.
  18. commodari tacile poterune.)
  19. Eadem haberi polerune, ope Prianguli BY C, et Ongularum huie intisten.
  20. rium.
  21. Oux aurem huic insistit Ongula semiquadrantalis, aciem habens D C; est Pyra-
  22. mis: Cujus verter C, alcicudo C V = x, BaliS (rectae B V intistens) BVLC V =5∞
  23. adeoque prramidis magnicudo; sX 2; Distancia Ceneri gtaricatis d DC, Z V; adc0.
  24. que momentum Pyramidis relpectu DC, L5 X 3
  25. Si vero ponatur Vngula axisr a Begne V Supra Centrum; vel aeies Y A, EL.
  26. que V intra Cencrum; Pyramidi huic subjungendum, est Prilma, super eadem base.
  27. alricudinem habens C a, vel C A, hoc est R; cujus itaque (propier Frianouli
  28. magnicudinem ZSX,) magnicudo erit Z Sx R. Centrique graricaris a DC diltan.
  29. tia (eadem quippe quae Fransuli,) zu; adteoque momenum respectu DC.
  30. SX 2 R.
  31. Focius icaque Sngula ipli BV C criangulo insittentis; aciem habentis Y a Vel
  32. PA, tangentem remociorem; ex Prilinace et Pyramide confsaca: MOENEre
  33. spectu DC, cl, 35 N = R + a
  34. Acque hoc per Ungula magnicudinem : Sx R F 5sv dirisum, extribet Centri
  35. Bravicaris d DC distanciam +. r P F 3 ~
  36. 6 R + 4 X
  37. adeoque ab Ungula acie, scurangence
  38. remociore, (incelliee, ut alibi, a perpendiculari plano luuie intistence,)
  39. AR F 4 + i d propiore, R - 4 v R + 3 ~; Adeoque momentum respe.
  40. 6K = 4 X
  41. R + + N R = 3 ~
  42. Au remotioris tangentis (aciei TuX) L S X R + 3S ~ R + L 5∞3; de respectu ran-
  43. sentis proxioris (quae aciei opposita est) : S W R = - = 5 ~3
  44. Si veroponatur Ingula acies ra, _ V intra Centrum; vel acies Y A, 8
  45. supra Centrum; Prismati anterenda est illa Prramis, (ejusque momento motmen
  46. rum hujus:) Adeoque Ongula magnicudo, etitus 25 v X - 3s x; momencum respectu
  47. DC, 35 ~ R - = 543; Centrique gravicatis d D C distancia, + ~ R = 3 _
  48. Acie, teu rangence propiore; P-
  49. 6R - 4a i e ab
  50. LX R =3; a remoriore (quae aciei oppo.
  51. 6R - 4 X
  52. Eiua ett) P. + 4 ~ N - 3 n: Pe momencum respecta aeiei (seu roneenris pro.
  53. 6R = 4 2
  54. Pioris) ZSNR= -35 _2 R + + 543; et respectu cangentis opposica (remorioris)
  55. S_ R = 2 5
  56. Hoc est: Ongulae Priangulo B V C insistencis, aciem tabeneis ra; momehium
  57. respectu iptiusFa; est Z 5a P = ZS ~ E R F a S N3, (prout supra intrare Centrum
  58. Tverit V:) EC respectuT A, SN R = Z5∞3, (Cve suvea Ere intra Centrum
  59. tuerit V, proprer alcicudinum et diltanciarum reciprocacionem.) Cenirique era-
  60. Bbbbb 3
  61. vitacis

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. 749. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/851387705:0769?run=74