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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. 820

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: 0.84.

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The machine reads it as

  1. De Calculo Centri Cravitatis. Cap. V
  2. Fir. 266, cum Magnitudines cum Diltancias utrobique aequales. (Si vero vel Ongularum
  3. acies, vel rectae ad quas momenta altimantur, tinc Aa; aliare quae ipsis ra, TA,
  4. Parallela non tic; lecus erit: Propier vel Magnicudines, vel Diltancias, rel utral.
  5. que rariatas. Or post dicendum exit.)
  6. EA auem, rori semicirculo insiltenis semiquadrancalis Ongulae, aciem ha-
  7. benris ra Momentum respectu ejusdem ra rectae, 3R3 Z; e respectu rectae
  8. PA, 2 R3 P; per S T. PFOV. F6. Porique Frilineo insistentis, aciem icem ha-
  9. bentis za momentum respectu ran eltu Z R3P; respectu T A, Z R3 D; Der SB.
  10. PrOP. 19.
  11. tergo Semiercloidi insistentis Ingula aciem habentis ra momentum respectu
  12. 70, 28 R3 P; e respectu FA, 25 R. P. Adeoque (propter magnicudinem S R2 P.
  13. Der S C. proP. Praeced.) Diltantia Ceneri graritaris Dnoula d re 6R; a JA, 3R.
  14. Semisolidique circa ra, Magnicudo (quippe ad illam noulae, uE = P ad R, scu
  15. P ad 2 R,) E RDZ; Diltancia Ceneri gravicaris a ra (quipre ad illam Ongula,
  16. ut 2 R ad L P, seu 4 R ad P,) 2 P; semitolidique momentum respectu axis
  17. sui ron ad illud Vneulae ut 2 ad L; (propter maenicudinem uc P ad 2 R; ee di-
  18. Canciam ve 4. R ad X: per PrOP. 12. e 24. elque R n = 7:) hoc est,
  19. 23 R. Y.
  20. Similicer; Semicireulo insistentis Ungulae, aciem habentis F A, Momentum
  21. respectu ran 16 3∞; e respectu Y A, 1 R3 P; (per 5F. prop. 16.) Trili
  22. neoque Relticuro insistentis, aciem habentis TA, momeneum respectu ra, Z R34
  23. (idem urique acque aciem habentis ro Momencum respectu TA, propier magni-
  24. iudines _ distantias reciprOcaTAS,) e respectu TA, IE R3 P; Per SB. PrOP. 19.
  25. Ergo, Semiereloidi insistentis, aciem habentis T A, momenium respectu ra
  26. 2R3 P; e respectu TA, 28 R3 P. Adeoque (propres magnicudinem, 3 R2
  27. per SC. prOP. praeced.) Diltancia Centri. a r an 23 R; e d TA, 22 R. Semiloli-
  28. dique cirea TA, magnicudo, i R D=; Diltantia Ceneri sraricatis ab aXC ConVer-
  29. tionis TA,
  30. (18X
  31. 2 ∞i Momentum relpectu ejuldem F A, 3 R3 P.
  32. irem Ongulae Sectoris BaA, aciem habentis ra momenium respectu ra,
  33. 8FR3 = 3 SBR2 - 3 s R; respectu L A, 3F R - 2 sB A = 12 s R; Der B W.
  34. PrOD. 16. Ongulaque porrionis Trilinei resticuri bBaBA, aciem habentis ra
  35. momencum relpectu ro, EF R + E 5BR = 3s R; relpecta YA, 3F R + 35 R
  36. Der SC. PrOP. 19.
  37. Ergo Ongulae Portionis Semieveloidis B Ba V A, momentum respectu ra, 27 f R:
  38. +85BR = 2b5 R = 32 a R) + 3sR = 85VR= 65 R; relpectu TA, 3 s R
  39. 3 SBR2 + 2b 5 R = 37 a R3 + 3 5 R + 50 R + 23S) R. AdCOqUO (PTOBIT
  40. magnicudinem Z f R2 L E sB R, pPerSD. prOP. Prxeced.) Distancia Cencri Sravica.
  41. 15FR + 155B1 e a, F A, 3R 4 sBR - 7
  42. 45FR = E5 5B
  43. rIB 2 78 Z R + =4SB R = 5.
  44. dique circa ram magnicudo EF PP + sBP: momencum relpellu ra, 3 f R.
  45. +3 sB = . R; Centei erabicatio L ru dillania, (4 R 56 5B F. - 28 S R
  46. 37
  47. 45fAP F 15 5tZ
  48. Similicer, Ingula Sectoris Ba. A, aciem habentis Y A; Momencum respectu
  49. T A, elt 3fR= 2 sB R 2 - 2s R; pex S W. PrOP. 16. Ongulaeque in Frili.
  50. neo correlpondentis bB a BA, i FR3 = = 5B R 2 = 3 s R, pet 5C. prOP. 10.
  51. Ergo Ongula portionis Semiercloidis BBa V A, aciem habentis L A, momen-
  52. tum respectu iptiuS TA, 3 fR3 - 22 5 B R 2 = 365 R = 2 a R3 + 35R F 32 5V R
  53. =3sR; _ respectu ra (idem quod aciem trabentis ra, momentum respectu
  54. PA: Propies magnicudines et dictantias reciprocatas,) 34 S R . L a 5B R2 , 35 R
  55. =3 a + 2 sR. = 2 52 R 4 1. s R. Adeoque (propter magnicudinem 25 R
  56. Sb_ per S. D, BEOP. pracect.) Distancia Ccatei pravicaio 2 F A, 3 R=
  57. 52 5 B R
  58. 320
  59. 170.

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. 820. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/851387705:0840?run=74