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[Lectiones XVIII, Cantabrigiae in Scholis publicis habitae] Lectiones XVIII, Cantabrigiæ in Scholis publicis habitæ, fol. 60

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. F18. 83.
  2. L E C F. VITI.
  3. bilecaE anoulum ANK. eriE AXT. PYR:: AT. TR. =+AB:
  4. BK. Quare ti L. AB F AN. NK 1BZ. AB + AB. B. R
  5. communem adsciscendo rationem B Z ad A B). est autem BL.
  6. AB = AN, NR = CZ. AC + AC. CK =CZ. CK et
  7. BZ. AB - AB. BR = BZ. BR. ergOCZ. CF 2BZ. BR.
  8. permutandoque CZ. BZ: 2 CR. B R. quin ee componendo C B.
  9. BZ= DCB. BR. ideo que BZ C BR; quare punctum Z centro
  10. propinguius est, quam ipsum R: 1. F. D.
  11. Coroil. Ilinc li puncta Z, C fuerint limites punctorum radiantium
  12. A, a (quorum A tir à speculo remoriiis, quam a) erit CZ = - CC.
  13. Nam elt BC. AB IBC, aB. adeoque compolite AC. AB -
  14. aC. aB. hoc est C2. bZ - 1CC. BC. Quare componendo
  15. BC. BZ. = DBC. BC. e inde BZ E BC.
  16. IX. Porro, consectatur e praemissis, quod si duorum guorumvis
  17. incidentium AN, AR retlexi GH, HR axem intersecene punctis
  18. H, L; eriE C.L, CR:: A C 9 - ANg. AC9- AR9. I Nam
  19. guoniam est AC. CK:: AL9- iAN9. C B9. itenque CL.
  20. AC:: CB9. AC9 = A R9. Crit ex aquo perturBATE C. L.
  21. CR:: AC9 - ANg. AC g AR9.
  22. X. Simili plane discursu, AI Fverit AC. AB :: C Z. Z B.
  23. erit CZ. C K:: AC g. - AN9. AC9 - AB9. d C L. C2:
  24. AC 9 - A Rg. A. C9 - AB9.
  25. ZI. Hinc perspicuum est obliquioris retlexi concurtum a CentrO
  26. masiselongari quam rectioris; quod nempe hECLL CK. Cum
  27. enim sIE A C g = AN qL AC9 - ARG; exit CL C CR.
  28. XII. Tlinc necessario duo quiliber ad ealdem axis parres incidentium
  29. restexi (quales NVR, R L) sese prius quam axem intersecabunt, pura
  30. 2d L. quo Potito.
  31. XIII. Adnotari porest angulum C X HI vel R ZL (a reftexris oc-
  32. currentibus inclusum) aequari angulo NCR una cum difterentia angu
  33. lorum incidentix; vel, duplo angulo NCR una cum ans. PI AR. (Prenim
  34. ang. RXL = aHG. ALR - ARN = ang. ACR. 1 CRI.-: a18.
  35. ACN .) C N R = aNG. ACR - ACH -+: aNg. C RL-
  36. CH R = ang NCR +: ang CRS -CNP. II Ouincriam ang
  37. ERS = CNP. = ange RC A F C AR =: aS. NC A +
  38. AY

Cite

[Lectiones XVIII, Cantabrigiae in Scholis publicis habitae] Lectiones XVIII, Cantabrigiæ in Scholis publicis habitæ, fol. 60. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/797435492:0100?run=74