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[Lectiones XVIII, Cantabrigiae in Scholis publicis habitae] Lectiones XVIII, Cantabrigiæ in Scholis publicis habitæ, fol. 61

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. L B C F. VTTI.
  2. C AN = an8. NCR - J. NV AR. itaque rurHIS aBB. R ZL =
  3. 2 an8. NC R -: ars. N A R. Siguene isitur qux propolica lunE;
  4. in ulum (s FOrrC) sequentium. pro quibus iridem haec piopomenda
  5. TunE.
  6. XIV. Etiam palam est c dictis ip(o5 resexos C N, II R directe Fig. 83.
  7. procurrentes à se divergere; adeoque duncaxat unum tiujusmodi re-
  8. Aexum oculi centrum trantire; consequenter e puncti Atantumit
  9. nam a conrexo speculo imasinem extiberi.
  10. ZV. Temmaria 1. Sint quaecunque eria quanta A, P, C; primo-
  11. que sic A. BF B. C; dico FOrE A + CE 2B. POnatuE enim
  12. tore A. B:: B. F:. erit ergo A F. F C 2B. quinetiam exit exgO
  13. B. EL B. C adeoque CF F. ergo magis A + CC 2B.
  14. 2. Sic (iildem achibiris quantis) secundo A - . C - 1 2 B. dico
  15. Fore A. B = 1 B. C. nam sive dicatur esle A. B:: B. C. vel A. B
  16. B. C. Sequetur verobique Fore A L CC 2B; contra hypoche
  17. lin. itaque pocius est A. B 7 B. C.
  18. XVI. Ftiam hoc adjungo. Si duo sumantur ad casdem axi partes F18. 84
  19. circulique convexa parte comprehensi) sibimet aequales arcus NIR.
  20. RX; S ducantur rectae AN, AR, AX; erit ANg-, AX9
  21. E 2ARG.
  22. Nam dueaneur C DI, C R, CX; _E demittantur ad A C perpen-
  23. diculares N F, R F, XG; CINE IreM NP, RO ad A C parallele
  24. ducancurque Sabcen(X NR, RZ.3 e quoniam ang. L Z =
  25. ang. NRP; PATCE esse RRZ. RO = ~ NR. NP; adeoque cum
  26. RX == NR, CxIEROE NP; Hoc eA EOC F.F, ergO2CF
  27. E CF = C C; UndC 4 A C X C FE 2ACXCF - L 2ACK
  28. CC atqui est A N 9 = ACg. s C N9 - 2 AC X C F. _ AX9
  29. = AC9.J- C N9= 2 A C X C C. _2 AR 9 = 2 A CG sn
  30. 2C N9 = 4 AC X C F. ergO AN 9. s A X gC 2 AR9.
  31. Addo, sequentium gratii, si punctum A lumatur ad alceras (infra
  32. centrum) parres; e reliqua limilite aPPATEHEIIE, FOTC COnEVI, LUM
  33. AN 9. f. A X g = 2 A Lg. nam in eo calu est A N g- ). AX9
  34. = 2 A C9- 2CN9. 2 A CX CF 2 AC X C C. _
  35. 2AR9 = 2 AC9 + 2CN 9 - 4 AC X CF. unde liquet prO-
  36. Politum.
  37. XVII. Sinc jam ad ealdem axis parres duo quilibet equales arcus
  38. VR

Cite

[Lectiones XVIII, Cantabrigiae in Scholis publicis habitae] Lectiones XVIII, Cantabrigiæ in Scholis publicis habitæ, fol. 61. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/797435492:0101?run=74