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[Lectiones XVIII, Cantabrigiae in Scholis publicis habitae] Lectiones XVIII, Cantabrigiæ in Scholis publicis habitæ, fol. 88

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: 0.88.

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

The machine reads it as

  1. E E C Y. ZI.
  2. spario. V D il e sirca axem VD rotato subduplum solidi ex spatio
  3. DRSH, itidem circaaxem V Drotato, confecti.
  4. Nam ob HIL. L C:: PD. DH:: D b. DHI:: D g. D it X
  5. DH:: D ab g. HSZDH; erIE HLXHSKD H =L C,XD +9.
  6. =DC X D Lg. Simili plane disCUrIU CFIE LR XL Z XDL =
  7. C BX CZG; dE RIXRXXDR =BAx BZ 9, ee c. atqui soli-
  8. dum prius est r: AZ g. ) - BZ9 + CZ9, _c. e solidum poste-
  9. rius est: DIXIX =)- DK XKX L DLK LX, _c. itaque
  10. ConAtAEPrOPOLiTum.
  11. TX. Elaec itidem omnia Limili ratIONC VeTA LUNE, CtIAM CI CEVA VFFI
  12. reCtA V D ConvexaS Luas parces obvertat. nempe quovis in curra aC
  13. ceptopuncto F; ex per hoc ducta FP ad curram V Fi PI perpendicu
  14. lari, ec E AE ad rectam V D normali, Factaque AZ == AP; erit
  15. sparium VD .+ = - 9: Sin quoque Hat A Y = V P; eric spati
  16. U VD EL
  17. Q. Et pariter quond extera.
  18. Fx his vero Theorematis quam innumerarum magnitudinum Cex
  19. iplarum immediate constructione) dimensiones invotescant, ab expe-
  20. rientia Cacile comperietur.
  21. X. Sit rurtus curra quaepiam V H ( cujus axis V D, balis DH)
  22. e linea DZZ Ocalis, u a curra puncto quopiam, cen F, dacta
  23. recta ET, gux curram cangac, ee recta F. IL ad balin paralleli, Cic
  24. gerpetuo IZ. aequalis ipli A E; dico spatium DHO spatio VDEI
  25. aeguario
  26. Aiquisecetur enim recta D H indetinite, punctis I, K, L, per qua
  27. ducantur rectX F IZ, FKL, GL. L ad V D parallela, currxque oc
  28. Currentes ad E E, G, unde dUCanEUF ReCtX F A, F B, C:C ad HD
  29. Parallelx, rectaeque F T, FT, OT (ut dE HT) curvam tangentes;
  30. linex vero sc, ut Schemamonstrat, interlecent. Pstque jam triangu.
  31. lum C:L. HI simile triangulo TD H (nam ob divisionem istam indetr-
  32. nitam arculus C:FI rectx instar censeri porest, catenus tanventi HT
  33. coincidens) guare LC. L H:: TD. DH; _ LC X DH = L. HI
  34. XTD; ICU CDXDH = LHXHO. Cimili raciocimio est B C X
  35. C
  36. k18. 224.
  37. F15. 125.

Cite

[Lectiones XVIII, Cantabrigiae in Scholis publicis habitae] Lectiones XVIII, Cantabrigiæ in Scholis publicis habitæ, fol. 88. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/797435492:0316?run=74