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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. 1058

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: 0.86.

Original at the GWLB · Page image · Annotations (IIIF) · Download text

The machine reads it as

  1. Cap. XV.
  2. Lpilocus, ex Miscellaneis.
  3. Etis ita Calculo praestructis; Alticudinem Primam
  4. HP, hoc cltN M-F M P u guoliber Rhombo, vona-
  5. mus =n; adeoque NYM = =n. Item N P pro parti
  6. culari aliquo Rhombo, =a; adeoque NN = = a
  7. LtI scagu sI AOHDO IIIO MR ==V: NM9
  8. Adco.
  9. NRG: =
  10. que MO =V: n - a 2: Cujus quadratum NO q = n =
  11. =a 2 in NR = Zalductum, exMbet n’a - =a xequale
  12. que duplum n= a - a3 aequale Parallelepipedo
  13. aesutalem Parallelepipedo circumseripio Cylin-
  14. dum, lic inseripeus Cylindels da inleriptum Cylin-
  15. nales:) EAque (per prius polita) Cylindrus V aequalis Solido Rhombo qui tit de-
  16. scentu ponderiss ver spalium V; hoc elt, aequalis crienei Cylindri huic Rhom
  17. b0 circumseripis. e Lalaseepcu enemepum Cyindro illi, X
  18. Parallelepipedum circumICp CStHOO CN C W; e Parallelexipedum cir-
  19. cumscriptum respectiro Rhombo oaOMNOL, n’a - a; cum itaque illud lIE
  20. hujus trienti aequale, erit W = = n a - = a decogue 3 = n d- a. Quae qui-
  21. dem A. quatio respondet. Solido Rhombo facto ex descensu ponderis S per primum
  22. Spatiorum X, 2, 3, ecc.
  23. borum Colidorum respectira incrementa,) 6V == n a - a respondebit descentii
  24. per spacia duo; 9u =n a - a descentui per cria; et sic de careris. Hoc ett,
  25. Polito n = 100 et n = F
  26. Paralle lepipedo circum seripto Cono NT MO; hujus
  27. quod rori Colido Rhombo MINO P circumeriba-
  28. cur; Cui paralle lepipedo si incelligatur Cylindrus in.
  29. seribi, eric hic Priplus Pehombi lolidi.
  30. Incelligantur porro, Cylinari ON Spatia L, 2,
  31. 3, 4, erc. cotidem esse Cylindros aque altos et (u-
  32. per xequales bales: Et Bonamus Balis diametrum
  33. n = 2 n; acque alcicudinem item TV ==u
  34. qux in diametri basis quadratum ducta, exhribet
  35. Fst aurem, ut Darallelexipedum ad Parallelepipe.
  36. elie
  37. drum (propter aequales alcicudines et bales proxorrio-
  38. quale crienti Parallelepipedi Cylindro huic circumseripti. Sed, per modo ostensa,
  39. E conlequenter; (cum, propter illa spatia aegualta, aguasa eltam line Khom-
  40. Dum Sde
  41. scendie
  42. Spatia.
  43. 5
  44. 4 (A quarioneS re
  45. spectirae erun
  46. n a.
  47. et
  48. T2W
  49. 18V
  50. 10000
  51. L. G. 2t
  52. .
  53. Ouibus aequationibus retoluris; proxter cognitas quantitates n, un reverietur quan.
  54. titas a; hoc elt respectira altitudo NP pro quolibet Phombo: Lit consequen-
  55. cer, quantum ea defieit ab alticudine prima; hoc est, quancum alcenderie interea
  56. Dondus P Tupra primam ejus policionem.
  57. Aquaciones illa sic resolurae exhibebunt nobis subjectam Fabellam. In qua
  58. Columna S numerat spatia per qua descendisse supponitur ris seu pondus S.
  59. A. extibet respectiras aequationes his spaciis respondentes. A, respectiras alci-
  60. cudines NP pro illis descensibus. P, harum complementa ad alricudinem primam
  61. 200; hoc eltu menturam alcentuum ponderis P, descentibus illis respondentium.
  62. D, disterentias complementorum continue consequentium; hoc est, quantum a(.
  63. cendexic P propter descentum S per livguls spatia F, 2, 3, ec. respectira. Nempe,
  64. Dum
  65. aC.
  66. C.

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. 1058. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/851387705:1078?run=74