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[Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica, fol. 70

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: 0.86.

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

The machine reads it as

  1. III. IIII
  2. PHTLOSOPMLLE NATVRALIS
  3. DE MorD ad Z S, adleoque ratio Z Q ad
  4. GORROROM P S. AuFerendo hanCa dACaFZ-
  5. EIONC PQX P R ad PSXPT.
  6. dabitur racio F R ad F T, e
  7. addendo datas rationes P I 24
  8. PR, _ PT ad F E dabitur
  9. ratio F F ad P BY acque adco
  10. punctum P. Q. F. I.
  11. Corol. Y. Flinc etiam ad LOci
  12. punctorum infinitorum P pun-
  13. ctum quodris D cangens duci
  14. Pocest. Nam chorda P D ubi
  15. puncta F ac D conreniune, hOC
  16. est, ubi AII ducitur per punctum
  17. ultima ratio cranescencium YP SE F
  18. isitur AD duc parallelam CF, occurrenem B D in F, sc in ca ul-
  19. tima ratione sectam in F, _ D F tangens erie, propterca quod CF
  20. e cranescens IFY Parallelae sune, ex in F ex P Amiliter secta.
  21. Corol. 2. Tlinc etiam Locus punctorum omanium F detiniri potest.
  22. Per quodris punctorum A, B, C, D, puca A, duc Loci tangentem
  23. AF ec per aliud quodris punctum B duc tangenti parallelam BL
  24. occurrentem Loco in F. Invenie.
  25. cur autem punctum fper Lem. XIX.
  26. Biseca BF in C, ec acta indehnita
  27. AC erit politio diametri ad quam
  28. BG_ FC ordinatim applicantur.
  29. TIaeC AG occurrat Loco in II, e
  30. erit ATI diameter sive latuS Fran(-
  31. versum, ad quod latus rectum crie
  32. ut BG9. ad C FI. Si AC nullibi
  33. occurrit Loco, linca A exictente
  34. infinita, LOcus crit Parabola ec l2
  35. rum rectum ejus ad diametrum AC
  36. B60
  37. pertinens erit=
  38. e
  39. Sin ea alicubi occurrie, Locus FTyperbola erit
  40. ubi puncta A e FY CTa sunE ad CaIdem pAFFCS ipSIUS G: ex FIIIPSIS,
  41. ubi intermedium est, nis Forre angulus G B rectus sic ex insuper
  42. BC quad. aequale rectansulo AGFI, quo in casu Circulus tabebitur.
  43. AEqueica Problematis Veterum de quatuor lineis ab Luclide incex-
  44. ei de ab Apollonio continuati non calculus, sed compositio Creometri
  45. ca, qualem Veceres quaerebant, in hoc COrollario exhibetur.
  46. LR N-
  47. q
  48. el ul Latc
  49. CEUF UE CUPra. IpII

Cite

[Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica, fol. 70. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1041163592:0104?run=74