# New Plane Geometry

Ginn, 1899 - 252 sider

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### Innhold

 INTRODUCTION 1 THE DEMONSTRATIONS OF GEOMETRY 9 RECTILINEAR FIGURES 21 TRIANGLES 50 PROBLEMS 67 LOCI OF Points 80 EQUALITY OF POLYGONS 90 PROBLEMS 109
 RATIO AND PROPORTION 159 THE THEORY OF Limits 169 A PENCIL CUT BY ANTIPARALLELS OR BY A CIRCUMFERENCE 177 SIMILAR FIGURES 185 PROBLEMS 194 THE MENSURATION OF PLANE FIGURES 201 The PartitION OF THE PERIGON 212 APPENDIX TO PLANE GEOMETRY 226

 CENTRAL ANGLES 117 CHORDS AND TANGENTS 133 Two CIRCLES 151
 MAXIMA AND MINIMA 237 TABLES 245 Opphavsrett

### Populære avsnitt

Side 172 - A line parallel to one side of a triangle divides the other two sides proportionally.
Side 161 - The first and last terms of a proportion are called the extremes, and the two middle terms are called the means.
Side 147 - To draw a tangent to a given circle from a given point.
Side 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.
Side 121 - The perpendicular bisector of a chord passes through the center of the circle and bisects the arcs subtended by the chord.
Side 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.
Side 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.
Side 38 - If two triangles have two sides of the one respectively equal to two sides of the other, and the...
Side 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.
Side 65 - The lines joining the mid-points of the opposite sides of a quadrilateral bisect each other.