Results 1 to 10 of about 10,797 (172)
Two inequalities about the pedal triangle [PDF]
Journal of Inequalities and Applications, 2018 Two conjectures about the pedal triangle are proved. For the first conjecture, the product of the distances from an interior point to the vertices is mainly considered and a lower bound is obtained by the geometric method.
Fangjian Huang
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Linear Triangle Dynamics: The Pedal Map and Beyond
, 2013 We present a moduli space for similar triangles, then classify triangle maps $f$ that arise from linear maps on this space, with the well-studied pedal map as a special case. Each linear triangle map admits a Markov partition, showing that $f$ is mixing, hence ergodic.
Castellano, Claire, Manack, Corey
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SIERPIŃSKI PEDAL TRIANGLES [PDF]
Fractals, 2008 We generalize the construction of the ordinary Sierpiński triangle to obtain a two-parameter family of fractals we call Sierpiński pedal triangles. These fractals are obtained from a given triangle by recursively deleting the associated pedal triangles in a manner analogous to the construction of the ordinary Sierpiński triangle, but their fractal ...
Zhang, Xin-Min +3 more
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Several observations about Maneeals - a peculiar system of lines
Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2016 For an arbitrary triangle ABC and an integer n we define points Dn, En, Fn on the sides BC, CA, AB respectively, in such a manner that |AC|n/|AB|n =|CDn|/|BDn|, |AB|n/|BC|n = |AEn|/|CEn|, |BC|n/|AC|n =|BFn|/|AFn|.
Naga Vijay Krishna Dasari, Jakub Kabat
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A Proof of Smarandache-Pătraşcu’s Theorem using Barycentric Coordinates [PDF]
, 2010 Proving the Smarandache–Pătraşcu’s Theorem in relation to the inscribed orthohomological triangles using the barycentric ...
Coandă, Claudiu
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Characterization of a Human Powered Nebulizer Compressor for Resource Poor Settings [PDF]
, 2014 Background Respiratory disease accounts for three of the ten leading causes of death worldwide. Many of these diseases can be treated and diagnosed using a nebulizer. Nebulizers can also be used to safely and efficiently deliver vaccines.
Hallberg, Christopher J. +4 more
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STROPHOIDS, A FAMILY OF CUBIC CURVES WITH REMARKABLE PROPERTIES
Journal of Industrial Design and Engineering Graphics, 2015 Strophoids are circular cubic curves which have a node with orthogonal tangents. These rational curves are characterized by a series or properties, and they show up as locus of points at various geometric problems in the Euclidean plane: Strophoids are ...
STACHEL Hellmuth
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Eddy current based, contactless position transducer for a gas handle [PDF]
, 2010 In electric vehicles, it is normal to have an electronic set value for 'gas' and for 'brake'. Traditional potentiometers with sliding contacts are not reliable. Magnetoresistive sensors or hall effect sensors need a magnet on the moving part.
Sergeant, Peter, Van den Bossche, Alex
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Proceedings of the Edinburgh Mathematical Society, 1893 The area of the pedal triangle of a given triangle is easily shown by trilinear co-ordinates to bear to that of the original triangle the ratio R2 – S2: 4R2 where S is the distance of the point from the circumcentre of the triangle. A proof, by purely geometrical methods, of this theorem was read before the Society (Proceedings, Vol. III., pp.
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Winnerless competition between sensory neurons generates chaos: A possible mechanism for molluscan hunting behavior [PDF]
, 2002 © 2002 American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics.In the presence of prey, the marine mollusk Clione limacina exhibits ...
Allen I. Selverston +9 more
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