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. 140

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.

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The machine reads it as

  1. 4C
  2. Arithmetica infinitorum. PrOP. 178
  3. Adcog, daro lacere ldabitur numeruo Priangularis isti l2-
  4. ceri conveniens, Pacan = + l.
  5. EECONTA, Daco numero Priengulari, inveniecur ipsius
  6. laCuS.
  7. Nempe, retolvendo hanc A quationem 2n = 1 = + l, erie
  8. : + 2B. Z - b.
  9. i
  10. D R O D. CLRRIII.
  11. Coroll.
  12. P Hyperbola Diameter transversa set 2 ex Latus
  13. rectum ?: sumptis diametris C. puncto applicationis
  14. vertice interceptis) Ln 293,4,5,Oc. Ordinatim-
  15. applicatarum quadrata erunt 1, 3, 6, 10, r5. ∞c. nempe
  16. numeri triangulares, cnjus latera sunt 1, 2, 33435, C.
  17. Probatur per 17 vel 33 proD. C on. Sce. nos. Hyperbolam
  18. iplam extribebir tipura prop. Ccg.
  19. PROP. CIXXIV.
  20. Corollarium.
  21. C s pant ad eandem rectam AaO duo triancula
  22. ata at B, aDB3 tq ut c ad V sic AD ad DB
  23. aD ad DB; S sumantur agnales Aa = 1 = aD
  24. DDSc. Rcctancula BDB, BDB, c. erunt ad invi-
  25. cem ut 1, 3, 6, 10,
  26. _C. numeritrianeu
  27. lares, quorum latera
  28. sunt aD, aD. exc. M. -
  29. diae vero proportiona.
  30. les inter BD, DB; DB.
  31. DB eC, sunt ordina-
  32. tim. applicata in F-
  33. perbola ADP: cujus
  34. diameter transversa
  35. Aa latus rectum aB, vel ipsi agnale.
  36. Pacet ex calculo. Nem rectangulorum BDB, primum crie
  37. VEXZVE =1. Sccundum 2Y = +3V5 =3. Tercium 3 ~:
  38. X4V.

Cite

Qua Continentur De Angulo Contactus & Semicirculi, Disquisitio Geometrica. De Sectionibus Conicis Tractatus. Arithmetica Infinitorum: sive de Curvilineorum quadraturâ, &c. Eclipseos Solaris Observatio, fol. 140. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/824573315:0352?run=74