Elements of Measure

Ryan Hirst

"...but how do I draw the {grbobble garump} of x?"


  • 1. Unambiguous Arc
  • 2. Draw Length Squared
  • 3. Angle Bisector, ratio of sides
  • 4. Draw the sine squared of an angle

1.

Unambiguous Arc

Suppose I say, "I walked from A to B along the arc of the circle with center O." Let us agree the arc was traversed from start to finish in a single direction. Given A, B, and O, Draw the arc. .... Go on. ....

[b]It cannot be done. There are two choices.[/b] We can tell a little story in our heads where I can only walk in one direction, but that's pretend. Here is a better way: disambiguate. There are at least two ways: 1. Sign: "In what direction?" 2. Name a waypoint on the arc. I say, [i]the arc is now uniquely determined[/i]. ____________ Measuring angles and arcs 1 of n
– Ryan Hirst

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