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[Lectiones XVIII, Cantabrigiae in Scholis publicis habitae] Lectiones XVIII, Cantabrigiæ in Scholis publicis habitæ, fol. 83

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. RrC
  2. NRF: _0
  3. L. E C Y. ZII.
  4. NL L: Z ∞
  5. =WX; item est-
  6. =C2. erit ergoarc FiB. 124.
  7. NR. NX:: NZ. GZ. quapropter erir (juxta pracedentem)
  8. NL. CZ = NO. N F -+ CF. C6.
  9. VIII. Porroliquet punctum Z ene locum imasinis, quem expe-
  10. timus, oculo conspicux in recta N constituto; utpote circa quod
  11. viciniorum ipsi NP radiorum refracti ipsam N a interlecant; qua de
  12. re multories esimus, ut piseat eo plura Ca onorcir.
  13. IX. Facile rero, Secundum Theorema praemissum, designatur
  14. vunetum Z. Ducacur nempe C. C ad retractum NR perpendicula-
  15. ris; e ad connexam C N ducatur perpendicularis C+V, _ per V
  16. ducatur V Z ad C R parallela, secans iplam N K in Z. Factum erit.
  17. Nam, connexa C E, liquer angulos GF C, GHC (circumdueti Fig. 125.
  18. nempe per NI, B, C, C circuli subten(xe C F: insistentes ambos) aqua-
  19. ri; hoc cst ansulos CFC, VOC requari. Quaproprer (utrique
  20. rectum adjiciendo) cori N F G, Z C V aquaneur. irem alterni
  21. ONE, VZC aequantur. ergo triangula CN F, V ZO Cimilia Tunt,
  22. unde NO. NF: : Z V. ZC. itaque. C F. CC 1 NG. NF =
  23. CF. C C + ZV. Z C. verum (ob retractionem) est NR. RC
  24. :: I. R:: C F. CC; hoc est NZ, ZV:: CF. C C. est igieur
  25. CF. C6 - + NG. RIE = RIZ, ZV + ZV. ZG. HOC CAC F.
  26. CO + NG. NF = NZ, ZO. eroo punctum Z conditionem
  27. obtinet, imaginis loco congruentem, e mox oltensis. adeo liquer
  28. propolicum.
  29. X. Ouin Subnoramus rectam NY K ad punctum Z ita dividi, uF sIF
  30. NZ. ZR:: NCg. CC9. Erenim cA NZ. ZK:: NV. VC
  31. :: NV4. VO9:: 169. C69.
  32. XI. Subjiciam de hoc e dictis consectarium Theorema:
  33. Fiat V 3R9. VTg - Rg:: CB. CO; ductâque ON ad
  34. CB perpendicularis circumferentia occurrar ad N; radii vero MXY
  35. ad CB paralleli refractus (ic NK, circuli peripherix denuo occur- Fig. T26.
  36. rensin Z; dico punctum Z. ese imasinem, qualem mox detinirius,
  37. oculo conspienam in ipsa NN R (IO.
  38. Nam (ductis C F ad MINI, _ CC ad N Z perpendicularibus.
  39. ae juneta CN) ob 3R9. I9 = Rg:: CN9. NEg. hoc ett
  40. BCC9. CEg CC9:: CN9. NVFg; erir diridendo +C 69
  41. M 3

Cite

[Lectiones XVIII, Cantabrigiae in Scholis publicis habitae] Lectiones XVIII, Cantabrigiæ in Scholis publicis habitæ, fol. 83. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/797435492:0135?run=74