CRC Concise Encyclopedia of MathematicsUpon publication, the first edition of the CRC Concise Encyclopedia of Mathematics received overwhelming accolades for its unparalleled scope, readability, and utility. It soon took its place among the top selling books in the history of Chapman & Hall/CRC, and its popularity continues unabated. Yet also unabated has been the d |
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Page 13
... TRIANGLE , but any two TRIANGLES with the same ANGLES are SIMILAR . Specifying two ANGLES of a TRIANGLE automatically gives the third since the sum of ANGLES in a TRIANGLE sums to 180 ° ( л RADIANS ) , i.e. , С = л - А - B . See also ...
... TRIANGLE , but any two TRIANGLES with the same ANGLES are SIMILAR . Specifying two ANGLES of a TRIANGLE automatically gives the third since the sum of ANGLES in a TRIANGLE sums to 180 ° ( л RADIANS ) , i.e. , С = л - А - B . See also ...
Page 28
... triangles into which an arbitrary OBTUSE TRIANGLE can be dissected is seven if B > 90 ° , B - A , B - C < 90 ° , and otherwise eight ( Manheimer 1960 , Gardner 1981 , Wells 1991 ) . A SQUARE can be dissected into as few as 9 acute triangles ...
... triangles into which an arbitrary OBTUSE TRIANGLE can be dissected is seven if B > 90 ° , B - A , B - C < 90 ° , and otherwise eight ( Manheimer 1960 , Gardner 1981 , Wells 1991 ) . A SQUARE can be dissected into as few as 9 acute triangles ...
Page 29
... TRIANGLE , GERGONNE POINT References Honsberger , R. " A Real Gem . " §7.4 ( v ) in Episodes in Nineteenth and Twentieth Century Euclidean Geometry . Washington , DC : Math . Assoc . Amer . , pp . 62-4 and 98 , 1995 . Acyclic Graph ...
... TRIANGLE , GERGONNE POINT References Honsberger , R. " A Real Gem . " §7.4 ( v ) in Episodes in Nineteenth and Twentieth Century Euclidean Geometry . Washington , DC : Math . Assoc . Amer . , pp . 62-4 and 98 , 1995 . Acyclic Graph ...
Page 66
... TRIANGLE i which are PERPENDICULAR opposite Ai. The three altitudes of to any the LEGS TRIANGLE A are jA k CONCUR- RENT at the ORTHOCENTER H (Durell 1928). This fundamental fact did not appear ... Triangle Altitude Triangle A2 A1 H3 H H2 Hi.
... TRIANGLE i which are PERPENDICULAR opposite Ai. The three altitudes of to any the LEGS TRIANGLE A are jA k CONCUR- RENT at the ORTHOCENTER H (Durell 1928). This fundamental fact did not appear ... Triangle Altitude Triangle A2 A1 H3 H H2 Hi.
Page 82
... Triangle Anthropomorphic Polygon A SIMPLE POLYGON with precisely two EARS and one MOUTH . References Toussaint , G. " Anthropomorphic Polygons . " Amer . Math . Monthly 122 , 31-5 , 1991 . Anthyphairetic Ratio An archaic term for a ...
... Triangle Anthropomorphic Polygon A SIMPLE POLYGON with precisely two EARS and one MOUTH . References Toussaint , G. " Anthropomorphic Polygons . " Amer . Math . Monthly 122 , 31-5 , 1991 . Anthyphairetic Ratio An archaic term for a ...
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Abramowitz Academic Press Addison-Wesley Algebraic ALGORITHM Amer ANGLE ARCHIMEDEAN SOLID Arfken AXIOM Bernoulli BESSEL FUNCTION BETA FUNCTION BINOMIAL COEFFICIENT Boca Raton BROCARD Calculus called Cambridge University Press CIRCLE Combinatorics COMPLEX NUMBER Comput CONIC Conjecture constant Continued Fractions Convex COORDINATES Coxeter CRC Press CUBE Cubic curve CYCLOID defined denoted Dictionary of Curious Differential Equations Differential Geometry digits Diophantine Equation Dirichlet Discrete Mathematics DISTRIBUTION DIVISOR DIVISOR FUNCTION Dover Encyclopedia of Integer England ffiffiffi finite FORMULA Geometry given Graph Theory GROUP HYPERGEOMETRIC identity Integer Sequences intersection JOHNSON SOLID KNOT Math Mathematica Mathematical Tables MATRIX N. J. A. Sequences Number Theory On-Line Version Penguin Dictionary PLANE points POLYGON POLYHEDRON POLYNOMIAL POLYOMINO PRIME Problem References RIEMANN ZETA FUNCTION SERIES Skiena Sloane Sloane's solution SPACE Springer-Verlag SQUARE Stegun SURFACE TANGENT THEOREM TION Topology TRANSFORM TRIANGLE VECTOR Weisstein Wiley York