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[Lectiones XVIII, Cantabrigiae in Scholis publicis habitae] Lectiones XVIII, Cantabrigiæ in Scholis publicis habitæ, fol. 43

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: 0.89.

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The machine reads it as

  1. ut e cut
  2. XVII. Si a puncto quoxiam H in perpendiculori HI. M assumpto
  3. ducantur ad curram reCEX HINI, HIO; harum proxior HNI, remori-
  4. ore HO rectius incidet.
  5. Nam ducantur F N, F. O currx perpendiculares, _ IHI, R O ad Fi8. 34.
  6. iplam HM parallela. Fst isItuE anS. POR L anS. P. NI. Item
  7. ans. OHMC ang. NTHM. hoc eA anS. ROHIE arg. INHI.
  8. quare ans. FiOR. L ROHE ans FNI. ] INEI. hoc elt ang.
  9. FOHL ang. F NII. Unde constat Propolicum.
  10. XVIII. Elinc paret a perpendiculari progrediendo, (ab uno
  11. nempe puncto LI) jucidentium obtignitatem crescere, donec ad illam
  12. derenitur, qux curvam cansit, omnium obliguissima.
  13. XIX. Porro si intrortum jam sumatur punctum II, _ ab co in. fis. 25.:
  14. cidens HM (ic omnium currae incidenrium minima; exit H M curva
  15. pervendicularis, sen tansenti M T.
  16. Nam dic aliam M R cangenti perpendicularem esle. ergd TI R Apol. V. 32.
  17. AM. e masis HIO= HIM. quare AIM non eM minima contra
  18. Hypothesim.
  19. XX. Icem si recta FIM sic omnium ab HI currae incidentium maxima, xoll. V. 29.
  20. eric HIM currX perpendicularis.
  21. Nam Circulus C ENErO HI per M desCTiPEuS CXETA CUTVA EOTUS Ca- Fig. 36.
  22. det. ergo (I recta M T Circulum tansat, haec magis extra curram
  23. cadet, camqe proinde continset. Fst aurem ans. HI M T rectus. er-
  24. Boliquet.
  25. XXI. Hsinc SI M E sir minimae vel maximxe HI M perpendicularis; spoll. V. 30, 39,
  26. haec curvam tansct.
  27. Nam (i dicatur alia M X cansere; eric ideo ang. Z MH rectus, d
  28. par angulo TMHI: G. F. A.
  29. XXII. ExtinC Rrecta Y MI non (E curra perpendicularis; in ca
  30. nulla Cumi potes maxima, vel minima.
  31. Nam si surgi posset, esset ex eo ip(o YM currae perpendicularis
  32. contra ypothesin.
  33. ZXIII. SI EIM sic incidencium minima, _ intra IBTaHL scaCL Apot. V. 50
  34. punctum quodpiam I; exir eriam L M minima.
  35. Cume
  36. AP. V. 31: 4Y.

Cite

[Lectiones XVIII, Cantabrigiae in Scholis publicis habitae] Lectiones XVIII, Cantabrigiæ in Scholis publicis habitæ, fol. 43. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/797435492:0255?run=74