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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. 701

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: 0.84.

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

The machine reads it as

  1. D0
  2. et
  3. Prop. LII. S Cuam canir ravitatis
  4. Cunque tum BB, C C, D d, dc. (similes arbus) Sineradiis suis XB, ZC, Z D.
  5. proporcionales rectae BB, Cn, Dd: eruni ha rectae arcubus illis proportionales:
  6. Sin Conrertionis aris Z, LecLISALALI LIICAHIVe COn-
  7. vertendam: limiliter oltendece, Segmencum LFII.
  8. XDS, seomento facti ex Conrectione ZD d; e re
  9. liquum ZBB, reliquo XBV. 2u dilterencia dit.
  10. ferencia aequalis; FF ucrario (per demonstrata ad
  11. PrOP. PracCd. ) ipLi Prilmatico (Sorido, vel Superticici,)
  12. BDr 2. Duod icidem crac demonstratetiim.
  13. BB
  14. PBB PB
  15. PBB, vel B~. Dempe quole B vel B, in
  16. P ducto.
  17. Tem; daca magnicudine Factae exposita convertio. 1
  18. BBDEBBCC
  19. B) PB(P
  20. ab axc convertionis.
  21. P) PBB(BB
  22. P)PB (B
  23. per P dirito, emersit.
  24. Denigue; Bisectis D a in M e DS in ; ductisque per conrectionis adent vel C.
  25. AdEOgUO, PFOPteE Cn ipSI Cic aequase Del Conttructionem; crunc ee reliquae re
  26. liquis, aequales; et omnes omnibus: (Ce, BD ab figura (lire solida sive su-
  27. perticiaria convertione tacta ). ip B Frulto; adcoque e (per Praeceden-
  28. tem) ipsi B Dr n 3 figura Prilmacia lper candem vel aequalem balin Alcitudi-
  29. Sc. proportionales; tum (proxeer limilla ( atSa) s LB, AC, XD, ec
  30. nem habenci Cin, ipti Cc aequalem. Ouod erac demonstrandum.
  31. magnicudine quae sic B B, vel B; atque
  32. Ceneri graritatis C, ab X convertionis
  33. axc, diltantia; adeoque ee peripheria
  34. CC longirudine, quae sIFP: datuIT Cx
  35. potita convertione tactae magnitudo
  36. Llague; Dacatiura Planx lineaere exposica (BCD)
  37. B
  38. F
  39. nC; puta P BB, vel P B; ipsaque conrertae magnitudine BB,
  40. vel B: datur arcus (speche expolici) lonsiudo ~: (nempe
  41. quod ex P B B vel D B, Per B P vel Pdirio emersit) adeoque
  42. et radii quo deseribitur: quae eMt dStaMia CONCTI BraVILALS C.
  43. Iem: data P BB vel B magnicudine tieura convertione F
  44. factae; _ distancia ceneri praricaris convensa a conrextionis axc;
  45. adeoque de quae ab hoc delcribicur Peripheria Z; Datur conver-
  46. exe magnicudo PP vel Nempe, quod ex PBB, Vet LB,
  47. Ongulae aciem X, planis Z BI, X a: Firime, ip illo, Contra 13
  48. avitatis liveri
  49. et
  50. arcuum ut Bh, Dd, convertione factorum: in doo, rectarum lingularum ne, B B l43, 144
  51. Ds ungulam constimentium, (per 2 8 3 hujus:) Adeoque in illo aFCuI CO. -43, 140.
  52. mune omnium, (hoc etC, Superticiei vel Loliat COnVeKtONE TaCI;) I HOC, Com
  53. Ex Plana (lincare I plano) circa rectam in eodem plano deseripram: Salrem Fis. 148.
  54. Icta iplam non lecet.
  55. Fxempli SCalta. SIt A DB semiparabola; cujus maeniindo ad maenicudinem L.
  56. PEEE3
  57. Darallelo.
  58. din
  59. 1FIS. 142
  60. mune omnica rectarum, hee ngula Supersscialis La e,) cencrii star
  61. catis: Fe 2, Bap. Plaled. Ia Cla ALaHIa.
  62. Aeque hinc constat generalis Methodus exhibendi Solidum conrertione figu. H.

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. 701. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/851387705:0721?run=74