 | Samuel H. Winter - 1877 - 452 pages
...arc. 6. If two straight lines cut one another within a circle, the rectangle contained by the segments of the one shall be equal to the rectangle contained by the segments of the other. In a given straight line AB, find a point 0 such that the rectangle contained... | |
 | 1877 - 678 pages
...together with the square of the other part. What is the algebraical equivalent to this proposition? 5. To divide a given straight line into two parts, so that the rectangle contained by the whole, and one of the parts, shall be equal to the square of the other part.... | |
 | W J. Dickinson - Geometry - 1879 - 44 pages
...parts. 2. If the sides of a triangle be as 2, 4, 5, show whether it will be acute or obtuse angled. 3. Divide a given straight line into two parts, so that the square on one part shall be double the square on the other. 4. In any triangle BAG, a line AD is drawn, bisecting... | |
 | Euclides - 1879 - 146 pages
...Observe, in suggesting only : — see the note at the beginning of Book ii.] PROPOSITION XI. PROBLEM. To divide a given straight line into two parts, so that the rectangle contained by the whole and one of the parts may be equal to the square on the other part.... | |
 | Edward Harri Mathews - 1879 - 94 pages
...described will be equal to the sum of all the others so described, with twice the original square. 3. To divide a given straight line into two parts so that the rectangle contained by the whole and one of the parts may be equal to the square on the other part.... | |
 | Education Ministry of - 1880 - 238 pages
...straight lines cut one another at right angles within a circle, the rectangle contained by the segments of the one shall be equal to the rectangle contained by the segments of the other. From this proposition deduce a method for constructing a square equal to a given... | |
 | French Ensor Chadwick - Merchant marine - 1880 - 222 pages
...equal and parallel straight lines towards the same parts are also themselves equal and parallel. 2. To divide a given straight line into two parts so that the rectangle contained by the whole and one of the parts may be equal to the square on the other part.... | |
 | 1880 - 160 pages
...the squares on the two parts, together with twice' *the rectangle contained by the two parts. (viii.) To divide a given straight line into two parts, so that the rectangle contained by the whole and one of the parts may be equal to the square on the other part.... | |
 | Isaac Todhunter - Euclid's Elements - 1880 - 426 pages
...are double of the squares on AC, CD. Wherefore, if a straight line &c. QED PROPOSITION 11. PROBLEM. To divide a given straight line into two parts, so that the rectangle contained by the whole and one of the parts may be equal to the square on the other part.... | |
 | Pupil teachers - 1880 - 1486 pages
...greater than the sum of the squares on the other two sides, the triangle is obtuseangled (n. 12). QED 3. Divide a given straight line into two parts, so that the square on one part shall be double the square on the other. エ 人 tAB 丘 尺 the 伊 vens 廿 aightⅡne... | |
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AB into two parts, so that the rectangle contained by the whole line and one of the parts, shall be equal to the square on the other part. 
