Leibniz Legible

Machine transcription of the Leibniz Nachlass

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[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 267

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. Cad Cd,
  2. CAadC
  3. AeTMUI
  4. sectaet
  5. plicet, d
  6. it
  7. Eeros
  8. E Y D O - HIE S OL A BY M.
  9. aequalis e parallela secans FC in O. Fric ioirur MIC differentia dimidia seemeneorum
  10. AC, CB. Er quoniam criangula rectan gula E AC, CBL suneSimilia, pFOPFeF LA, IL P2
  11. rallelas. ideo est CA ad F C, liCuE C B adCP, ex Sicur differentia inter C A, C B Ad MIHeren-
  12. tiam InEeC FC, CL. Sed differentia inter CA, CB est dupla CMI, e est C A Ad L. C, licur
  13. Mtad CO ob similicudinem eriangulorum COM, C F A. Ouare CO erie dimidia quo-
  14. que differentia inEeE FC, CL. atque adeo F. L. secta est bitariam in O. Compolica aurem
  15. CALL ExFC, C.A, CB. _ eAt uE AC ad CB, ita compot CnLC, CA, CDad composi-
  16. TAM eRCA, CB, CG. Itaque CL erir eadem quxe compoa ex C A, CB, C6. proinde
  17. GL, EF CTUnEIPE AB COIPOSIX ex CA, CB equales. AB d GIANDUS itaquICLO, OL
  18. aequales GL, E. F subducendo, sc FO aequalis ip(i OC. Intcribatur per O recta PO, ip(i5
  19. AB, HI Parallela secans HIA, IB in R, S. Fririgicur KS Gat vel HII, d CeA 2
  20. BIFALLALIM O HCHE AB, FIL InNI, NI, RE CTUNERP, S aGualeS. Dux igicur inscripex cir-
  21. culo FO, P Secancur bitariam in circulo. Ouare urr sue est diameter. Fsigirur dia-
  22. Metex FC. Daraisiturrecta AB, _ in ea puncto C, AVentus est circulus AFB cui dat2
  23. AB intetBITGE, _ cum diameter FC eam ableMe Mcato C puncto, existune segmenra
  24. AC, CB in concinua propostoneet LO, Cmurua legmenta diametri FC. Ouod
  25. PRDPOSTEIO XIII.
  26. SI FHICTINE GIALIOTFECtX CONFINLIC DEOPOLCOMAICS: CHILDEWIHCTENEA eX
  27. cribus pilus aalccundam: e ita compolitac tribus poltremis ad tertiam.
  28. Exponacur circulus ACBBC ametet AB lecec inscripeam quamcum que C.D ul
  29. E, ITAUEAE, F.C, ED, EB ine in concinua proporcione. Id enim heri posse lecundum
  30. quamcum que rarionem datam expolicum est. Cum igirur CD secabitur in C_ D per
  31. Pendicularirer a rectis CF, DO, occurrencibus ip(EE A in F, O. FFIMEFA, BO ipsi CD
  32. aquales. Sic AureM FLCenErUM, per quod secetuF CD ad rectosanguloSin I. F. sigituE
  33. AI dimidia compolita ex exrremis. C I dimidia composica exmediis, HIE dimidia diffe-
  34. reneia extremarum, F. L dimidia differencia mediarum, F. A rel BC compolica exmediis,
  35. cremarum ad difterenciam mediarum, ita adgresatum extremarum, plus
  36. duplo adoresati mediarum ad adoregatum mediarum: _ ita COMPOIIEa C
  37. FE compotira etribus primis, EC exrribus postremis. Eadem aurem est ratio torius ad
  38. lorum quae parris ad parrem. Dicoisicur eNeur HE. ad EI, ita FFL ad LC, _L ita FF ad LC.
  39. al ira FC ad F.D. Id aurem est mae P aSOIH ILLL.
  40. E. C, GF. D.

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[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 267. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/845634801:0273?run=74