Leibniz Legible

Machine transcription of the Leibniz Nachlass

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[Physica, Id Est, Scientia Rerum Corporearum, In Decem Tractatus Distributa] Physica, Id Est, Scientia Rervm Corporearvm, In Decem Tractatvs Distribvta, fol. 167

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: 0.91.

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The machine reads it as

  1. LTB. II. DE COMPRESSO ET PEHSO.
  2. PROD. CCLXI
  3. Si appendatur pondus extremo ey-
  4. lindro, verricali plano affixo, incur-
  5. natur, es deprimitur, sed non in pa-
  6. rabolam: Sic enim cylindrus CC3
  7. altixus in C; appendatur pondus
  8. 5. 39 in C; dico quod non incuruabicur
  9. in parabolam; nempe idem nOn
  10. Praectat pondus in C appenlum,
  11. quod iplum pondus cylindri CO,
  12. si longior eller, v. 8. nam mmO-
  13. mencum cylindei CG, est vEmO-
  14. mencum ponderis aequalis appensi
  15. in K, vel ve momentum Cubdupli
  16. Ponderis, appen(I in G, VE PaTCE Cx
  17. mechanica: hinc momenta extin-
  18. dri, pro singulis punctis CG, TunE
  19. in ratione duplicata distantiaru, ab
  20. exrremicare mobili G, cum Lamen
  21. momenta ponderis appensi, pro
  22. lingulis punctis, line ve rectes, leu
  23. lonoicudines rectis, Ceu distantix
  24. a C, cui appensum est pondus; 10i-
  25. cur ve latera praedictorum quadio-
  26. TOrUM: PexterCa adducaTuI AC,
  27. in HCF, adducta scilicer veraque
  28. extremitate A, C, in FI, F, OPeFa
  29. chordae HEF, igitur B exrremitas
  30. C, Tcomenti GC, cuins altera eX.
  31. cremicas C immobilicer aftixa est,
  32. Opera, chordae EF adducatur, in-
  33. PROD, COLZII
  34. Arous potest plus e minus lu-
  35. nari: Probacur, quia porest ma-
  36. ior, ee minor porentia, vel maius,
  37. e minus pondus appendi; igirur
  38. Porest elte maior, e minoi vis
  39. adducens; IDIeUL PeF aZ. 4. _
  40. ipla adductio, seu lumario; vel
  41. Een(io.
  42. PROP. CCLZIII.
  43. Est adem provortio censionum;
  44. eiusdem arcus; es ponderum appen-
  45. sorum: Hhoc etiam commune est
  46. tensioni chordarum, de compres-
  47. lioni corporum; rario manifesta
  48. est, ex aX. 4. nempe eadem est pro-
  49. porrio caularum e effectuum; Ced
  50. pondus appensum est caula censio
  51. nis, _ censio effectus; irieur ca-
  52. dem est proportio censionum, de
  53. ponderum: Tlinc si appendatue
  54. pondus duplum, eric censio dupla;
  55. s quadruplum, quadrupla.
  56. PROP. CCLXIV.
  57. Omnia puncta semiareus tensi, ab
  58. appenso pondere inaqualicer condun-
  59. tur: Sic Cemiarcus CLF; dico pun - Fig. 39.
  60. ctum C, magis cendi, quam L; d
  61. L, quam F; ratio est, quia vis
  62. curuabitur in CLF; nam perinde cendens maiorem effectum exerit
  63. et, sive veraque simul excremitas, in C, quam in L; in L, quam in F;
  64. sive alcera tancum addueatur; acqui scilicer carione rectis: Flinc s vI-
  65. pondus appentum in C, idem pra- cerius deorlum adducatur cylin-
  66. stac quod praeltaret porencia addu-
  67. cens opera chorda:hinc ( appen-
  68. drus C 6, d plus xquo lunerur,
  69. Fransitur in C: Flinc centiones
  70. dacur pondus in F, rerinebic at- Singulorum punctorum, TuNE vE
  71. cum censum; de lunacum, sed distantia à puncto C, v. 8. censio
  72. non in parabolam, per prop. puncti O, est ad censionem puncti
  73. 53
  74. K, VCO6, 2d LC.

Cite

[Physica, Id Est, Scientia Rerum Corporearum, In Decem Tractatus Distributa] Physica, Id Est, Scientia Rervm Corporearvm, In Decem Tractatvs Distribvta, fol. 167. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/779782283:0253?run=74