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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. 717

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: 0.80.

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The machine reads it as

  1. P.
  2. listau
  3. ad
  4. au
  5. R
  6. 1,d
  7. 2
  8. PFOD. XV. De Calculo Centri Cravitatis.
  9. describatuir peripheria bB, (expositae BB MMMIIIS, de Similitex POLica) cransibit hXC
  10. per Friangulorum SInGUIOTUI CentTa BTAVIIAUS. Cujus Haque cum linsula puncta
  11. 1 e
  12. Fig. 258.
  13. 8 R2
  14. C. B, diltaciciam Cencri graricaris Semieircudi (in axe suo polici) a Cir.
  15. culi CenErO C.
  16. Corollarium, de Circuli Sesmento; constat ex 27 Cap. 4. Ouippe cognitis, cum B.
  17. magnicudine, cum Centro graricacis, Sectoris CB AB, vel C Ba B, _ Prianguli
  18. BB C: Cognolcitur inde cum Magnicudo cum Cenerum sraricatis Sesmenti BB A,
  19. vet BBa
  20. Idcinque in altis Circuli porcionibus oltendetur.
  21. vitue
  22. Exemoli gracia. In exposito Circulo, lic Racius C A (vel C.B) == R: Inte- C
  23. Era Peripheria, P: ArcuS B A = a: Adleoque BAB = 2a: Chorda B A =c: F18.
  24. Sinus rectus BV = 5i adeoque Chorda BB = 25: Elujusque ab A verrice diltan. 259,
  25. 100.
  26. (aequalibus ab inricem distantiis remota) aglaliter onerentur (aequalibus utique
  27. Triangulis, gnorum Centra grarscatIs Lultinere MIITCISSAMTUL:) LaCM etI areus bB
  28. Ec onulti Centrum praritacis, atque ipsno Sectoris BC b, POI 10 Cidp. qu l’ac1o
  29. itaque; ut chorda B B ad aicu luum, hoc ell, Ut CHOra BB ad alcum luum:
  30. sic CCn ad radium Cib, hoc Ci ad ZCB: (Hoc est, CC = 2 R: ) Erit C
  31. Centrum gravicatis Arcu VB, (Pex PrOP. praeced.) aleque e (per jam demon.
  32. Strata) Sectoris BC. B. Duod demonstrandum erat.
  33. Hloc elt, speclau Semicirculo; SE SemiperipherIa = L; dd C HOFCaM LUat
  34. hoc ett, ad circuli Biu 2 R; sc duo Trientes Radtii, 3 R; ad
  35. na, (hoc elt, Segmenti DB A. alcitudo, vel expotiri arcus B A sinuS ver LuS) A:- V.
  36. ejusque Alciudo Teu distancia d bale, V a = 2 R = v== B; eju (que a CeHEO C
  37. dictancia VC == N; (eriique a = R ~, S V EL supra Centrum C, adeoque BAB
  38. minor quam Semiperiptieria; vel N =V - R, R V EE intra Cencrum, adeoq
  39. B AB major quam Semiperipheria; rel denique n =0, R V sic in Cenito alt
  40. que B AB Semiperipheria:) Trem a = 5 = e; a + 5 = f; X + v = 2.
  41. CXX X 3
  42. Est

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. 717. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/851387705:0737?run=74