An Elementary Course of Plane Geometry

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Thomas Murby, 1868 - Geometry, Modern - 261 pages

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Page 55 - ... parallel to the first. 75. No two straight lines drawn from the extremities of the base of a triangle to the opposite sides can possibly bisect each other. 76. If the opposite sides of a quadrilateral are equal it is a parallelogram. 77. If the opposite angles of a quadrilateral are equal it is a parallelogram. 78. The diagonals of a parallelogram bisect each other. 79. If the diagonals of a quadrilateral bisect each other it is a parallelogram. 80. If the straight line joining two opposite angles...
Page 151 - Describe a circle which shall pass through two given points, and have its centre in a given line.
Page 66 - If two parallel lines are cut by a third straight line, the sum of the two interior angles on the same side of the transversal is equal to two right angles, (p.
Page 90 - There are two columns in the ruins of Persepolis, left standing upright ; one is 70 feet above the plane, and the other 50...
Page 5 - I., 5), (3) that, if two straight lines cut one another, the vertically opposite angles are equal (Eucl.
Page 77 - The square of the sum of two numbers is equal to the square of the first, plus twice the product of the first and the second, plus the square of the second.
Page 90 - May-pole, whose top was broken off" by a blast of wind, struck the ground at the distance of 15 feet from the foot of the pole ; what was the height of the whole May-pole, supposing the length of the broken piece to be 39 feet ?
Page 44 - S.SO. 1. Prove that, if two sides of a triangle are unequal, the angle opposite the greater side is greater than the angle opposite the less.

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