The aim of this paper is to study some properties of secantoptics, defined in [8]. We show that any evolutoid of a given oval $C$ is a hedgehog and that any secantoptic of an oval $C$, is an isoptic of a pair of required evolutoids. We prove some Crofton-type formulas for secantoptics and give a necessary and sufficient condition for a secantoptic to be convex.
@article{1251832370,
author = {Mozgawa, Witold and Skrzypiec, Magdalena},
title = {Crofton formulas and convexity condition for secantoptics},
journal = {Bull. Belg. Math. Soc. Simon Stevin},
volume = {16},
number = {1},
year = {2009},
pages = { 435-445},
language = {en},
url = {http://dml.mathdoc.fr/item/1251832370}
}
Mozgawa, Witold; Skrzypiec, Magdalena. Crofton formulas and convexity condition for secantoptics. Bull. Belg. Math. Soc. Simon Stevin, Tome 16 (2009) no. 1, pp. 435-445. http://gdmltest.u-ga.fr/item/1251832370/