Рет қаралды 4,939
We prove two properties of cardioids of the form r = a(1 + cosθ). Firstly, we show that all chords passing through the origin have the same length. Secondly, we show that the tangents to the cardioid at either end of such a chord are perpendicular.
00:00 Property 1
02:36 Property 2
02:51 Differentiating
06:29 Perpendicularity
10:12 Simplifying