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. 85

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.

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The machine reads it as

  1. PROP. 36.
  2. DeSectionibus Conicis.
  3. plicatas. Nempe quia sic tam a quam et d(diametee
  4. intercepta, ex a0gresacum tranlvertae e interckptae)
  5. ausentur, adcoq; et corum rectangula, e propteren
  6. quadrata Ordinatim applicararum his rectangulis
  7. proportionalia, adcoq; e iplae Ordinatum appli-
  8. Cate.
  9. Et proptereas FIyperbolam ex earum lincarum nu-
  10. mero ese, quae tiguram non claudune; Cum Ordina-
  11. cim applicate (a vertice inchoando) perpetuo cres-
  12. cant, adc0g; e creleat crurum diraricacio, que idcir.
  13. conunquam Cunt deinceps coitura.
  14. Edeoqi et Hyperbole diametrum quamlibet non nili
  15. in unico Verticis puncto eidem Ayperbole occurreres
  16. Ouoniam nempe crescentibus continuo Oordinatim-
  17. applicatis Hyperbole curra a diametro magis conti-
  18. nuo resiliat, nunquam ideo deinceps coitura. Vertices
  19. enim Oppolici, quanquam in eadem diametro, non
  20. tamen unc in eddem Hyperbola, sed in OpDolcis.
  21. PROD. XZXVI.
  22. Derecta Fy perbolam contingente.
  23. Ecta Erperbolam contingens diametro producta
  24. ad
  25. inter verticem ex centrum occurret. Punctum ve-
  26. rO COnCUELUS SC InGUITEMIS.
  27. Supponatur tansens at occurrens, in P, diamerro H A pro-
  28. ductae, eig; ordinacim- applicaca ae H. Supponatur eriam obi-
  29. vis eidem diamerro Ordinacim. applicata DO, cangenti Oc.
  30. Currens in T. Sicg; A VeTTCK, C centrum.
  31. Dicancur aurem Cob commodiorem calculum) Ha =- B,
  32. AA = = d, Aa - - 1, (id eog; Ha- 1F d, BC - = 1 F d,) HF - f, BL
  33. an (ide0g; DF =(L a DA = d = a D 3 = 1 d ut. a.

Cite

Qua Continentur De Angulo Contactus & Semicirculi, Disquisitio Geometrica. De Sectionibus Conicis Tractatus. Arithmetica Infinitorum: sive de Curvilineorum quadraturâ, &c. Eclipseos Solaris Observatio, fol. 85. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/824573315:0169?run=74