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. 102

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. rithmetica insinitorum,
  2. DLOT. CAal
  3. CxdD. 132
  4. Theoremas
  5. ari modo, Si exponatur series sEqualium mul-
  6. etata serie Subquartanorum, Subguintanorm,
  7. _c. Rehiduorum Duadrata, Cubi, Biquadra-
  8. ca, exc. ad seriem cocidem corum maximo aequalium,
  9. rationem habebunt cognitam.
  10. e. Nam ut in subductione seriei lublecundanorum, consequen-
  11. tes rationum hune concinua addicione numerorum arichmerice
  12. proportionalium, 1 F 2 = 3. 1 + 2 +3 - 3+ 3 = 6. 2+2 +
  13. 3+ 4. = 6 + 4 = 10, X+ 2 F3 + 4 +5 = 20+5=-15. 1 +27
  14. 3F 4 +5 + 6 = 157 6 = 2 L. dec lea in lubductione subcerci-
  15. anorum consequentes racionum hunc concinua addicione nu-
  16. merorum illorum (3, 6, 20, 15, 21, _C.) in subductione suble-
  17. cundanorum modo inrencorum; nempe 1 + 3 =- 4. 4+ 6 =
  18. 10.. 10 + 10 =- 20. 20 + 15 = 35. 35+ 21--56. _c. vel
  19. + 1 + 2
  20. 1 + 3 = 4. 4 F TF2+ 3 = 2 +. 3 +6 = 10.
  21. 20F I + 2+ 3 + 4 - 1. +. 3 7 6F 10 =-20, 2045+ 2 +3+4 +
  22. 8 = 1+ 3 + 6 + 10 + 15 = 35. 35+ 2 + 2 +3+ 4 +5 + 6 -
  23. + 3 + 6 F10 + 15 7 2C =56. _c. Deinde ex numerorum
  24. Jam inrentorii (e, F0, 20, 35,56, _C.) continua additione, fiune
  25. conlequentes racionu in subductione seriei (ubquartanori, (né-
  26. DC 1 + 4 = - 5. 5 + 10 = 15. 25720 =- 35, 35+56 =- 91. _C.)
  27. Ec exhorum icerum concinua addirione, fiune consequences
  28. racionum in lubductione Periei proximae (Cubquincanorum;)
  29. Ecsic deinceps ad hunc modum.
  30. Llacio

Cite

Qua Continentur De Angulo Contactus & Semicirculi, Disquisitio Geometrica. De Sectionibus Conicis Tractatus. Arithmetica Infinitorum: sive de Curvilineorum quadraturâ, &c. Eclipseos Solaris Observatio, fol. 102. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/824573315:0314?run=74