caa a22 4500 445813377 CHVBK 20180317145218.0 cr unu---uuuuu 170323e20111201xx s 000 0 eng 10.1007/s00022-012-0103-9 doi (NATIONALLICENCE)springer-10.1007/s00022-012-0103-9 Lekner John The MacDiarmid Institute for Advanced Materials and Nanotechnology, School of Chemical and Physical Sciences, Victoria University of Wellington, PO Box 600, Wellington, New Zealand aut Level curves for the sum of the squares of the normals to an ellipse [Elektronische Daten] [John Lekner] The squares of the normals to an ellipse are shown to be determined by a quartic. It follows from the properties of that quartic that the sum of the squares of the normals from a point remains constant as this point moves on one of a family of conjugate ellipses or hyperbolas. Likewise the sum of the squares of the normals to a hyperbola from any point on a conjugate ellipse is a constant. Springer Basel AG, 2012 Ellipse nationallicence normals nationallicence evolute nationallicence hyperbola nationallicence Journal of Geometry SP Birkhäuser Verlag Basel 102/1-2(2011-12-01), 115-122 0047-2468 102:1-2<115 2011 102 22 https://doi.org/10.1007/s00022-012-0103-9 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00022-012-0103-9 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Lekner John The MacDiarmid Institute for Advanced Materials and Nanotechnology, School of Chemical and Physical Sciences, Victoria University of Wellington, PO Box 600, Wellington, New Zealand aut NATIONALLICENCE 773 0- Journal of Geometry SP Birkhäuser Verlag Basel 102/1-2(2011-12-01), 115-122 0047-2468 102:1-2<115 2011 102 22 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer