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Boost Your grades with this illustrated Study Guide. You will use it from college to graduate school and beyond. FEATURES:- Clear and concise explanations - Difficult concepts are explained in simple terms - Illustrated with graphs and diagrams TABLE OF CONTENTS:Geometry Background Euclidean Geometry Euclidean Space Line Line Segment Incidence of planes and lines Incidence Structure Euclidean Distance One-dimensional distance Two-dimensional distance Three-dimensional distance Postulate The Plane Areas of Mathematics Translation Translational Symmetry Similarity Triangles Triangle Types of triangles Points, lines and circles associated with a triangle Computing the area of a triangle Using vectors Using trigonometry Using coordinates Using Heron's formula Ceva's Theorem Heron's Formula Equilateral Triangle Right Angle Pythagorean Theorem Pythagorean Triple Heronian Triangle Triangle Inequality Pedoe's Inequality Similar triangles Parallel Lines Congruence Parallel Postulate Polygons Convex polygon Internal Angle Diagonal Perimeter Quadrilateral Isosceles Trapezoid Parallelogram Kite Rhombus, Rhomboid Rectangle Square Cyclic Quadrilateral, Brahmagupta's formula Tangential Quadrilateral Star Polygon Circles Analytic results Properties Calculating the parameters Area of a Disk Circular Sector Circular Segment Circumference Nine-point Circle Transformational Geometry Scaling Rotation, Euler's Formula, Rotation Matrix, Quaternions and Spatial Rotation Reflection Coordinate Rotations and Reflections Linear Map Solid Geometry Dihedral angle and Solid angle The Cube Cuboid Hypercube Graph Parallelepiped Prisms The Tetrahedron and Pyramid Octahedron, Dodecahedron, Icosahedron Cones and Cylinders The Sphere and Spheroid, Quadrics: Ellipsoid Paraboloid Hyperboloid
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