Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

[Lectiones XVIII, Cantabrigiae in Scholis publicis habitae] Lectiones XVIII, Cantabrigiæ in Scholis publicis habitæ, fol. 90

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 F. ZIII.
  2. alsimilancur. unde NK. R F:: ANI. NIF. seu permutando DIK
  3. AHI:: KF. HYF. exaE auteM prIuS RF. NF:: GF. F A : : CK
  4. CR. CAt igItIE NR. AN:: C.R. C. R. unde (juxta dictum TheO-
  5. rema) constat factum.
  6. ZIV. Ad constructionem istam adverrences anirmum, hujusmodi
  7. Facile Consectaria deduceris:
  8. 1. Si circulus C N H refringentem contingat ad HI; iphuS AH
  9. perpendicularis utique) refractus in R cerminabitur; _x aliorum
  10. incidentium retracti ad unas iplius R parres (ulrra nempe vel citra
  11. IE respedtuceneri, pro direrlirate casuum ab iplius A posicione retul-
  12. cancium) cadent.
  13. 2. Si dictus ille circulus refringenti non occurrat omnino, Problema
  14. constructionem respuet; nec ullus retractus punctum R permeabit.
  15. 3. Si circulus ON H refringenti coincidat (id quod facile concipi
  16. Pocele, ec in aliquo revera calu continsit) omnes retracti in punctum
  17. KconAuent. 1) Eixc _ alia constructionem iltam consectantur soler-
  18. ter expanlem; quorum saltem nonnulla haud abs re fuerit exerriiis
  19. octendi; relut hoc imprimis palmarium.
  20. ZV. Situerit AB. CR:: BZ. CZ; dico punctum Z esse limi-
  21. tem, ulira vel cirra quem nullus retractus axim intersecar, Peu per-
  22. pendicularis ipsius A B retractum in Z terminari.
  23. Nam cujusrisincidentis AN refractus axi occurrat in R, erit ideo
  24. CK. CR:: NK. N A. ergo quum AE CR. CZ:: AB. BZ;
  25. erit C R. CR F CR. CZ =-NR. NA + AB. BZ.
  26. L. Est aurem (in prima figura, ubi pancta L, e K Tunt ad partes
  27. centri, vel ubi retracti ad axem directe prOCurrenEeS COnVergunE
  28. BRL NK, _ AB = S ABI, adeoque BR. ABE NR. N A.
  29. ergo CK. C R . t. CR. CZBK. AB + AB. BZ. hoc est
  30. CK. CZ = 3BK. BZ. vel inverse permutando BR. C KRC BL.
  31. CL. diridendoque BC. CRE BC. CZ. ergo CR ACZ:
  32. adeoque punctum P supra Z exictit, versus centrum; quod exat pro-
  33. Polium octendere.
  34. 2. In secunda vero fguras ubi puncta Z, R ad alteras supra punctum
  35. A PaTteS a CentrO avertaS CadunE) connectatur subtensa BN, _ du-
  36. Catur AS ad RH parallela; haec secabit angulum B A. HI, majorem
  37. ip(O BKNB, vel B AS; e cum angulus AB H sic obculus, erit AN
  38. E. AS. adeOgneRN. A NT =SKN. AS:: K B. A B. erit etiam hie
  39. isitur (ur Cupra) C H. CZ BB. BZ. vel permurarim C. R. BR
  40. F18. 237.
  41. E18. 238.
  42. 18. 139.

Cite

[Lectiones XVIII, Cantabrigiae in Scholis publicis habitae] Lectiones XVIII, Cantabrigiæ in Scholis publicis habitæ, fol. 90. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/797435492:0142?run=74