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  • ...[[centroid]] <math>G</math>, [[circumcenter]] <math>O</math>, [[nine-point center]] <math>N</math> and [[De Longchamps point | de Longchamps point]] <math>L< This proof utilizes the concept of [[spiral similarity]], which in this case is a [[rotation]] followed [[homothety]].
    59 KB (10,203 words) - 03:47, 30 August 2023
  • Let <math>E = AI \cap \odot ABC.</math> Then <math>E</math> is the center of <math>\omega \implies</math> Let <math>O</math> be the center of <math>\odot BPC, O'</math> be the center of <math>\odot BP'C.</math>
    50 KB (8,743 words) - 17:35, 15 February 2025
  • ...of a rotation of the plane and a dilation of the plane having the common center. The order in which the composition is taken is not important. Any two directly similar figures are related either by a translation or by a spiral similarity (directly similar figures are similar and have the same orientat
    28 KB (4,853 words) - 22:23, 19 November 2024
  • There is a spiral similarity <math>T</math> centered at point <math>X</math> that maps <math> ...angle ABH,</math> so <math>AB</math> is tangent to <math>\Theta).</math> [[Spiral similarity | Basic information]]
    46 KB (7,965 words) - 14:29, 17 November 2024