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- Conway_triangle_notation abstract "In geometry, the Conway triangle notation, named after John Horton Conway, allows trigonometric functions of a triangle to be managed algebraically. Given a reference triangle whose sides are a, b and c and whose corresponding internal angles are A, B, and C then the Conway triangle notation is simply represented as follows:where S = 2 × area of reference triangle andin particular where is the Brocard angle. for values of where Hence:Some important identities:where R is the circumradius and abc = 2SR and where r is the incenter, and Some useful trigonometric conversions:Some useful formulas:Some examples using Conway triangle notation:Let D be the distance between two points P and Q whose trilinear coordinates are pa : pb : pc and qa : qb : qc. Let Kp = apa + bpb + cpc and let Kq = aqa + bqb + cqc. Then D is given by the formula:Using this formula it is possible to determine OH, the distance between the circumcenter and the orthocenter as follows:For the circumcenter pa = aSA and for the orthocenter qa = SBSC/aHence:This gives:".
- Conway_triangle_notation wikiPageID "15910144".
- Conway_triangle_notation wikiPageRevisionID "543361145".
- Conway_triangle_notation hasPhotoCollection Conway_triangle_notation.
- Conway_triangle_notation title "Conway Triangle Notation".
- Conway_triangle_notation urlname "ConwayTriangleNotation".
- Conway_triangle_notation subject Category:Triangle_geometry.
- Conway_triangle_notation subject Category:Trigonometry.
- Conway_triangle_notation comment "In geometry, the Conway triangle notation, named after John Horton Conway, allows trigonometric functions of a triangle to be managed algebraically. Given a reference triangle whose sides are a, b and c and whose corresponding internal angles are A, B, and C then the Conway triangle notation is simply represented as follows:where S = 2 × area of reference triangle andin particular where is the Brocard angle.".
- Conway_triangle_notation label "Conway triangle notation".
- Conway_triangle_notation label "Conway-driehoeknotatie".
- Conway_triangle_notation sameAs Conway-driehoeknotatie.
- Conway_triangle_notation sameAs m.03qfs54.
- Conway_triangle_notation sameAs Q2131768.
- Conway_triangle_notation sameAs Q2131768.
- Conway_triangle_notation wasDerivedFrom Conway_triangle_notation?oldid=543361145.
- Conway_triangle_notation isPrimaryTopicOf Conway_triangle_notation.