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" The midpoints of two opposite sides of a quadrilateral and the midpoints of the diagonals determine the vertices of a parallelogram. * Ex. "
Plane Geometry - Page 71
by Arthur Schultze - 1901
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Plane and Solid Geometry

Wooster Woodruff Beman, David Eugene Smith - Geometry - 1895 - 346 pages
...triangle, is it possible to draw, to the hypotenuse, a line longer than the hypotenuse ? Proof. 124. A line from the vertex of an isosceles triangle to any point on the base produced is greater than either side. Is this also true for a scalene triangle ? 125. If...
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Plane and Solid Geometry

Wooster Woodruff Beman, David Eugene Smith - Geometry - 1895 - 344 pages
...triangle, is it possible to draw, to the hypotenuse, a line longer than the hypotenuse ? Proof. 124. A line from the vertex of an isosceles triangle to any point on the base produced is greater than either side. Is this also true for a scalene triangle ? PLANE...
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New Plane and Solid Geometry

Wooster Woodruff Beman, David Eugene Smith - Geometry - 1899 - 412 pages
...triangle, is it possible to draw, to the hypotenuse, a line longer than the hypotenuse ? Proof. 103. A line from the vertex of an isosceles triangle to any point on the base produced is greater than either side. Is this also true for a scalene triangle ? PROPOSITION...
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Plane and Solid Geometry

Arthur Schultze, Frank Louis Sevenoak - Geometry - 1901 - 396 pages
...angle, a bisector of a base angle divides the figure into two isosceles triangles. * Ex. 276. If aline from one end of the base of an isosceles triangle...arm in E, the prolongation of the other in F, then CE<CF. Ex. 282. If in the triangle ABC AB>AC, and D is a point in the prolongation of BA, then DB>DC....
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Plane and Solid Geometry

Arthur Schultze, Frank Louis Sevenoak - Geometry - 1901 - 394 pages
...divides the figure into two isosceles triangles, then the line is a bisector of the base triangle, and each base angle equals the double of the vertical...arm in E, the prolongation of the other in f, then CE<CF. Ex. 282. If in the triangle ABC AB>AC, and Z> is a point in the prolongation of BA, then DB>DC,...
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Plane and Solid Geometry

Arthur Schultze - 1901 - 392 pages
...the base angle, and each base angle equals the double of the vertical angle. MISCELLANEOUS EXERCISES •Ex. 277. The midpoints of two opposite sides of...arm in E, the prolongation of the other in F, then •CE<CF. Ex. 282. If in the triangle ABC AB>AC, and D is a point in the prolongation of BA, then DB>DC....
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Plane and Solid Geometry

Arthur Schultze, Frank Louis Sevenoak - Geometry - 1901 - 394 pages
...bisectors of the exterior angles of a quadrilateral form a quadrilateral, the sum of whose opposite an^lus is equal to one straight angle. Ex. 280. A line from...triangle, ABC, a line be drawn to meet one arm in K, the prolongation of the other in F, then CE<CF. Ex. 282. If in the triangle ABC AB>AC, and Z> is...
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Elementary Geometry: Practical and Theoretical

Charles Godfrey, Arthur Warry Siddons - Geometry - 1903 - 384 pages
...cuts the base BC produced towards C. Prove that AY > AX. Ex. 64O. Prove that the straight line joining the vertex of an isosceles triangle to any point in the base produced is greater than either of the equal sides. Ex. 641. Prove that the straight line joining the...
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Plane and Solid Geometry

Elmer Adelbert Lyman - Geometry - 1908 - 364 pages
...equal to ZB'. .'. B' must fall at B, and the A are congruent. 134. Exercise. Show that the line joining the vertex of an isosceles triangle to any point in the base is shorter than either side of the triangle. If the point to which the line from the vertex is drawn is...
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Plane Geometry Developed by the Syllabus Method

Eugene Randolph Smith - Geometry, Plane - 1909 - 204 pages
...whose area equals five times the area of a given circle. 551. Prove that the square of a line drawn from the vertex of an isosceles triangle to any point in the base is equal to the square of the leg, diminished by the product of the segments of the base. 552. Determine...
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