Math 181.S96, Construction: The Bisection
The bisection of an angle is Proposition 9 of Book I of Euclid's
Elements.
ANIMATE:
The construction, animated at the rate of one frame per second.
THE STEPS: The construction, step-by-step.
- Step 00
: Here is the angle to be bisected, in a circle.
- Step 01
: Draw the line connecting the two points on the given circle,
and DO THE VP!
- Step 02
: VP circle #1.
- Step 03
: VP circle #2.
- Step 04
: VP bisection line.
- Step 05
: VP cleanup.
- Step 06
: bisection cleanup.
Ralph Abraham. Revised 14 April 1996.
