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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. 461

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.

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

The machine reads it as

  1. 1
  2. t
  3. 1
  4. OB
  5. 10d
  6. sed
  7. 00.
  8. 1to
  9. iset
  10. et
  11. verd
  12. Ostit
  13. UI
  14. otet
  15. LIB. III. DE REFRACTTOHE, _C.
  16. pocest, longistime diffundicur,
  17. Teruara Scilicer diftutionis regula,
  18. de qua Cupra; ergo per eas lineas,
  19. quae longissime produci pottune.
  20. igitur per rectas; cum enim recta
  21. a puncto, ad punctum ducta, bre-
  22. vistima lIC, cerre breuior exit cur-
  23. Va; ergo Ei aequalis curuxe accipia-
  24. cur, longius profecto vlera pun.
  25. ctum, priorem distanciam termi-
  26. nans, excurret: deinde per me.
  27. dium rarum radius per lincam re-
  28. ctam ibac, igirur per densum, per
  29. lineam rectam ibic; eM enim par
  30. verimque ratio: deinde cur porius
  31. in rnam, quam in aliam parrem,
  32. in curuam lineam, inRecterue; V.
  33. 8. radius perpendicularis, denso
  34. immersus; Ced de aliis cadem est
  35. penicus rario, re constac: denique
  36. E radii denloimmerh in lineas cur-
  37. vas infectuntur, diftulionis regula
  38. a nullo cenero accipi porelt, vi p2-
  39. cet: deinde cur porius in vnam
  40. curuam, quam in aliam; cur in ar-
  41. cum minoris circuli, potius quam
  42. maioris; led in se clarissima; diu-
  43. tius quam par sIc, haereo; igirur
  44. Cegmentum denso immertum, per
  45. lineam rectam diffundieur.
  46. PROP. ZZX.
  47. Fsinc radius: ex viroque seemen-
  48. 1o constans, in angulum necessario
  49. incuruatur: Cum enim verumque
  50. Teomentum communi puncto sau-
  51. dear; illo scilicer. quod duo media
  52. connectie, ve perspicuum cA; &
  53. cum Ceomencum denlo immertum,
  54. per linCa FeCtAM CAE, PeF PFOP. 29.
  55. nec tamen priori linex insiltat, ve
  56. Supponitur per prop. 28. cerre de-
  57. Aectere illud necelse est, vel sini-
  58. Arortum, vel dexrrortum, hOc eR
  59. vel a perpendiculari, vel ad per.
  60. pendicularem; isicuE cum priOTC
  61. seomento angulum facit; nam dux
  62. linex rectae ConcurTenTES, quae li
  63. producantur, libi inuicem non in-
  64. lltune, vel qua (rerulgo dicieu)
  65. in directum non lunc, angulu Fa-
  66. Cimme; v. 8. Cc iadius incidens AL
  67. cum leomentum dento immertum
  68. non AC Z 8. cerre vel Z 7. vel Z7,
  69. esse necesse est; hoc est vel ad per-
  70. Pendiculum Z 9. ve Z 7, rel ab
  71. eodem, vE 27; vides angulum
  72. AZ 7, vel AZ7; ergo verumque
  73. Cegmentum in angulum incurua
  74. CIL.
  75. PROP. Z Z ZT.
  76. Radius ex raro in densum obliqué
  77. incidens, non incurnatur à perpen-
  78. diculari; Incuruetur enim, si Acri
  79. Pocele, v. 8. AZ, in Z 7. Produca.
  80. TuT 7Z, in V; certe V erit cen-
  81. erum concurtus; per PrOP. 24. VE
  82. constat ex dictis; IOIEUL CK CCNTIO
  83. V, delcribi deberer arcus L7, quod
  84. dici non porelt; quia VZ est ma-
  85. ior VE; igirur radius oblique in.
  86. cidens craro in denlum, a perpen-
  87. diculari non incuruatur; led hoc
  88. infra clarius octendetur.
  89. PROP. XXZI.
  90. Radius ex raro in densum inci-
  91. dens obliqué, refringitur ad perpen-
  92. dicularem; haec tuit prima hypo-
  93. chelis, nam de Facto Cemper lup-
  94. Ponitur, quod lc; nunc veropio
  95. prer quid lic, demonstrandum est,
  96. Sine duo radii AB, AZ, quorum hic
  97. oblique, ille perpendicularicer, ex
  98. mediocaro, in dentum cadac; e
  99. AB per camdem lineam productanr
  100. diftundatur in E; Cx centro A del-
  101. CribAtUE aECUS E Z3 traud dubie
  102. radius AZ ulrerius diffundieue per
  103. PcOP. 14, 17. 18. 19. Ced pex eaM
  104. EA MLM 3
  105. dem

Cite

[Physica, Id Est, Scientia Rerum Corporearum, In Decem Tractatus Distributa] Physica, Id Est, Scientia Rervm Corporearvm, In Decem Tractatvs Distribvta, fol. 461. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/779785487:0519?run=74