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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 438

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. AR A BOL A
  2. AC vero pataSolam AD C in C d prO.
  3. ducta, CF. lirseam in HI. ducatuT ex B
  4. ordinatim linca Bl IccanS ADC para
  5. bolam in B, ce per D ex A linca ducatur
  6. Dico AD ad AK, duplicatam habere
  7. rationem eius quam habet AC, ad AH.
  8. cuus quam habet AC ad kLL. Ctatdemonttranaum.
  9. IECII PROPOSITIO CEXXVI.
  10. DArabolas equales AB C, AD C communem habentes verricem con-
  11. EinGANEIn A LInCX AC, A F, Secentque sese invicem parabOlX IN C; CK
  12. quo ductis ordinatim lineis C E, C F, deseribatuF per A parabola A HIB
  13. habens verricem in A, _E CONLInGENLEM AE, OCCUTTONS AUTEM AD C Pa-
  14. rabolx in C. iunetisque punctis AC, A G, CrIfaEUE ex G diamerex GM
  15. sccans AC lineam in M, puncto per quod ordinacim ducacur linca lR
  16. secans parabolas in B, FI, D, lineam A C in L.
  17. Dicorarionem IH ad IB criplicaram esse eius, cuius 1L. ad LM, ha-
  18. bet duplicatam.
  19. AIL OCCUTTeNSEC in R.
  20. Demonseratio.
  21. AD C pALAbOIX, quam AB, A C linex xqualessune, exic L B linea quoque xqualis
  22. GF _c LB a qualis MI G. Rursum ratio T B ad F C, id est A T ad AF; id cst AD
  23. ve
  24. XB de C punctis, diametri BL, GM, ON: ac BL, e CM quidem
  25. FaNC A F lincx in P _ MI. C: N verO recta A P in NV. Ouoniameam ABC
  26. ad AK duplicaca es racionis IB 2d E C, id cst NTG ad F C; LCd VE MG
  27. ad F C, siC AN ad A F (nam AL id est TB aequalis CA ReCtE AN, _E F C ips
  28. ohnins. AF, 2 est aequalis) He en AG ad AFI; isicur racio AD ad AK, duplicaca cst
  29. Demonstratio.
  30. BArhums Vuemiacurincer ID ec TE media TVF quoniamigicur +D, LL, LM PLOPOO
  31. estuce La B, LE,CtanEcam YD, IN, CPE. TEIlinca, quam LD.
  32. dabid. sTE. LM, YB concinux proporcionales: quarc racio YH 2d IB, quatcE ad quarram.
  33. xipli
  34. 674. Buis
  35. e s At. e Au te 1 BI. Ae . . Aes s A 1 1. . M u B A. . 1 1 t u V. 1 p 1 r 1 p 1 ur u u s p p

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 438. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0495?run=74