Leibniz Legible

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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. 759

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: 0.81.

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The machine reads it as

  1. PFOD. XVII. De Calculo Centri Cravitatis.
  2. ideoque a F A, 3 R +. -
  3. =; ejulque respectu P A momencum C vet correlpon. 1go
  4. dens Ongula) Za R2 = 25 R= L ZSB R. Et consequenter, Solidum ejusdem circa
  5. ra convertione factum, Za RP = 25 RP = = sBP; e Semitolidum, Pa R∞
  6. ESRZ = BSBD: Ft, CIrCa F A, Solidum Za RP = Zs RP a sBP; e Seuii-
  7. Tolidum, Za R P - Z5 RF = 3 SBF
  8. Si vero ex momento Ouadrilinei BBa A, respectu + a, vel Y A; auteratur mo-
  9. mencum Parallelogrammi BB Ba; habebitur (respectu carundem r a Y A, ) mo-
  10. mentum Segmenci ABB.
  11. Est aucem Paralleloerammi BBBa (PFOPEEE Ba = a E BB = B) magnieido
  12. aB; e (proxter Ceneri gravicatis a ra dictantiam = B, adeoque d Y A, 2 _ = Z B,
  13. momencum respectu +a, Z aB2 = 2 a R3 = 2 a V R + Z a v = 2 a R.- a v R-
  14. 2a52; e respectu TA, 2 aB R = = a B 2 = 2 a R 2 = = a 2 2 = 2 a R = a V R +
  15. 52
  16. adeoque (subductione Facta) Segmenti BBA, momencum respectu ra (vel
  17. correspondens Ungula Semiquacrantalis,) = Za R = Z5 R= a V R = 5V R +
  18. EaS2 = - = C R= + aV R = = sV R = a 5 2 = 2f R2 = 5B R = 3 a b respectu
  19. TA, - 3 a R2 + 2 5 R3 + aV R + 2 5VR = Z a 5 = E fR2- 2 aB R - 5 BA
  20. F= a B. Ec (propier magniudinem, = a R + s R F av,) diltancia Ceniti sravica.
  21. ris Scemenei AbB, d = a, = R.
  22. ZR - B
  23. foR- 2a52
  24. 4c R + 4a0
  25. fvk 2a5
  26. 4e + 4a2 i a Z A, 3 R +
  27. fok - 245
  28. 4e R F 4aV
  29. bV
  30. 3R + v -- suR-245.
  31. gese t quo: Adcoque momencum re
  32. spectu BV, 2a X2 = 25 R + 35V R = 1 a S = Ze R +. 25~ R = 3 a 52. EL spC.
  33. ciacim, Scomenci A d C. momentum respectu DC (PTOPtEF a = +P, e s V= R,
  34. R = P: Ejusque Cencri gravicatis 3 DC distancia, 16F. (Vel criam, ex Triliner
  35. ABB momento respectu ra lubducto quod Hc ex magnieudine in a V B, nempe
  36. abA = sh R F a bV = - 2a R + 25 R f a V R = 5V R + as; tabecur TEi
  37. linei ABB momencum respectu b V vet Semiquacrantalis Oneula, Z a N = 2 sR
  38. +250R = 245 = =e R + 35V R = 54 5 ; ut priUS.)
  39. Adeoque Solidum ejusdem A b B convertione circa ra factum, est, ZCRP +
  40. avF = 2 5vZ + = X; circa F A, = 2G R P + a v P + 3 5vP
  41. ca bY, de PP + 350, X Ex terpiloliea, temises horum.
  42. 2 R; dt cir.
  43. Elabencur aucem eotibneem Platiotiimi; Momenca respectu Aa, vel Senriqus.
  44. drancales, Ongulae aciem habeptes Aa per prop. 18. Cap. 3. Vel PFOD. 22. CaB. 4.
  45. vel prop. 10. hujus.
  46. Si enim rectae omnes 43, 25, _c, complentes A ra Frilineum, Cvel minua
  47. quae his reptasentatieur, paralle logranma, Prilineum illud complentia, J ducancur
  48. in Tuas ab A a dictancas aE, a 6, dc. rel in his aqua les E =, 66, _c. (eridmentum
  49. arE complentes;) Hlabetur Semiquadrancalis Ongula crilineo A r a intistetis, acjem
  50. habens, Aa. Ouamm ueigne complent, I(d XE ZC a _C. CCH XE Z, L. 66, dc
  51. Paralleloxramma (sel mitrita Priltrrata) EptIS XE, Z C, _c. (rectis, Peur mnutis
  52. parallelosrammis) insilteneia. Hoc es; omnia aB, lacta ex arcubus aricknerice
  53. proportionalibus in reliduorum ad Temiperipheriam tinus versos ductis.
  54. Auc etiam; C incellisacur R a in Paeces invicem aequales, in punctis Z, D, _c.
  55. diridis (adeoque rectas ZZ, D d, ec hoc elt aC, a5, _c. repraesentare Hon qui-
  56. dem arcus arichmerice proportionales, sed qui selpondene Ginybus vertis AV, AC
  57. Rc. arichimetice proportionalibus, puta AZ, AD, aC. HS. 169. adeoque FrMinC
  58. um A Ta consideretur non tam uE Ficurq Sinuum Persorum arcubus arictCLICC
  59. provortionatibus convenientium, ips Aa Paralletorum etam ue feura Meuum
  60. in rectas expansorum, Tinabus vetts alictimetice proportionatibus conremencrum
  61. ipsi ar parallelarum:) eandem Ongulam comiplebine Rrebum iNIOrUM Semigia
  62. drata, seu Frianouta Citoem 7 Z, D d, ec. mhltentia; iosio scilicer a b Cy ast A
  63. de. tmulia caquaa. Hsoc ei duorur a taita veneome prororione
  64. 1b16.
  65. 151. 715O
  66. C
  67. e

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. 759. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/851387705:0779?run=74