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[Lectiones XVIII, Cantabrigiae in Scholis publicis habitae] Lectiones XVIII, Cantabrigiæ in Scholis publicis habitæ, fol. 117

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: 0.91.

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

The machine reads it as

  1. P E C Y. XV II.
  2. Triogerens haud aspernanda. relinquantur isitur ei extera, mitii
  3. suttecerie, quod veriorem Phaenomena detegendi déclarandique me.
  4. thodum adnitus lim aliquatenus enucleare. pergamus ad alios casus,
  5. haudita pertractatos.
  6. XIX Objiciatur speculo MI B N D recta F AO, rectX C A (per
  7. speculi centrum C transcunti) Derpendicularis; adverto, ( Fuerit ipla Fig. 189..
  8. CR major quam C2, quadrans diametri BD; quod rectX F AC
  9. ad. infinitum utrinque protra tx ad totum circulum (ejus ad partes
  10. intelligo concaras limul ac convexaS) imaso absoluta. (quinetiam ima.
  11. s0 ad oculum in ipso centro C constitutum relata) exit Fllipsis. item
  12. si C A minor CiC, quam CZ, quod iplius F A C imaso absoluta
  13. (vel dicto modo relata) constabit ex hyperbolis oppoliris; (i denuo
  14. C A iplam CZ adaequet (vel F C per ipsum L eran(eaT) quod ad
  15. parabolam ejusmodi consistet imaso. Sed modum transgrederer hxc.
  16. jam asgrediens demonstrare. Expectent isitur. 1)
  17. ai
  18. I.: R. D ea, quae Tub finitam praecedentem propoluimus demon.
  19. LaCranda necessariam, alioquin notabilem, Conicarum Sectionum
  20. proprietatem imprimis ostendemus.
  21. Sic triangulum A C F, rectum habens angulum ad C; e inde. Fi8. 190.
  22. finire protractis lateribus A C, AB, in A C sumatur quod piaM, cLIM
  23. ctum Z, ducaturque ZC ad C si parallela; inseratur autem angulo
  24. CXC recta CL aequalis ipsI ZC; dico punctum indererminatum L ad
  25. sectionum conicarum aliquam contistere.
  26. II. Nempe primo, sic angulus A Temirecto minor (vel ACC
  27. C E) erit punctum Z ad ellixlin, qua determinatur hoc pacto: AN-
  28. suli LCP semirecti tiant (ad utramque rectxe CF. partem) liguet
  29. i rectaS. C. P ipsi A F. occurrere, pura ad puncta H, et 5. ab his
  30. 2d.

Cite

[Lectiones XVIII, Cantabrigiae in Scholis publicis habitae] Lectiones XVIII, Cantabrigiæ in Scholis publicis habitæ, fol. 117. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/797435492:0189?run=74