## Modern Methods in Elementary Geometry |

### From inside the book

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Page 12

... Hence in an isosceles tri angle the perpendicular bisects the

... Hence in an isosceles tri angle the perpendicular bisects the

**base**and the angle at the vertex . COR . 2. All the angles of an equilateral triangle are equal . THEOREM XII . If in any triangle ABC the side ELEMENTARY GEOMETRY . Page 26

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**base**. 5. If E be a point within the triangle ABC , the angle BEC is greater than the angle BA C. 1. 10. COR . 2 . 6 ...**base**of an isosceles triangle are equally distant from the opposite sides . 8. The sum of the distances of any ... Page 27

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**base**of the first shall be greater than that of the second . 20. The converse of 19 . 21. ABC is a right - angled triangle , A the right angle : draw AD perpendicular to BC : shew that the triangles ABC , ABD are equiangular to one ... Page 28

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**base**, it shall bisect the other side ; also its length intercepted between the sides of the triangle is half that of the**base**. 23 . Converse of 22 . 24. The lines which join the middle points of the sides of any quadrilateral figure ... Page 35

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**base**, an angle at the**base**, and the sum difference of the sides . 2. The**base**, the difference of the sides , and the differ- ence of the angles at the**base**. 3. The**base**, the angle at the vertex , and the sum or difference of the ...### Other editions - View all

### Common terms and phrases

Algebra alternate angle altitude ARITHMETIC base BC² BEGINNERS bisect BROOKE FOSS WESTCOTT Cambridge centre chord Christ's College circle touching circumference Clifton College cloth coincide congruent CONIC SECTIONS construct contains convex angle Crown 8vo describe a circle diagonals diameter dicular distance divide Edward Thring ELEMENTARY TREATISE equal angles equally distant equiangular equilateral triangle Examination Papers Exercises exterior angle Fcap Fellow of St GEOMETRY given circle given line given point given square given straight line greater Greek Text Head Master Hence inscribe intersect John's College Join JOSEPH WOLSTENHOLME Jugurtha late Fellow Latin Let ABCD line drawn locus Mathematical Lecturer measure meet middle point MIXED MATHEMATICS numerous parallel to BC parallelogram perpen perpendicular polygon problems quadrilateral figure radius rectangle right angles Second Edition Shew similar triangles student tangent THEOREM VII Third Edition trapezium triangle ABC vertex

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