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 71by Arthur Schultze - 1901Full view - About this book
| 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... | |
| 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... | |
| 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... | |
| 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.... | |
| 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,... | |
| 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.... | |
| 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... | |
| 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... | |
| 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... | |
| 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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