Geometry and Its ApplicationsMeyer's Geometry and Its Applications, Second Edition, combines traditional geometry with current ideas to present a modern approach that is grounded in realworld applications. It balances the deductive approach with discovery learning, and introduces axiomatic, Euclidean geometry, nonEuclidean geometry, and transformational geometry. The text integrates applications and examples throughout and includes historical notes in many chapters. The Second Edition of Geometry and Its Applications is a significant text for any college or university that focuses on geometry's usefulness in other disciplines. It is especially appropriate for engineering and science majors, as well as future mathematics teachers.

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Contents
1  
37  
3 NonEuclidean Geometry  103 
Isometries and Symmetries  143 
5 Vectors in Geometry  199 
Isometries and Matrices  257 
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Common terms and phrases
algorithm angle sum apply axis called central similarity collinear combinatorial structure components connecting contradiction coordinates corresponding cross curve definition diagonals direction vector distance draw edge end effector equations Euclid’s Euclidean geometry example Exercises Marks challenging exterior angle face coloring formula fullerene geodesic gives glide reflection graph Hamilton circuit Hint horizontal hyperbolic geometry image plane infinite face intersection isometry L1 and L2 length line segment list coloring Marks challenging exercises mathematics matrix measure ML ML moves opposite origin parallel axiom parallel projection parametric equations perpendicular perspective projection pixels planar map polygon polyhedra polyhedron position vector previous exercise problem proof of Theorem prove quadrilateral radius robot rotation Section shortest path sides sphere spherical geometry spherical triangle spline strip pattern Suppose symmetry threedimensional translation triangle ABC vector polynomial vertex coloring vertices Voronoi diagram xvector
Popular passages
Page 19  It was the habit of the Epicureans, gays Proclus, to ridicule this theorem as being evident even to an ass and requiring no proof, and their allegation that the theorem was
Page 44  The sum of the measures of the angles of a triangle is 180°.
Page 4  ... c is the length of the hypotenuse and a and b are the lengths of the other two sides.
Page 42  June, 1893. 1. Prove that if the diagonals of a quadrilateral bisect each other the figure is a parallelogram. 2. Prove that in any rightangled triangle the square on the side opposite to the right angle is equal to the sum of the squares on the other two sides. A purely geometrical proof is preferred. State fully each principle employed in the proof. 3. Given a straight line AB...
Page 33  The volume of a rectangular parallelepiped is equal to the product of its three dimensions.
References to this book
Beyond the Einstein Addition Law and Its Gyroscopic Thomas Precession: The ... A.A. Ungar No preview available  2001 