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" The squares on two sides of a triangle are together equal to twice the square on half the third side and twice the square on the median to that side. If ABC be a... "
The American Mathematical Monthly: The Official Journal of the Mathematical ... - Side 52
1920
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The Elements of Plane Geometry

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). •...
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Mathematics For Technical students

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...
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Mathematics for Technical Students Book i, Bind 2

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...
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A Shorter Geometry

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...
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Calendar

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...
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Calendar

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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