 | Queensland. Department of Public Instruction - 1897 - 446 sider
...together equal to two right angles. 6 5. Prove Eue. I. 20, without producing a side of the triangle. 7 6. 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 square on that part together with the rectangle contained... | |
 | Lawrence Robert Dicksee - 1897 - 122 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 - 548 sider
...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... | |
 | Euclid, Henry Sinclair Hall, Frederick Haller Stevens - 1900 - 330 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 - 548 sider
...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 - 218 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 - 488 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 - 456 sider
...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 - 318 sider
...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 - 452 sider
...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... | |
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If a straight line be divided into any two parts, the rectangle contained by the whole and one of the parts, is equal to the rectangle contained by the two parts, together with the square of the aforesaid part. 
