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
| Sir John Leslie - Geometry, Plane - 1809 - 522 pages
...square of BD, together with the rectangle AD, DC. -A.JQ Cor. The square of a straight line BD drawn **from the vertex of an isosceles triangle to any point in the base** produced, is equivalent to the square of BA the side of the triangle, together with the rectangle contained... | |
| Euclides - Geometry - 1853 - 178 pages
...whose square shall be equal to the given sum. SECT. II. — THEOREMS. 5. If a straight line be drawn **from the vertex of an isosceles triangle to any point in the base,** the square described on this line, together with the rectangle contained by the segments of the base,... | |
| Euclid - Geometry - 1853 - 176 pages
...straight line bisects the angle opposite to the base of an isosceles triangle. If a straight line be drawn **from the vertex of an isosceles triangle to any point in the base** or the base produced. It also bisects the triangle. The sum of the squares on the two sides is equal... | |
| Francis Cuthbertson - Euclid's Elements - 1874 - 400 pages
...two parts, so that the sum of their squares may be the least possible. 3. If a straight line be drawn **from the vertex of an isosceles triangle to any point in the base,** the square on this line together with the rectangle under the segments of the base equals the square... | |
| Franklin Ibach - Geometry - 1882 - 208 pages
...equivalent to the difference of the squares described on the lines. 5. If a straight line is drawn **from the vertex of an isosceles triangle to any point in the base,** the square of this line is equivalent to the rectangle of the segments of the base together with the... | |
| Euclid, John Casey - Euclid's Elements - 1885 - 340 pages
...less than it, it must be greater. Exercises. 1 . Prove this Proposition by a direct demonstration. 2. **A line from the vertex of an isosceles triangle to any point in the base is** less than either of the equal sides, but greater if the point be in the base produced. 3. Three equal... | |
| Euclides - 1885 - 340 pages
...than it, it must be greater. Exercises. • 1 . Prove this Proposition by a direct demonstration. 2. **A line from the vertex of an isosceles triangle to any point in the base is** less than either of the equal sides, but greater if the point be in the base produced. 3. Three equal... | |
| Edward Albert Bowser - Geometry - 1890 - 414 pages
...to the square on half the line. (Euclid, B. II, prop. 5.) 49. The square on the straight line, drawn **from the vertex of an isosceles triangle to any point in the base, is** less than the square on a side of the triangle by the rectangle of the segments of the base. 50. The... | |
| Henry Martyn Taylor - 1893 - 486 pages
...that each part of the base is less than the adjacent side of the triangle. 3. A straight line drawn **from the vertex of an isosceles triangle to any point in the base** produced is greater than either of the equal sides. 4. If D be any point in the side BC of a triangle... | |
| Henry Martyn Taylor - Euclid's Elements - 1895 - 708 pages
...that each part of the base is less than the adjacent side of the triangle. 3. A straight line drawn **from the vertex of an isosceles triangle to any point in the base** produced is greater than either of the equal sides. 4. If D be any point in the side BC of a triangle... | |
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