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[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 35

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: 0.88.

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

The machine reads it as

  1. VOF X P R1O
  2. A E O R E M
  3. F S.
  4. a
  5. Si Fuerine duo criangula rectangula: quadrarum plani quod sic sub hyporenuns
  6. cur quadraro differentia Factorum e balibus in perpendicula reciproce, plus quadrato
  7. adoregarifacti sub balibus, e Facti sub perpendiculis.
  8. dracis hypocenura pruni, de hiypocenulae secundi.
  9. A. balIS M. Alcerum, CosasPocaD.
  10. perpendiculum consequenrer AIB, basis
  11. min o. Oporreat ab illis aHOVAS FCFEIUM ETIan-
  12. EQUATUE QUAdTaTO AOSICZAI LACLOTMIBC BINIBUS IM PETDEHOICMIA LCLIDIOCC, PIOS qua
  13. draro differentia inter factum sub basibus de Factum lub perpendiculis. Vel eriam, aequa-
  14. A duobustriangulis rectangulis similibus, cerrium eriangulum rectansu-
  15. lum ita deducere, ut hyporenulx certii quenal, aae Gua-
  16. P RODOSTFTO XLVTI.
  17. Sine duo similia criangula LCCtat Ota. P FI-
  18. mum, cujus hyporenula B, perpendiculum
  19. sulum rectansi cdlucere, ita uc hypo-
  20. cenula illius guadracum a Guetut B quaaralo,
  21. D quadeaeo. Ouoniam isicur hiypocett.
  22. Ca quadearun Constac B quadraco, + D qua-
  23. deaco. Taneulm erir quadratum pelpendien-
  24. li adjunctum quadraco baHS Aaecendi cri-
  25. anguli. AE A B quadrarum, Y D qua dralo
  26. ducatur in Ml. quadc. NI quadraco, et dI
  27. vilio fiat pel B quadearum, nihil quadraro hyporenulae diducti accedir rel deperie, quo-
  28. minus M quadeatum, +. N quadrato aequetur exhyporheli B quadcaro. Piacigitur du-
  29. Ctio, Factum cerre constabit quaruor plano planis, nempe B quadrato in M quadratum.
  30. F D Guadraco in N quadrarum, et B quadraro in N quadratum, + D quadrato in M
  31. quadcarum. Binis primis acdatur plano. planum duplum quod sr concinue absB, D. H,
  32. NI. _ auteratur binis postremis. vel conversim, auferarur binisprimis, et addacur binis
  33. POstrenIs. Nihil Factis accreseir aut deperir quominus facta plano. plana, plaHO. PIaIIO
  34. abs Bquadrara, + D quadraco in B quadratum equentur. Bina porro illa Prateprata,
  35. adsciro rel dempro bis communi illo plano. Plao3 1, L13 pLtaS
  36. habeneradices, quarum
  37. Primo calu, prima est Bin MI, + D in N. AIcera B in N, = = D in M. Secundorero
  38. Bin N = 1- D ires
  39. B in M
  40. adplicacio, et urriulris calus, prima adlimilabieur perpendiculo, leCunad ball.
  41. casu, prima estBinMI, = D in HI. AILeraBin NI, F D in MI. Fiar igitur communis ad B
  42. dItuetimE duo limilia eriansula rectansula, adseam quactatorum ab hspolen
  43. T H E O R E M A.

Cite

[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 35. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/845634801:0051?run=74