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[Lectiones XVIII, Cantabrigiae in Scholis publicis habitae] Lectiones XVIII, Cantabrigiæ in Scholis publicis habitæ, fol. 33

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. E B C Y. IV.
  2. iplius perpendicularis AB (quasi, retractus in ipsum punctum Z. ter-
  3. inatur. POrTO:
  4. VTII. Lomma: TIE AB ad E F normalis, _ a duobus in AB
  5. sumpris urcunque punctis A, I (quorum A proprius ip(I B) ad duo
  6. puncta quae ris M, N in ipsa P. P acceptis (quorum vero M lic ipli B
  7. vicinius) connectantur rectae AN, AN; EIM, IN; dico FOrC AN.
  8. AME IN. TM.
  9. Nam centro H per A describatur circulus P AOR (rectas LM,
  10. IN intertecans punctis O, R2) _ Per R duCAtuF R T ad. F. F parallela,
  11. secans IM in S. Ft ob angulum N R T obcusum, patet rectam R I
  12. extra circulum cotam excidere; unde SM C= (OMC) AM.
  13. aceoque AB. AME AB: SM:: R N. SM:: IN. IM. li-
  14. quet igItE eNsE A N. AMC IN. IM: OuodE. D. Hinc
  15. Si duorum radiorum AM, A N (quorum hic obliguior) retracti
  16. Ma, N a cum axe A Bconveniant punctis I, R, eric in primo calu lB
  17. RB: in secundo IBC RB. Ftenim connexa IN; est in primo
  18. catu, NR. MI: : N A. MAC NP. MI. adeoque NR L Y.
  19. unde BRC BI. ast in sCCUNdO, N R. MI:: N A. MA -~NI.
  20. MI quare NR = = NI; _ inde BR ~ BI.
  21. IX. Coroll. Retractorum in primo casu concursus extra angulum
  22. A BNverlantur; in secundo, intra eundem. Sed haec eadem in decur-
  23. su liquidius, ac multitariam constabunt.
  24. X. Porro, bina quoad hoscasus Theoremata subjiciemus, ulus traud
  25. contemnendi.
  26. r. Sitiat (in primo ca(u) ZB. AB:: I. V I9- Rg. SE autem CU- F18. 39
  27. jutrisincidentis AN retractus RN a; _ connectatur YNV: erit R B.
  28. XH: :V I9- RG. R.
  29. Nam ob Y Bg. ABg:: (a) Ig. I9 = Rg. erit per converti-
  30. (a) FypoIh.
  31. onemrationis YBg. TBg - AB9:: I9. R9:: (b) KNg. AN9. (3) a Mojus
  32. _c permutando ZBg. R HI g:: Y Bg - ABg. AW g. componen-
  33. doque YBg + RNg. RN9:: YBg + BNg. A N g. (RemDC
  34. YBg - AB9. + ANg -- TB9 + BNg; quoniam AN 9.
  35. AB9 =BN 9) Ouare rurtus permucando cst YB9. = R B 9.
  36. YB9. + BNg:: R Ng. ANg. diridendoque RN q - BN 9.
  37. YBq F BNg:: R Ng AN9. AH9; hoc est RBg. YNa
  38. :: l9 = Rg. Rg: O. F. D.
  39. S L. C61813
  40. Eie

Cite

[Lectiones XVIII, Cantabrigiae in Scholis publicis habitae] Lectiones XVIII, Cantabrigiæ in Scholis publicis habitæ, fol. 33. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/797435492:0057?run=74