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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. 934

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: 0.89.

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The machine reads it as

  1. ries Aiqualiu
  2. deoque, sin sic in C; erit (ut pri-
  3. US) Sectio per n u, Cadem qua per CiS
  4. hoc est sOA Genirix hyperbola (Drop.
  5. cexd p = - 0.
  6. Sin Licin A vel a; adeoque C n = C A
  7. S: FrunE 8O9 - Cn 9 = 52
  8. B2 - 5. = = b. = p 3. Oua ilaque
  9. Tune quadrata ordinatim applicatarum in
  10. criansulo, (utpote Series Sccundano-
  11. rum;) seu pocius binis criangulis com-
  12. munem verticem A habentibus, quae HunE
  13. rectis decultancibus cundem anoulum ta-
  14. cientibus quem FaCIUnE A CymPEOER SC Mu-
  15. tuo in plano decultantes.
  16. Si a Licinter C et A, vel C e 2; 2-
  17. deoque Cin = 8 MINOF quam S; FrUME
  18. 50g - C n9 = S2 + =, B - 0 = p 2
  19. quadrata ordinarim applicatarum ad con-
  20. jugatum axem hyperbola; (quippe sc
  21. ucta serie Sccundanorum:) cujus Semi axis transversus elt V: S2
  22. 52: (Nempe, quae puneto n inEiltic ordinarim applicata in Semicireulo Aa;)
  23. Latuo rectum, F V: S = 02, seu = V: 5 - 02: alque anis conjuencus, ipla
  24. n p recta.
  25. Sin sit extra Solidum, puca ulera A vel as ladeoque plani secantis pars mecia
  26. etiam extra Colidum,) Planum secans in iis punctis occurret ubi eAt sO (vel 50)
  27. =Cn = =S V; (quae itaque puncta lunt rerrices oppolui:) puta, V, V. Acque ut-
  28. cra haec puncta, exiltente r intra Tolidum, erunt 1. = dd9 = dv, 9 = 509-
  29. Cug = 52 f = B2 = 02; hoc est (propteris majorem quam S,) = B - 0 + S2
  30. =P. 3; quadraca ordinarim applicatarum in Fyperbola (seu Oppolicis hyperbolis)
  31. ad tuum axem: (utpore Series Secundanorum muletara serie A qualium:) Cujus
  32. Axis tranIvertuS est 2 Y = L, et Lacus rectum, 2. V T. Centrum
  33. vero, ipsum n; acque AXiS, XH; Fran(rer(uS, V X V.
  34. Omnisigicur hujus Solidi Sectio, plano quod Axi sic paralletum Pacta, est, vel
  35. Oppotita Friangula ad eundem verticem, nempe si per verricem hyperbola Cic.
  36. nitricis; vel Hyperbola Opposicx, si alibi.
  37. incelligatur denique, ubiris in Hyperbolae Genitricis axe A a, quancumris pro-
  38. Fir. 218. ducto, tumi punctumn; unde ducacur (cui insistat sectio) in plano per AXem
  39. Colidi, recta n r, Tolidi Axi Ci s non parallela, sed cidem alicubi occurrens.
  40. Fc quidem s sumatur n in C; fier sectio per Centrum, de qua jam supra di-
  41. aum est: In qua quactraca ordinacim applicatarum sune m = 5 F , h - , n2:
  42. Adeoque sectio ipta, vel Hyperbola, rel Paralleloerammum, vel Filliplis; prout
  43. in minor est, rel aequatis, vel major quam B.
  44. Jam rero, cuiris peaedictarum Cm, parallela incelligacur n n. Sicque C. n. (= M X)
  45. JL F2 = F V =; Curi prius erac 5 m = v = n2 = av =. Adeoque d n -
  46. dm. FMn, vel dm = m =, vel ma - sm, (pro vario sicu punctorum m, X; )
  47. hocett, aequalis summae vel dilterencia rectarum sm, mr; hoc etu iplarum
  48. De Calculo Centri Cravitaris. Cap. V.
  49. Fig. 217. hie omnia quadrata rectarum punctis e insistencium (planum complentium, )
  50. DUta H , = 5Og - 5 p. g = 5Og - Cin9 (PFODTCP S H = C n.

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. 934. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/851387705:0954?run=74