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[Lectiones XVIII, Cantabrigiae in Scholis publicis habitae] Lectiones XVIII, Cantabrigiæ in Scholis publicis habitæ, fol. 61

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. I. B C F VII.
  2. Est enim F C P, ac indeD C O; e hinCC E N.
  3. ZVII. Consectatur hinc; si Fuer ine quatuor linex HIBLI, OBC, FBF.
  4. F B F sele interlecances in B, ac ita versus se relatae, ut duct à vtcunque
  5. rectâ D H ad posirione datam D B parallela (in linea nempe DDD fijo, 68.
  6. terminat a) vel a delignato puneto D projecta DHI; lIE PerPAVODC
  7. inter D II, D F: eodem ordine media proporcionalis Arichmetice, quo
  8. DFincer caldemmedia Ceomerrice; linex E B6, E BF, sese mu-
  9. tuo contingunt.
  10. Enimvero linea C B LL extra lineam P BF. toram cadere manisectum
  11. epexcedente.
  12. XVIII. Ex isthinc etiam (quod srictim transcurrens moneo) di.
  13. verlis innumeris syperbolarum, aut superboliformium generibus corm F18. 70.
  14. venientes rectae a siuxrcroi detiniuneur. Sint nempe rectae VD, BD.
  15. policione datx; sine item alix dua rectae AB, VI; ducta vero li-
  16. bere recta P C ad D B parallela, (IE P B CONStAnEeF InCEF PC, P F e0-
  17. dem ordine media proportionalis Arichmetice, quo P F intex casdem
  18. media Geometrice; quia jam (4) recta L C, Le semper caridem ob-
  19. rinent rationem, cR linea o0 e recta; veriun linea V. F F est hyperbo, (a) 12 buje.
  20. la vel hyperboliformis aligua ( COUNIS quidem vel Apolloniana
  21. hyperbola, si P F Sic inter ipsaS P C, P F simplicirer media, sed alia
  22. dirersi generis quxdam hrpeiboliformis, ( P S Cic alterius cujuspiam
  23. ordinis media) atqui pacet epenulcima praemissa lineam e e eodem
  24. ordine respondenci linex V LE asymptoion esse. Quod an ressyu HE
  25. nelcio, nohis cerre raze zortuit, hic snoralle.
  26. XIX. A puncto altignato B ad datam. polirione rectam A C ductxe
  27. sint re tXtres BA, BC, BO; cum in OC producta sumacur sumprum Bis. 77.
  28. quodpiam D; per B recta (puta B R) duci porest (ad alterurras ipsi-
  29. us B O DorreS) calis, ut a D project d qu’acunque recta, ceu D N; (IF
  30. hujus a rectis B Z, B R intercepta pars (F F.) minor ejuldem d rectis
  31. BA, B C INTETCCDEa PaKTE (N M).
  32. Nam. prim, li B R ulera angulum AB C jaceat resrectu puncti
  33. D; Aac QR = C R; _ connectatur BR; tum utcunque ducacur
  34. DE, rectas secans, ur vides; e manifectum eAt, C Tupra MON n Pc 7. ZC5
  35. AratiS FORC, FE = L NM.
  36. Sin B C cirra angulum A B C cadaE rexIuS D; (a) ducatur recta
  37. B. FI Ealis, UF Q B Z, B EI intercepEx minores sine intercepris a BC,
  38. B A; _ TUIaTuEZIR = O C; e connectatur BH; cum carluS Fig. 73.
  39. utcunque ducta DHI, quae rectas intexlecet, ut exhibet Schema; quo-
  40. miaTa
  41. E
  42. Per
  43. VL. 8L. CE.

Cite

[Lectiones XVIII, Cantabrigiae in Scholis publicis habitae] Lectiones XVIII, Cantabrigiæ in Scholis publicis habitæ, fol. 61. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/797435492:0281?run=74