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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. 62

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: 0.90.

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

The machine reads it as

  1. De Sectionibus Conicis.
  2. PROP. 26.
  3. applicacae cum expolica diametros) ipE93 AS parallela pona-
  4. cur aB = Aa = 1, angulum Faciens AaB =SAa: (Calcem Can.
  5. eae sinc longicudinis AS, aB, uE sIE AS LaB =113 modo incerim
  6. non sinc AS, aB, invicem aequales; eo enim calunon Conus, led
  7. C.glindrus prodirec:) EC jungancur rectae 85, BA, quae conci
  8. nuaca coeane in V, complences criangusum VaB, (E nempe
  9. aE ajOP HE quam AS, prouc jam supponimus; vel, A leCUS,
  10. eriansulum VAS:) quod esto criansulum per axem C oni mOk
  11. corltruenai.
  12. Deinde Super rectas Aa, 2B, duo plana ica erisaneur ut com-
  13. munis earum lectio ao taciae cum recta aB angulum rectum,
  14. cum recta vero Aa angulum aequalem angulo inclinationis FI
  15. lipleos propolitx. Hoc enim ommino teri posse constat: Si e-
  16. nim erisacur in puncto a recta aco, quae sic recta plano erianguli,
  17. (adc09; utrolq; angulos cnA, caB, rectos Faciat per 3d 11p)
  18. circumvolvatur circa rectam aB uc axem, invariaro angulo
  19. caB, donec ad licum plani VaB perreniat, Faciacq: in plano eri-
  20. anguli ansulum coaA acutum; quiminor erit anculo (acuros
  21. incellige, nih urerq; rectus lic,) inclinacionis Bllipleos exposi-
  22. Ex, (cum sIC, ex constructione, angulus AaB complemenco in-
  23. clinacionis major;) necesse ekut in erantieu aliquando fecerie
  24. angulum, inclinarionis ansulo aequalem, (Factus enim eseran-
  25. sirus ab ansulo recto, adcog; debito majori, vel Calcem aequali,
  26. ad angulum dehuco minorem;) adeoq; cunc fuerit im situ debi-
  27. c0

Cite

Qua Continentur De Angulo Contactus & Semicirculi, Disquisitio Geometrica. De Sectionibus Conicis Tractatus. Arithmetica Infinitorum: sive de Curvilineorum quadraturâ, &c. Eclipseos Solaris Observatio, fol. 62. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/824573315:0146?run=74