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. 672

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. De Calculo Centri Cravitatis.Ca p. V.
  2. in Puncto unico concurrencibus,) ut circuli, EIlipscos, Parallelo-
  3. exammis Plani Solidire regularis, Parallelepipedi, SptiXrX, SphX
  4. rocideos; Cencrum Craricaris hinc determinabicur.
  5. mo ne, ec
  6. sD,
  7. 1D, dc
  8. tDP + ms DP. LnDC, c
  9. Tam, s Pondera Ponderibus respectivis sint A qualia, (puta, uxinque IP.
  10. m F, nP, _c.) e in Diltantiis respectire aequalibus, (puta rD, SD, FD, ec
  11. utrihique,) erutie ucrinque aequalia Momenta ErDP L in sDP + nFDP, ec.
  12. Adeoque, Centrum Graricaris in diridente Plano. per L5 C ap. 4.
  13. Et quidem, ubi sune hujusmodi plura Plana, quorum communis sectio sit Pun-
  14. ctum unicum; iptum Centrum Graritaris dererminatur. Per 26 C ap. 4
  15. Ouodaurem haec enumeratis Lineis et Figuris (et harum similibus) conreni-
  16. ant: Fx earum Detinicionibus manifestum el, aur inde tacile demonttrabicur.
  17. SC +7OLZOM
  18. TOcandum tamen; de Curris Parabolicis, Hyperbolieis, FHlipricis, (quod et de
  19. d harum limilibus intelligendums) diserre dictum este, Axe producto bisccan-
  20. 495; Cnon, quavis diametro:) Nam, nili Punctum bilectionis, lc in AXis vertice
  21. Bilecta linea non eric ucrinque similiter curra. AC in Parabola, Hyperbolx, aue
  22. Ellipseos, Porrionibus Planis, (recta abseissis; quippe de his incelligendum:) oux-
  23. vis Diamerer basin coramque aream bilecans, rem praestat
  24. Dimi aurem has Linearum aut Figurarum species enumerarimus; alias tamen in.
  25. numeras reperiri cercum cst; De quibus Demonstratio non minus procedic; sunE.
  26. que sub propolirione generali comprehensx. Nobis incerim famoliores aliquot
  27. enumerasse lutticie.
  28. Ponderum, quae ex eadem parre Punt, quantacunque inxequalitas, aue quantacun-
  29. que rarieras distantiarum, demonstrarioni non ollicit: dummodo in comparandis
  30. quae utrinque Tunt, si aequalicas. Sed et, in prop. sequente, major adhuc erit va-
  31. riandi licentia.
  32. 1P
  33. PRC
  34. Iem; Si Finea vel Figura quaevis (plana, curra, Colica,) ila Plane
  35. diridatur; ut snscla us senenet pallicuta, lingulis alterius re
  36. sectire cumtous alulee. Centrum Craricaris est in Plano
  37. diridente.
  38. MP.
  39. n
  40. nomodemotdmode nide.
  41. DOra; Si CX Una parTC POndera IP, mP, ne, sine in distanciis rD, SD, LD: ex
  42. altera vero, Ponderar P, SP, LP, in diltantiis VD, m D, n D: Vccunque (propter
  43. Pondera diltantiis reciproce proporrionalia) comparara comparandis respective
  44. aequiponderabune. Adeoque, cum lingula singulis respectire tumpris aeguiponde-
  45. renC; etiam omnia omnibus aequiponderabunt: (per I2 Pl. 5. ) Erirque Proprerca
  46. Cencrum Craricatio in Disidence P1an0. Per 15 Cap. 4.
  47. rsor etui
  48. se se
  49. Sersesitiee
  50. ilient isust ciaul

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. 672. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/851387705:0692?run=74