Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 16

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: 0.89.

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

The machine reads it as

  1. LOCTS YTCF. N S PEC
  2. L A EO R E N a
  3. Aderegarum duarum magnicudinum adjunctum differentix carundem; aequale ell
  4. duplo magnicudinis majoris.
  5. PR OPOST TTO VII
  6. Ctarum magnicudinum aderegaro difterenciam carundem subdu-
  7. Sic ex A + B auterenda A -- B: relidua sic B bis. Vnde
  8. T H E O R E M A.
  9. Aderesarum duarum magnicudinum mulaum discremia carumdem, equale cst
  10. duplo minoris.
  11. P R OPOS FTFTO VTTI.
  12. Em eadem magnicudo contrahitur, inaequali decremento, alTeFAM
  13. ex altera subducere.
  14. Sic ex A =-B sabducenda A- = E: residua erit E. - - B. Uud ABTeM CA CONTA-
  15. ctionum difterenciam subnocasse. Vnde
  16. E E E O R E M A.
  17. Si magniudo inaquali minuatur decremento, differentia contractionum eadem
  18. est quae conractacum.
  19. P R OP OSTXF0 IX.
  20. EIm eadem magnitudo protrahitur, inaquali cremento, alceram alce-
  21. i lubducere.
  22. Sit ex A. F C subducenda. A + B: relidua erie C- - B. Vnde
  23. T E E O R E M A.
  24. Si eadem maenitmdo inxquali augeatur cremento, differentia procractionum ea
  25. dem est quxe prorractarum.
  26. PR OBOST FFO Z.
  27. m eadem magnicudo procrahitur, de contratritur inxequali cre.
  28. mento e decremento, alceram alceri Cubducere.
  29. Sic Cx A L C subducenda A -- B: FCHdua eric O I B. Vnde
  30. T E E O R E N A.
  31. Si eadem magniemdo prorrahatur e contrahatur inxquali cremento de decremen
  32. co, differentia proriactae de contracta aequalis est adgregaro protractionis _E COnTa.
  33. ctionis.
  34. PR O P OSTFFO XI.
  35. Orestatem puram à binomia radice componere.
  36. Sic radix binomia A L B. Oporreat ab ea porestarem puram componere.
  37. Primo componendum sic Ouadearum. Ouoniam igitur lacus dum ducicur in (e
  38. Facie quadrarum; ducatur A. f B in A. F B, e collixantur singularia efecta plana:
  39. ceune illa
  40. CerC.
  41. A Quadeatum.
  42. Ht in B bi5.
  43. Guadcaco.
  44. Duae ideo aequabuntur A + B quadraco.
  45. Secundo componendus lic Cubus. Ouomiam isirur latus dum ducicur in sui qua
  46. deacum.

Cite

[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 16. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/845634801:0032?run=74