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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 231

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: 0.87.

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

The machine reads it as

  1. aReu
  2. AD SECTIONES CONL
  3. Les lune, criangulum L. HI K erir ad criangulum B AD, ve perpendicularis FIO ad
  4. perpendicularem AF, hoc cA vE IIO adHII, hoc cAt vE M ad NV. restac igieuT
  5. velicum huinstrianrali in cono AB C. D assionemus, asTumpea lineZ PO quae sic
  6. aequalis FIO, deleribacur inceruallo P O lemicirculus PR . deinde apeccurin
  7. lemicirculo P R aequalis FTL, hoc CA AF, X iungaCUE R O: candem super base
  8. FF Raceriangulum ex lineis OCi, R O, nimirum FSF, ve FS ipA O G, _ FS
  9. aequalis sIC QR. EUI peF F. _ S agaCUF dIAMCTCE FV, PONANCUEQUe AT, AV,
  10. ee AS. Dicorriangulum A TV, eAte aequale criangulo L FTK d lmilc. Ouoniam
  11. A Fducta estnormalis ad basim coni, erica angulus A FS rectus, _ quadracum AS 2 dcf. 3. vn-
  12. aequale quadraris AF, FS, hoc est (quia ex constructione A F eAt PR, _E F S est
  13. RO) quadearis PR, RO. Requi eciam quadracum PO, aquacur iisdem quadraris
  14. PR, RO: isituEquadrarum AS aquale CA quadraco PO, adeoque _ recta AS
  15. aequalis est recte PO, hoc est rectae FIO. Iam rero AS normalem eNe baS TV, DE
  16. TIO eAt baEI P R, lic ostendo. Ouadracum H C aequatur quadraris IIO, CO:
  17. quare cum ex constructione A F. ipAIHI C, _ SF ipsi O C, de ex demonstrar. AS
  18. ips HIO sic aequalis, a quabitur etiam quadracum A E quadraris AS, SP: 2C pFO-
  19. indeangulus AS F rectus est, ec AS perpendicularis bah. Ouarc cum in criangu-
  20. lISLTIR, TAV _ BaTCST R, TV ex constructione, es perpendiculares sivc
  21. alcicudines FIO, AS, aequales sinc, ipla quoque rriangula crune aequalia. In luper
  22. cum OC ips SE, e CK ipA F V aequales snE, erir OK aequalis SV, sed de
  23. HIO octenta cst aequalis AS, angulique HIOC, ASV redilunce aequales. FrgO
  24. TIK aequalis est A V. Similicer octendam HIL, aequari AT. Leaque similia cciam
  25. Tunceriangula LFTR, T AV. Ouaro assignauimus in conoscaleno criangulum
  26. peraxem ATV quod ad criangulum ABD, habec datam racionem M ad H.
  27. Duodcratfaciendum.
  28. decimi.
  29. P ROPOSAILOA.
  30. Comlealeh criansalum per arem, ad velllcem angulum rectum
  31. OMtinear.
  32. e a pet aclLaa ecum ee.
  33. Demon-

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 231. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0288?run=74