Civil War Field Fortifications Website

Aside from its usefulness for dividing a right triangle into three equal parts this construction can be very helpful when it becomes necessary to construct either 30 or 60 degree angles on a right line.

Given a right angle with its vertex at Point A trisect the angle into three equal angles.

Using Point A as center describe an arc of a circle of any radius that cut both legs of the right angle, in this case at points B and C.

Using Point B as center describe an arc of a circle that has a radius equal to the distance between points B and A that cuts Arc BC at Point D. Using Point C as center, describe a second arc with a radius equal to the distance between points A and C that cuts Arc BC.

Having marked the second cut cut through Arc BC as Point E, use a straightedge to produce right lines from Point A through, first, Point D and then through Point E.

Lines AD and AE trisect the right angle into three smaller angles (BAE, EAD, and DAC) that are equal to each other. Each angle should measure 30 degrees.

~ An Instructive Animation Wherein the Foregoing Construction is Visually Explained ~

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