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Optica Promota, Seu Abdita radiorum reflexorum & refractorum Mysteria, Geometrice Enucleata, fol. 17

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: 0.91.

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

The machine reads it as

  1. coD. 8. Lemma.
  2. Conoide, vel Sphaeroide, secta plano ad auem perpendiculari; sectione
  3. fit Circulus. Centrum habens in axe.
  4. Tridacur Conois, vel Sphaerois, plano ad axem A C perpen-
  5. diculari, occurrente in puncto R, _ sic sectio (L. FI I, quom
  6. dicoesse circulum: Fcenim per axem A H C planum agACUF Fa-
  7. ciens sectionem PAFC, occurrentem secanci plano perpendiculari
  8. ad axem, in punetis I, M, ad quae a puncto R ducaneur linea, III, KMI,
  9. Qui ad aXeM AHC Cunc perpendiculares; ex proinde ordinacim ap-
  10. plicarae: cum enim ex revolurione sectionis BAC. D, in consticurione
  11. tigura, FaCtuS SIE. CIrCUIUS P ED F, cujus radii TunE CB, CB, C D.
  12. CF, ad axem recti, et proinde ordinacim quoque applicaci;
  13. joitur unusquisque erium Radiorum aequalium CB, C L, C D,
  14. habee ad quamtiber sibi parallelam lineam e cribus HG, K Y AP. I. 2T.
  15. K II, eandem rarionem, unde pAteE (cum C B, C F, C D
  16. FDE aequales) _C KG, KI, K H esse aequales; igitur circulus eA
  17. GMHILI, cujus, cencrum I, in axe conoidis vel sphaeroidis; quod
  18. demonstrandum erat.
  19. 3. 95
  20. lFOP. 9. Lemma.
  21. Si Conoidem, vel Sphaeroidem, tancat planum, es per punctum con-
  22. tactus, es arem, ducarur aliud planum; Dico haec duo plana se
  23. invicem normaliter secare.
  24. IcConois, vel Sphaerois ABD, quam cangac planum HIOF
  25. in puncto F, perque punctum F, e axem figurae producacue
  26. planum BE ALD, donec secec planum HIOF inrecta TF. Dico
  27. plana HTCE, BEALD, se invicem normalicer secare. Pet DUn-
  28. ctum F ducatur planum F M L. N, perpendiculare ad oxem A C,
  29. de producacur, donec secec planum HIIOF in recta GH; SC
  30. quoniam EI C esnoir circulum F M L. N, eric ad ipsius diame.
  31. ETum FL perpendicularis; SC quia PlaNA B AD, FML, SC
  32. invicem secan normalicer, _ HC in plano P. M L N, est Per-
  33. pendicularis
  34. B RujIS.
  35. 3. 18.

Cite

Optica Promota, Seu Abdita radiorum reflexorum & refractorum Mysteria, Geometrice Enucleata, fol. 17. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/727094130:0029?run=74