| Euclid - 1904 - 456 sider
...let CB contain 6 units, BOOK II. PROP. 3. PROPOSITION 3. THEOREM. 133 If a straight line is divided **into any two parts, the rectangle contained by the whole and one of the parts is equal to the** square on that part together with the rectangle contained by the two parts. ACB Let the straight line... | |
| Euclid - 1908
...construction of this triangle depends upon n. n, or the problem of dividing a straight line so that **the rectangle contained by the whole and one of the parts is equal to the** square on the other part. This problem of course appears again in Eucl. vi. 30 as the problem of cutting... | |
| Cowley Oxon, dioc. school - 1860
...sides of it,the angle contained by these two sides is a right angle. 8. If a straight line be divided **into any two parts, the rectangle contained by the...by the two parts, together with the square of the** aforesaid part. 9. If a straight line be divided into two equal parts, and also into two unequal parts,... | |
| Education Department - 1879
...square on the base is less than the sum of the squares on the sides. 9. If a straight line be divided **into any two parts, the rectangle contained by the...contained by the two parts together with the square** on the aforesaid part. Show that this proposition in a particular case of proposition I. of the Second... | |
| Euclid
...construction of this triangle depends upon u. n, or the problem of dividing a straight line so that **the rectangle contained by the whole and one of the parts is equal to the** square on the other part. This problem of course appears again in Eucl. vi. 30 as the problem of cutting... | |
| Brian Lasater - 2008 - 600 sider
...is a variation on (a + b)(a - b) = a2 -- b2. Theorem 7 (II, 11) To cut a given straight line so that **the rectangle contained by the whole and one of the parts is equal to the** square of the other. Let the given line be AB. The problem is to find a point H on it so that AB x... | |
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