MATEMATIČKI VESNIK
МАТЕМАТИЧКИ ВЕСНИК



MATEMATIČKI VESNIK
Pedals, autoroulettes and Steiner's theorem
Momčilo Bjelica

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.

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Keywords: Pedal, autoroulettes, barycenter of curvatures .

MSC: 53A04

Pages:  23--26     

Volume  49 ,  Issue  1 ,  1997