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[Lectiones XVIII, Cantabrigiae in Scholis publicis habitae] Lectiones XVIII, Cantabrigiæ in Scholis publicis habitæ, fol. 72

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.

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

The machine reads it as

  1. L RCF. YZ.
  2. icerlecans, uc expressum vides; eAtque jam PR. PL:: (a) M. V
  3. (b) GF. GF(O)E PE. PFC PR. PF; quare P L = I P F
  4. ItuE Flyperbola L BL curram EB F cansit. Prorracta jam TB
  5. CHITI ZZ Conveniat in R; CAEgLE TUM RZ. ZB:: BS. SP. unde
  6. RL X ST = = BSX D.B= B5x SX. atqui PrOPteF DS. SX:: (d)
  7. B5. ST, eAtDSxSY = BS XSZ. erGO RI XST =DSxSY
  8. =DSx CX. vel RZ. CX:: DS. SI; ComposILEque RL. RZ
  9. .CZ:: DS. DT:: (d) N. M:: CZ. CZ -t C X. ItaqVC
  10. divisim estRZ. CZ:: C Z. CX. adeoque RZ =C Z. unde R B
  11. hyporbolam L. BLransit; haec igitur (R BT) curram FBB, ipsI
  12. L. B Lcontisuam, quoque tanget. quod erat ProPOTTum.
  13. VII. Hinc (i persistentibus reliquis, recta tantiim D P jum intex
  14. DO, D F perpetuo Geomerrice media Ctaruatur (eodem qui prius tuit
  15. ordinc) eadem BT curram F B F quoque conting et.
  16. Frenim ex mediis ejuldem ordinis drithmetice Geometricéque pio-
  17. portionalibus efformaex linex se mutuo continsumt, adcoque commu-
  18. ni rectaransente saudent.
  19. VIII. Porro (stantibus reliquis ut in postrema) quodris in curra
  20. FB F designetur punctum F, qux curram ad hoc tanset recta simili
  21. Pacto deterinatur.
  22. Connectatur urique recta D F curram P. B P. secans ad F; irem du-
  23. catur D O ad DC. perpendicularis ipsam P O intersecans ad X; Hat
  24. CrIaM D Z. DY:: N. M; e connectatur E Y; ipsi demim F P Pa-
  25. rallela ducatur PZ; haec curram F B F continget.
  26. Nam centro D per P ducatur circulus C F I; concipiaturque linca
  27. E FHcalis, ut a D educta quacunque recta DI (qux circulum C F.
  28. seceF In. I, CUrVa HI EHI in H, _x iptam FB P in L) SE pepertuo
  29. DE eodem inter DI, D L ordine proporrionalis, quo D P inter D C,
  30. DE; palam est tunc (e praecedence) quod recta F P curram HFH
  31. tanget; verum ip(I HI E H (a) analosa est curra FB F; (b) quare
  32. recta F Z curram P. B F quoque tansct.
  33. Fxhinc nedum innumerarum spiralium; ac aliarum diversi generis
  34. infinicies plurium cansentes quam prompre determinantur.
  35. 1Z. Hinc clarum est, (i dux linex F P F, F F F SiC ad se reteran-
  36. cur, ut a puncto quodam. D uccunque projectis rectis D P F; habe-
  37. ant le restx DB, uc quadrata ex ipsis D F, _ ad harum cerminos
  38. cansanE curraS rect ES, F F; cum perpendicularibus ad ipas
  39. DE.
  40. oners. 40
  41. Eect. VI.
  42. b TI. Lect. VII.
  43. cr. Lect. VII
  44. aConstr.
  45. E18. 98
  46. 9. Tect. VII.
  47. b3. Lec. VIII.
  48. 218. 99.
  49. et

Cite

[Lectiones XVIII, Cantabrigiae in Scholis publicis habitae] Lectiones XVIII, Cantabrigiæ in Scholis publicis habitæ, fol. 72. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/797435492:0296?run=74