Modern Methods in Elementary GeometryMacmillan, 1868 - 112 σελίδες |
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Σελίδα 21
... middle point of AB let CD be drawn perpendicular to AB . Then every point on CD is equally distant from A and from B. For if P be any point on CD , and PA , PB be joined , these lines must be equal , being equally remote from the ...
... middle point of AB let CD be drawn perpendicular to AB . Then every point on CD is equally distant from A and from B. For if P be any point on CD , and PA , PB be joined , these lines must be equal , being equally remote from the ...
Σελίδα 24
... the one side of AD , there is a like point , line , or angle on the other . THEOREM XXI . The perpendiculars DG , EH , FK drawn through D , E , F , A E F K H B D the middle points of the sides of a triangle ABC 24 ELEMENTARY GEOMETRY .
... the one side of AD , there is a like point , line , or angle on the other . THEOREM XXI . The perpendiculars DG , EH , FK drawn through D , E , F , A E F K H B D the middle points of the sides of a triangle ABC 24 ELEMENTARY GEOMETRY .
Σελίδα 25
E. M. Reynolds. the middle points of the sides of a triangle ABC , meet in one point . Let DG and EH intersect in O. Then since O is a point on DG , it is equally distant from B and C. [ I. 19 . And since O is a point on EH , it is ...
E. M. Reynolds. the middle points of the sides of a triangle ABC , meet in one point . Let DG and EH intersect in O. Then since O is a point on DG , it is equally distant from B and C. [ I. 19 . And since O is a point on EH , it is ...
Σελίδα 26
... point within it , shew that AB + BC + CA are greater than DA + DB + DC , and less than twice DA + DB + DC . 4. The two sides of a triangle are together greater than twice the straight line drawn from the vertex to the middle point of ...
... point within it , shew that AB + BC + CA are greater than DA + DB + DC , and less than twice DA + DB + DC . 4. The two sides of a triangle are together greater than twice the straight line drawn from the vertex to the middle point of ...
Σελίδα 27
... 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 ... middle point of one side of THE STRAIGHT LINE . 27.
... 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 ... middle point of one side of THE STRAIGHT LINE . 27.
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A'BC Algebra alternate angle altitude angle equal arc CD ARITHMETIC BC² bisect BROOKE FOSS WESTCOTT CA² Cambridge centre chord circle touching circumference cloth coincide congruent CONIC SECTIONS contain convex angle convex polygon Crown 8vo diagonals diameter dicular divide Edward Thring ELEMENTARY TREATISE equal angles equally distant equally remote equiangular equiangular and similar equilateral triangle Examples exterior angle Fcap Find the locus GEOMETRY given angle given circle given line given point given straight line greater Hence intersect isosceles John's College late Fellow Let ABCD line drawn MATHEMATICAL measure meet middle point opposite sides parallel to CD parallelogram perpen perpendicular polygon produced quadrilateral figure radius rectangle right angles right-angled triangle Schools Second Edition segments Shew shortest line similar triangles student tangent THEOREM THEOREM VII Third Edition trapezium triangle ABC vertex