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[Lectiones XVIII, Cantabrigiae in Scholis publicis habitae] Lectiones XVIII, Cantabrigiæ in Scholis publicis habitæ, fol. 127

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. P E C T. XII.
  2. rallela, sic rectangulum ex PM, PZ aequale quadrato ex C L (vel
  3. PL
  4. CLC
  5. PND. SILCM ANC. L Z =
  6. sPat. DKL. P
  7. CL
  8. Cvel sector
  9. L. C X subduplus spatii D R Z P) _ in C Z CapiAEE C p = PM.
  10. erie linea C e p iptus BM A involura; vel sparium. C. p C sparii
  11. DB.
  12. Fxemp. Sic A D B circuli quadrans; erit ergo (quod epraemonstra-
  13. eis Con(taL) Spat. D R Z P (2 seCtOFL CX). sect. BDM
  14. :: C L9. DBg. unde arc. L. X. AEC. BM :: CL. DB.
  15. quare ars. L CX = ang. B D MI == ang. DM P. unde ang.
  16. CHC ele rectus, adcoque linea 6 p C. est semicironbus.
  17. Coroll. 2. Subnorari potest, (i dua FguEX AD B, A D C analogx Fu-
  18. : DB. DB; erit reCiprOCE anS. 6C H. 6 C B:: DC.
  19. DB.
  20. 2. Illud etiam converse valet.
  21. 3. Sin CUEVX Crq C S6 suo modo analoex fuerint, hoc est,
  22. liutcunque a C projectâ recta C v S, habeant C v, CS Can- F18. 194
  23. dem perpetuo rationem, erunt hae similium linearum invo-
  24. lt a.
  25. Probl. Z.
  26. Data figura quapiam CC D rectis C6, CD, et alia linea68 fi5. 195
  27. comprehensa, ei comperentem evolutam delignare.
  28. Centro C utcunque de scribatur circularis arcus L. F (cum rectis C6,
  29. Coconstiruens sectOrem L C F) cum ductâ C R ad L C perpendicu-
  30. lari, (ic curra 6 P EI ita rectam C R respiciens, ut libere projecta recta F18. 196.
  31. C Z, CumptaqueCO = arC I Z ductaque OY ad CR perpen-
  32. diculari, sICOY ==Cp; porro ad rectam D A lic referatur curra
  33. BM F, UE CuM SITDP- (DAt. C67O
  34. L
  35. ; PM ad DA perpendi-
  36. cularis; (IE CtTaM PM =Cu; erit SpaTIMI DBFA ip(InS CC 8 evolutum.
  37. LotbtP. D LL L aeelo El Cbladletellus t Csoaa L1E. 1970.
  38. spiralio

Cite

[Lectiones XVIII, Cantabrigiae in Scholis publicis habitae] Lectiones XVIII, Cantabrigiæ in Scholis publicis habitæ, fol. 127. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/797435492:0369?run=74