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  • Let <math>l</math> and <math>l'</math> be internal and external bisectors of the angle <math>\angle BPC, l \perp l'</math>. [[File:Fermat 1 Euler lines 3.png|400px|right]]
    59 KB (10,203 words) - 03:47, 30 August 2023
  • ...ons of <math>p_a</math>, <math>p_b</math>, <math>p_c</math> over the angle bisectors of angles <math>A</math>, <math>B</math>, <math>C</math>, respectively. [[File:1995 USAMO 3.png|300px|right]]
    54 KB (9,416 words) - 07:40, 18 April 2024
  • [[File:Spiral center 3.png|450px|right]] a) <math>XO = ZO, AO = BO, O</math> is the crosspoint of bisectors <math>AB</math> and <math>XZ.</math>
    28 KB (4,853 words) - 22:23, 19 November 2024
  • ==Symmetry with respect angle bisectors== [[File:Bisectors 1.png|350px|right]]
    19 KB (3,291 words) - 12:44, 6 October 2024
  • ...with <math>\angle A = 60^\circ, AD, BE,</math> and <math>CF</math> be its bisectors, <math>P, Q</math> be the projections of <math>A</math> to <math>EF</math> [[File:2024 final 9 3.png|450px|right]]
    46 KB (7,965 words) - 14:29, 17 November 2024