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[Lectiones XVIII, Cantabrigiae in Scholis publicis habitae] Lectiones XVIII, Cantabrigiæ in Scholis publicis habitæ, fol. 93

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. l. P C T. ZI.
  2. pares subtensiS KD, M D, NVD; _c. erir spatium X ke d aequale (Pa-
  3. iiODR I.
  4. Nam est R MI. KP: : R T. K D. hoc est R m. RP:: RI. K d.
  5. unde km X l d = R P X K I. Similique pactO, M N. M R:: MS.
  6. MD. Peu Mn. P Q:: PZ. m d. unde m n X m d =- P O X PL.
  7. ac ita deinceps. unde constar Provolitum.
  8. ZXVI. Sin porro, persistentibus reliquis, adtumptâ quavis recta.
  9. 5. completoque rectangulo X L s h, curra DZ I calis intellisatur,
  10. uc lit MD. MS:: RG. PZ; erit rectangulum XB e h aequale spario L18. 130.
  11. DRI.
  12. NaI es PUFSIS R P. RM:: R D. K T:: R C. RI. adeogue R P X
  13. RI = (RMX k8 =) Rm X k S. SimiliterquePOXPZ = m n X
  14. 25. ac ita semper. Unde constat.
  15. FIinCNOTO SPALIO D R I COBNOLCCLIE QUAHEIEAS CUIRVED OK.
  16. Hlujusmodi vero complura deprehendet quisquis hanc Mineram De-
  17. nicius explorarie, ac exeussexit. Faciac cur id vacas d adlubes-
  18. cit
  19. XXVII. Uui Force nonnunquam erit (mihi subinde fuit) et hoc,
  20. epramilsis deductum Theorema.
  21. Sit curra quae piam V EHI (cujus axis VD, ba lis DHI) quam tansat uE-
  22. cunque recta F I. _E duCATUE F A ad HTD parallela. cum alcera Ra.
  23. TuatuX CuEVa CZ Z calis, ut a puncto F ducta recta FZ ad V D pa-
  24. rallelâ (quae balin D EI in L, curram 6Z Z in Z secet) ad sumptaq:
  25. quapiam determinatâ R, lic semper Id. A 9. Rg:: D. T. IZ; exie
  26. D A. AC:: Rg. SPac. DIZ C. (vel Facto DA. R :: R. DP.
  27. dustaque P Oad D HI parallela, exit Rectangulum D P O I par spa-
  28. HiODOZ F).
  29. Eriam hoc adjiciatur Theorema; nonnunquam usui Futurum.
  30. ZZVIII. Sic curra gualibet AMI B (cujus axis AD). sic item li-
  31. ReAKZL proprietate ralis, uE sumpto in AM B quocunque puncto F18. 1320.
  32. M, _ ab eo ductis recta MP ad curram AB perpendiculari (quae
  33. AXeT AD secet in P) e recta MC ad A D perpendiculari (quae
  34. CUEYAI RZ L sCceE in Z) siIc constanter G,M. M P :: AFC. AM.
  35. GZ; erit spatium A D R L. aequale semissi quadrati ex aECA AM.
  36. TIaC inguam, e prxecedentibus haud magna o pera collisantur, id
  37. vero lufficiac admonicum; erenim tic animus est paulo sublictere.
  38. a2 2 4 du L.
  39. L18, F310

Cite

[Lectiones XVIII, Cantabrigiae in Scholis publicis habitae] Lectiones XVIII, Cantabrigiæ in Scholis publicis habitæ, fol. 93. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/797435492:0321?run=74