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[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 303

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. exemplo,
  2. hajusB A
  3. det
  4. it
  5. et
  6. odi
  7. ( inC
  8. leato iB
  9. .
  10. b. (et
  11. est
  12. Cumpra, mecitur quatuor rectos an-
  13. sulos id est circumferentiam circuli
  14. AB inccoram bis (quum anguli acti-
  15. meneur in circum ferentia,) _E PExTer-
  16. ea circumterentiam BC: igitur DB
  17. lepties continuo inseripra, recidet
  18. eandem in punctum C. _ quoniam
  19. linex BD, DE ponuneur aequales, erir
  20. circumferencia F B dupla iphuS DA,
  21. (est enim FB complemencum dupla
  22. iplius DB ad inceorum circulum.) Cir-
  23. cumferenria vero FB aequalis est cir-
  24. cumferentia DBI; quandoquidem
  25. PESBD, DF aqualeS TUnE RECtE DF
  26. El: est iraque circum ferenria ADLeri
  27. Pla iplins AD. eodemque modo, quia
  28. ectae lG, GF. ipsIS quoqueDF, FL
  29. aequales sune: criccircum tereneia I E dupla iphuISAD, EOEaquE A D B E quincupla ipsuS
  30. RB: dcreCtX FH, FL C iildem quoque aequales, quate TOca ADHE C. iphus AD erir sepru
  31. Pla. FrgO ex Theoremate LeXIO,
  32. Posica semidiamerro A L prima concinue proporcionalium, ip sa DB secunda, eaque serie concinuata
  33. I recta C. B aequalis secundae sexties, minus quarsa quaserdecies, plus sexca septies, minus octava.
  34. Innocis sit AE L. DBFN. 7 ~ - 14 C = 7 OC - 1 QOC, aquabieur ip si C. B. similiter et
  35. determino quario expluabicur endem aequalitas.
  36. AEverO ex prxeleripto Theorematum quinri ec octavi, constabirpropolitorum Pro-
  37. olemacicn in infinicum Amphibolia, sicurest luxerius declacarum. qui exenipla deliderat,
  38. Consulat VieTX LEspOnsun ad PFObLEMA ADR IANE R ONL ANL.
  39. D R OB L E M A TTT.
  40. Lineas rectas circumterentiis circuli in progressione Arichmericasub.
  41. Cenlas, ex daca prima maxima velminima inseripea, et lecunda ei proxima,
  42. in numeris syminetris caxare.
  43. ExhocopuS ex ThcorematisC, 7 X 9deducitur, quod illic clare propolicum est et
  44. demonstracum.
  45. P R OB E E M a IV.
  46. Linearum circumterentiis circuli in progrestione Arictimetica Tubtenla-
  47. um Cummam, ex daca maxima e minima inscxipris, inquirete.
  48. Hloc ottentum THCOemate 1O.
  49. COR OE F A R YV M.
  50. Mathemaricum igitur Canonem, secure ac faeliciter construet Analysta, e
  51. constructum examinabic, adiusus analyticis hisce principiis. es edoctus metho-
  52. num resolvendi potestates quascumque sive puras, sive affectas.
  53. Ad constructionem aurem, primum inquiratur perpendiculum unius
  54. crupuli, quam tieripotest accuratum, id que hacmethodo.
  55. .Exlateris hypothecici lectione exerema e media ratione, dabicur pet-
  56. Dendiculum paxtium 18.
  57. SECTTONFS.
  58. AD ANCVZ AR E5

Cite

[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 303. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/845634801:0309?run=74