## Modern Methods in Elementary Geometry |

### From inside the book

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Page 11

... TRIANGLES . THEOREM X. If one side BC of a

... TRIANGLES . THEOREM X. If one side BC of a

**triangle ABC**be produced , the ex- terior angle ACD is equal to the two interior and opposite angles A and B ; and the three angles A , B , and C are equal to two right angles . Through C draw ... Page 12

... 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 equal . THEOREM XII . If in any

... 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 equal . THEOREM XII . If in any

**triangle ABC**the side ELEMENTARY GEOMETRY . Page 13

E. M. Reynolds. THEOREM XII . If in any

E. M. Reynolds. THEOREM XII . If in any

**triangle ABC**the side AB be greater than the side AC , then shall the angle C be greater than the angle B. Let AD be the perpendicular . Then since AB is greater than AC , it is more remote from ... Page 14

...

...

**triangles ABC**, A'B'C ' , AB = A'B ' , BC = B'C ' , CA = C'A ' , then shall CC ' , A A ' , and B = B ' . = B A B ' Α ' A C Apply the**triangle ABC**to the triangle A'B'C ' so that the point B may be on B ' , and BC on B'C ' ; C will ... Page 15

...

...

**triangles ABC**, A'B'C ' , A ' B B AB = A'B ' , BC = B'C ' , and B = B ' , then shall CA = C'A ' ; C = C ' , and A = A ' . Apply the**triangle ABC**to the triangle A'B'C ' , so that A may be on A ' and AB fall on A'B ' . Then because AB ...### 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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