Leibniz Legible

Machine transcription of the Leibniz Nachlass

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[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 261

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: 0.83.

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

The machine reads it as

  1. isa
  2. c
  3. coMP
  4. Tet
  5. PSEY DO-ME SOL A BVM.
  6. proporrio inxqualitatis non equalicaris, de proinde CF, F D suneinaequales, non eric F.
  7. cenerum circuli. Teague recta FG circulum non canoet, sed secabir. Secel IBtt in G, 8
  8. compleacur parallelogrammum circulo inscriprum C C D L iplam que C l ablcindat A L
  9. in K, L aUCatHFR SIpH C C parallela, abscindens C D in S. Estigirur GR sCH CS HI
  10. E. D aqualis, _E E B ipA A K. Ee quoniam sune in continua proportione AF, LC, LD
  11. E. B exhypochesi, ideo crie F C ad F. D, SICUE COPOSITA ex A F, C D ad Compolitam et
  12. EB, CD. EF IADAACCNdO CFIEHE SE dIHCTCHCIA IBCCI L S, L DHACSAdL D, II2 IEF
  13. 262
  14. ear Breual. Lgo LA a GlaoPCB. uoca.
  15. difterentia inrer A L, L B lCu A R 2d COmPOHLAI CA LB, C D SCdCH GuOgne VES F ac
  16. ED, 1Id R F 4aF K. O_ALCF R CaDCHICH qua COMPMMTa exEB, C D. Verinque dema-
  17. P ROPOSFFIO V.
  18. Circulo dato e inscripea: per centrum circuli ita secare inscriptam, ut
  19. eomenta in (eripex line in continua proportione inter legmenta diametri.
  20. enero recta AF compola ex AC, CB xequalis, lecans circulum in 6, Fl, iplat Ve10
  21. Sit datus circulus, cujus A centrum, dara quoque ir scripra BC. Oportet Facere quod
  22. Popolirum est. Agarur diameret CHL, e uC DL C COAHIAI, CWIHALEE ex A
  23. BC in I. Ouoniam ioitur angulus C B F. est in lemicirculo, ideo est rectus. Lit aurem
  24. AG Fi ex ByoOthe ipSI A C B aequalis, eaque secat circulum in G, H; BC vero in l.
  25. Caare ex iis quae demonstrara lune, est ux C T ad IB, ita B T ad IC, e ita C Tad LH. Cir-
  26. culo iraque dato cujus Acenrrum, data quoque in scripra BC, ita lecta eAt B C in LPCF A
  27. cenerum, ucin (cripra BC segmenta B L, LC sine in continua proportione inter mutua
  28. diamerri C LL segmenca C l, IFI. Ouod erartaciendum.
  29. Si secetur lnea recta inxquanet. meeea et emem sella ce
  30. eomentum, erit aequalis dimidix differenFIX (CGMENEOTUIM.
  31. Secetur A B recta inxqualirer in C, aequalirer vero in D. Fs igitur D C differentia
  32. inter AD semissem sectae. d A C majus segmentum, vel incer DB id est AD, e C B mi-
  33. hus scementum. Dicoiplam D C esse dimidiam differenciam segmentorum AC, C B.
  34. Duplecur enim C. D in F. Cum isirur ab aequalibus
  35. D, DB anFerentUE aequalESD C, DF., HC A F.
  36. aequalis CB minori legmenro. difterentia aurem in- A L
  37. ex AE, id es C B, e A C est F. C, qua constructa eAt dupta ipusD C. Elt isicur DC
  38. ditterencia dimidia segmentorum ina qualium AC, C B, in guxe secta cA AB. Duod exat
  39. octendendum.
  40. P R O P OS F FF0 VI.
  41. P RO.

Cite

[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 261. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/845634801:0267?run=74