Perpendicularity

Life stands up to the downward force of gravity every day. From table legs to your legs, perpendicularity provides balance and strength. Perpendicular lines played an important role in finding the center of the arc of the bridge in the Pedestrian Bridge post. In writing the equation of those perpendicular lines, I used a concept I picked … Continue reading Perpendicularity

Perpendicular Bisector

High school geometry changed my life. Really. I loved proofs. I loved geometric constructions. Life on the Euclidean plane had order; it made sense, in an amazing way. Need to find the midpoint of a line segment? No problem. Draw two circles (or just parts of them), and then draw the line determined by the … Continue reading Perpendicular Bisector