 | Sandhurst roy. military coll - 1859 - 672 pages
...straight lines toward the same parts are themselves equal. 3. To divide a straight line into two parts so that the rectangle contained by the whole and one of the parts shall be equal to the square on the other part. 4. In a circle the angle in a semicircle is a right... | |
 | Royal college of surgeons of England - 1860 - 332 pages
...parallelograms about the diameter of a square are squares. 8. Divide a given straight line into two such parts, that the rectangle contained by the whole and one of the parts shall be equal to the square of the other part. 9. If the middle points of the sides of a given equilateral... | |
 | Philip Kelland - 1860 - 308 pages
...together. Eequired their rates of running. 19. To divide a line 12 inches long into two such parts that the rectangle contained by the whole and one of the parts may be equal to the square of the other part. (Euclid, 2, 11). 20. To divide a given line (a) into... | |
 | War office - 1861 - 260 pages
...triangle are together greater than the third. 2. 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 on the other part. If the given line be a foot long, compute the lengths... | |
 | Euclides - 1862 - 140 pages
...Given. — Let AB be the given straight line. Sought. — It is required to divide AB into two parts, so that the rectangle contained by the whole and one of the parts shall be equal to the square on the other part. Construction. — 1. Upon AB describe the square ABDC.... | |
 | Alfred Wrigley - Mathematics - 1862 - 330 pages
...the diameter drawn from one of these points. 71. 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 of a given line, which is less than the line to be divided. 72. To draw... | |
 | University of Oxford - Education, Higher - 1863 - 316 pages
...side of the base shall be equal to one another. 3. 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. 4. The opposite sides and angles of a parallelogram are... | |
 | Woolwich roy. military acad - 1864 - 588 pages
...an equilateral triangle. 8. Draw a straight line 2'76 inches long, and divide it 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. FREE-HAND DRAWING. REV. W. KINGSLBY, BD [NB — The... | |
 | Henry White - 1864 - 156 pages
...with twice the rectangle contained by the parts. 5. 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. 6. Draw a straight line from a given point, either... | |
 | Robert Potts - 1865 - 528 pages
...straight liue, &c. QED PROPOSITION XI. PROBLEM. To divitfe 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 on the otlier part. Let AB be the given straight line. It is required... | |
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AB be the given straight line ; it is required to divide it 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. 
