Leibniz Legible

Machine transcription of the Leibniz Nachlass

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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. 713

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. il
  2. PTOp. ZIV. DeCalculo Centri Ceravitatis.
  3. 4) c∞ (= P. ) CA (= A = b. d. b.. A. C.
  4. Fst autem, in ArCUS AXC AC; per PrOP. 3 hujus. Ergo, in illius eo Puncto
  5. quod d Diameero DCD, ejulre puncto C, (circuli cenero,) ita diltat. Per DTOP. 26.
  6. Cap. 4. Nempe, ut a ad 6, SiC R ad G. Hoc elt, ut ArcuS B AB, ad BB Chor
  7. dam; sic C. A Racius, ad Cenerr Crrariraris a Cenero Circuli diltantiam, C. Gr. Ouod
  8. erac propoticum.
  9. Fxoonacur deinde, Arcus circuli Semiperipheria major, BaB. InVentO, ut B.
  10. prius, relidui arcus B AB cenero graritatis CF: erit (propier torius Centrum gra-
  11. vitaris C, per prop. Shujus) expolici Cencrum graritarisy, in GC continuata:
  12. Aeque uc Ba. B, ad BAB; SC C. (, ad CY: (per prOP. 27. Cap. 4.) sive, ut
  13. a = 2 = an 2d a; AC C = = R, dd y = (= x
  14. = =) = R. Adeoque ut a 2d
  15. C, BC RadY: Vel UE Ba B ArCUS, ad chordam suam BB; sic Racius C aq 2d C 7,
  16. distantiam Ceniri pravicatis areus expoliri, a cireuli CenHO C. Quod erat propoti.
  17. tum.
  18. 8. a:: G = = R. 3 = = R. 2. C:: R. Y.
  19. Speciarim vero, in Semiperipheria, (quam ad urumris duorum eatuum relera. C.
  20. mus, perinde eAt;) cum lic (propter c=D,) cF =DP; li hoc per Areum
  21. a= a = = ~ dividacur; exit = P) DP (2 D, peripheria Cencro grariracis descripta;
  22. cujus icaque Radius R, hoc elt, , est Cencri Cravicatis d Circuli CentrO
  23. dictancia, C6 =6 =
  24. a. C:: =2. D = 2 R:: R. 6-
  25. ∞ A
  26. itam Tuam, qua CAt Racii C. A ad C C distanciam cencri graviratis in ipta C A:
  27. Daca rationum una, datur altera. Data vero unius Areus (cujus ratio ad tocam
  28. Peripheriam nora incellisatur) ad Chordam Cuam ratione; dabitur ejuldem, adeo-
  29. que corius Pcripheria, ad aliam quamris Chorcam, ad eoque ad Diamecrum iplam.
  30. Iiem illud de Ingulis, Solidisque aux superticiebus convertione tactis, simili-
  31. F
  32. tex parer. Si enim Superficiei Solidire b ddb (conrentione Linex Planive BD Fie
  33. 15
  34. Corollarium iem pacet. Cum enim eadem sic racio Areus B AB act BB chor. D
  35. facti) cinguli Arcus BBB, dDd, (plano X BD bisecti) extendi intelle a
  36. tocidem sibi aequales rectas BBB, SDS, eildem plani X B D punctis du alSI
  37. rectos inlistentes, acque ab eodem bilectas, (xesttale Oneulam, vel ex euabi
  38. compolicam complenies; per prop. v osuo a
  39. pI

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. 713. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/851387705:0733?run=74