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[Lectiones XVIII, Cantabrigiae in Scholis publicis habitae] Lectiones XVIII, Cantabrigiæ in Scholis publicis habitæ, fol. 62

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.

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The machine reads it as

  1. L. R C F. VTI.
  2. niam jam cAt R F (b) = N F; _CR F F C MF; perspicuum cAt
  3. reltare F F. = 2N M.
  4. Ita quidem ab una rectae B 9) parre recta B R duci porest, quxe mi-
  5. nores iplis M N incercipiac; (a) Porest aurem ab altera parte recta
  6. quoque duci, quxe minores incercipiae ipis F.F; unde rotum liquet
  7. Propoticum.
  8. XX. In recta D Z sinc eria puneta D, E, F. in F sIE Vertex an-
  9. suli rectilinei B F C, cujus latera sCCCF recta D BC; DeF F vero
  10. ducta sIc recta F: C; porest ab F reca duci (Ceu F HI) FaliS, ut a
  11. puncto D projecta urcunque recta D R (it in hac a rectis FG, FH in-
  12. tercexta minor a rectis FC, F B intercepta.
  13. DUCanEUE P S ad F C, _ P R ad F B parallela; e in primo casu,
  14. ubi punctum F. puncto D ricinius est, (ob similicudinem triangulorum
  15. Ca) 29. haja F N M, F. K I) manifestum est Fore M H = IR; (a) Porest au-
  16. tem ab E duei recta (puta F HI) calis, ut iNTEFCCPEX P O minores sinE
  17. intercepeis MH; ergoliquet.
  18. In altero casu, ubi punctum F ip(I D propius, Tumatur SL. aequalis
  19. ipA C B; _ COneStaTIE F L; Fstque jam IR. MH:: FK. FN::
  20. DE. DC:: F C. FS:: B C. RS (6):: LS. RS (d) C QN.
  21. (4) 6. Lect. VL. MI N. quaproxter eAIR L ON. (a) porect aurem ab P. recta duci,
  22. ceu F HI, sic nE ab F. C, F II intercePEX OP minores lint interceptis
  23. L.N. quamobrem abunde conctat Propositum.
  24. XXI. Curram B A tangat recta BO in B, sitque recta BO X-
  25. qualis curra B A; Cumpro cunc in curra puncto quoxiam R conne-
  26. Etatur recta RO; erIt K O MajOT ATCUK A.
  27. Nam, quoniam recta minimum est incer bina puncta interrallum,
  28. eAt BR. J. RO = BO = BR .f. R A. ergOR AL RO.
  29. XXII. Elinc, utcunque sumpris (ad ea sdem conractis partes) duobus
  30. punetis R, L, connexique rectâ KL; Crit RL I. LOE RA.
  31. Nam, lupra contactum vertuS A, eA RL -f. LOE ROE R A.
  32. Intra vero, est RL + LBE RB (ex hypochesibus Archime-
  33. dais) adeoque RL + L OE KA.
  34. 8) Constr.
  35. E18. 73
  36. Fig. 74.
  37. (c) Constr.
  38. 218. 75.

Cite

[Lectiones XVIII, Cantabrigiae in Scholis publicis habitae] Lectiones XVIII, Cantabrigiæ in Scholis publicis habitæ, fol. 62. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/797435492:0282?run=74