Modern Methods in Elementary GeometryMacmillan, 1868 - 112 σελίδες |
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Σελίδα 11
... 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 ...
... 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 ...
Σελίδα 12
... ABC the side AB be equal to the side AC , then shall the angle C be equal to the angle B. Let AD be the perpendicular drawn from A to BC . Then since AB = AC , these lines are equally remote ... triangle ABC the side 12 ELEMENTARY GEOMETRY .
... ABC the side AB be equal to the side AC , then shall the angle C be equal to the angle B. Let AD be the perpendicular drawn from A to BC . Then since AB = AC , these lines are equally remote ... triangle ABC the side 12 ELEMENTARY GEOMETRY .
Σελίδα 13
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 ...
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 ...
Σελίδα 14
... angle , equal to the corresponding parts of the other . THEOREM XIII . If in the triangles ABC , A'B'C ' , AB = A'B ' , BC = B'C ' , CA = C'A ' , then shall CC ' , A = A ' , and B = B ' . A B d B C B B Apply the triangle ABC to the triangle ...
... angle , equal to the corresponding parts of the other . THEOREM XIII . If in the triangles ABC , A'B'C ' , AB = A'B ' , BC = B'C ' , CA = C'A ' , then shall CC ' , A = A ' , and B = B ' . A B d B C B B Apply the triangle ABC to the triangle ...
Σελίδα 15
... triangles ABC , A'B'C ' , B A ' 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 ...
... triangles ABC , A'B'C ' , B A ' 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 ...
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A'BC Algebra alternate angle altitude angle equal arc CD ARITHMETIC bisect BROOKE FOSS WESTCOTT Cambridge centre circle touching circumference cloth coincide congruent CONIC SECTIONS contain convex angle convex polygon Crown 8vo diagonals diameter dicular divide duplicate ratio 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 BC parallelogram perpen perpendicular polygon produced quadrilateral figure radius rectangle right angles right-angled triangle Schools Second Edition segments Shew shortest line similar triangles student subtend tangent THEOREM THEOREM VII Third Edition trapezium triangle ABC vertex