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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. 531

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. nist
  2. Tun
  3. udi
  4. a Y C F 0
  5. proporcionales: Iiem rectae CZ. = 2 a Lig. 10. rectis B V LB, 7. FL Y
  6. rectis 2 Y quadrantem Cib C complentibus proporrionales. Omnes isitur V Z ip
  7. :sunc ut omnia rectangula VZ. XZ Y Ag. 7. Oux iterum in 2 a du-
  8. Cae, sunc nchorum rectangulorum momenia respectu recta Bb fis. 7. Ouancum
  9. aurem st horum omnium momencum sic colligimus.
  10. 66. Incellieatur primo super planum crilinet C. Z A F Fg. 7. erigi semicirculum
  11. CBF ad anoulos rectos; ita quidem ut C F diameter Temicirculi, congruat C l
  12. laceri crilinei. Deinde Super idem planum, moreri intelligatur idem semicirculus
  13. inrariaro angulo, a C F ad CiB, et sic deinceps ulque ad A; hoc motu describens
  14. Semiceylindrum: Duem Semieslindrum si secet planum rectae AC perpendiculariter
  15. insistens, abscinditur semiestindei Portio (Tuper C A F criangulo jacens) ex inti-
  16. nicis Paralselosrammis conslata, quorum bases intelligantur ordinarim applicata
  17. in balis Semicxlindricae semicirculo, alcicudines arichmetice proportionales trian
  18. sulum C AF complentes. Sin cundem semierlindrum secet superticies currata
  19. perpendicularicer insiltens currae CZ A, abscindetur Semieslindri Frasmentum
  20. Tsic enim, libet, distinctionis caula, vocare) Super CZ A F crilineo misto jacens
  21. ex Parallelogrammis icem intinicis conslatum, quorum bales incellixantur caedem
  22. 2 L oedinacum applicala in temicireulo, alricudines vero LZ crilineum CZ AF
  23. complentes.
  24. 67. Hlaec autem duo Colida, nempe Portio semiexlindri, plano abseilla, ee semi-
  25. exlindri Frasmencum, absciltum superticie currata, sunt quoad magnitudinem in
  26. ter se aequalia. (Propter, cum binas qualris rectas Z Y in base, utrinque a medio
  27. aequaliter remotas, inricem aequales; cum binas ubique his balium rectis conoru-
  28. entes alcicudines, sire in trilineo misto, sire in trianulo rectilineo, simul aequa
  29. les rectae AP.) Vrrumris Eiquidem Semiestindro ejuldem batis, semialto, X
  30. quale.
  31. 68. Sune autem eadem duo Colida, quoad momentum respectu AF recta, in-
  32. regualia: Propter cranstatum id torum quod in alcero infistic bilinco, B A, ad si-
  33. cum BC in reliquo.
  34. 69. F.I autem Portionis, crianeulo rectilinco incumbeneis, momentum respectu
  35. AF recta, 3= D =~ 2 = = D F ZXS ∞. (FA enim CemicirculuS F BC =5D F
  36. S Temialcicudo sA F = a P, adeoque porrionis magnicudo in D P=; qua in 87
  37. distantiam CenCrI BraviCaLS ab A F (Det 557) ducta, dat 336 D = X 2 POrtio.
  38. nis mOmEnCu.) Frasmenci vero, crilineo misto insistentis, momencum re-
  39. spectu ejuldem A F rectae, est (per S+OS) 1 R24
  40. R
  41. D2 D
  42. Unde h auteratur Porrionis momentum 356 EDE, habetur 356 2 P 2 = 3 D
  43. momentorum ditterentia.
  44. 70. Pr contequenter (eum haec monencorum disterencia non aliunde provenin
  45. quam ex segmenei bilineo BA insistentis in sicum BC traustatione,) li illa mo
  46. mentorum disserentia incelligatur per magnicudinem cranstocatae parris divila, unde
  47. habeacur mentura promorionis centri graricatis quancum ad AF rectam; hujus
  48. que semissis, distantia utique ejuldem centri d Bb, in eandem magnicudinem ilerum
  49. mulciplicata; prodibic Dividui semittis, nempe ,i D 2 p 2 = + Da, monientum
  50. istius cranclocarae partis, bilineo BC intiltentis, respectu rectae Bb.
  51. 71. Deinde, super criangulo C. BB rectilineo, incumbit estindri quadrantalis
  52. porcio, cujus balis C b C quactrans circuli, alticudo Bb = = P; momencum vero
  53. ejuldem respectu recta Bb. est is D3 P =, i2 DE D2. Quod eodem modo collioi
  54. Tux quo Supra (= 35 de segg. colligicur momentum ejulmodi portionis F L v
  55. H8. 5. Cum enim illic = 39 habetur =, D + =, 8D. D momeni augmenein (ob
  56. dictae portionis ibidem translationem) respectu recta P A, (si nempe incellisacur
  57. YF A planum horizonti parallelum) vel rectae FP (B Seilicet planum Y F X ho
  58. rixonti paralletum incelliratur:) Adeoque ejusdem lemiltis L ∞
  59. 6D3F, DOI
  60. tionis dictae momentum respectu recta LZ vet Z. (prour haec vel illa incelligatur
  61. horizonci parallela,) polita quidem (quod illie lupronitur) segmenci alcicudine
  62. T0 = ZD: Onde, li posira tuistet XV = à P (Prour jam in eatu limili SupponiinuS
  63. super aequalem balem porcionis alcirudinem Bb=
  64. L) Fuisset ejusdem momentum
  65. respectu rectae YZ ret Y on 56D3 P= si DEP: Ouod isicur est momencum por-
  66. XX X 2
  67. riOnIS

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. 531. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/851387705:0551?run=74