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[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 294

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: 0.90.

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The machine reads it as

  1. 294
  2. TH E OR F M L
  3. cix quoque diameter cum subrentarum maxima. Eodem modo ostenderur esse quoque
  4. DC ad difterenriam HC, C.B, ur semidiamerer ad eductarum maximam.
  5. T H E O R E M A VI.
  6. Si atermino diametri Lumaneur in circUIO CiTCUFCFENLX quoECun que
  7. aequales, e ab altera extremitare educantur linex rectae ad sumiptarum cs
  8. cumferentiarum aequalium terminos, eductx siune bales criansulorum;
  9. quorum communis hyporenula est diameter, ac balis quidem diametie
  10. proximior intelligitur balis anguli simpli, succedens dupli, X co continuo
  11. Ordine: Constituatur aurem series rectarum lincarum continue proportio-
  12. nalium, quarum prima lic xe qualis semidiam etro, secunda, bali angulisim-
  13. Pli, is reliquarum balium oxdine succedentium exir prosxesus.
  14. Terria concinue proporcionalium, minus primabis, critaqualis balt a
  15. suli dupli.
  16. Ouarta, minus sccundater, bali anguli eriplI.
  17. Ouinta minus certia quater, plusprima bis, bali anguli quadcupli.
  18. Sexta, minus quarta quinquies, plus sccunda quinquies, bali ansuta
  19. quincupli.
  20. Seprima, minus guinta sexies, plus tertia novies, minus prima bis, bal
  21. anguli sexcupli.
  22. Octara, minus sexta sepries, plus quarta quater decies, minus secundu
  23. septies, bali anguli septupli.
  24. Nona, minus seprima octies, plus quinta ricies, minus tertia sedecies
  25. plus prima bis, bali anguli octupli.
  26. Décimaminus octara novies, plus sexta ricies X sepries, minus quatta
  27. cricies, plus secundanories, bali angulinoncupli.
  28. Ecita in infinitum, uc per loca proportionalium imparia nora affecti
  29. succedat, aHIrmaEX negata, negatx adtrmata: e proportionalesilla lu
  30. semper alcernae, ee mulciplices quidem in prima adfectione perunicatisct
  31. mencum, in secunda per numeros eriansulos, In CETLIa PCENMEOSpYC
  32. midales, in quarcaper numeroscriansulo. criansulos, in quinta pernunta
  33. eos triansulo. pyramidales; non quidem ab unitate, ut in porectatum 3
  34. neli, se d a binario luum AuCenteS inCFCmentu.
  35. Sie lemicirculicujulvis peripheria se eta in partes quoreunque xquales, cujus quidet
  36. semidiameter esto Z. et ab extremo diamerri educantur rectae ad qualibet sectioni
  37. puncta, quarum rectarum prima sic B. Frir iraque ex praecedeni Theoremate, W1 L. ad
  38. ira B ad compolicam ex diamerro ec ex ea quae iplam B proxime subsequitur: est aucente
  39. 30
  40. quae mulcara diamerco vel semidiamerro bis, celinquie B4- Z 4.
  41. deinde urZ ad B, ita
  42. ad compolitam ex secunda de quarta, à qua ablaca le
  43. BC. = Z. 9. in B3: aequalis quartae. atque ica (1 quo d Sc sub Lecun
  44. L.4.
  45. da e ulcima, iplius Z. epanaphorae seu gradui qui elariori porestariproxime succe dic d
  46. plicerur, muliecur que proxime anrecedenre, prorenientreliquae proporrionaleseo qu
  47. diccum est modo affectae, in intinicum. Sic
  48. B99. =Z. 9. in B9. 4. lic + Z. 99. 2
  49. Z. cub.
  50. B
  51. de
  52. Deec
  53. que

Cite

[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 294. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/845634801:0300?run=74