Integral formula for secantoptics and its application
Witold Mozgawa; Magdalena Skrzypiec
Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica (2012)
- Volume: 66, Issue: 1
- ISSN: 0365-1029
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topWitold Mozgawa, and Magdalena Skrzypiec. "Integral formula for secantoptics and its application." Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica 66.1 (2012): null. <http://eudml.org/doc/289798>.
@article{WitoldMozgawa2012,
abstract = {Some properties of secantoptics of ovals defined by Skrzypiec in 2008 were proved by Mozgawa and Skrzypiec in 2009. In this paper we generalize to this case results obtained by Cieslak, Miernowski and Mozgawa in 1996 and derive an integral formula for an annulus bounded by a given oval and its secantoptic. We describe the change of the area bounded by a secantoptic and find the differential equation for this function. We finish with some examples illustrating the above results.},
author = {Witold Mozgawa, Magdalena Skrzypiec},
journal = {Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica},
keywords = {Secantoptic; isoptic; secant},
language = {eng},
number = {1},
pages = {null},
title = {Integral formula for secantoptics and its application},
url = {http://eudml.org/doc/289798},
volume = {66},
year = {2012},
}
TY - JOUR
AU - Witold Mozgawa
AU - Magdalena Skrzypiec
TI - Integral formula for secantoptics and its application
JO - Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica
PY - 2012
VL - 66
IS - 1
SP - null
AB - Some properties of secantoptics of ovals defined by Skrzypiec in 2008 were proved by Mozgawa and Skrzypiec in 2009. In this paper we generalize to this case results obtained by Cieslak, Miernowski and Mozgawa in 1996 and derive an integral formula for an annulus bounded by a given oval and its secantoptic. We describe the change of the area bounded by a secantoptic and find the differential equation for this function. We finish with some examples illustrating the above results.
LA - eng
KW - Secantoptic; isoptic; secant
UR - http://eudml.org/doc/289798
ER -
References
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