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[Lectiones XVIII, Cantabrigiae in Scholis publicis habitae] Lectiones XVIII, Cantabrigiæ in Scholis publicis habitæ, fol. 113

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. L R CT. ZII.
  2. C 2 Pecans in Y, hyperbolam in R) _ connectatur C. R; erir spatium
  3. ACIY a sectoris hyperbolici F C K daplum.
  4. Nam est C. Ig. C Ag:: ASg. C Ag:: F M9. C Fg:: C A9
  5. =CFg. C Fg. componendoque, C I9 .]. C A9. C A9:: F18, 169.
  6. C Ag. C. F g. hoc elt (ex hpperbola nacura) IR g. C A9:: C A9.
  7. CFg. velIR. C F:: C F. IY. itaque spatium A CIY a sectoris
  8. F C R duplum esse perspicuum cA e praecedente.
  9. ZI. CoroIl. TIinC (I PolOF, Chorda C B, Sacirta C A descripta SIF
  10. Conchois AVV, cui occurraE Y F M producta in V; exit MV = F Y;
  11. adeoque spatium AM V spatio A F Y aquatur.
  12. ZII. Unde spatiorum ejulmodi Conchoidalium dimonsiones innotelcunt.
  13. XIII. Nescio, an operae sit hoc adjicere Corollarium.
  14. ZIII. Sit reCtA A E rectae RS perpendicularis, _ C F =C A;
  15. linrque dux (Cibiet inver(x) Conchoides AZ Z, E YY ad eundem
  16. polum E, communemgne reculam RS delcripex, ab P. vero ducatur
  17. utcunque recta P YZ (lineas incerlecans, ur vides) sic eriam hyperbole F18. 170.
  18. aquilatera PRK, cujus centrum C, semiaxis C F; dud ique IR
  19. ad AF. Parallela, connectatur CR, erit sparium quadrilineum
  20. AFOTEPA (reCtIS AF, YZ, _ conchis FOY, APZ compre
  21. hensum) xequale quadruplo sectori Fyporbolico F C R.
  22. Nam RICOntrO F per C ducatur arous circularis C X; e dictis Faci-
  23. le colligetur spatium A P L IC eequari duplo sectori Byperholico F CR
  24. una cum sectore circulari C F. X. item sparium F OYIC xquari duplo
  25. sectori F CK, dempto sectore C FX.
  26. Ita quoque Facile colligas. DucantuE Z F, YC ad CS parallela;
  27. e prorratiantur GYL, L IHI. ac ob IY =IZ, eAFZ. 1 GY=
  28. 2 C. I. de trapezium FC YZ = rectans. P. CL II = 2C C x CI.
  29. exsOPaTEF.
  30. Adnocari porest Silubet, ductâ A T ad CS parallela, prorracta-
  31. que FZ T, SiPOnaTIE N = 2 trianB. C F I - 2 lect. ECR; FOre
  32. (PaC. EZ T -) F OXF = 2II.
  33. Nempe N -) . C XI = SPaT. AZT. ∞ II - C ZI = spat.
  34. EOXF.
  35. ZIV. Adjiciemus etiam hisce cognatam Cissoidalis sparii dimentio-
  36. neM.
  37. iE demotion L CCusus Cemu L) Quem cansal recla
  38. AH; eique consruens Cissois AZ Z cujus scilicet haec proprietas est,
  39. e 21. 1.

Cite

[Lectiones XVIII, Cantabrigiae in Scholis publicis habitae] Lectiones XVIII, Cantabrigiæ in Scholis publicis habitæ, fol. 113. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/797435492:0347?run=74