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. 55

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: 0.82.

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

The machine reads it as

  1. PROP, 24.
  2. DeSectionibus Conicis.
  3. AP (Calcem producta) in C. Coccucturam aurem cerium ett,
  4. cum ipli parallela at cidem diametrO OccurraE, Duca in l, Der
  5. Praecedencem) Enincq; (propior para l LC ( 28), CP= q FC:
  6. ee propierea PF- pC5
  7. Tam Cubstiuis Cob commodiorem estcutum) idoncis
  8. Cymbolis, cAoPa P. PA = d. (id eoq; per praccd: PF - - pC
  9. 2d.) ep a0 EC- 8, (erBD DA DPt PA = at 5) DD = 9.
  10. ideoq DA- DA F∞D at C = g. _ DO = DC d ∞D = 2d
  11. 59.
  12. Eric isicur (propter Parabolam) PA. DA:: Pag. DO9. HOC
  13. CA d. at g:: p.
  14. 1. 12
  15. = DO9.
  16. Icem (propeer similia criangula) PF. PA:: DC. DO. HOC
  17. est 2d. P:: 2d 79. 2 =9p- DO. Ec C lumendo quadrata)
  18. 4d = 4d9 t 9 p. -
  19. 4d
  20. 21
  21. et e = a p
  22. Ergo (uerinq; diriiendo perpe e mulciplicando per 4d)
  23. 1d + 1d9t9 =4d Y4d8 =4d9. hoc eA C Tublacis uerinq. aequa-
  24. libue) 9=4d8. Adeog; inventa cA quancicas 9, adeoq; &
  25. puncta I, D. quibus Ordinacim applicancur DO, DO. Vera iei
  26. tur cApropolicio.
  27. Illud Syniherice sic demonstrabimus, premendo AnaIy (COS ve-
  28. Rigia.
  29. Diometro AP ducatur parallela an, per cujus punctum
  30. quodris Cintra parabolam) x, diieatur recta nC diameero
  31. occurrens in G, e parallela rangenei ab occurremi diamecro
  32. in F. Dico ao ejuldem Parabolae diameerum esse eiq; ordina-
  33. tim voni rC.
  34. Diametro AP ordinatim axplicetur ab, elq; paralsela du-
  35. Catur p diaMetrO OCCUErENS in P. EF sunco CymBola Pa- P.
  36. PA --d. P(3- a N - C.
  37. Tum Cumaneur in diametro verinq; a puncto P, aqua les re
  38. ctx PD (V 4de =) 2 V de. Choc est, duplum medie pTOPOr-
  39. eionalis incer A P, a ∞, recta s.) acq; punctis D, D, ordinacim.
  40. DONanEUE DO, DO, rectae rC Occurrences in (), C); quae cum
  41. parallelae sint recta re, AICUC recta BD C ex constructione) bi
  42. ECCBLIR

Cite

Qua Continentur De Angulo Contactus & Semicirculi, Disquisitio Geometrica. De Sectionibus Conicis Tractatus. Arithmetica Infinitorum: sive de Curvilineorum quadraturâ, &c. Eclipseos Solaris Observatio, fol. 55. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/824573315:0139?run=74