| Euclid - 1845 - 336 sider
...that the difference between the squares on AD, DB is equal to twice.the rect. AB . CD. 173. PROP. 7. **The sum of the squares on two sides of a triangle is equal to twice the** sum of the squares on half the base and on the median drawn to the base (Apollonius' Theorem). •... | |
| S. N. Forrest - 1925 - 444 sider
...diagrammatically that the theorem is true. The converse of the theorem is also true, that is, if it is found that **the sum of the squares on two sides of a triangle is equal to** the square on the third side, it follows that the triangle is right-angled. Fig. 128 A triangle whose... | |
| 1981 - 440 sider
...diagrammatically that the theorem is true. The converse of the theorem is also true, that is, if it is found that **the sum of the squares on two sides of a triangle is equal to** the square on the third side, it follows that the triangle is right-angled. Fig. 128 A triangle whose... | |
| 464 sider
...side. 3. Divide by a geometrical construction a straight line 7 cm. long into nine equal parts. 4. If **the sum of the squares on two sides of a triangle is equal to** the square on the third side, prove that the triangle is right.angled. If the sides of a triangle are... | |
| University of St. Andrews - 1907 - 682 sider
...circumscribed circles of the triangles BOO. COA, AOB, ABC are equal. 2. Prove that the difference between **the squares on two sides of a triangle is equal to twice the** rectangle contained by the base and that part of the base which is intercepted between its middle point... | |
| University of St. Andrews - 1897 - 600 sider
...lines is equal to twice the sum of the squares on the lines themselves. The sum of the squares on the **sides of a triangle is equal to twice the square on half the** base together with twice the square on the median drawn to that base. 3. On a given straight line describe... | |
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