Modern Methods in Elementary GeometryMacmillan, 1868 - 112 σελίδες |
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Σελίδα 19
... PARALLELOGRAMS . A Parallelogram is a four - sided figure which has its opposite sides parallel . THEOREM XVI . The opposite sides and angles of parallelograms are equal . Let ABCD be a parallelogram . Then shall AB = CD , BC = DA , AC ...
... PARALLELOGRAMS . A Parallelogram is a four - sided figure which has its opposite sides parallel . THEOREM XVI . The opposite sides and angles of parallelograms are equal . Let ABCD be a parallelogram . Then shall AB = CD , BC = DA , AC ...
Σελίδα 27
... parallelogram . 10. If the opposite angles of a quadrilateral figure be equal , it is a parallelogram . 11. The diagonals of a parallelogram bisect one another . 12. The diagonals of a rhombus bisect one another at right angles . 13 ...
... parallelogram . 10. If the opposite angles of a quadrilateral figure be equal , it is a parallelogram . 11. The diagonals of a parallelogram bisect one another . 12. The diagonals of a rhombus bisect one another at right angles . 13 ...
Σελίδα 28
... parallelogram : and the perimeter of this parallelogram is equal to the sum of the diagonals of the quadrilateral . 25. ABCD is a parallelogram . E , F the middle points of AB , CD . Shew that BF , DE trisect the diagonal AC . 26. A ...
... parallelogram : and the perimeter of this parallelogram is equal to the sum of the diagonals of the quadrilateral . 25. ABCD is a parallelogram . E , F the middle points of AB , CD . Shew that BF , DE trisect the diagonal AC . 26. A ...
Σελίδα 34
... 7. ( 3 ) To construct a triangle , having given two sides and the included angle . 4. To construct a triangle , having given two angles and a side . 8. To construct a parallelogram , knowing , 1. Two 34 ELEMENTARY GEOMETRY .
... 7. ( 3 ) To construct a triangle , having given two sides and the included angle . 4. To construct a triangle , having given two angles and a side . 8. To construct a parallelogram , knowing , 1. Two 34 ELEMENTARY GEOMETRY .
Σελίδα 35
E. M. Reynolds. 8. To construct a parallelogram , knowing , 1. Two adjacent sides and a diagonal . 2. A side and the two diagonals . 3. The two diagonals , and the angle between them . 4. The perimeter , a side ... parallelogram, knowing, ...
E. M. Reynolds. 8. To construct a parallelogram , knowing , 1. Two adjacent sides and a diagonal . 2. A side and the two diagonals . 3. The two diagonals , and the angle between them . 4. The perimeter , a side ... parallelogram, knowing, ...
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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