## Modern Methods in Elementary Geometry |

### From inside the book

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**dicular**AD , are equal . { AE , AF are equally remote from AD if DE DF ) . Let the figure ADE be turned about AD ; then since ADE = ADF , DE will take the direction of DF . And since DE = DF , the point E will coincide with the point F ... Page 12

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**dicular**. A Therefore and BD = DC , C = B. I. 6. Cor . 1 . = COR . 1. Also BAD CAD . 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 ... Page 13

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**dicular**. A B C Ꭰ Hence if ADC be turned about AD , C will fall between D and B , as at C ' . Then the exterior angle AC'D is greater than ABD ; that is , C > B. Conversely , if the angle C be greater than the angle B , then shall AB ... Page 18

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**dicular**, and will coincide . If one of the angles C and C ' be acute and the other obtuse , the triangles are not congruent . If one of the angles as C ' be a right angle , A'C ' will coincide with A'D . In this case AC must also ... Page 23

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**dicular**to AB , and to AC . Then in the triangles PAE , PAF , PAE = PAF , AEP = AFP , and AP is common . Therefore PE = PF [ 1. 15 . Also no point not in AD can be equally distant from AB and from AC . Let G be a point not on AD . Let ...### 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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