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Machine transcription of the Leibniz Nachlass

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[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 243

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: 0.78.

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

The machine reads it as

  1. 1E, P
  2. (eCUNC
  3. EprOpO
  4. deM.
  5. unco
  6. deP
  7. C,
  8. c
  9. Con
  10. in
  11. E F R. E X.
  12. Centro A intervallo AB, aequali dimidixe Z. describacur circalus: cui inscribacur BC
  13. ipi L aequalis. Peoducatur aurem B C in D, Facta B D dupla ipsus B C, dE jungACUE D A
  14. cui agacur parallela B E indeEnita: producarur eriam D B indefinire in F, dt ab A puH-
  15. Ao ducarur ad duas BF, BF recta K A LG H; SecanSiptaS GC I D L, BL in punctis
  16. la luncincer eas dux medix concinue propoans, l. Subtalenaum ctal.
  17. dus, X aque altum; uc quod hc lub ditterentia balium iplorum e differen-
  18. tia lyporenularum, a quale sic dato cuicumque recti. lineo.
  19. Sit datum eriangulum rectangulum ABC, cujus balis AB, hyporenusa AC, altirudo
  20. BC. Oporrer invenire aliuderian gulum rectangulum majus, ee xque alcum; ut quod tc
  21. 5, TI, Ita UEGHI BE AGUANSIPH AB; CCuIS VeTOM POHCIIS I. K, GuouM proximius
  22. Pli HIGcI. Dico concinue propoltonales elle, L1V, C, BC. Quoniam enim constru-
  23. Clae lunr parallela DA, BO: ideo esFuFHG ad HB, Ila CA at DD. LH duceM LHC ad LK,
  24. licuc BC ad BD, uc simplum ridesicet ad duplum. Cate C Aet tD, IC+ d BC.
  25. Duoniam aurem CFI, AL sunC aquales, crune quoque LII, CA aquales. Frg O CstuF IK ad
  26. ElB, ica HIadBC. Ab HI isitur puncto exrra circulum cunspio ecuelae lune dua recta
  27. plum secanres, _e quod Aic tub excerioribus earundem parribus videlicer HB, FII, aequa-
  28. eckei quod Ac sub incerioribus, vdelicet IK, BC. Ouare pactes exteriores permurarim
  29. RAI PEX TUNE CONTINUIC PTOPOTTIOHAIESINEEF PAEEES INEEHIOLES, HEIHPE CTUNE COnFInUIC PTO-
  30. Porrionales IIE, HIB, FII, BC. Daris isicur duabus lineis tectis L. L, id cAtIIE, BC, inven-
  31. PAOEOSTTIO VL.
  32. Oacotrianouto rectanoulo, inrenire aliud crianculum rectanculum ma-
  33. ub distet
  34. ainter AB de balin quaesiri, de differencia inter AC ec hyporenulam quae si-
  35. aquale sic daco cuicumque recti. linco. Decur recti lincuurs Guoet HCID A C L 9u2
  36. (UMATME
  37. umque AD. a a eltum cm e

Cite

[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 243. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/845634801:0249?run=74