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[Lectiones XVIII, Cantabrigiae in Scholis publicis habitae] Lectiones XVIII, Cantabrigiæ in Scholis publicis habitæ, fol. 49

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: 0.89.

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

The machine reads it as

  1. L B C T. VI.
  2. metam intra quam nullus reflexus axem secat (vel perpendicularis
  3. iglius reAexum BZ. ad Z terminari). quia Temper C. VE C.l.3
  4. adeoque C RE C,Z.
  5. VIII. 2. PAFCF CNCR H = R C.
  6. 3. Patet FOre P N (2C), CN, C R-:
  7. IX. 4. Ducta tansente BT, productaque CNE, patet secan-
  8. tem C Pdistantia C. R duplam esse; _ FN = 2KL.
  9. X. 5. Manifectum est incidentis ad F (hoc est ad distantiam 60 FiB. 64.
  10. graduum à vertice) retlexum per verricem Btransire; proindéque
  11. reflexos omnium intra BF incidentium axem intra spacium BZ decussa-
  12. re: Sed omnes extra B F rellexos ultra B cum eo conrenire.
  13. ZI. 6. Perspicuum est duorum hujusmodi quorumvis ad ea(dem fiie, 65.
  14. aris partes incidentium (uE ipTOrM MNP, ORS) reAexOS (ut
  15. ONR, HIRL,) productos se prius decussare, quam axem. Nam,
  16. ductis CR, CN, eAt C PL CV, adeoque CLL CR. undene-
  17. cessario rectae NR, R L, se decussabune, puta ad X.
  18. ZII. Tiinc ipsi conrexis partibus incidenrium resexi, N Co RII,
  19. anrortum procurrentes divergunt; adeoque nunquam uno plures
  20. idem oculi centrum permeant. unde speculum conrexum unicam lon
  21. binquiradiantis imaginem reddit.
  22. XIII. 7. NIOtetuE autem angulum GZ R (vel R Z L) a duobue
  23. retlexis comprehensum aequare duplum angulum N C R (hoc est
  24. suplum excessum angulorum incidentix). Nam anG. R X L = anB.
  25. ALR - 2HB. ARHI = 2 an8. AC R -. 2 anB. ACN = 2 an8.
  26. NCo R
  27. XIV. Pro Sequentibus hujusmodi Lemma proponemus: Intrian-
  28. sulo quoxium AB C recta A D bisecet angulum B AC; dico FOrC F, 8. 66,
  29. AB Y ACC 2 AD.
  30. In Isoscele resclara est; in alio proinde sIE ACE AB; CentrO
  31. que A per B ducatur circulus B X Y secans iplam. A D in X, _ AC
  32. in X. Subrenta BZ ducatur, iptamque AC secet in V; hatque
  33. VT ad AD parallela. denuo Tubrensa X Y ConnectaTuT. Fic quoni-
  34. am ans. XV C. major est anpulo XPV, vel arpulo B XD, vel ipso
  35. E

Cite

[Lectiones XVIII, Cantabrigiae in Scholis publicis habitae] Lectiones XVIII, Cantabrigiæ in Scholis publicis habitæ, fol. 49. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/797435492:0085?run=74