Leibniz Legible

Machine transcription of the Leibniz Nachlass

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Qua Continentur De Angulo Contactus & Semicirculi, Disquisitio Geometrica. De Sectionibus Conicis Tractatus. Arithmetica Infinitorum: sive de Curvilineorum quadraturâ, &c. Eclipseos Solaris Observatio, fol. 24

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.

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The machine reads it as

  1. L
  2. Arithometica Insinitorum.
  3. PrOD. 32,33
  4. qualiscrienei circuli Cui C ter Tumpei. (Per PrOD. 29, 30.)
  5. cumq: Suxvonanens sequales circuli B in prima _ C in secun-
  6. Sa (Propcer xquales radioe) crune Agura Epirales MABH
  7. prima, _ NIABC. M Cccunda, ad invicem, ut 2 ad 3, DeMDEUC
  8. circulus bis sumpcus 2d cundem vel aequalem cer sump
  9. eum;) hoc ek, in reciproca ratione rectarum homologari
  10. MA, MA. Nam MA in prima eA = recta MB, Ec MA in le-
  11. conda 5 (aequalis rectxe) MC; luncisicur Ma in sccundas
  12. ad Ma in prima, ut 3 2d 3, vel 5ad 2, vel 22d3 Idc09;
  13. FIGUTa MABM in Spirali prima, ad AsuTAM MABCM in Spi
  14. rali sccunda, uc recta M A in secunda ad rectam M A, iN
  15. prima.
  16. Acq; idem similicer octendetur, quaecunqi sic racio homolo
  17. earum rectarum in dissimilibus Epiralibus.
  18. PROP. XXXII. Corollarium.
  19. autem ejusmodi fieurae spirales, lineis spirali-
  20. bus dissimilibus, e rectis item inaequalibus termi-
  21. nentur; erunt illa ad invicem in ratione qua com-
  22. ponitur ex triplicata ratione rectarum terminantium,
  23. ex reciproca ratione rectarum homolozarum.
  24. DCquIeUE CX PFOD. 30, 31.
  25. P R O P. XZXIIT. Corollarium.
  26. Oero, Fieure spirales, quae circulationibus prima,
  27. secunda tertia quarta, ec. describuntur, sunt
  28. ad invicem, ut 1, 7, 19, 37, 61, 8 c. nempe ut
  29. differentia numerorum cxbicorum, quorum latera sunt A-
  30. rithmetice proportionalia.
  31. NaMICDEEPP. 29.) quX prima, quae prima e CeCUMdB, qua
  32. prima Eccunda e cercia, quae prima lecunila cerria _ quarca.
  33. _c, deferituuneur: A PUMEUC 1,8, 27, 64, 125, EC. ergo, quae pri-
  34. in1, qua Secunda, qu_ cercia, qua quarca, _c. describuncve
  35. HINC CE 2, 8 -n 1.3 27 8, 64 = 27, 123 = 64 8 Ca HOC
  36. cA

Cite

Qua Continentur De Angulo Contactus & Semicirculi, Disquisitio Geometrica. De Sectionibus Conicis Tractatus. Arithmetica Infinitorum: sive de Curvilineorum quadraturâ, &c. Eclipseos Solaris Observatio, fol. 24. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/824573315:0236?run=74