1. Geometry is a science which treats of the measurement of magnitudes.2. A definition is a statement explaining the significance of a word or a phrase.Every definition should be clear, simple, descriptive, and correct; that is, it should contain the essential qualities or exclude all others, or both.3. A point is that which has position but not magnitude.4. A line is that which has length but no other magnitude.5. A straight line is a line which is determined (fixed in position) by any two of its points. That is, two lines that coincide entirely, if they coincide at any two points, are straight lines.6. A rectilinear figure is a figure containing straight lines and no others.7. A surface is that which has length and breadth but no other magnitude.8. A plane is a surface in which if any two points are taken, the straight line connecting them lies wholly in that surface.9. Plane Geometry is a science which treats of the properties of magnitudes in a plane.10. A solidTable of Contents Introduction 11; Angles 12; Triangles 14; Symbols 16; Axioms 16; Postulates 17; Book I Angles, Lines, Rectilineak Figuues 18; Preliminary Theorems18; Theorems und Demonstrations 20; Model Demonstrations 24; Quadrilaterals 45; Polygons 54; Symmetry 58; Locus60; Summary General Directions for attacking Originals 62; Original Exercises 64; Book II The Cikclk 70; Preliminary Theorems 81; Theorems and Demonstrations 82; Summary 92; Original Kxercises 03; Kinds of Quantities Measurement 07; Original Exercises 1""7; Constructions 115; Analysis 1-7; Original C'ousLructiuns 128; Book III Proportion Similar Figures 140; Theorems and Demonstrations 141; Original Exercises (Numerical) 1G8; Summary Original Exercises (Theorems) 172; Constructions 180; Original Constructions 184; Book IV Areas 187; Theorems and Demonstrations 187; Original Exerc