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. 193

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: 0.92.

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The machine reads it as

  1. PrOD. 192
  2. rithmetica instnitorum.
  3. tum sic numerum incegruns sine ulla adjuveta Fractione jute
  4. minore esse, Fractio prima, huc incegro adjuncta, quancitatem
  5. augec: led cominus aueer quo ipta minor lueric. HaC isITUIE
  6. Deima Fractio quancicarem auger, e quidem eou lq; VE jam, 9112
  7. Fuerac justa minor hac justa major. Hlujus aucem tractionis, co
  8. dem MAMENCEnUmeraEOrE, LI denOMINaEOF AUSCaTUE, (quod HC
  9. adjecta tractione Cecunca.) Fractio prima, adeoq; _ EOtA quan-
  10. ticas, adjectione secundae minuirur. Baec aucem diminutio co
  11. minor erit (adcoq; e coca quancicas major) quo ipliusle
  12. cundae Fractionis (manence numeracore) denominator ause-
  13. cur; quod sr adjectione certiae Fractionis. Tercia isitur tractio
  14. secundum minuic, adeoq: primam auset, uc d toram isicur
  15. quancicacem. Fx similicer in sequentibus. Puca guarrae adjectio
  16. minuie certiam, hoc est, auger, secundam, adeoq; minuic pri
  17. mam, cocamqi quantitarem. Ouinca minuie quarcam, adc09
  18. auseecerciam, minuic secundum, angecq; primam coramq;
  19. quancicarem. Adcog. Fractionum adjectio in locis imparibuo
  20. augec, in paribus minuie quantiearem: Ouod non de his can-
  21. cum, led de quibulris aliis Fractionibus ica (quoad denominacon
  22. res) concinue Fractis, incelligendum erie.
  23. Acqi hactenus Nobilissimi Viri mencem, quanta pocui brevi-
  24. tace simul acq; perspicuitate expolui; quaeq; de iptius methodo
  25. dicenda habuibrericor indicari.
  26. PROP. CZCII. Theorema.
  27. CTEc aequabilis Curra (non hinc inde (uBsuITanS) VC,
  28. cujus Axis VX, e Tangens invertice VI; unde
  29. ductis ad curvam rectis axi parallelis, ex ab invicem
  30. aequalibus distantiis remotis, harum Sccunda, Ouar-
  31. ta, Sexta, Octava, _c. ( in locis paribus,) sint ut
  32. 1,6930, 140, _C. (qui numeritiunt ex concinus mul.
  33. ciplicatione horum, IXE + 287 24 , =2 _C.) Erit, ut SC
  34. cunda adT ertiam (hoc cA, ut E ad numerum ipsIS 13
  35. o incerponendum.) sic Semicirculus ad Guadratum
  36. Diametri.
  37. SequiCUE CX PrOP 139, CF 135.

Cite

Qua Continentur De Angulo Contactus & Semicirculi, Disquisitio Geometrica. De Sectionibus Conicis Tractatus. Arithmetica Infinitorum: sive de Curvilineorum quadraturâ, &c. Eclipseos Solaris Observatio, fol. 193. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/824573315:0405?run=74