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 29
... Circle Adams ' Method Adams ' method is a numerical METHOD for solving linear FIRST - ORDER ORDINARY DIFFERENTIAL EQUA- TIONS OF THE FORM B incircle S contact triangle Let T Adams ' circle R dy = f ( x , y ) . dx h = xn + 1 - Xn ( 1 ) ...
... Circle Adams ' Method Adams ' method is a numerical METHOD for solving linear FIRST - ORDER ORDINARY DIFFERENTIAL EQUA- TIONS OF THE FORM B incircle S contact triangle Let T Adams ' circle R dy = f ( x , y ) . dx h = xn + 1 - Xn ( 1 ) ...
Page 97
... circles , and draw their inner SODDY CIRCLES . Then draw the inner SODDY CIRCLES of this circle with each pair of the original three , and continue iteratively . The points which are never inside a circle form a set of measure 0 having ...
... circles , and draw their inner SODDY CIRCLES . Then draw the inner SODDY CIRCLES of this circle with each pair of the original three , and continue iteratively . The points which are never inside a circle form a set of measure 0 having ...
Page 98
... CIRCLE with DIAMETER UV is called the A - Apollonian circle . Similarly , construct the B- and C - Apollonian circles . The Apollonian circles pass through the VERTICES A , B , and C , and through the two ISODYNAMIC POINTS S and S ...
... CIRCLE with DIAMETER UV is called the A - Apollonian circle . Similarly , construct the B- and C - Apollonian circles . The Apollonian circles pass through the VERTICES A , B , and C , and through the two ISODYNAMIC POINTS S and S ...
Page 99
... circles having a common tangent circle. See also APOLLONIUS , BEND (CURVATURE PURSUIT PROBLEM TRIAN- GLE ), CASEY'S THEOREM , CIRCULAR , DESCARTES CIRCLE THEOREM , FOUR COINS PROBLEM , HART CIRCLE , HART'S THEOREM , SODDY CIRCLES for ...
... circles having a common tangent circle. See also APOLLONIUS , BEND (CURVATURE PURSUIT PROBLEM TRIAN- GLE ), CASEY'S THEOREM , CIRCULAR , DESCARTES CIRCLE THEOREM , FOUR COINS PROBLEM , HART CIRCLE , HART'S THEOREM , SODDY CIRCLES for ...
Page 103
... CIRCLE with DIAMETER BD. Let AC01 and r0AB, then simultaneously solve the equations r2'h20x2 (1) If AC01 and AB0r ... CIRCLE centered at A and of RADIUS r0AB intersects the enclosing SEMICIRCLE , and let C? be the point at which the ...
... CIRCLE with DIAMETER BD. Let AC01 and r0AB, then simultaneously solve the equations r2'h20x2 (1) If AC01 and AB0r ... CIRCLE centered at A and of RADIUS r0AB intersects the enclosing SEMICIRCLE , and let C? be the point at which the ...
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Common terms and phrases
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