Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

[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. 723

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: 0.85.

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

The machine reads it as

  1. eFOD. Z. V
  2. De Calculo Centri Cravitaris.
  3. vel (PrOPter 2V R = 0
  4. a
  5. FE speciacim, in Semicirculo A DC, (PrOPIer
  6. V = 2 R, et a = EP,) distantia Ceneri graritatis ab Ae cst -. In Ouactrante
  7. veco ADC, prOPteC, D = _, ee a = + X) distantia Ceniri gravicais ab A a, eA H.
  8. milicer
  9. Est igitur, (propier magnicudinem, Za , per SD,) Sectoris BCA, respectu Fis.
  10. rectae A a Momencum rel Ungula Semiguacrantalis, (ducta magnicudine in di- 159,
  11. Ptanciam,) SC2 R = ZV RZ. Adeoque Solidum incerra convertione circa Aa de- 160.
  12. (criptum, Z02P = ZV RP; e convertione dimidia, +02∞ =ZVRP. FL, spCcIa-
  13. im, Nlomencum Semicirculi AD a respectu A a, vel correspondens Ongula, 2 R3:
  14. Fic Cotidum convertione circa A a factum (nempe Sphara intCBrA) 3 R =P; et
  15. Semilolidum, Scu Femisphaerium, 3R2 B.
  16. Ouxque Quadrantem spectant, lunt eorum Semilles. ile
  17. Sin, ex hoc Sectoris BC A momento 30=R =Z V RZ; auteratur momentum (re.
  18. spectu ejusdem Aa) Friansuli A BC; noc est (propier Balin AC = R; alcitu-
  19. dinem BV = - 5, adeoque d Base AC distanciam, =5,) Es2 R: Habetur, legmenti
  20. AB A, momentum (respectu ejusdem Aa) ZV R 2 = ZS R = EC=R - 752R -
  21. 5vR. Duod per magnicudinem se P (per 5C,) divitum; exhiber Ceniri pra
  22. vicatis ab Aa distanciam = 22=. Solidumque ejusdem inteora conver-
  23. sione circa A ay JV RZ = 5528 = 3 v Q; et convertione dimidia, sV R~ -
  24. 252 = =V2F
  25. Exsimilier de seemenro a Ba muraismucandis: Dura, subticuris a pro an et B
  26. PrOV.
  27. Deinde, Trianguli BV C, dictancia ceneri gravicaris ab Aa, (per 6 hujus) est R.
  28. LBV = =5. Adeoque (propter magnicudinem, ut prius Z s. N; hoc elt, Z 5 R - = 5V.
  29. vel 25V= =s R prout supra intrave Centrum fueric;) ejuldem, respectu recta
  30. AC Momencum, vel Semiquadrancalis Ingula, CstJ s X; hoc est 3S2 R - 5 52V
  31. vel 352V -352R, pront lupra intrare fueric. Adeoque Solidum interra conver-
  32. NE
  33. Tione circa Aa lactum, elli p: (hoc cll - s. P, ve v -
  34. 6R S2P, PTOuE
  35. uprave intrave sueric:) Ey semiconvertione, i hoc est (ProuE supra in.
  36. Frave Luerie)
  37. 12 X
  38. 1D, bet v = R, . 4
  39. 12X
  40. IIludque Frianguli B V C momencum vel semiguadrancalis Vngula, momento
  41. vel Ongula Temiguadrancali Sectoris BC A (respectu ejusdem A a rectae,) Subla-
  42. lacum E Supra Centrum tuerie, vel addicum sintra; exhibet Nomencum (respectu
  43. ejusdem Aa) vel semiquadrantalem Ongulam correspondentem, Senusesmenti
  44. BV A. Hoc Cst, Si momenco Sectoris BCA, 502 R = , y R (per 5O) aute.
  45. YYY 2
  46. FaCUIE

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. 723. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/851387705:0743?run=74