| Lawrence Robert Dicksee - 1897 - 99 sider
...sides of a parallelogram is equal to the sum of the squares of its diagonals. Q. 6.—Prove that, if a **line be divided into any two parts, the rectangle contained by the** sum and difference of the two parts is equal to the difference of the squares on the two parts. Q.... | |
| University of Sydney - 1898
...2. Shew how to bisect a given triangle by a line drawn through a given point in one side of it. 3. **If a straight line be divided into any two parts, the rectangle contained by the whole** line and one of the parts is equal to the rectangle contained by the two parts together with the square... | |
| Henry Sinclair Hall, Frederick Haller Stevens - 1900 - 304 sider
...b units, then AB = a + b units ; and we have (« + bf PROPOSITION 3. THEOREM. 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... | |
| 1901
...figure DFBH is equal in area to the parallelogram AH. either В.— BOOK II. (6) 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. If the point of division... | |
| Euclid, Rupert Deakin - 1903 - 164 sider
...and b denote the two parts of a line which contains a + 6 units of length. PROP. 3.— Theorem.— It **a straight line be divided into any two parts, the rectangle contained by the whole** line and one of the parts, is equal to the square on that part together with the rectangle contained... | |
| Euclid - 1904 - 456 sider
...length, and 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
...described on the other two 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,...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, the rectangle... | |
| 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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