# New Plane Geometry

Ginn, 1899 - Geometry, Modern - 252 pages
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### Contents

 INTRODUCTION 1 THE DEMONSTRATIONS OF GEOMETRY 9 RECTILINEAR FIGURES 21 PARALLELS AND PARALLELOGRAMS 43 PROBLEMS 67 LOCI OF POINTS 80 EQUALITY OF POLYGONS 90 PROBLEMS 109
 METHODS 152 RATIO AND PROPORTION 159 THE THEORY OF LIMITS 167 A PENCIL CUT BY ANTIPARALLELS OR BY A CIRCUMFERENCE 177 PROBLEMS 194 THE PARTITION OF THE PERIGON 205 THE MENSURATION OF THE CIRCLE 216 APPENDIX TO PLANE GEOMETRY 226

### Popular passages

Page 172 - A line parallel to one side of a triangle divides the other two sides proportionally.
Page 161 - The first and last terms of a proportion are called the extremes, and the two middle terms are called the means.
Page 147 - To draw a tangent to a given circle from a given point.
Page 186 - If two triangles have one angle of the one equal to one angle of the other and the sides about these equal angles proportional, the triangles are similar.
Page 121 - The perpendicular bisector of a chord passes through the center of the circle and bisects the arcs subtended by the chord.
Page 202 - That is, the number which represents its square units of area is the product of the two numbers which represent its base and altitude. For in prop. II, if R' = 1, the square unit of area, then a' and 6' must each equal 1, the unit of length.
Page 162 - If the product of two numbers equals the product of two other numbers, either two may be made the means and the other two the extremes of a proportion.
Page 38 - If two triangles have two sides of the one respectively equal to two sides of the other, and the...
Page 131 - An angle in a segment is greater than, equal to, or less than, a right angle, according as the segment is less than, equal to, or greater than, a semicircle.
Page 65 - The lines joining the mid-points of the opposite sides of a quadrilateral bisect each other.