Leibniz Legible

Machine transcription of the Leibniz Nachlass

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[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 260

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: 0.84.

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

The machine reads it as

  1. SE Y DO - NI E SOL A B V M
  2. sancur GI, BL; spraese CI secet AB in K. Rectangulum igitur est circulo inscriptum
  3. GCDI. Icaque aequales m H, ElL, acque adeo aequales AK, EB. Sel il, C.D lC
  4. 260
  5. EL aequalia.
  6. tir aequalis. Abs L. B verorelecerur L. N ipu L. D aequalis. Iraque reliqua NB reliquae L.C
  7. Ac aequalis.
  8. culo AB, CD sesC lECAMEINF, ideDCH AC Ad L. C, SICUTF. D ad E.B. e componendo et
  9. ME COMPOSITA Ex AE, AM SCU FD Ad EN COMPOSITaM ExEB, BN SEUFC, SICUFFD ad
  10. EB. Ouarc est F. C ad FD, ACUT F. D ad E. B. EFprOindE CFIE VEAE. ad FC, ita F. C ad F. D,
  11. _ ita F. D ad FB. Ouod crar ostendendum.
  12. PeorosstIo ILI
  13. Si fuerint quatuor linex rectae continue proportionales: CFIEuECOmPON.
  14. ca c cribusprimis ad compolitam e cribus postremis, ita se cunda ad cerriam.
  15. Sint quaruor linex rectae continue proportionales A, B, C, D. Dicoesse, uc compottu
  16. ex A, B, C ad composiram ex B, C, D ita Bad C. Est enim B ad C, SiCuF A adB, X l
  17. cur C ad D. quare componendo est B ad C, sicur compolica ex A, C. ad compolicam e
  18. BD. Errurlis componendo est B ad C, sicur compolica ex A, B, C ad compolicam
  19. B, C, D. Ouod erar demonstrandum.
  20. Continua proportione inter lesmenta diametri: qux per exeremum inlct
  21. Pexe ducitur, ipsiperpendicularis, occurret diameero in puncto quo contu
  22. nuata est diamerer per interrallum inscriptae.
  23. Circuli diamerrum AB secer in lCrIpTa CD In E, _ GINESCBIMENTA AF, FC, FD, LBH
  24. conrinua proporrione, hoc CM, sITUE AE ad E C, ita F C ad F. D, _ iTa FD ad F. B. ExCtlC
  25. eancur in aequalia legmenea permulal, , LDesmenta aequalia Cune, et C L,
  26. Producaneur FB, ID se que mucuo secent in L. Frianoula igitur rectangulA LDE,
  27. FCK aequalium lunc larerum, ee aHoulorum. IEague L. B HC F A xqualis, 1d CH C D ex H1Y
  28. porhe(i. ABS FA igIEuT reSCCCTE FM IPI C L aGuaIIS. Ilaque Tegua M Teliquae L
  29. Ouoniant sBitur parallelX suNEFC, DL, aeque adeo triangula FCE, LDE CCUFCR
  30. sune similia, erie FF ad FL, SICUTE. C ad FV. EI LBaMCeHdo erit MF. difterencia into
  31. FM, FE ad EN diFFeTCMITAI IIeL LIV, CL, LICUE LC ad FD. Sed d quia in(cripEX CII
  32. lROPOSTFTO IY
  33. St diametrum circuli ita SCCeF in (CripEa ML LCZLACMLA LHCLAEX GINEH
  34. cur aurem ad C perpendicularis ips CD, occurrens dimerro BA ContinuaEx in F. DIC
  35. conmualtem a ipsi inscrixEX CD este dua. Caa C C POP
  36. 21
  37. Lopot
  38. pioporiis
  39. pplearur
  40. de duc
  41. Pirer
  42. DdentS
  43. osie
  44. drect

Cite

[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 260. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/845634801:0266?run=74