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[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 265

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: 0.83.

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

The machine reads it as

  1. DB2gt
  2. er0A.
  3. Cre
  4. peite
  5. HB
  6. udt
  7. 265
  8. PSFY DO- M E SOF A B V M.
  9. ca. CMigitur differentia extremarum ad differentiam mediarum ut) au L. Duare qualium AB eri
  10. proporcionalium erie minor dupla, ansuli sectionum erune majores quidem angulo CBA. sed minores
  11. angulo DBA.
  12. Placeat autem cum proportionales sune in ratione tripla systema adnorare. Ouoniam ratio est ut Z
  13. ad 1. numerus aucem proximus post ternarium est quaternarius, ducantur q in 3 fiunt 12, quibus adda
  14. curunicas. Eritigitur differentia excremarum ad differentiam mediarum uc 13 ad 3. Ouare qualium
  15. ABerit 13 talium subtendet DCMum. Ceanulus L.BA s sea lalton Etpla. Et cumratio con-
  16. enue proporcionalium erit minot cripla sed major duxla, anculi sectionum erunt majores quidem aneu-
  17. l0 DB A, sed minores aneulo EB A.
  18. matur XC. faciendo ut 7 ad 2, vel 13, ad 3. e ea in infinitum methodo, ita 100, 000 ad sinum com-
  19. plemenci anguli qui fic ab inseriosa es diamerro. ut in cabella
  20. 7. calium subcendicor BD duarum, eric angulus DB A systema rationis dupla. Et cum racio continui
  21. Ex Canonune numet B trianculorum dabuntur iidem aneult. in parcibus qualum rectus astr
  22. Paqualitario
  23. qui
  24. extu
  25. (33. 333
  26. 2, 282
  27. (XIX. XXVIIT.) Cajus
  28. EVI. XXXVI
  29. TXIL. XX.
  30. .
  31. PROPOSTTTO XI.
  32. entu
  33. EXCKII.
  34. 2
  35. (EXX. XXXII
  36. XFXT. X
  37. f1. XL
  38. X.
  39. XLLE
  40. L. 13
  41. comple.
  42. est iequ
  43. Si auapalallera aglales Bal Cneuo, ce acla pelotioet
  44. dema perpendiculares majorem abscindant: excessus majoris ex utravis
  45. Parte erit ae qualis.
  46. inscribancur circulo, majoremque
  47. DOaCEX AR, BS per extremamino-
  48. ris AB normaliter secenFInR, S
  49. DicoDR, SO esse equales. Circuli
  50. enim cenerum esto C, per quod ag2-
  51. cur diameter ipsis R A vel SB paralle-
  52. la secans DO, AB in V, Z. Cum igi
  53. TuT IN(CTIPEA DO, ABSCceNEUF C Cen
  54. reo ad angulos rectos, ideo lecabun-
  55. cur bitaciam. Frir iraq; DV ipGVC
  56. aequalis, et AZ SCuRV iph ZB scu
  57. YS. AB aequalibus igituEDV, VO
  58. aequales RV, VS SUb dUCUNEOE. ErgO
  59. DR het equalis SO. Ouod erat
  60. ostendendum.
  61. Ouxparallele inaequales DO, AB
  62. PR OPOSTTTO ZII
  63. Data reca _ UCa PCIO, LeMC CNCuTum cui data in (cribeTUE, d
  64. cum diameter eam abscindet in dato punCtO, CTUHELCGMENTA ILCTIPEX in
  65. CONTINUA PrOPOrtiOnC inter mutua (egmenta diamctri.
  66. Sit data recta AB, ae ineapunctum C. Oporret facere quod propolirum est. PiaE UE
  67. BC ad CA, ita C A ad AD, e coeane in eandem rectam BA, AD. X ad A exciretur ip (I
  68. CD perpendicularis AE, in qua SUIMAEUT CE cori BD aequalis, _ abscindatuE C F ip ( AD
  69. equalis. XC per punCta A, B, F ducatur circulus, quem FC quoque secer in C. Sunc igi
  70. TUK

Cite

[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 265. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/845634801:0271?run=74