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Machine transcription of the Leibniz Nachlass

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[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 300

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: 0.85.

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

The machine reads it as

  1. HI F O R F M A Z s
  2. Aeque ita deinceps; inverso ordine Theorematis sexei, prouc illie detot oaum est, nisi quod bini.
  3. 300
  4. alternatim locis affecoio s atentur.
  5. Si Rcetur (emicircum Fereneia circuli in parces quole que aquales, et
  6. insuper cujus Guadeatum adjunele minimae quadrato efticie quadratur
  7. diametri ad componca ex omnibus eductis duplam.
  8. ab A diametri cermino, rc Cx ad lCClOMCS L CUCAHEUT AB. AC, AD, AE, AF, AC, divica
  9. FMX. HaTUI GUE ExTTEMA alterNa, COMHCCtanEEran (VCTLX C RN, DSO, ETP, FVO. C.
  10. Fririgitur BN aequalis ipsCA.
  11. CN ipA AD, _ CO ipAAF, d D
  12. ip(IAF. codemquemodo, de rectu
  13. EP, EQ, FO, FX iildem sigillacim
  14. sumpris aquales osendentur. de
  15. CX ipsi BA aequalis, cruncicaque ic
  16. x AB, BN, CH, CO, DO, DI
  17. FP, EO. FO, FX, OX, aquales du
  18. Pla iplarum AB, A C, AD, AF,
  19. eE Prarerea ipH diametrO D
  20. vel
  21. AC. ad datur verisque AC diametet
  22. crune oirnes dictxe cum diamett
  23. AG, duplae omnium AB, AC, A
  24. AE, A F, AC. est aureM UE AH aC
  25. HIB, id es AB vel CF ad F A.
  26. HLR ad HN, _e R LadIC, ec 15
  27. 1O, _ SH ad KD, de H F ad RP,
  28. YN
  29. TLadLF, de VL ad L. C, 8
  30. AdMF, _ CM ad M X: ur ixicUE ABAd AF, ita A C ad omnes simul pespendicolata
  31. in diamerrum AC. ec permurando AB ad AC. ue A F ad omnes limul perpendicula
  32. irerum, eAt AH ad AB, id eA FC vel AB adt AC, uE HI R ad R N. et R lad R C, dt l
  33. SO, et SK adSD, et R T ad TP, _ T L. ad TE, ee L V ad VQ, de V M ad V F, a
  34. C
  35. ad CX, ergo uc AB ad AG, ita omnes AHL, R L, ecc. id est A C ad omnes tran lverlat
  36. mul: exat aurem uc DAet AC, Id AF adt Outes perpendiculares, exie isitur ue AB
  37. AC ira COmpOlITA ex AP, A C. ad omnes rransversas ex perpendiculares, e componeua
  38. uE AB ad A C ita compolica ex eribus AF, AC, AB ad compolicam ex omnibus)
  39. pendicularibus, omnibus eran (verlis, ec recta A C, id est (ut demonstratum est) 2d
  40. plam OnIu AB, AC, AD, AF, AF, AC. Ouod erar demonstrandum.
  41. Freoanemine prius aenica Mysteria, tam in Arithmeticis quam Ceont
  42. rricis, pandis Analytice sectionum Angularium.
  43. P R OB E E N A Y
  44. Datanumero ratione angulorum, dareratIOnEM LAFEFUM.
  45. Hloc abunde docuir Theorema z.
  46. P R O B L E M A L1
  47. Facere uenumerus ad numerum, ica angulum ad angulum:
  48. a termino diameeri educantur rectxe ad quaelibet sectionum puncta, estu
  49. minima educta ad diametrum, ita compolica ex diametro e minima, ee c.
  50. tur quoque de lemicirculus reliquus incoltoem segmenra prioribus aequalia AN, N
  51. OP, PO, CX, ZC, cum puncta xequaliter a diametri terminis LCOta COnReCtanEuL
  52. Sic lemicirculus in punctis A, B, C, D, E, F, C sectus in partes quorcunque aequales,
  53. ctis. quxe diametrum secabunc ad angulos rectos, sineque ex BHN, CIO, DKP, L L. C
  54. li
  55. deine
  56. re
  57. DrCI
  58. ca
  59. coxiu

Cite

[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 300. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/845634801:0306?run=74