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[Lectiones XVIII, Cantabrigiae in Scholis publicis habitae] Lectiones XVIII, Cantabrigiæ in Scholis publicis habitæ, fol. 70

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: 0.84.

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

The machine reads it as

  1. I
  2. FiB. 100
  3. R. F C X.
  4. Z2.
  5. V. Elarum caluum primus ad unum duncaxat ab una axis parre radi-
  6. ura percinet, qui reliquos aliis casibus conrenientes medius dilterminat.
  7. de posteribus itaque duobus separatim paullo dispiciamus, Sit jam
  8. itaque primo A C = AC, = AV; unde quilibet incidens caro(+B V
  9. racius (uE A N) major erit quam A C; hujus iraque reHexus axem
  10. secet DunEtoK; dico, li semidiameter C B dividatur in Z; ut (IE CZ.
  11. ZB:: AC: AB; FOrC CK C CZ. etenim ob angulum ANR
  12. bilectum, erit A C. CK:: AN. NK. vel permutando AC. AN
  13. :: CR. NK. CA aUFeM AC. AB- Q AC. AN erGO AC. AB
  14. DCR. NK= SCK. BK. erpo cum lic, ex hypotheli, C L. LB
  15. :: AC. AB; erit CZ. ZB +CK. BR. componendoque C. B.
  16. ZB. = DCB. RB. inde Z BC RB; ICu C: L = C.R: G.
  17. E .D
  18. VI. Tlinc punctum Z. est limes intra quem, Vertus cenerum, nullus
  19. reflerus axemm intersecat.
  20. Coroll. HIinc (i puncta 2, E sine limices punctorum A, a (quorum
  21. A remOTIuS) erit CZC CE.
  22. Nam BC. AC - 1BC. ~C. componendoque AB. AC.
  23. aB. 2 C. HOc est LB. Z. C = EB. CC. vel compolice CB. Z C
  24. DCB. CC. ergOZCF SC.
  25. VII. Ouineriam erit in hoc catu; A N 9 = ACg. CN 9::
  26. AC. CK. Nam duCATUE K Had C H parallela, prOtrACtA AH
  27. occurrens in H; ec connectatur C P; _c eodem plune modo quo lu
  28. perius (in iis qua circa convexas partes accipimus) octendetur Pore
  29. ANKHP. CNg:: AK. CK. unde dirilim crit A N X N P.
  30. CNg. CNg:: AC. CR. eA aurem AN R NP = AH9-
  31. ANXAP = AN9-: AC9--CN9 = AN9.- AC9 1
  32. CNq; adeoque AN x NP = C N9 = AN9- ACg. ereo
  33. derum erit AN g - A C g. C NG:: AC. CR: G. F. D.
  34. NOretur; E Fuerit A C minor semisse semidiamerri circuli re-
  35. Rectentis, quod punctum A duos socoshabebit ad caldem cenrri par-
  36. res, quorum alter ad parres D, alcer ad B pertirebic; Cn A C major
  37. fuerit ilta Semisse, Focis qui ad diversos verrices B, ec D percinen,
  38. centrum C incerjacebis.
  39. de
  40. VIMI. Etiam hoc incerteram Theorema; praemittis contorme: Si
  41. Hiat 2 CR. C H:: CM. F, iremque 2C A: CN :: CN. F.

Cite

[Lectiones XVIII, Cantabrigiae in Scholis publicis habitae] Lectiones XVIII, Cantabrigiæ in Scholis publicis habitæ, fol. 70. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/797435492:0114?run=74