Leibniz Legible

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[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 392

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. 392
  2. prima diametri, LC MsC CI de cuparriente septuagelimas primas
  3. diamerri, id est, polita diametro partium septem, circumterentiam mino-
  4. rem ese partibus riginti duabus. Sed posita eadem diametro parrium 7 1)
  5. circumterentiam majorem esse partibus 223. Sed nos crresi longe fines
  6. Archime deos, et (i lua insequuri vestisia: polita diametro particularum 100.
  7. 000, deprehendimus certo in Analycicis angularium sectionum; circum.
  8. Fexentiam majorem esse 314, 159 co. Cs; Se d inorem 314, 159 . Traque
  9. duo Theoremata inde elicuimus, d totidem Problemata, ad Mcchanicen
  10. bene adcommoda, qualia hic Lubjicimus.
  11. PROPOSTTTO L.
  12. Si secetur linca rectA per extremam e mediam rationem: Crie proxime
  13. utminus segmentum ad tocam, ita diameter cir culi ad dextanLeM CIrCUM
  14. terentix.
  15. Linex rectae sectae dupor nai pesor nogor, minus lesmentum sF109, 000. FOTA H
  16. Paulo major 261, 803. Consticura aurem diametro 100, 000. Fic circumferentia tot
  17. 314, 160. Uncia vero26, 180. Dextans 261, 800. Ouare bene proxima vera est ana losia.
  18. PR OPOSFEFO II.
  19. Si secetur linea recta per extremam et mediam rationem: exie proxime
  20. UEEOT COntinUata minOre sesmento ad toram duplam, ita qua porest qud
  21. drato se squialrerum semidiametri ad latus quadrati circulo ae qualis.
  22. Lincarecta (ecta arpor na) ueror nozor, (IE10O, 000. Minus legmencum Er paulo nta
  23. nuS38, 197. Constirura aurem semidiamerro circuli 100, 000, qux porest quadeaco
  24. quialrerum lemidiamerri, paulo major est122, 474. & est uc 138, 197 2d 200,000, 1a12
  25. 474 2d177, 245. cujus quadcarum est 31, 416, 000, 000 proxime. Panca auremtere
  26. area circuli semidiamerium habentis 100, 000. Ouare bene proxima vera est analoB
  27. P ROPOSFFZO III.
  28. Ouadrant circumterentix daci circuli invenire proxime lincam rectan
  29. requalem.
  30. Sic darus circulus sub A centrO
  31. dc(CripTUS BDCE. OpOTFCE qua
  32. dranci circumterenrix dari circul
  33. BDC F, invenire lineam rectam
  34. Prexime aequalem.
  35. DaruSBD C E circulus seCCt.
  36. quadritariam a duabus diamerrt
  37. BC, DE, Cele perpendicularice
  38. intersecantibus in A, ip (aGWCDA
  39. secetur bifariam in F, _ per puI
  40. aum P inscribatur B C, et in L
  41. cadac perpendicularis CFI. ABSB
  42. aurem auFCTAEUF Z. F ip (I F A a qua
  43. lis, unde Hc BZ latus decagoni, ct
  44. Ponatur in E A CemidiaMCEO
  45. qualis E L: _L AaC UE A L ad AF, 1
  46. AEI ad A R, juncta videlicet II
  47. VARFORYM DE REBYS NIA ZHE M AFFTCF3
  48. dc aCta F.KL ip Li HIIparallela. DicoreCtam AK esse aqualem CirCUNFerentI DCC
  49. Ouoniam enim LF. polica est aequalis ipl B L, leCD HCaruT A F. per mediam et exit
  50. mamcarionem in I, ec est A Iminus legmentum, LF ma, lS. Lraque ex proposirione t
  51. ma, licur est AL ac C, Ia e Calte At alaise circum terenrixe, ira Cemidiamc
  52. d
  53. r

Cite

[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 392. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/845634801:0398?run=74