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Subsection: Definitions from Book 5

This subsection lists the definitions from Book 5 of "Euclid’s Elements". Euclid’s definitions avoid figures. At BookOfProofs, figures are given for the most definitions.

Table of Contents

  1. Definition: 5.01: Magnitude is Aliquot Part
  2. Definition: 5.02: Multiple of a Real Number
  3. Definition: 5.03: Ratio
  4. Definition: 5.04: Having a Ratio
  5. Definition: 5.05: Having the Same Ratio
  6. Definition: 5.06: Proportional Magnitudes
  7. Definition: 5.07: Having a Greater Ratio
  8. Definition: 5.08: Proportion in Three Terms
  9. Definition: 5.09: Squared Ratio
  10. Definition: 5.10: Cubed Ratio
  11. Definition: 5.11: Corresponding Magnitudes
  12. Definition: 5.12: Alternate Ratio
  13. Definition: 5.13: Inverse Ratio
  14. Definition: 5.14: Composition of a Ratio
  15. Definition: 5.15: Separation of a Ratio
  16. Definition: 5.16: Conversion of a Ratio
  17. Definition: 5.17: Ratio ex Aequali
  18. Definition: 5.18: Perturbed Proportion

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