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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. 455

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: 0.84.

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

The machine reads it as

  1. sed
  2. 3
  3. 1A
  4. 23
  5. re.
  6. te-
  7. 3aF-
  8. pet
  9. 11I2
  10. di-
  11. cido
  12. idij.
  13. OM.
  14. 1, I12
  15. ld
  16. CH.
  17. mest
  18. spha.
  19. I1I St
  20. CL12
  21. 15, 1.
  22. Otb
  23. lest
  24. IersuM
  25. Otbis
  26. 1
  27. L. +D. LLL. DE RR E F R A CFIONE, _C.
  28. rum explicatur es longior est: contra
  29. vero cadens e medio raro, in densum,
  30. concrahitur, es orenior est: Ratio pe.
  31. ritue ex eo quod qualicas Cuo sub-
  32. iecto coextenAATUE, PeF aX. 2. Pec
  33. puncta phylica medii densi PUInE
  34. minora; ergo linea ex iis constans
  35. et contractor, soicur si idem pun-
  36. CEOEUI HMIMETAS LIPPONAEUE, CCTEC
  37. linea constans ex punctis densis,
  38. contractior ex brenior est; alia vero
  39. dua ex punctis raris constar, lacioi
  40. e longior estiigicur radius luminis,
  41. qui coexcenditur lineax, in medio
  42. denso, erit contractior, et breuior,
  43. in Faro lacior, ex longior; idque nOn
  44. in eadem proportione, in qua me-
  45. dium est dertrus, Vel rarius; sed in
  46. Cuberiplicata; v. g. unum medium cst
  47. octuplo denlius alio, igieur linca
  48. medii densi, est subdupla in longi-
  49. cudine, ee larieudine, linea medii
  50. xari, licec aequali punctorum n-
  51. erO veraque constet; Scd idem
  52. Prorsus de radio luminis, quod de
  53. linea medii, cui coexrendicr, di-
  54. cendum est; ex hoc exemplo seli-
  55. qua Facile incellises.
  56. vior est radius es contra loncior ra-
  57. dius quo spacium illud rarum maius
  58. est; v. 3. BE Lucta X in A, Cicque
  59. eius sphaera dclucaris cadius in
  60. Tolo medio raro AK. in (OlO den(O.
  61. AC; cerce quo pius eric rari radii
  62. extremicas provius ad LL, quo vero
  63. minus propius ed C acceder; igitur
  64. quo Sparium carum MINUS CFIE, L2L
  65. dius erir brenior; qud resd maius.
  66. illud, hic maior e longior; quod
  67. exac probandum.
  68. PROP. XV
  69. Onamuis lumen in infinitam fere
  70. distanciam diffundi videatur, assumo
  71. ta tamen qualibet portione luminis
  72. diffusi in medio raro cogniio, definiri
  73. potest, quanto medio denso praedicta
  74. porrio luminis competat, coenita sci-
  75. licet densicarum ratione; Sic v. 8. lu
  76. cidum in A, quod per quodlibee
  77. medium lumen Cuum difundat,
  78. etiam s vis in infinicum; sIE porrio
  79. luminis diftusi per medium rarum,
  80. inera Sphaeram, Cuius radius sIC AKR;
  81. sit aliud medium octuplo densius,
  82. v. 8. detinire possum cadium (phae-
  83. sa, cui in hoc medio denlo praedi-
  84. Eta luminis porrio competit; sIE
  85. enim AC, ad AK, in Tubcriplicaca
  86. 2. 2d 8. CeKEC AC es FadiuS quL~T-
  87. Ex Sphxra; nempe re in coca (phae-
  88. ra medii rari, d in rora medii den-
  89. E. cora vis luminis proporrionalicer
  90. distribuitur; ita ex Cadem, vel aequa-
  91. lis porcio luminis, proporcionalicer
  92. distribuicur, inera minoret (phe
  93. ram medii cari, e inera minorem
  94. medii denti, ve constac ex dictis;
  95. tinc ve se habet radius (pHAEE
  96. medii cari, ineea quam eocum lumC.
  97. dilrunditur, ad radium sphaera me-
  98. dii densi, IMFEA quam CFIAI FOFA.
  99. vis luminis proprsacur, ica sc habee.
  100. xa dius minoris Ephaerx medii rari,
  101. ad radium minoris sphara medii
  102. densi, modo inera reamque equa
  103. lis porcio luminis diftundatur.
  104. PROP. XY 10
  105. Tonnulla, qua ad praedictas proi
  106. portines percinent, explicantur,
  107. quae in certa capita, ac cerros nume-
  108. ros distineo.
  109. Sio. ad A Eed
  110. DROP. XTI.
  111. Raas cadens extedio den(o in ra–
  112. PR OP. XL
  113. inc quo minus est spatium carum.
  114. ex quo radius in densum subit, bre-

Cite

[Physica, Id Est, Scientia Rerum Corporearum, In Decem Tractatus Distributa] Physica, Id Est, Scientia Rervm Corporearvm, In Decem Tractatvs Distribvta, fol. 455. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/779785487:0513?run=74