On evolutoids of planar convex curves II
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| 024 | 7 | 0 | |a 10.1007/s00010-015-0352-4 |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s00010-015-0352-4 | ||
| 245 | 0 | 0 | |a On evolutoids of planar convex curves II |h [Elektronische Daten] |c [V. Aguilar-Arteaga, R. Ayala-Figueroa, I. González-García, J. Jerónimo-Castro] |
| 520 | 3 | |a In this paper we continue the study of evolutoids of convex curves. We proved that if a curve is homothetic to one of its evolutoids then it is a circle. This result is analogous, for the case of evolutoids, to the planar case of the famous homothetic floating body problem which states that if a floating body is homothetic to the body itself then it is an ellipsoid. Among other things, we proved that a curve and any of its evolutoids have the same Steiner point. Moreover, some relations between evolutoids and constant angle caustics are also given, for instance, that if for a given angle the left and right evolutoids describe the same curve then the curve possesses a constant angle caustic. | |
| 540 | |a Springer Basel, 2015 | ||
| 690 | 7 | |a Convex evolutoid |2 nationallicence | |
| 690 | 7 | |a Convex floating body |2 nationallicence | |
| 690 | 7 | |a Illumination body |2 nationallicence | |
| 690 | 7 | |a Constant angle caustic |2 nationallicence | |
| 700 | 1 | |a Aguilar-Arteaga |D V. |u Universidad Autónoma de Querétaro, Querétaro, Querétaro, Mexico |4 aut | |
| 700 | 1 | |a Ayala-Figueroa |D R. |u Universidad Autónoma de Querétaro, Querétaro, Querétaro, Mexico |4 aut | |
| 700 | 1 | |a González-García |D I. |u Universidad Autónoma de Querétaro, Querétaro, Querétaro, Mexico |4 aut | |
| 700 | 1 | |a Jerónimo-Castro |D J. |u Universidad Autónoma de Querétaro, Querétaro, Querétaro, Mexico |4 aut | |
| 773 | 0 | |t Aequationes mathematicae |d Springer International Publishing |g 89/6(2015-12-01), 1433-1447 |x 0001-9054 |q 89:6<1433 |1 2015 |2 89 |o 10 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s00010-015-0352-4 |q text/html |z Onlinezugriff via DOI |
| 898 | |a BK010053 |b XK010053 |c XK010000 | ||
| 900 | 7 | |a Metadata rights reserved |b Springer special CC-BY-NC licence |2 nationallicence | |
| 908 | |D 1 |a research-article |2 jats | ||
| 949 | |B NATIONALLICENCE |F NATIONALLICENCE |b NL-springer | ||
| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1007/s00010-015-0352-4 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Aguilar-Arteaga |D V. |u Universidad Autónoma de Querétaro, Querétaro, Querétaro, Mexico |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Ayala-Figueroa |D R. |u Universidad Autónoma de Querétaro, Querétaro, Querétaro, Mexico |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a González-García |D I. |u Universidad Autónoma de Querétaro, Querétaro, Querétaro, Mexico |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Jerónimo-Castro |D J. |u Universidad Autónoma de Querétaro, Querétaro, Querétaro, Mexico |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Aequationes mathematicae |d Springer International Publishing |g 89/6(2015-12-01), 1433-1447 |x 0001-9054 |q 89:6<1433 |1 2015 |2 89 |o 10 | ||