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[Lectiones XVIII, Cantabrigiae in Scholis publicis habitae] Lectiones XVIII, Cantabrigiæ in Scholis publicis habitæ, fol. 123

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 B C F. XVIII.
  2. buie, solertia quadanrenus elucescere rideatur, seu ratio quaedam astie
  3. nari possic, cur oculi fundus Sphaero dieam (aut ali hac non mulcuim
  4. abludentem) nacta sic figuram. quia nimirum illa planorum objecto.
  5. rum modice distancium (quibus in distinctius apprehendendis po.
  6. tissimus versatur ulus) excipiendis simulachris est accommodatiltima.
  7. Sed hoc ra seosto5..
  8. V. In reliquis refractionum casibus paria FerME CONLInGUNE, quos
  9. ideo tacitus praeterlabi possem; at minuendo restro labori, seu quo
  10. clarius e promptius de iis constet, non grarabor _ illos robis ob
  11. oculos ponere: nempe
  12. Rarioris medii circulo M B N objiciacur recta F A C, cuinormalis Fig. 299.
  13. CA; sicque punctum Z. puncti cujulris F, in PC sumpri, imago
  14. absoluta; _ Z X ad C A perpendicularis: ac C A. CR: : I. R;
  15. _R A. CB:: RC. C F; BE iPLI R F COMIIEXX OCCUTRAE ZZ prO-
  16. tracta ad FI; exitque ruxlus X HI =C L.
  17. Nam eA C A. C R:: (E C XMZ. FM K CZ::) FC XCZ
  18. F C X C,M. FC X CZ -CM X C Z. QuarEC R X FC XC Z
  19. CR X FC X CM = C AXFCXCL = CAXCMXCZ
  20. =CAZECKCZ = FCXCMXCX. ac inde CR XCZ.
  21. CRXCM = CA XCZ =CM X C X. transponendoque C R X
  22. C7 = C AXCZ = CRXCM = CXRCM; hoc est RX.
  23. C2:: AR. CM:: RC. CP:: RX. XH. quaproprer est C Z
  24. XFI.
  25. VI. Hlinc dilucide rursus apparet rectae F A C imaginem abColu.
  26. tam (vel ad oculum in centro C licum relatam) (I R CE CF, el
  27. sipticam Fore; sin RC = C F, Fore parabolicam (quarum lcctio-
  28. num pars anterior E. P E ad convexam circuli retringentis parrem FIB. 200.
  29. MBHI percinct, posterior Y FF Y ad caram L DL). Ouod s
  30. fuerie R C = QR F, ejusimago hyperbolicaerit; e quidem hyperbola
  31. YTY pars superior P T F ad circuli partem NB I reterenda est;
  32. pars aurem interior Y F P Y una cum cora hyperbola 5V C ad partes
  33. concaras L DL perrinebic. nempe (i Tuerint rectx CR aequales ipsi
  34. CE, tota hyperbola CV e incerceptam punctis R rectae FC porrio-
  35. nemreteret, ejusque quod hine inde procentum superest ab ipla YL F
  36. repraesentabitur.
  37. VII. Porro, quoad omnes hoice cdius alaureeet poite
  38. sectionem eandem conicam innumeris rectis lineis ad dirersos circulos
  39. R 2
  40. C0B.

Cite

[Lectiones XVIII, Cantabrigiae in Scholis publicis habitae] Lectiones XVIII, Cantabrigiæ in Scholis publicis habitæ, fol. 123. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/797435492:0199?run=74