Leibniz Legible

Machine transcription of the Leibniz Nachlass

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[Geometriae Pars Universalis, Inserviens Quantitatum Curvarum transmutationi & mensurae] Geometriæ Pars Vniversalis, Inserviens Quantitatum Curvarum transmutationi & mensuræ, fol. 5

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: 0.87.

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

The machine reads it as

  1. busaquales e parallella, a perpendicularibus proximis cer-
  2. minacae. Angulus BgSCs rectus ob gB tangencem, e ille
  3. perpendicularem 96; angulus quoque 095CH rectIS, dE
  4. ideo communem angulum 396 auferendo, relinquitur an
  5. sulus OgBaequalis angulo 693; triangulaigitur rectangula
  6. 09B, 593, suc limilia, _ proinde ut 93 2d96 ita 90 ad 9B, (c d
  7. NF 93 ad 96ica X dd 3H; _ id eo ut 9O ad 9B ica X ad 3N; &
  8. deitur rectangulum 90 in zVI nempe rectanoulum Nq CA
  9. aequale rectangulo oB in X: Codemodo demonstraeur rectan
  10. sulum P3 esse aequale rectangulo7 A in X, item rectangu-
  11. dum L.S essexquale rectangulo C. F. in X; dc id eo rectangulum
  12. rectae X inrectas 7 A, 9B,C F, limul, est aequale toci recti-
  13. LInEO ZPYNKLCS; eA ergo rectangulum X in rCCIS 7A,
  14. 9B, CF, Simul, maior mixcilineo P NL. IId2. currae in puncto
  15. Bhacnormalis D e ideo rectus est angulus DZ, sed
  16. rectus quoque est ansulus dis, de proinde commune aute-
  17. rendo nempe sid; relinguutur anguli ae quales SDn, D5:
  18. Lunc ergo criansula rectansula sD, 8D5, limilia; a ideo
  19. UE SId AaD, hoc CA _5 ad DX ita X ad stI, X ideore-
  20. ctangulum sEI in D5, noc cs rectansulum II4, aequale clt
  21. rectangulo Z in DX, hoc est, X in 7 V; sed rectangulum
  22. M4 est aequile rectangulo L. S, hoc est rectangulo X in C. lis
  23. e rectangulum s elt equale rectansulo N4. hoc est rectan-
  24. Sulo X in gB; _ igitur rectilineum ONMLIIISZ est ae quale
  25. rectangulo X in rectas FC, B9, V7 simul; est ergorectansu
  26. lum X in rectaSFC, B9, V7 Simul, minor mixcilineOPNLEI
  27. 82. POrro rectae FC, B9, A9, Simul lune maiores currA 79C. D,
  28. de rectae FC, B9, V7 simml, Cunt eadem curra minores, quod
  29. UErumq: PACCE ex ancecedente; de isitur rectangulum X in
  30. rectaS FC B9, A7, maius clc crlindrica luperticie luper cur
  31. Ya7gC D_ rectangulum X in rectaS F C B9, V7, eadem su-
  32. pertcie minus: sed demonstrarum est rectangulum X in re-
  33. CTaS FC, B9, A7maius ese miscilincO PNLHSE, de rectan-
  34. Bulum Rin rect AS L. C, B9, Y7. C0 dem mixrilinco cAC MInUS,e
  35. D1S

Cite

[Geometriae Pars Universalis, Inserviens Quantitatum Curvarum transmutationi & mensurae] Geometriæ Pars Vniversalis, Inserviens Quantitatum Curvarum transmutationi & mensuræ, fol. 5. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1047377675:0021?run=74