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. 98

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. De Sectionibus Conicis.
  2. PROP. 40.
  3. ctum, (puta ratio + ad l in omnibus eadem) casdem
  4. habebunt A(ympEOtaS recAS, (puta CMI, Per Prae-
  5. ced.) Pruincgi ipse ad invicem syperbola Asymptotae.
  6. lempeica ad invicem approxinquabune ut carum di-
  7. llancia tandem cradat qualibet allignata minor, quo-
  8. riam carum quaelibet ita prope ad rectas Alymptotas
  9. accedic;) nec tamen invicem Occurrent, (quoniam
  10. Oedinatim- applicatarum quadrata B2 = c = I ni
  11. nora crunt, caeceris paribus, ubis major est; adc093
  12. EsO major quam FIo, atq; haec major quam FIco.)
  13. Si vero non sic (in variis ejulmodi Hyperbolis) ra
  14. tio cadem: Nec ealdem habebunt alrmptotas re-
  15. ctasi negi erunt ipse Asymptore; Ced vel se mutud
  16. lecabune, (nempe Li Hyperbola que majorem habet
  17. diametrumtran (verlam minorem habeat rationem t
  18. ad 1;) vel (Amajorem habeat rationem 1. ad1) de
  19. bicam appropinquationem non attinsent. ProuteZ
  20. premistis non cs dithcile demonstratu.
  21. Illis aurem, quas diximus, Fyperbolis Asumptoris, relpondent
  22. Hlyperbola coridem ejuidem Coniplanis parallelis secti; Ju_
  23. quidem quo propins ad vercicem Coni accedune, co ad Frian-
  24. Sulumi accedune propiiis; donec tandem Cin iplo coni verti-
  25. Ce,) eranelcente diameerotrantrerla, Hyperbola in Triangu
  26. dum (. vel siplacet, Friansuli crura) degeneret; cujus quidem
  27. Trianguli crura repralencant bina AIyPIOLA rect_.
  28. PROP. ALL.
  29. De Fyperbolae Dinmerris Conjueatis.
  30. Oppolitarum EIy perbolarum diametro trans-
  31. verle Ra Ordinatim BOnatuE recta per Cen-
  32. exum sCs, dicetur illa Diameter-conjucata:
  33. GUX

Cite

Qua Continentur De Angulo Contactus & Semicirculi, Disquisitio Geometrica. De Sectionibus Conicis Tractatus. Arithmetica Infinitorum: sive de Curvilineorum quadraturâ, &c. Eclipseos Solaris Observatio, fol. 98. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/824573315:0182?run=74