 | 1901 - 548 σελίδες
...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 - 1904 - 488 σελίδες
...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 σελίδες
...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 σελίδες
...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, the rectangle...rectangle contained 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... | |
 | Brian Lasater - 2008 - 600 σελίδες
...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... | |
 | Euclid - 452 σελίδες
...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... | |
 | Education Department - 1879 - 1118 σελίδες
...than the triangle ABD. 12. To find a mean proportional between two given straight lines. If a straight line be divided into any two parts, the rectangle contained by the two parts is greatest, when the parts are equal. i:j. Show that a regular hexagon ABCDEF inscribed... | |
 | Great Britain. Parliament. House of Commons - 1861 - 588 σελίδες
...perpendicular let fall upon it from the opposite angle and the angle aforesaid. 7. If a straight lino be divided into any two parts the rectangle contained by the whole line and one of the parts together with the square of the other part is equal to the rectangle contained... | |
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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. 
