Search the Nachlass

[Physica, Id Est, Scientia Rerum Corporearum, In Decem Tractatus Distributa] Physica, Id Est, Scientia Rervm Corporearvm, In Decem Tractatvs Distribvta, fol. 433

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: 0.88.

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

The machine reads it as

  1. L8. 12
  2. LFB. II. DE AL FER A XIOHE.
  3. CEFEE A COnSIdETCFRE anEUM BVI.
  4. quarenus est ab GB, dico, BMI esC
  5. minorem BNI; quia minor caula
  6. iminorem effectum producie; sed
  7. OB cs minor FB; BMI respondCE
  8. BC, _ BHI, BF; tanquam eHectus
  9. caula; igitur BMI est minor BHI;
  10. isitur linea actinicaris nOn TUNE
  11. aquales, ducta scilicet ab eodem
  12. Ephaera lucidae puncto, modo li-
  13. nearum, guae in eodem puncto
  14. decullancur, rario cantum habea-
  15. EUI.
  16. PROP. CZTII.
  17. Tuxta hanc hyporhesim, praedictae
  18. linea sphaerica supersicie terminantur:
  19. Sic enim idem circutus aioe
  20. Ephaera lacidas CenErO A; SIE BFI,
  21. re(pondens BF; _ BMI, BC; _E BL,
  22. BFI, Ec. dico omnes iltas lineas
  23. BML, BN, BE, BR, BP; _C. TCF-
  24. minari circulo; nam eadem est
  25. caularum, ee effectuum proporcio;
  26. igituE vE se habet F B, 2d F B,
  27. LB, ec. ica sC habet BHI, 2d BO,
  28. BP, _c. Joicur ve colteetum li.
  29. ReAFUM E B, LB, DB, _C. CIECU.
  30. lo terminatur, ica d collectum li-
  31. nearum BH, BO; BV, _C. VF
  32. durem habeas sphaecam lucidam,
  33. circa FB roluatur circulus A, cui
  34. relponder sphaera, qux relulTaE ex
  35. revolurione circuli s, circa BFY;
  36. in his nulla est penitus difficultas,
  37. nam cuiliber livex sphaeix lucidae,
  38. responder linea proporrionalis, in
  39. Ephaera actinicatis.
  40. PROD. CXIV.
  41. ne, cum quaelibet linea sphaerx
  42. actinicaris sic rantum applicaca uni
  43. lincae Sphaerae lucidae; V. 9. BMI,
  44. est tancum applicaca BC, nec ab
  45. aliis punctis sphaera lucidae A, Cx-
  46. era lineam BC, ad BMI, rectae li-
  47. nex duci poltune; igicur linea BN
  48. depender tantum a BC; igirur in
  49. hoc calu, haberur eancum cario
  50. linearum, quae decustantur in B;
  51. igicur in hoc catu, luminis dittu-
  52. Tionem praetaro inodo heri necelse
  53. est, dixi supra eodem Fere modo;
  54. quia foramen illud nunquam caim
  55. exiouum ek, ve lic punctum; Ei veio
  56. lamina opaca cum foramine ica
  57. admoncatur lucidae (phXFX, VENOn
  58. cansat, linea quae inera lpacium
  59. activiraris diffunduntur, post de-
  60. cullationem in Foramine, termi-
  61. nantur quidem Cuperticie curnas
  62. quam cum Geomerra facile det-
  63. nire possine, ad illos eam remicto,
  64. nec enim oeomerrizandi locus hic
  65. esse viderur; rnum eantum indico,
  66. Scilicet praedictas lincas else pro-
  67. portionales iis, quibus in sphaera
  68. lucida respondene; v. 5. sic Lpha-
  69. ea lucida B; Cic lamina admoca Fig. F50
  70. AITT; SIE DUMCEIIM D, FOFAICM
  71. in praedicta lamina, sc recta DII,
  72. respOndenS CA; _ DL, FClpOndenS
  73. FO; eE DK, selpondens FP, XC.
  74. CeEEe CUM CaUTAEUI _E CFFCCFLLI
  75. Sc eadem proporrio; VEDII, est
  76. ad DL, DK, DL, _C. IF2 AC, eAt
  77. ad EO, FP, OR, Rc. vides lineam
  78. curuam; qua connectit exrrema
  79. praedicarum linearumm punct2: qux-
  80. naM QUFCIM SIEPTCFAEA CUFUALIKLD,
  81. viderine GCOMICEIE.
  82. cidae admoiteatur, sque in puncio
  83. comactus perexionum foramen prae-
  84. dicto fere modo fiet luminis diffusio:
  85. empe polita lamina cum forami-
  86. Fom. 1L.
  87. ectibii eddite idg uetlobstit ap fsetoo
  88. laminae perforaia. in puncto conta-
  89. EtuS
  90. FIinc s lamina opaca sphaerae lu-
  91. l L dt 20dd e 10

Cite

[Physica, Id Est, Scientia Rerum Corporearum, In Decem Tractatus Distributa] Physica, Id Est, Scientia Rervm Corporearvm, In Decem Tractatvs Distribvta, fol. 433. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/779785487:0491?run=74