Leibniz Legible

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De Locis Solidis Secunda Divinatio Geometrica, fol. 54

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: 0.90.

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

The machine reads it as

  1. VINCENTH YINTANI PROLOCIS,
  2. X X
  3. Triangulum denique TTZ. T eiusdem altirudinis P. B cum triangulo A sympto-
  4. tal, e cujus semibases BFI, BZ aequales sunt lateribus EF, FL, Viraque
  5. VErique, dicatur ASTMPTOTALF CIRCVMAVOIVM.
  6. PROPOSTFIO XAMIII
  7. N FTyperbola. Ouodrata ramorum ab orieine in cer
  8. tro sunt inter se et rectancula sermentorum axis in-
  9. ter ordinatas ex ramorum terminis, C9 terminos MO.
  10. duli ex Asempeoto interceptorum. Centrum vero MIO.
  11. duli cum centro datae LEyperbola concruit,
  12. GTE Hyperbola ABC, cuius axis BD, verECX B, CeNrUM F, axis
  13. transuersus BZ, triangulum Aymprorale F P. I. de circumauctum.
  14. AIYmPEOTALC RF P, MOdutuS VeTO Cx AImPTOTIS R F, F F SIE L N, e
  15. praeter minimum ramum P. B ex centro sic ad Ayperbolam A B C alius
  16. quicunque FaIUS F A. DicO quadrALA FaIOTUM L. A, L B, _EC. esse in-
  17. ter se ve rectingula NDL, NBL.
  18. DuCatUT ex A ordinata ad
  19. AXeM, quae iunctaS F R, F B
  20. ac productas secet in 9. T3
  21. AlymPTOtOS in C, R; Sectio.
  22. nem in C, 2Zem in D, e
  23. F H M determinantem Modu.
  24. lum in S.
  25. Tam, GuUm sIE extensa B R
  26. aequalis segmentO A(YmPTOtOS
  27. P F Cex Moduli incentione
  28. exic quadratum BR aequale qua-
  29. drato PF, sive quadraris simus
  30. EB, BF, _ dempro commu
  31. ni quadrato BF religuum re
  32. Ctangulum RFP equale CxiEre.
  33. liguo quadrato FB. Pari ratione (ob singulorum laterum proxorrionalin
  34. tatem) demonstrabitur rectangulum OC I aequale quadrato LD.
  35. Insuper rectangulum C7 AK aequatE 2 quadrato FB; Si his igieur ad
  36. datur, vel ab ipsis suberahatur, prouc opus fueric, rectangulum ASR,
  37. erit rectangulum CSK aequale quadrato semiordinatae AD; sed rectan
  38. Cuum OCT aequale nuper octensum est guadrato F D, ergo rectangu
  39. sum DCT cum rectansulo CSK, live rnicum OST aequale eAt duobus
  40. simul quadratis AD, DE, vel rnico quadraco rami E. A.
  41. Ec quoniam racio rectungulorum SY, R LP componitur ex racione
  42. 10. secun
  43. ai C01

Cite

De Locis Solidis Secunda Divinatio Geometrica, fol. 54. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/898203430:0082?run=74