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" If from any point in the base of an isosceles triangle parallels to the equal sides be drawn, show that a parallelogram is formed whose perimeter is equal to the sum of the equal sides of the triangle. "
Junior High School Mathematics ... - Page 35
by Edson Homer Taylor, Fiske Allen - 1923
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Elements of Geometry, Part 1

Andrew Wheeler Phillips, Irving Fisher - Geometry - 1896 - 272 pages
...sides, but greater than half their sum. Hint.— Apply g 7 and 95. CO" 130. Exercise. — If from a point in the base of an isosceles triangle parallels to the sides are drawn, a parallelogram is formed, the sum of whose four sides is the same wherever the point is situated (and...
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Exercises in Wentworth's Geometry: With Solutions

George Albert Wentworth - Geometry - 1896 - 296 pages
...and BD bisect Z B. Then BD = AD. PBOOF. ZA = JZ ABC= Z ABD. (Hyp.) .-. BD = AD. (g 156) BC Ex. 54. If from any point in the base of an isosceles triangle parallels to the legs are drawn, show that a parallelogram is formed whose perimeter is constant, and equal to the sum...
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Elements of Geometry

George Washington Hull - Geometry - 1897 - 408 pages
...exterior angle is formed at the vertex of an isosceles triangle, its bisector is parallel to the base. 71. If from any point in the base of an isosceles triangle parallels to the sides are drawn, a parallelogram is formed whose perimeter is equal to the sum of the two equal sides of the triangle....
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Plane and Solid Geometry

James Howard Gore - Geometry - 1898 - 232 pages
...non-parallel sides of a trapezoid are equal, the angles which they make with the bases are equal. 3. If from any point in the base of an isosceles triangle parallels to the equal sides are drawn, the perimeter of the parallelogram thus formed is equal to the sum of the equal...
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The Essentials of Geometry (plane)

Webster Wells - 1898 - 264 pages
...joining the middle points of the sides of a triangle divide it into four equal triangles. ( 130.) 65. If from any point in the base of an isosceles triangle parallels to the equal sides be drawn, the perimeter of the parallelogram formed is equal to the sum of the equal sides...
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Plane Geometry

George Albert Wentworth - Geometry, Plane - 1899 - 272 pages
...triangle to the three vertices is less than the perimeter, but greater than half the perimeter. Ex. 64. If from any point in the base of an isosceles triangle parallels to the legs are drawn, a parallelogram is formed whose perimeter is constant, being equal to the sum E, of...
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Plane and Solid Geometry

George Albert Wentworth - Geometry - 1899 - 500 pages
...triangle to the three vertices is less than the perimeter, but greater than half the perimeter. Ex. 64. If from any point in the base of an isosceles triangle parallels to the legs are drawn, a parallelogram is formed whose perimeter is constant, being equal to the sum E of...
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Plane and Solid Geometry

James Howard Gore - Geometry - 1899 - 266 pages
...DE, DF, parallel to AB, AC, respectively, divide BC into three equal parts. 26. If from a variable point in the base of an isosceles triangle parallels to the sides are drawn, a parallelogram is formed whose perimeter is constant. 27. The diagonals of a square or rhombus bisect...
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The Essentials of Geometry

Webster Wells - Geometry - 1899 - 424 pages
...joining the middle points of the sides of a triangle divide it into four equal triangles. ( 130.) 65. If from any point in the base of an isosceles triangle parallels to the equal sides be drawn, the perimeter of the parallelogram formed is equal to the sum of the equal sides...
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Plane Geometry

Edward Brooks - 1901 - 278 pages
...parallelogram form a rectangle whose diagonals are parallel to the sides of the parallelogram. 25. If from any point in the base of an isosceles triangle parallels are drawn to the legs, a parallelogram will be formed whose perimeter is constant and equal to the...
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