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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. 426

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: 0.89.

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The machine reads it as

  1. 426
  2. PE ZSICE E R ACT. IV.
  3. ctum Phylicum, incellige quaelo progressione quadratorum: Sic enimFig. +.
  4. minimum Phylicum.
  5. PROP. LZ ZZVIIT.
  6. Lumen quod medio radio inest, est
  7. semper et 4. Cum enim lumina
  8. Anc re quadraca dictantiarum, per-
  9. mutando; distantia rlcimi puncti,
  10. est ad distanciam medii puncti, ab
  11. eodem centro sphaera, vE 2. ad 1.
  12. idicur quadraca ve 4. ad 1. igituE
  13. lumen medii, est ad lumen rlcimi,
  14. vc 4. 2d 1. igitur cum lumen rlcimi
  15. Suxponacur semper ve 1. sic enim
  16. vocolumen illud, quo imperte-
  17. Ctius naturaliter produci non po-
  18. rest, cerre lumen medii crit ve 4.
  19. PROP. LXZZIX.
  20. Diniso radio, in quamlibet ratio-
  21. nem cognitam, dici potest, quantum
  22. sit lumen, in puncto, quod segmen-
  23. ta connectit; v. 9. diuidatur radius
  24. juxta rationem =, ica ve Ceomen.
  25. tam versuS CenErUM, AIE L. _ aliud,
  26. Sit VE 2. dico, lumen in puncto
  27. sectionis elle ve 9. cs enim qua-
  28. dracum Cegmenti 1. ad quadratum
  29. Eorius radii 3. vEr. 2d 9. Sed lumi.
  30. na lunc re quadeaca distanciarum,
  31. permutando; hinc punctum cuius
  32. distantia a cenrro est Tubrripla e0.
  33. ejus radii, habet lumen ve 9. si
  34. vero AE Cubquadrup la vF16. s (uB-
  35. quincupla ve 25. (i (excupla vE 36.
  36. quid Eacilius; E vero allumatur
  37. punctum, quod a centro duabus
  38. cerriis dister; lumen illius est ad
  39. lumen vlcimi puncti vrg. ad 4. igi-
  40. EUIE DE 2. 7. 2d 1. Ei vero distet =
  41. eric ve 16. 2d 9. Id cA, VE1. 3. _CC.
  42. PROP. ZC.
  43. Tinc ita dinidi potest radius, et
  44. homina in sectionum punctis; sint in
  45. radius AF, centrum A, vlri.
  46. mum punctum F; aslumaEur AF,
  47. Cubdupla AF, cum AD, Tuberiplas
  48. cum AC, Subquadrupla; cum AB,
  49. Tubquintupla, ecc. dico lum en esle
  50. In F, VE1. In F, VE 4. IN D, rE9.
  51. In C, vE 16. in B, YE 25. eC. vi-
  52. des leriem quadratorum; rario ex
  53. dictis, perlpicua est; nempe lu-
  54. men in F, est ad lumen F, ve qua-
  55. drarum EA, ad quadeacum FA;
  56. id Cst, ver. 2d 4. X ad lumen iir
  57. D, ver. 2d 9. id est, ve quadca-
  58. tum DA, ad quadcarum PA; 8 24
  59. lumen in C, ve quadeacum CA,
  60. ad quadracum FA; id CAE, VE1. 2d
  61. 16. Xc. irieur lumina Cune iuX-
  62. ta progrestionem quadtacoru;
  63. _c.
  64. LL+. L2L.
  65. Ita diuidi porest radius, ut lumi-
  66. na proeressionem geomerricam se-
  67. quantur: Sic radius GE; dinidacue
  68. in K, ica ve quadratum HO; sIE
  69. ad LG, VE 1. 2d 2. TUMI IN P, IEa
  70. ve quadeacum IG, (IF 2d quadE2-
  71. eum LO, VE 1. 2d 4. cum in FL, Ica
  72. ve quadratum HIC, sic ad quadra-
  73. EU LG, VF P. ad 8. tum in M, iC2
  74. ve gnadrarum MO, sIc ad quadia-
  75. EUM LO, VE 1. 2d 16. Cerre luMEM
  76. in L Cric 1. In R, 2. in I, 4. In FI,
  77. 8. In ML, 16. vides progressionem
  78. Geomerricam duplam; Lunc enirm
  79. lumina re quadrata distanciarum,
  80. Permutando; quomodo; vero F2-
  81. dices huiulmodi quadeaeorum in-
  82. veniantur, vel minimus Tyro in
  83. Geomerria Facilé le le expedier.
  84. ROF

Cite

[Physica, Id Est, Scientia Rerum Corporearum, In Decem Tractatus Distributa] Physica, Id Est, Scientia Rervm Corporearvm, In Decem Tractatvs Distribvta, fol. 426. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/779785487:0484?run=74