 | Sir John Leslie - 1809 - 522 σελίδες
...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 - 1853 - 176 σελίδες
...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 - 1853 - 176 σελίδες
...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 - 1874 - 400 σελίδες
...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 - 1882 - 208 σελίδες
...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 - 1885 - 340 σελίδες
...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 σελίδες
...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 - 1890 - 414 σελίδες
...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 σελίδες
...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 - 1895 - 708 σελίδες
...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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The midpoints of two opposite sides of a quadrilateral and the midpoints of the diagonals determine the vertices of a parallelogram. * Ex. 
