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. 21

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: 0.91.

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The machine reads it as

  1. drithmetica En Euitorum.
  2. rioram. L Parscer de quoeris circulacionibus judicanctum est,
  3. habica semper numeri circulacionum consideracione.
  4. DROP. ZZVII. Corollarium.
  5. T autem Spiralis ultra circulationem primam sed
  6. non duabus inceeris continuetur, sigura spiralis sic
  7. descripta (bis sumpto quod bis describitur) a
  8. quabitur trienti tam inteeri circuli contermini, quam e
  9. jusdem continuationis supra circulum inteorum.
  10. Nam incerea dum delcribicur figura (piralis MATM, de
  11. Ccribicur eriam Eigura circularis aucta PPTM: nempe circuluS
  12. inceger De, cum adjuncto cciam sectore PMT.
  13. PROP. XXVIII. Corollarium.
  14. E Dariter, se spiralis continuetur per circulatio-
  15. nes duas tres, quatuor, aut plures inteeras, cum
  16. additamento; ficuraspiralis sic descripta (repeti-
  17. ia tolies qualibet parte quoties describitur,) aqnabitur
  18. trienti tam inteeri circuli conterminibis, ter, quater, aut
  19. sapius sumpti (pro numero nempe inteerarum circulatio-
  20. num,) quam etiam additamenti sive sectoris adjuncti.
  21. Ouia nempedum Egura illa (piralis (a circumducta recta
  22. crelcence) delcribitur, cories delcribicur, Ca recta circumdu-
  23. eta aquabili) circulus concerminus, acq; insuper addicamen.
  24. tum.
  25. PR OP. XZIZ. C010H.
  26. F9i insuper. Pienre spirales quae prima, que
  27. prima e secunda, quae prima, secunda e ter-
  28. tia, qua prima, secunda, tertia et quarta, Ce
  29. sic deinceps) circulationibus describuntur, Cput a M AM,
  30. MaBML, AIABCMI, MABCDM, C c. ) se habent ad invi-
  31. Cem ui numerorum drithmetice proportionalium cHbi, I.
  32. E C Z
  33. B
  34. PROP: 27, 28, 29.

Cite

Qua Continentur De Angulo Contactus & Semicirculi, Disquisitio Geometrica. De Sectionibus Conicis Tractatus. Arithmetica Infinitorum: sive de Curvilineorum quadraturâ, &c. Eclipseos Solaris Observatio, fol. 21. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/824573315:0233?run=74