Computable Euclid

Euclid Book 5

Book 5 covers a theory of proportion attributed to Eudoxus. Irrational magnitudes such as the golden ratio can be handled by this theory. Definitions 8-10 handle geometric progression. Props. 1, 3 and 7 give the distributivity law, associative multiplication and multiplicative inverses. There are no constructions in this book.

• Definitions

• Euclid Book 5 Proposition 1

  

• Euclid Book 5 Proposition 2

  

• Euclid Book 5 Proposition 3

  

• Euclid Book 5 Proposition 4

  

• Euclid Book 5 Proposition 5

  

• Euclid Book 5 Proposition 6

  

• Euclid Book 5 Proposition 7

  

• Euclid Book 5 Proposition 8

  

• Euclid Book 5 Proposition 9a

  

• Euclid Book 5 Proposition 9b

  

• Euclid Book 5 Proposition 10a

  

• Euclid Book 5 Proposition 10b

  

• Euclid Book 5 Proposition 11

  

• Euclid Book 5 Proposition 12

  

• Euclid Book 5 Proposition 13

  

• Euclid Book 5 Proposition 14

  

• Euclid Book 5 Proposition 15

  

• Euclid Book 5 Proposition 16

  

• Euclid Book 5 Proposition 17

  

• Euclid Book 5 Proposition 18

  

• Euclid Book 5 Proposition 19

  

• Euclid Book 5 Proposition 20

  

• Euclid Book 5 Proposition 21

  

• Euclid Book 5 Proposition 22

  

• Euclid Book 5 Proposition 23

  

• Euclid Book 5 Proposition 24

  

• Euclid Book 5 Proposition 25