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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. 788

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: 0.75.

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The machine reads it as

  1. DeCalculo Contri Gravitatis. Cap. V.
  2. ejusque respectu PA, momiencum, 3f R. F 3SBR 2 = SH R = 3 fR3 f 362. R.
  3. Edetique 3f R3. F 3 B R, est momencum Ongula eidem bB a. R insiltenris;
  4. aciem habeneis T A, relpectu ra (propter alticudines ex distantias ubique reci-
  5. Procatas,) et (propter maxnicudinem Zf R2 = = sBR, per 8D. prop. 27. ) D
  6. Pancia Contri gravitaris a 7 ay
  7. 24 fR= Y 453 E 245BR f 28531
  8. cl1B ct e quil 4S Sit
  9. FA, 96 fi R = 18 5 bR = 45
  10. K
  11. =1 R.
  12. 225FR = 455B
  13. 245B R +, 20 5 al1 xjusque respectu
  14. esla 45 f. R t 95B1 C B E1EI B25 fi R = 45 8Biii
  15. F A, momencum, 2E f R 3 = = sB R 2 = = 53 R.
  16. tersi
  17. FsL autem, Semiguacrantalis Onoulae Eori A aB K quadrilineo insistentis aciem
  18. habentis ra, (DTODECK Aa = 2 R, ee AK = aB = a) momentum relpectu ra,
  19. (aut criam, aciem habenES T A, momencum respectu T A,) 3 a R3. Onde, li
  20. demactir momentum Ongulae quadrilinei bB a A, modo inventum, 3 f R3 f L SB R
  21. =553 X -= 3a R3 F 165 R3 = ZsV R = SR; reLINQUICHY MOENEII, respectu
  22. ra Ongula insistentis Frilineo reliquo ABR, aciem habentis r e S a R3 L 1L5 R.
  23. F352 R2 = 9s R = Z C R3 + Z 5V R = 3 53 R. AdcOque (PrOPICC magni.
  24. indinem, 2C R= = E 5VR, Dex S F. PFOP. F7.) Diltantia Cenri cravicaris a
  25. oii 660 R 2 = 18, 52 R (t 4 5
  26. BR 24
  27. R L 20
  28. Iu 225 C R + 45 5V 1 acque d Y A,
  29. 5 Tdeoques ejusdem AB H Ingula aciem habentis ra
  30. i 245, C R A5, S,V 0. l3 ei EOCII SeICB EEO B
  31. Eliste
  32. momentum respectu T, A, B eR 2 -- 5 S R19 1t. it 2), C i 1
  33. Tdemqne ZC R3 =35 R, elt momentum Ongulae eidem A b K intiltentis, aciem
  34. habentis PA, respectu ra; (propter alvicudinos. de ditantias ubique reciproca-
  35. caS:) Adeoque (proprer magnituidiem Z es RB ZISV R, per S R. prOB. F7.) Concri
  36. V
  37. 12(1 2A. B R Z - 4.53 et 5:
  38. EBIVISSIVDIE NI
  39. 1.850R 453 2t
  40. 8. A onfr + um Fm lest ; RIgue, d L A 5, L1131
  41. ( )C R, , dSV, p 9BA C. D2. 1C51 B 1.
  42. 2
  43. 1850 4 52B
  44. 33 27 ek912
  45. 1111
  46. 30a pti 1B so R + 45: Ideoque ejusden, respectu X. B, momeniune de p.
  47. 1r Sd B etR. 95∞.
  48. 12R2 f235 p DIV(3.A d A P s CspontiA: _ 8 sn si esC iVE EINS
  49. Similicex ostendecur; Semiquadpantalio Ingulae Frilineo bBr, aciem habenitis
  50. TA, momencum respectu aciet (ua I A, t a R = 165 R3 = ZSBR2 +
  51. dexespectu ro, 3 a R3 - 35 R3 - 3 S R: Cenirique gravicatis ditanciam a L A eAC
  52. 23 X + 1
  53. 4 5b R + 205
  54. acque d Fa, 153 P-
  55. EF ∞2 225 4 R - 2255 R + 45 5B
  56. 24sBR = 2053
  57. 225 a R - 2255 R. 45SB
  58. Aciemque habenris ra, MOmenEuM respectu P A, 3 a R 3 -Z 5R3 = 35 R; e
  59. respectu, Ho, aejer suae, 3 a R 3s R3 = SBR +5 5 R: Cenrique erarica
  60. ris distariciam. a F A, B R +
  61. 4 5B e 1. teves t3
  62. 4 SB
  63. -
  64. 27 a = 275 R = 9 sb
  65. _ a 24, 18 R
  66. Nam, eodem plane modo rectae ra adjacer prilineum
  67. 279R = 275 R -= 95Bi1.
  68. BBF acque Lhuic simile ec aequa le) Frilincum bK A rectae AF: adeoque idem
  69. ralet eu h, in illo, atque an 2, in hoc
  70. Deinde (PeE prOP. LR. hujus S F.) E ex, Ongulae quadrilinei BBa A, aciem
  71. habeheis ra momenro relpectu r à auseraulr Ongulae Parallelogrammi bBa B.
  72. aelem Matsetiris ra hidinemreum respectu ra; relinguicur Unsula legmenio DB A
  73. insistentis aesem hiabemis xa, momeneum respectur r a. c
  74. IIa aurem Paralletoerammi BBa B Ongula, aciem habentis ra, est Prisma,
  75. oppositarum balium eriangularium, rectis BB, aB intiltentium: Cujus itaque Cen
  76. eri grabitatis distanca d Ta (quippe eadem qua balium criangularium, per prop. 5.
  77. trujus;) elt Z a V = Zh; adeOque dT A, 2R - Zh; QUae, ducta in MaGHIE-
  78. dinem. 16 . b (pex SF. BioP. 17.) extibene. ejuldem momentum respectu aeici
  79. p l11
  80. SU

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. 788. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/851387705:0808?run=74