In geometry, the Brocard triangle of a triangle is a triangle formed by the intersection of lines from a vertex to its corresponding Brocard point and a line from another vertex to its corresponding Brocard point and the other two points constructed using different combinations of vertices and Brocard points. This triangle is also called the first Brocard triangle, as further triangles can be formed by forming the Brocard triangle of the Brocard triangle and continuing this pattern.[1] The Brocard triangle is inscribed in the Brocard circle.[2] It is named for Henri Brocard.[3]
The Brocard triangle (in black) of the triangle ABC. B1 and B2 are the two Brocard points.
^Gentry, F. C. (1941), "Analytic geometry of the triangle", National Mathematics Magazine, 16 (3): 127–140, doi:10.2307/3028804, JSTOR 3028804, MR 0006038.
brocard, triangle, geometry, triangle, triangle, formed, intersection, lines, from, vertex, corresponding, brocard, point, line, from, another, vertex, corresponding, brocard, point, other, points, constructed, using, different, combinations, vertices, brocard. In geometry the Brocard triangle of a triangle is a triangle formed by the intersection of lines from a vertex to its corresponding Brocard point and a line from another vertex to its corresponding Brocard point and the other two points constructed using different combinations of vertices and Brocard points This triangle is also called the first Brocard triangle as further triangles can be formed by forming the Brocard triangle of the Brocard triangle and continuing this pattern 1 The Brocard triangle is inscribed in the Brocard circle 2 It is named for Henri Brocard 3 The Brocard triangle in black of the triangle ABC B1 and B2 are the two Brocard points See also editHenri Brocard Brocard pointsNotes edit Gentry F C 1941 Analytic geometry of the triangle National Mathematics Magazine 16 3 127 140 doi 10 2307 3028804 JSTOR 3028804 MR 0006038 Weisstein Eric W First Brocard Triangle MathWorld Brocard biography nbsp This elementary geometry related article is a stub You can help Wikipedia by expanding it vte Retrieved from https en wikipedia org w index php title Brocard triangle amp oldid 1120667566, wikipedia, wiki, book, books, library,
