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[Lectiones XVIII, Cantabrigiae in Scholis publicis habitae] Lectiones XVIII, Cantabrigiæ in Scholis publicis habitæ, fol. 59

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: 0.88.

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

The machine reads it as

  1. I E C Y. VTII.
  2. uHK. CHI. = AC. KC - AK. RC = RK. K C. verum est
  3. HP. C. N. I AN. C.N = NP X AN. CN9. ergO CNIEAR.
  4. RC:: NP XAN. CN9. componendoque A C. KC :: NP (5. 79, 80.
  5. x AH + CN9. C N g. Cum CIE igituE NP X AN == AP K AN
  6. ANG. _ AP X AH = AC9- CN9; adeoque NYP
  7. X AN F C N9 = AC9- CN9- AN9 + CN9;= AC9
  8. ANg. erit AC. R C:: ACg. AN9. CN9: OuodF. D.
  9. Corolb. AR. K C:: ANTXNP. CN9.
  10. VI. Ftiam hoc Theorema subdemus: Si AaL 2 C A. CH::
  11. CN. F. _2CR. CH:: C N. F; _ lumatur C 9 = F 1 F
  12. erit ducta NO ad C A perpendicularis. vel reciproce; posito quod
  13. sIFNO ad C A perpendicularis; erit C9 = F = I F. 1I Nam (ut
  14. hoc posterius oltendamus) guoniam est 2 C A. CNI:: CHI. F.
  15. _CHI. 2 CR:: F. C.H. Cxir Cx aquo perturbate 2C A. 2 C.K
  16. 3:F. F. vel C A. C. R:: F. F. componendoque C A + CK. C. K
  17. 3: F- + F. B. Porro quoniam est AN g = AC g + CN9 2AC
  18. XC; erit 2 A C X CO - CN9 = A C 9-- AN 9. itaque
  19. (juxta praecedentem) erit 2 AC X C( - CNg. CNO:: AC.
  20. CK. hoc est (ob C N g = 2 AC X F) 2ACX CO = 2 AC
  21. RF. 2AC XF:: AC. CK. hoc est CO-- F. B:: AC. CK.
  22. vel componendo C 9. F:: AC L CK. CK. erac autem AC
  23. L CR. CR:: F + B. F. erBoC = F. + F: OuodF. D.
  24. VII. Fix ictis porro deducetur, si dividatur Semidiameter BC in
  25. Z, UE(IEAC. AB:: CZ. BZ; punctum Z limes erit cirra quem
  26. (respectu centri C) nullus hujusmodi rehexus axem decussabit. Cu
  27. jutris, inguam, radii a N estoreAexus CN. ari occurrens in K.
  28. dico Tore CRL CZ. INam ob hypochelin (permurando que) est AC;
  29. CL:: AB. BZ. isitur Canrecedentes, _ consequentes copulan-
  30. 40) AC. CZ:: AC + AB. C B. quare (posterioris hujusce
  31. rarionis urrum que terminum in aequales A C - AB, d BC ducen
  32. 40) erit AC. CZ:: AC 9 = ABg. C B 9. est autem AC 9
  33. ABGC AC9 -- AN93 adeoque AC9 - AB9. C B9.
  34. C AC9 ANg. C Bg:: AC. CR (emox ostenlis hoc) qua-
  35. prOPtET erit AC. CZC, AC. CR. indéque CR C: C2: FiB. 81, 82.
  36. D. E.D.
  37. vIUI salicer hoc sdere; ut quibuldata tortalle ridebitur, minus
  38. inrolure: per Nducarur V Y circulum contingens. e quoniam NI
  39. bilecar

Cite

[Lectiones XVIII, Cantabrigiae in Scholis publicis habitae] Lectiones XVIII, Cantabrigiæ in Scholis publicis habitæ, fol. 59. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/797435492:0099?run=74