# Plane Geometry

Scott, Foresman, 1918 - Geometry, Plane - 277 pages

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### Contents

 Preliminary Statement 7 Symbols and Abbreviations 16 Fundamental Principles 29 Triangles 38 Axioms of Equality 45 Quadrilaterals 61 Inequalities 69 Concurrent Lines 80
 Measurement of the Circle 243 Computation of 7T 250 Maxima and Minima 264 Symmetry 270 Determining a Plane 278 Lines and Planes Perpendicular 288 Diedral Angles 295 Polyedral Angles 302

 Methods of Proof 89 General Exercises 96 THE CIRCLE 103 Tangents and Secants 110 Angle Measurement 116 Problems of Construction 125 Location of Points Loci 133 AREAS OF POLYGONS 145 The Parallelogram 155 Practical Methods 162 Theorem of Pythagoras 165 Transformations and Constructions 174 General Exercises 180 PROPORTION AND SIMILARITY 187 Similarity 200 Similar Polygons 210 Trigonometric Ratios 219 REGULAR POLYGONS MEASUREMENT OF CIRCLES 231
 Loci 307 POLYEDRONS PRISMS CYLINDERS 313 Areas of Prisms and Cylinders 319 Parallelepipeds 326 Similar Prisms and Cylinders 336 PYRAMIDS AND CONES 343 Areas of Pyramids and Cones 349 Volumes of Pyramids and Cones 357 Similar Pyramids and Cones 365 Polyedrons 373 General Exercises 379 Distance on a Sphere 386 Relative Positions of Spheres 392 Volume of a Sphere 400 Spherical Angles 407 Polar Triangles 415 General Exercises 425 Copyright