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[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 419

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: 0.86.

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

The machine reads it as

  1. (1HiciaMB
  2. ais
  3. juner
  4. odelest
  5. necosp
  6. sia
  7. RE SPONSORVM. LTBER VIII.
  8. ctos angulos insistir: ideo plano GK B per ip la5
  9. lineam ACF Tan Plac L C. Quare planum
  10. GKE B, CHIE ad planuM A F. C rectum. Ad planum
  11. aurem A L C, recum ele quoque planum BF C:
  12. circulienim AC, CB lele muruo normalitet le.
  13. ctos angulos ipla BK inliltic, ex 1deo ad omnes
  14. rectas lineas quae iplam concingune X in lubjecto
  15. sunc plano A E C quales G K, L B, rectos anguloS CMMLH. Suncigitur anguli C HB, F KB
  16. recti. Onod Secundoloco fuir ostenden duin.
  17. 24 Cum eriangulum sphaericum proponitur obtiquangulum auc incerra adhuc spe-
  18. ciei sed ex daris adsequendae, in duo rectangula quelaamodum ee planum resolvirur.
  19. Aue criamBMet Ooquangulum sphaericum ad plan eu. Verum mechodus
  20. Relolvitur eriangulum obligtangulum in duo rectanoula, demista ab aliquo angulo-
  21. rum ad latus quod ei opponitur peripheria orthogonia. LTague CteMS maximuS, cujuS
  22. Deripheria MMIa ctlegmencum, educendus est per poloscirculi, a quo ablumitur latus an-
  23. Curandum aurem est ea eductiore, ur ex datis rerminis salvi supertinc ac illibari, qui
  24. 25 Siucerque angulorum ad balin changuli spharicituern ee aectioIs, pe.
  25. ripheria at angulo verticis ad baliu demilta, cadic inera criangulum; led si diverla,
  26. CXTEA.
  27. 17 Sicctarsuli Sphaet ctes anguli tuerincacuri, latera quoque minOTA CrUNE qua-
  28. 1o Siceriangulum sphaericum AB D, de in peripheriam BD cadac segmentum ortho-
  29. Primum dico esse cransTinuolant aS Da C. ad cransinuolam anguli D A C, siCuE
  30. Prolinum pecipliella a Dad prolinum peripheria AD.
  31. ducto, ad anoulos rectoserit. Per iplam aurem
  32. CAHE ex HYBOMLICI, Qura ansas CB propOni
  33. tur rectuS. Ec horum planotu BD, BLC
  34. cidem plano A F. C rectorum, communis lectio
  35. estrecta K B. Ilaque eidem plano AF. C ad re.
  36. illa videcur hac expedicioi.
  37. Sulo parodico opposicum.
  38. Cuthiane ad adsequendum rectarsa.
  39. 16 Si ceuracrianguli sphaerici fuerine majora quadeanre circuli; bals vero quadcans
  40. aur quadrante major: anguli omnes erune obculi.
  41. alanre circuli.
  42. sonii AC.
  43. guli D.
  44. Sccundo dico esse transtinuolam peripheria C B ad cranstinuolam peripherix CD,
  45. licur cranssinuolam peripherix AB ad cransinuolam peripherix A L
  46. Lercio dico elle linum C al uu B licuc peolinum ansl da Peontum alt
  47. Denique de quarro dico esse linum alsu A C ad linum angult A C, LCuE EAuL
  48. lnuolam ansuli Dad crantunuolam ansuli B.
  49. V. Zrian.

Cite

[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 419. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/845634801:0425?run=74