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[Lectiones XVIII, Cantabrigiae in Scholis publicis habitae] Lectiones XVIII, Cantabrigiæ in Scholis publicis habitæ, fol. 82

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. F18, 2220
  2. 218. 123.
  3. P F C F. Z II.
  4. habeatur decerminatus; Tuccedit ut breriter etiam ipslimum in sin-
  5. sulo cali retracto punctum ostendamus, ad quod illa consistie. in cu-
  6. jus rei gratiam hoc quali Lemma prxsternemus.
  7. VI. In circulo A NI B, cujus centrum C, sint Semidiametro C A
  8. perpendiculares NF, R F; item Semidiametro C B sint perpendicu.
  9. lares N C, XHI; line auteM CF, F F ipsiS CC, OHI proportion
  10. les; _ arcnS N R, NIX indetinire parri; seu quali minimi dicta
  11. conditione praediti; dicimus arcum N R ad arcum NX rationem ha-
  12. bere conslatam c rarionibus ipsarum C F: ad CC, _ NC ad NE; vel esse
  13. ArC. N R, NX:: C F X NC. CGX N E. Nam per N ducaturV Y
  14. tangens circulum, ipsisque FR, HX occurrens punctis Y, V. eAt
  15. itaque (proxter Summami ex LIypocheli parricatem dictorum arcuum)
  16. arc N R. CN:: NT. CH:: FF. F:N, itEM C.H. AEC N X:
  17. C PI. NV:: VO. GH. quaPEOPEer erit arC NR. C N - CN.
  18. AFC NZ = (EF. ENI F NO. GH = F P. CHI-+ NG. FH
  19. =) CF. CO -, NC. FNT. hOC esArCNR. ATCNZ =CF
  20. C6-]. NO, FH: G. E. D. (vel arCNR. NX = C F XNO.
  21. C OX FN.)
  22. VII. Sit jam radii cujulris calis MNIP, retringentem intersecantis
  23. punctis H, P, retractus N a (retringentem nempe, denuo secans
  24. in ∞) huic autem indetinice ricinus (_ quali proximus) adjacear
  25. radius ORS, cujus itidem refractus R0 (retringenci nempe rursIs
  26. Occurrens in ∞), priorem N u decussans in Z. Bisecentux autem
  27. subrensx NIP, N ∞ punCtisD, E: Dicorationem NL ad O Z com.
  28. poni cracionibus N G ad NI E, SE C F ad CC.
  29. Nam ducantur recta C F (HXC ipSaM R S quoque SCcanS in F) _
  30. CG, nec non Clad Ro perpendicularis, e in protracta C ( su-
  31. matur C II = CI; _ per lI ducatur X Y ad N as parallela, seu per.
  32. pendicularis ad CH; unde est X Y = R5; _ arC NX = Y v: e
  33. AsC X Y = arC R0; adeoque arc NR F: ∞ ∞ = 2 arCN Z. FA.
  34. que prxterea C6. CF: : R. I:: C L. C P:: CFI. CF; adeoque
  35. permutatim C C3. CFI:: C F. C. F. ergo (jurta praecedentem) est
  36. arC. NR. NX = NC. N F + CF. CO. ad haec ob iltam (qua
  37. DOnituF) arCUUM NI R, SP, _o exiquitate, exit DEC NR. 00::
  38. Subrenta NR. 80:: NZ, Z0:: NZ. Z∞. ergo (inverse compo-
  39. nendo, vel diridendo, cum e consequenres sub duplando) arc NR.
  40. arc N P F. a 8
  41. N
  42. L
  43. aequi relur modo dictum)
  44. dec

Cite

[Lectiones XVIII, Cantabrigiae in Scholis publicis habitae] Lectiones XVIII, Cantabrigiæ in Scholis publicis habitæ, fol. 82. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/797435492:0130?run=74