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. 26

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. E E C T. III.
  2. CP a HF sita disponantur, ut latera P C, PH sibi congruant (un
  3. demajor ansulus C P a minorem FI P scomprehendet) cum centror
  4. Per sdelcribatur circulus _ s F ipsaS P C, P a secans punctis P, F; irem
  5. Connexa F II, CentrO HI per s transeat circulus HI M N iplaSHIP, HF
  6. Secans punetis NV, M; denuo connexa F s cum P C conveniat in L.
  7. FAque ja arg. a P A. ang. S PH:: SectOF F P S. SectOF SPF L
  8. Frians. F P s. triang. SP L:: F s. SL:: TrianS. FH S. SHLL
  9. seSOr MHIS. SectOF AHNI:: ans. FHIA. ang. sHP. est isi
  10. tux ang. a P N. ang. SDH = anS. FHN. ans. sHP. ergoque
  11. compolite ans. a P C. anS. SPHL ang. FHP. ans. SHP. Per-
  12. murandoque ans. a P C. a1is. F. HP = ang. SPHI. ang. SHIP. est
  13. autem HIF. P F:: HP. PS:: T. R:: G P. P a. adeoque F HI ad
  14. a C parallela; rel ang. FHI P = ang. a( P. ergO exit ang. a PC.
  15. anS. aC PE an8. si PH. ans. sHP. hoc eAt ans. a BC, a BP
  16. E ans. s BH. ang. SBP. vel componendo ans. G BP, ans. a B P
  17. E ans HBP. ans. SBP. Ouod erat demonstrandum.
  18. Corol. T. AnS. a BC. AS. a BPF anG. sB FI, AH9, A BP
  19. 2. An8. a BG. anS. PBOC an8. s BHI. P BFI.
  20. Opportunum est hoc Theorema conciliandis cum experientia pro
  21. posiris retractionum legibus. Or demirari subeat nuperrimum Opticx
  22. Harotabu
  23. sexiptorem, virum alioqui diffuse doctum, hujusmodi rariocinio leges
  24. iltas impugnasse: c In majoribus tamen angulis inclinarionis (iptis
  25. Tima sunc ejus verba) Fallum esse constar (principium nempe no-
  26. Rrum;) in his enim angulus retractionis major est subrriplo an-
  27. ic culi inclinationis; quod miti aliisque ex luculentis experimentis
  28. compertum est. HIXC, inquam, ille ravsoexei. Quali vero dixisset;
  29. numeri 6 d 4 simul accepri non conticiunt 10, quia numerum effici
  30. unt majorem quam 8. plane similis est discursus; non orum oro
  31. milius. Nam in retractionibus ex. gr. ad ritrum Factis si ponatur ad
  32. quamris inclinationem (puta graduum 15.) quod lic angulus retra-
  33. etionis suberiplus anguli inclinationis (quem ille vocat, incidentia nos
  34. ansulum appellare solemus) necessario, sicuti modo demonstratum
  35. est, eprincipio nostro consequetur, quod ad aliam quamcunque ma-
  36. jerem inclinationem retractionis angulus major exie suberiplo anguli
  37. inclinationis; nominatim accepta graduum 30 inclinatione juxra di-
  38. ctum principium insticutus calculus ansulum prabebit retractum
  39. 29. 24; ansulumque proinde refractionis 10. 36, qui 30 gradtuum
  40. INIENLEM ExUPExAT. Quare cum Colaristimus vir Fypochelin hane la
  41. Carresio

Cite

[Lectiones XVIII, Cantabrigiae in Scholis publicis habitae] Lectiones XVIII, Cantabrigiæ in Scholis publicis habitæ, fol. 26. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/797435492:0046?run=74