Abstract

The area of the autoroulette of a closed curve is double the area of the roulette of that curve on a straight base line taken with respect to the same generating point. This is an equivalent to Steiner's theorem for pedals. Also, an extension of Steiner's theorem is asserted.

Keywords: Pedal, autoroulettes, barycenter of curvatures .

MSC: 53A04

Pages:  23$-$26     

Volume  49 ,  Issue  1 ,  1997