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[Lectiones XVIII, Cantabrigiae in Scholis publicis habitae] Lectiones XVIII, Cantabrigiæ in Scholis publicis habitæ, fol. 108

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: 0.86.

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

The machine reads it as

  1. L. B C F. ZV
  2. Hinc noro spaTIO ARL D COBNOICEtUT CUEVE AM B quanticaso
  3. ZVII. Irem, posito rectam TM T contingere curram A.M B, Fa-
  4. Etaque 6 v =- BC, compleroque Rectanculo a 6 y ab, SIEcurraO XX
  5. ralis, ut F X ip(I P Y aequetur; erie spatium Cintinite prorentum)
  6. ADO X X aequale Rectanculo abrit.
  7. PTam MBT. NR:: ZE, DA; HOC CAt RV. FO:: F Z. HB. _
  8. Ar X H B = F C: X FX. quare liquet.
  9. Elincrursus, explorato spatio ADOXX curra A M B innorescet,
  10. ZVIII. Duin adsumpea quapiam determinara (2, _ Facta rect a C s
  11. 26T. =R; SICvEraO X X talis LIE, VEM F. MP:: R. PX; eric rectan-
  12. culum asste xquale spatio ADOZL. ac inde comperto hoc spacio,
  13. curra prorlus innorelcet.
  14. Nam MI N. N R::NIP. MF:: F Z. R. adCOque MR XR -
  15. NV RX F Z; CCMpVZ pE = F GXFZ.
  16. Compluracalia possens adponi; sed vereor urlixe nimis quam LuHt-
  17. CerE VIdEAMIME.
  18. XIX. Adnotetur Paltem, hac omnia xque vera Pore, nec absimili-
  19. cer octendi, DOLITOCUEVX A M B convexa rectam A D spectare.
  20. XX. F. X Ostensis autem met hodus Facilis emeroit curvas (deosuuar
  21. nus) designandi, quae dimensionem admitrunt qualem qualem; nimirum
  22. ita procedas.
  23. Duamlibet (ribi quadancenis noram) aream trapeziam rectaneu-
  24. tam, duabus parallelis rectis AK, DL; rectâ AD; & linea qua-
  25. cunque X L. comprehensans accipesis. ad iltam vero sic reteratur al-
  26. FeTA ADFC, ut ducta quacunque recta FEI ad D L parallelâ (quae
  27. secet lincas AD, CF, R L punctis F, C, II) ad sumptaque recta de-
  28. terminata Z; TIE quadratum ex FH aequale quadratis Cx F C+, _L.
  29. quinetiam sic curra A Y B talis, ut ad iplam producta recta G, F 1, CIF
  30. rectangulum ex Z, _ FI aequale spatio A FCC; eric rectangulum
  31. ex Z, _ curVa A B aequale spatio AD L. R.
  32. E que procedir methodus, etiamli recta AI Donatur intinita.
  33. EXeMP. 2. SILKR L recta lineA; eTIE CUEVA C O F. Fyperbola
  34. 2. DiC dobn a . b orbntb Cuslo bbnbr tm 2d; e n
  35. F18. 2607
  36. T6F.
  37. 518. 160
  38. 18. 262
  39. X18. 163.
  40. Fi8. 262.
  41. ex 103

Cite

[Lectiones XVIII, Cantabrigiae in Scholis publicis habitae] Lectiones XVIII, Cantabrigiæ in Scholis publicis habitæ, fol. 108. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/797435492:0342?run=74