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[Lectiones XVIII, Cantabrigiae in Scholis publicis habitae] Lectiones XVIII, Cantabrigiæ in Scholis publicis habitæ, fol. 66

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: 0.87.

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

The machine reads it as

  1. P. E C T.
  2. 22.
  3. cenErum C) dirique sine duo puncta A, X; reperiendum est si
  4. circumterenria punctum aliquod; a quo ductx ad A, i recta, alrera sic
  5. alrerius rerexa. I Hlocit2 perticimus:
  6. 18. 92,93. Conjurgantur rectae A C, X C; ee tiat (scortim) ans. S = = an8.
  7. AC. X. e in Ed crure ansuli s sumpro libere puncto a ducacur e V
  8. ad Es. perpendicularis alrerum erus sceans in V; _ in V a prorracta
  9. CapinEuE ~V. = uV; cum dividatur z V in 8, ut (IC V P. DV:: XC. CA;
  10. verque punctum e crajiciatur rE sic uc sicnE. XY:: CX. CH. denique
  11. Har angulus C N xqualis angulo EuV; erir punctum N quale deli-
  12. deramus. Nam ducantur Z 1V, EV; SAac ane. C NC == ang.
  13. vy. adlumaturque PO = PN; ex connectatur XC.. liquet jam
  14. trarigula ZC. N, Er v Cimitia fore; nec non ipsa C NF, u ve;
  15. ex ipla X. P F, E ~P; ipsaque demun X FHI, EoV altimilari. Quare
  16. BF. XF :: ∞8. EP. _ XF. FN:: EP. PV. e ex Xquo PF.
  17. F. N:: 8 P. oV. e antecedenres duplando 2 PF. FH:: 2 ~ 8. pV.
  18. componendoque 2 P F -+ FN. FN :: 2 ∞ P + PV. PV. hoc est
  19. GF. FN: : 7 8. oV (hoc CA):: XC. C A. ducatur jam NL ad
  20. DC parallela; quare est ans. I. N C = an8. (1 = a18. XNC;
  21. e XG (XN): NL:: GF. FN:: XC. CA. POrrO HaL anS
  22. L. NEI = = ang. XC A, _ EIN protracta ip(I C. A Occurrat in M:
  23. eAque propterea rriangulum LINI. simile criangulo HCM, idcir
  24. coque HC. CM:: HI. N. N L. ducatur denio tangens NC; cA
  25. que rum ans. PNO = rect - C NP = rect u N V _ == aBB.
  26. = 2X C A; vel 2 ang. P NC == 2nG XC A = ar8 L. NH.
  27. Veriim eFaL priuS 2 ang. X N F = aHg. X NLs erGO 2 anS ZN F
  28. 2 arBP NC
  29. = anS XNL - ang. L NFI. HoC CA2 anG X N C
  30. =ans. X NH. ergo cangens N O Disecat angulum XNH; indéque
  31. consectatur fore rectam HI M iplius X N reRenam; ac ideo esse XC.
  32. HC:: XHI. HIN. atquifuic prius HC. CM:: HN. NI quare
  33. Jam exit ex xquo XC. CM:: XN. N L. (hoc eAt etiam e PEXmIOM
  34. Atratis):: XC. C A. unde C M =C A. QuaPEOPTeEHM, ipsiuS.
  35. XN rehera transir per A: Ouod propolirum erat efficere. I
  36. VIII. Hujulee Problematis Ia generallus propolui. varis Guidemt
  37. calus lune (erenim vel data puncta jacene aribo extra circulim re
  38. Acctencem; vel ucrumque politum est intra circulum; vel unum incra:
  39. jacet, alterum extra; quinetiam in horum catuum unoquoque pluries
  40. conticitur negorium, alt ubique non ablimilis erit construetio, lane
  41. nimius essem; meamque pariter ac vestram pacienciam macerarem
  42. omnes intricai Problematis nodos erolvendo; suffecerit ejulce specir
  43. men aliquod proculisse.
  44. IX Adnora.
  45. Fem. Prared.

Cite

[Lectiones XVIII, Cantabrigiae in Scholis publicis habitae] Lectiones XVIII, Cantabrigiæ in Scholis publicis habitæ, fol. 66. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/797435492:0110?run=74