Leibniz Legible

Machine transcription of the Leibniz Nachlass

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[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 20

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.

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

The machine reads it as

  1. AD LOCZSTTCEN SPE C.
  2. GONSECTARENM.
  3. DEEFEREN EFA quadratorum hadplicetur differentix laterum, orietur adorega
  4. cum lacerum: _ concra. Differencia quadrarorum ( adplicetur adorezato lacerum, orie-
  5. cur differentia laterum. Ouandoquidem divisio resticurio est. relolurione ejus operis,
  6. quod compolicione mulciplicario efticit.
  7. PR OBOSIFTO ZV.
  8. rB0 adgregati duorum laterum, cubum disferentix corundem
  9. addere.
  10. SEr lacus unum A, alEErUM B. OPOTFCAEA. + B cubO, A = = B cubum adderc. AC
  11. vero cubus effectus ab5 A B, ConAAE A cubO, i A quadraro in B FeF, A in B
  12. quadrarum rer, t. B cubo. Cabus aurem abs A = - B constac A cubo, = A quadraco in
  13. BEeF, L A in B quadrarum rer, B cubo. Finc igitur horum addicio: Cumma est A cubus
  14. bis, = A in B quadracum (exICS. FLinC OrdinAtUE
  15. T N E O R E M A.
  16. Crors adoregari duorum lacerum, plus cubo disferentix corundem, aquatuE
  17. duplo cubo lateris majoris, plus sexcuplo Colido à lacere majore in laceris minoris qua-
  18. dcarum.
  19. P R OFOS FF FO. XVT.
  20. V B0 adgregati duorum lacerum, cubum differentix corundem de
  21. ICEC.
  22. SLF lacus unum A, alFerUM B. OPOTEAE A -F B cubo, cubum ex A- B demere
  23. AbS Colidis lingularibus, quibus constar componendus abs A + B cubus, demantur (in-
  24. Gularia Colida, quibus constar cubus abs A= B: orietur A quadrarum in B lexies, j. B
  25. cubo bis. Hlinc
  26. T H E O R E N A.
  27. CY BVS aderesati duorum lacerum minus cubo differentix corundem, RquIATUE
  28. sextuplo solido à lacere minore in quadrarum majoris, plus duplo cubo laceris mi-
  29. nOris.
  30. P R OPOSTTLO XVII.
  31. EXPERENXFAM duorum lacerum in eria singularia plana, quibus
  32. constat quadratum adloresati iplorum laterum semel sumpra, ducere.
  33. SIF lacuSmajuS A, minus B. OpOrECAE A -B ducere in A quadratum, L A in B,
  34. =B quadraro. Fint paeticularis ductio, et collixancur singularia Colida. Frunc illa A
  35. cubus, - Bcabo. IIine
  36. T H F OR E M A.
  37. Or0D sic ex difterentia duorum lacerum in eria singularia plana, quibus constat
  38. quadratum aderesari iplorum lacerum semel sumpra, aequale eA difterentix cuborum.
  39. C ON SE CT A R FV M.
  40. DEEPEREHEFA cuborum E adplicerurad differentiam laterum, orientur eria CIN
  41. sularia plana, quibus constat quadearum aderegaci lacerum (emel LUMBTA. EF permu-
  42. tim,
  43. DIXFER ENZLA cuborum E adplicerur aderia Cingularia plana, quibus constat
  44. quadracum adgregari lacerum lemet sumpra, oriecur disterentia lacerum.
  45. PR OPOSTFTO ZVTTI.
  46. CeTC.
  47. DOR FC A Y V u duorum lace tria linsularia plana, quibus
  48. constat quadratu cutterencix iplorum lacerum seme l Cumpra, du
  49. 5

Cite

[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 20. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/845634801:0036?run=74