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Francisci Dulaurens Specimina Mathematica Duobus Libris Comprehensa, fol. 125

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: 0.93.

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

The machine reads it as

  1. LIBER I. CAPUF V.
  2. DEMDAS, LRATTO EN P CASU.
  3. TFeraque propolicarum rectarum adlecancem perpen-
  4. dicularis est proprer concessam Llorum a propolcis rectis
  5. lineis ad secanrem recticudinem. Ouaproprer sumpris
  6. propolicarum rectarum alcerutra pro lubjecta, ex lecance
  7. pro perpendiculo parallelarum descripeore, punctum in
  8. quo alcera propolitarum rectarum d lecante diridieur,
  9. per conrenientem ipsius secancis, sire dicti perpendicu-
  10. li, Parallelarum descripeoris morionem, rectam lineam
  11. deleribet, alcerilinea, qux pro subjecta Polica est paral-
  12. delam, ex ipsi secanti linex perpendicularem (ex notitia
  13. generationis perpendiculi). Aequi secunda ex proposicis
  14. lineis, per nominacum punctum cransiens, ipsi secanti
  15. perpendiculariter insistie, uc ab hujus demonstrationis
  16. inicio conclusum est, neque ab eodem puncto ad eandem
  17. rectam duo rla dirigi possune (ex probatis ad desinitionem
  18. L.II.) Pgicur recta linea, quam dictum punctum descri-
  19. Dec, eadem omnino est quam propolicarum secunda, e
  20. consequenter illa secunda prima pro subjecta PosItX p2-
  21. xallela eAt.
  22. SECANDUS CASUS. D A TUK.
  23. Tam recta F II, secanS rectaS A B _C CD, internOS, de
  24. ab eadem parre consticuros (1052, _ 3 duobus rectisx-
  25. quales efficiat.
  26. DUSTTUM. DicOAB = CD.
  27. CONSTRUCTTO.
  28. Bilecetur recta F. O in puncto X, a quo in alterueram
  29. parallelarum, uE AB ducacur + lum X P: cum Facto F. R
  30. aequali PO aGATUFX R.

Cite

Francisci Dulaurens Specimina Mathematica Duobus Libris Comprehensa, fol. 125. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1066520976:0147?run=74