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[Lectiones XVIII, Cantabrigiae in Scholis publicis habitae] Lectiones XVIII, Cantabrigiæ in Scholis publicis habitæ, fol. 67

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: 0.86.

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

The machine reads it as

  1. l B C 20 IZ.
  2. IX Adnotabimus tantum quod ex Prohlematis hujusce riatura cor.
  3. structione que proxolira laris accendenci constabie (urique licur in HI
  4. pochesibus antehac tractatis uberius est. declaratum) duorum tantum
  5. ad ealdem axis partes incidentium reAexos ad unum sele punctum de-
  6. cultare. nam aliorum unius (qui subinde. Porest dari) vel alterius re.
  7. Rexi per ejusmoci punctum transcuntes ad alteris parribus incidenres
  8. perrinebunt. (I Exhis quadantenus eluceseir daris puncti radiancis,
  9. oculique politione designari porest linea quaeris, in qua dicti puncti
  10. species apparebit; incumbic proxime punctum in ea pracilum deter-
  11. minare, ad quo eadem contictic. eo spectat hoc Theoremation.
  12. Z. Ab eodem quocunque puncto A manantes duo radii A N, AR Fi8. 95, 96i
  13. in circuli reflectentis periptieria prarer illum arcum N R Cguiinci-
  14. demia punctis interiacen) incercipinne arcum FS; corum verore-
  15. Rexi incercipiane arcuta e 5; erit arcus es aequalis summae vel diste-
  16. rencix dupli arcus N R, _ arcusPS. Nam (1) inprimatigura;
  17. cA PS + SR + RN = FN = N ∞ = ∞0 + 5R - RN. er
  18. 20, pares hinc inde SR, ec sR subducendo, erit PS + RN-
  19. 0 = RNI. proindéque PS t 2RN = ∞5. (2). in altera Egura:
  20. exic PS F SR - RN = P N = N ∞ = RN -+ R5 - 5∞. qua
  21. re rursus xequales anterendo SR, R o manebir PS R N === LL 1
  22. se unde iransponendo erito = 2 R ( -- P 5.
  23. XI. Erium hoc Cemmation adscribemus: Bilecetur recta AP in _, Bi8. 94.
  24. ec ubiris surmatur punctum A; exic P A = = fL L: td A.
  25. FA =
  26. J+: 2A 1
  27. P A L: AN.
  28. lano eI
  29. iai
  30. XII. Extiinc, ut propolirum cicius actingamus, Suppasico rattios HiB. 95, 90
  31. AN, AR (quoad calum pralentem) libi quam proximosincidere.
  32. punctum delignabimus ad quod iplorum reflexi N ∞, Rs conCurrunE:
  33. dicimmus nrique si dicti reRexi concurrant ad Z; bilectis subten(I5N P.
  34. NVD In F, _EF; FOrC FZ. ZH:: F A. NA. I Nam quoniam
  35. orcus NR, PS ex hypocheli sune indefinite parri (seu minimi) se ha-
  36. Debune uc sua subcenlx; nec non idem de arcubus e R, os dici porek.
  37. igiene arc. PS. RH:: PS. RN 3: P A. RA. (hoc eAt ob R A,
  38. N A nihil, ex eadem hyporheli, differentes):: P A. NA. ergo,
  39. biscomponendo, eric PS F 2RH. RBI:: P A F ZN A. W A.
  40. HOC

Cite

[Lectiones XVIII, Cantabrigiae in Scholis publicis habitae] Lectiones XVIII, Cantabrigiæ in Scholis publicis habitæ, fol. 67. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/797435492:0111?run=74