Computable Euclid

Euclid Book 2

Book 2 eventually led to geometric algebra and equations. Propositions 1, 4 and 12 give the distributivity law, the binomial theorem and the law of cosines. Propositions 11 and 14 construct the golden ratio and the square.

• Definitions

• Euclid Book 2 Proposition 1

  

• Euclid Book 2 Proposition 2

  

• Euclid Book 2 Proposition 3

  

• Euclid Book 2 Proposition 4

  

• Euclid Book 2 Proposition 5

  

• Euclid Book 2 Proposition 6

  

• Euclid Book 2 Proposition 7

  

• Euclid Book 2 Proposition 8

  

• Euclid Book 2 Proposition 9

  

• Euclid Book 2 Proposition 10

  

• Euclid Book 2 Proposition 11

  

• Euclid Book 2 Proposition 12

  

• Euclid Book 2 Proposition 13

  

• Euclid Book 2 Proposition 14