Computable Euclid

Euclid Book 3

Book 3 discusses circle properties, such as an incribed right triangle being centered on the hypotenuse midpoint, prop. 31, Thales’ theorem. Propositions 2, 35 and 36 give circle convexity, the intersecting chords theorem and the tangent secant theorem. With propositions 1, 17 and 30 we get a circle’s center, a circle tangent and an arc bisection.

• Definitions

• Euclid Book 3 Proposition 1

  

• Euclid Book 3 Proposition 2

  

• Euclid Book 3 Proposition 3a

  

• Euclid Book 3 Proposition 3b

  

• Euclid Book 3 Proposition 4

  

• Euclid Book 3 Proposition 5

  

• Euclid Book 3 Proposition 6

  

• Euclid Book 3 Proposition 7a

  

• Euclid Book 3 Proposition 7b

  

• Euclid Book 3 Proposition 7c

  

• Euclid Book 3 Proposition 8a

  

• Euclid Book 3 Proposition 8b

  

• Euclid Book 3 Proposition 8c

  

• Euclid Book 3 Proposition 9

  

• Euclid Book 3 Proposition 10

  

• Euclid Book 3 Proposition 11

  

• Euclid Book 3 Proposition 12

  

• Euclid Book 3 Proposition 13

  

• Euclid Book 3 Proposition 14a

  

• Euclid Book 3 Proposition 14b

  

• Euclid Book 3 Proposition 15a

  

• Euclid Book 3 Proposition 15b

  

• Euclid Book 3 Proposition 16

  

• Euclid Book 3 Proposition 17

  

• Euclid Book 3 Proposition 18

  

• Euclid Book 3 Proposition 19

  

• Euclid Book 3 Proposition 20

  

• Euclid Book 3 Proposition 21

  

• Euclid Book 3 Proposition 22

  

• Euclid Book 3 Proposition 31a

  

• Euclid Book 3 Proposition 31b

  

• Euclid Book 3 Proposition 31c

  

• Euclid Book 3 Proposition 32

  

• Euclid Book 3 Proposition 33

  

• Euclid Book 3 Proposition 34

  

• Euclid Book 3 Proposition 35

  

• Euclid Book 3 Proposition 36

  

• Euclid Book 3 Proposition 37