## Modern Methods in Elementary Geometry |

### From inside the book

Page 23

... < GP + PF , PF = PE . GH < GE . Hence AD is the locus of a point equally distant from AB and from AC . If AD be equally distant from AB and AC , the

... < GP + PF , PF = PE . GH < GE . Hence AD is the locus of a point equally distant from AB and from AC . If AD be equally distant from AB and AC , the

**distance**being measured by perpendiculars let fall from a point in THE STRAIGHT LINE . 23. Page 24

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**distance**being measured along a line perpendicular to AD . For , E B GP -D F -C joining EF , each to each , and EA , AG = FA , AG EAG = FAG ; therefore EAG , FAG are congruent triangles , and EG = GF . Also the angles EGA , FGA are ... Page 26

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**distances**of any point on the base of an isosceles triangle from the sides is constant . What is the case if the point be taken on the base produced ? 9. If the opposite sides of a quadrilateral figure be 26 ELEMENTARY GEOMETRY . Page 27

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**distances**upon the sides in order . Join the points thus determined . The figure so formed is a square . 19. If two triangles have two sides of the one equal to two sides of the other , each to each , but the angle included by those ... Page 28

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**distance**from a fixed point . 2. Its**distance**from a fixed line . 3. The sum of its**distances**from two fixed lines . 4. The difference of its**distances**from two fixed lines . 30. If two sides of a triangle be produced , the lines which ...### 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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