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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. 110

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.

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

The machine reads it as

  1. P E YSTOA LR ACFAFVS Y.
  2. PROD. CLZVI
  3. Sitendatur planum circulare, V. 8.
  4. menibrana rympani; potest determi-
  5. nari sparium aquinalens decursum:
  6. Sic enim membrana cympani, cen-
  7. EtO A, diamCErO TN; priusquam
  8. cendatur; vbi vero censa est, sIE
  9. diamerer IL, dupla prioris THI; sc
  10. radius AFI, qui sC resticuic in AZ;
  11. igicur spacium decursum à puncto
  12. HL, eAt HY, vel iph aequalis HC;
  13. igitur duCatEx AC, Si Spacium de-
  14. curlum a puncto HI, est HO, de-
  15. curtum a punctoY, cxir YD; d a
  16. puncto Z, ZF, ecc. igieur si altu-
  17. inacur longicudo radii non censi
  18. AY, ec T7, aequalis excestui YFI,
  19. vel HIO, ducacurque A), habe-
  20. bitur in criangulo AX2 Eparium
  21. aguivalens decurlum ab AY cen(a
  22. i AII per proP. 83. ve aucem ha-
  23. beacur spacium a quiualens à plano
  24. circulari le Sc reducente decurlum,
  25. a plano inquam cuius censi radius
  26. SIE AFI, non censi vero, AY; cri-
  27. satus planum crians ilate A Y 7,
  28. voluatuIEqUC CIFCA aXEI AZ, donec
  29. incubet perpendicularites praedicto
  30. plano circulari; in quo deinde ica
  31. A, decurcar, relinquit Tolidum cy-
  32. rensis praedicta spacia aegninalenria.
  33. lindricum excauatum, quod est ad
  34. cylindrum eiuldem balS, _ alci-
  35. cudinis rE 2. ad 3. nempe illa caui-
  36. c2s, 2 cono ciuldem balis, ex alti-
  37. eslet torius cylindri igitur quod
  38. Cuperest, 3. Orlindri concinet; igi-
  39. cur inventum est spatium aequiua-
  40. do, quo prius, habebicur Colidum
  41. In membranis inaequalibus, aeque-
  42. sunt vi cylindri, quorum bases sint
  43. crectum per incegrum orbem circa
  44. cudinis, impleretur, sed hiCCOnUS
  45. ACF, quod Si voluatur eodem mo
  46. CxCaIaLHI, XC.
  47. PROD. CLZVII.
  48. lens, ac. pari modo sic circulus
  49. cujus Cubduplus sIc radius AF;
  50. piiu(quam cendatur membrana. vbi
  51. et membranae es alcicudines ut ex-
  52. cessus: v.Z. (E membrana maior,
  53. cuius ren (a radius sIE AFZ , HON Fig. 28.
  54. cenLa AY; sic inor, cuius cenlae
  55. Fadius (IE AZ. nON EenLa AF; (p2-
  56. rium aequiualens decurtum à ina-
  57. iore Le reducemle continet =, cy-
  58. lindei, cuius balis sic ipla membra-
  59. vero Tenta est AZ; SIC FCs aequalis
  60. na e alcicudo, exceltus censionis
  61. YFI, vel ipsi aequalis Z7; decur-
  62. Cum vero a minore continet,, cy-
  63. lindei caius Ba(IS AE ipCa IeM-
  64. beana minor. _ alcicudo excessus
  65. centionis FZ, vel ipli aequalis FC;
  66. isicue sparium primum est ad le
  67. cundum, ve.=. primi cylindri, a1
  68. =Secundi; Led ica se hab et cylin-
  69. deus ad cylindrum, ve =. rnius, ad
  70. alterius, igieur (pacia (UNEVE
  71. prediai cylindri, quod exac de-
  72. monstrandum.
  73. PROP. CLXVL1
  74. Tlinc praedicta sparia sant in rario-
  75. ne triplicata diametrorum membra-
  76. narum: Nempe Cune re praedicti
  77. cylindri, per prop. 167. Scd hi Cune
  78. in ratione criplicaca diamecrorum
  79. vel radiorum balis; quando enim
  80. alticudo, est ad alcirudineim, VE Pa-
  81. dius, ad radimm, NE AE in ROC Ca-
  82. TU; SI HaDCaEUE EanEUIM FatiO alEi-
  83. cudinis, cylindri lune re alcicudines,
  84. vel ve radii; si cantum ratio balIs,
  85. Cune re bales; he rero in duplica-
  86. ta radiorum; si vero veriusque, lunc
  87. excellui FX, haberur rriangulum in ratione compolita ex rarione
  88. radiorum.
  89. 21C

Cite

[Physica, Id Est, Scientia Rerum Corporearum, In Decem Tractatus Distributa] Physica, Id Est, Scientia Rervm Corporearvm, In Decem Tractatvs Distribvta, fol. 110. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/779782283:0196?run=74