## A Shorter Geometry |

### What people are saying - Write a review

We haven't found any reviews in the usual places.

### Contents

FIRST STAGE | 1 |

Direction | 11 |

SECOND STAGE | 22 |

Parallel Straight Lines | 29 |

Angles of a Polygon | 37 |

Congruent Triangles | 49 |

Miscellaneous Exercises | 60 |

Drawing to Scale | 66 |

Construction To circumscribe a circle about a given | 155 |

The Tangent | 166 |

Angles at a point | 171 |

Construction To inscribe a circle in a given triangle | 172 |

Angle properties | 179 |

Miscellaneous exercises | 195 |

Area of circle | 202 |

Miscellaneous exercises | 211 |

Table of facts or theorems | 75 |

Continuous change of a figure | 86 |

Construction To draw a straight line parallel to a given | 95 |

The locus of a point which is equidistant | 102 |

Area by counting squaressquared paper | 114 |

Area op triangle | 120 |

The theorem op Pythagoras | 128 |

Projections | 136 |

A a + bk ak + bk | 142 |

PAGE | 149 |

Ratio and proportion | 219 |

If H K are points in the sides AB AC of | 226 |

Proportional compasses | 236 |

ii If AB CD two chords of a circle | 243 |

ii The external bisector of an angle of | 249 |

If a straight line stands on another straight | 257 |

those straight lines is equal or supplementary to | 264 |

Inequalities | 273 |

307 | |

### Other editions - View all

### Common terms and phrases

altitude angles are equal base BC bisector bisects Calculate centimetres chord circle of radius circles touch circumcircle circumference concyclic Constr construct a triangle cyclic quadrilateral Data diagonals diameter divided Draw a circle Draw a straight drawn parallel edge equal circles equiangular equidistant equilateral triangle exterior angle figure fixed circle fixed point freehand given angle given circle given line given point given straight line hypotenuse inches interior common tangent intersect isosceles triangle ITEx length line joining locus of points Measure meet mid-point miles opposite sides parallel to BC parallelogram Plot the locus polygon Prove quadrilateral ABCD radii ratio reflex angle Repeat Ex rhombus right angles right-angled triangle segment semicircle set square Show similar triangles Theorem tracing paper triangle ABC vertex vertical angle

### Popular passages

Page xiii - In a right-angled triangle, the square on the hypotenuse is equal to the sum of the squares on the sides containing the right angle . . . . 130 Applications of Pythagoras' theorem . . . . 132 THEOREM 6.

Page xi - The locus of a point which is equidistant from two intersecting straight lines consists of the pair of straight lines which bisect the angles between the two given lines.

Page xviii - If two triangles have one angle of the one equal to one angle of the other, and the sides about the equal angles proportionals, the triangles shall be equiangular, and shall have those angles equal which are opposite to the homologous sides.