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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. 924

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: 0.88.

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  1. 924
  2. De Calculo Centri Cravitatis. Cap. V.
  3. Fig. 323. Hg. 323. noruralis Fat CS A quanTumVIS producta, II GUa SMIIII Palles aequales
  4. quorlibet (d, 58, 5a, ec. adeoque Cs, C8, C10, ecc. arithmetice proportion alo
  5. e junctis d A, A A, _EC. qualeS PONanEE SO, AO, _C. RriE A0O curra FIy-
  6. perbolica, cuslis Semiaxis cranlvertus C A, et C. A axiS conjugatUS; spatiumque
  7. C. A Oa hyperbolicum complebunt rectae s0, ecc. ipsiss A aequales. LC cmo
  8. Pramus in Praclatu De Curvarum Eoduvoes, iterumque mOL aet Pr O. 32. HUSIIS CapL
  9. Fi8. 324. 2. Si Exponatur, H8. 324. A0O Parabola, cujus Axis interceptIS A _ D, AIL.
  10. is V
  11. jectum, rectaque axi transverso parallela clausiim. Puta, Si ExPOLII rectX C A
  12. nacine appliCa DO, iag B en e OcCUTaL M H; Cal Ealista i
  13. vertice AET, = DO, dirisa utcunque in t; cui aequalis ponatur C. d a (Fx
  14. 323.) Similicer in s’dirisa; tiatque angulo D F O, aequalis C. a A, decerminans (in
  15. recta ipsi C Sa normali) rectam C A; e junctis s A, A A, aquales PONantuESO.
  16. AO, IpE C A parallela, tiacque (uc modo dictum cst) A0O Hyperbola, cujus
  17. Semiaxis tranlversus CA; lEque alymptOt C.M M: FxIE, OT, (F15. 323.) spari-
  18. um byperbolicum C∞O a, ad Co Mtrianculum; sic (F18. 324.) AOO curva pa-
  19. rabolica, ad ejus axem intercextum AdD: Tremque, ut (illic) C s OA, ad C. dm;
  20. sic Chic) A0 curva parabolica ad ejus axem A d; e sic ubique. Hoc demonstra-
  21. mus in eodem De. Eodavoni Hactatu; icerumque hic monemus ad prop. 37. hujulce
  22. Cap. V
  23. 3. Si convertione Parabolae AOD cirea Arem A D deteribatur Conocides
  24. Parabolicum; ex convertione Rectanguli circum seripti AD O F circa cundem
  25. axem deseribatur Cylindrus: Fric, Si momentum spatii Byperbolici CAO A, ac
  26. momentum criansuli C LM, respectu ejusdem CA:; seu, ut erecta Dreula super
  27. illudu ad Oneulam erectam aeque altam super hoc, quarum communis acies sit ea-
  28. dem CA; seu, ut Solidum ex conversione illius, ad Solidum ex conversione hujus,
  29. circa eandem C A; (sunc enim hxe rationes, exdem omnes;) Sic Conoeidis hujus
  30. paraboliei supersicies curva, ad duos trientes superficiei curva Cylindri circum-
  31. scripti. Vel etiam (PrOPTETCAOA = CAOD= AOD.) OE Momentum Re-
  32. ctaneuli C. AOD minus momento Semibyperbola AOD, ad momentum Frian-
  33. suh CAM, (respectu ejusdem C AD;) Sic est C ondeicis Bujus superficies Carva
  34. ad duos crientes curvae supersiviei Cplindri circumscripei. Quod ibidem demon-
  35. stramus, acque hic monemus ad proP. 3F. hujus Cap..
  36. 4 Sed; Poticis (uE SF, PrOB. 32. tujus Cap. V. ) AC = 5 = 3F, Latereque
  37. +
  38. recto = L, AD = a, DO = C B = B = Y = 2, AO =CD =0 = = 7
  39. + a = 5 f a = Y: s2 + = B2 = V: = 22 + = B2, aM = V = B 2 = B Y =:
  40. Momentum Seri Byperbola AO D respectu recta C. AD (urpote Semiquadrata
  41. omnium DO) est
  42. 27
  43. d
  44. =L; (Ouod, uc ibidem demonstracum, altiminus

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. 924. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/851387705:0944?run=74