Applet shows a particle (m) moving at v along a straight line. It's angular momentum vector about a fixed point is shown to be related to the area swept by the radius vector of the particle relative to that fixed point.
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The red shaded areas shown are areas swept by the radius vector in time t. Since the velocity is uniform, vt is a constant. The bases of these triangles are equal to Vt each and heights are h (r sin ?), the perpendicular distance of the line of motion from o. The constancy of angular momentum of the particle about o implies the constancy of areal velocity of radius vector of the paticle about o.
