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. 649

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: 0.90.

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The machine reads it as

  1. ex
  2. De Centro Cravitatis
  3. Si circa rectam quamris, ut Axem, (sire ITorizontalem, sire uicusgne
  4. Obliguum) roTetuE Grare; ea ratione ponderant ipus puncta sin-
  5. sula aqualiter grarata (aut illis applicata
  6. sant à Perpendiculal Del eLlatO.
  7. Adeoque: Si inxqualiter grarata; in ratione ex Ponderum (sire Cra:
  8. raminum) ee Diltanciarum racionibus composita.
  9. EEprimum Axis XS, in plano Horiconcali; acque in eodem Horirontali pla. FiB. 50.
  10. Duo puncta quoclibet A, B, F. Onde ducancur ad Axem normales AC, BX, ES:
  11. Fug. 9
  12. Pondera xequalia) qua di
  13. (qux iraque, per det. 4 FI. 3. plano per arem perpendiculari normales sunt
  14. Dunctolum ab eo Plano distantiam menturances.) Cumque, Der L hujus; non
  15. zontem rectorum;) trunt AC, DL, L.5, condem Labra, eica iua respectir
  16. Possine alias A, B, E, puncta, quatis locando terri; (circulorum peripherias Cen-
  17. Eris C, Z, S describendo; et quidem, propeer sicum Axis Hlorizoncalem, ad FTori
  18. Centra C, Z, S, TOTaIK: AdeOque, pet l2, 13, Cap. 3. A, B, F, puncta, in codem
  19. ACy BX, F.S: Tnxqualiter verograrata; in ea quae exhrarum, et Ponderum ra
  20. cionibus componitur. Ouod crac propolicum.
  21. Dcinde; ManENEC AXC XS, in Licu FTOriZ MCa, (quo plana circuIOTUI FOTA
  22. eione tactorum, sint adhuc ad florsLe Lecla. J Cxa Pa LLBLILBIICatC.
  23. plano orizontali posita, aegualicer, caracas ponderane in ratione diltanciarum
  24. 118.92
  25. puncta Gravis quorlibet, an B, 2: (sire in eodem, live divertis Planis, perinde. est:
  26. Onde, ad Planum Horizontale ducantur perpendicutares; puta a A, BB, cF. IH.
  27. celligatur aurem, ver iptum Axem XS, crisi Planum ad FTorizoncem perpendicu.
  28. lare; acque ad hoc perpendiculares rectae, a n, BE, 20; vel his aequales (urpore D~
  29. Hoc est; (per jam demonstraca) in rarione distanciarum A CD A, L. S, Vel 3H
  30. BE, E0, A Puncta sint aequaliter gravata; vel, si inaequalicer, in ratione quae ex ha-
  31. rum e Ponderum rationibus compolcur. Ouod erat propolicum.
  32. Perpendiculares ad idem Planum, a A, BB, EF. Similiter omnino ploceltet de
  33. monstracio, nili quod Circuli rocarione deleripri, qui prius crant ad Forizontem
  34. rectus nunc tranc obliqui; adeoque propter planorum Obliquicarem, minuuntus
  35. Ponderum Momenta. Es autem, proprer cundem omnium axem, eadem cireulo.
  36. rum omnium Obliquicas; Adeoque in eadem ratione minuuntur Ponderum Ho
  37. menta, Per 26 C ap. 2. Quam itaque rationem inter le haberent Momenta Pon-
  38. derum in A, B, F, a B, c in crectis circulis; candem e hric habebune in circulis
  39. vata; vel si inaequalicer, in ratione quae ex harum et Ponderum, rationibus com
  40. rallela paralletis Terminata) AC, BX, F S. OAtendetur (CX PrOB. T8. Cap. 2. ve
  41. 23 Cap. 3.) tancundem ponderare eadem pondera, in an By C, atque in A, B, P.
  42. Denique: Sic sicus Axis ad Horizontem uccunque obliquus: Reliquaque, ut
  43. prius, constructa. Nempe, in eodem XS AB F. plano Inclinationis, rectae AC
  44. BX, E.S, Axi ad angulos rectos; in quas scilicet caduni, a punctis an B, E, demista
  45. aequalirer inclinatis (per s cap. T.) Eloc eA (per jam demonstrata) in ratione
  46. diltanciarum a Perpendiculari per Axem Plano, ponderabune, si sint aqualiter gra
  47. ponicus. Duod erac ulcimo demonstrandum
  48. MM
  49. BrerI

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. 649. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/851387705:0669?run=74