 | Robert Johnston (F.R.G.S.) - Civil service - 1872 - 218 pages
...equal to the squares of the two parts, together with twice the rectangle contained by the parts. 6. Divide a given straight line into two parts, so that the rectangle contained by the whole aud one of the parts shall be equal to the square of the other part. C Draw a straight line (rom a... | |
 | Euclides, James Hamblin Smith - Geometry - 1872 - 376 pages
...rectangle equal to a given square, and having one of its sides equal to a given straight line. Ex. 2. Divide a given straight line into two parts, so that the rectangle contained by them shall be equal to the square described upon a straight line, which is less than half the line... | |
 | Henry Major - Student teachers - 1873 - 588 pages
...; bnt DG is equal to DB ; therefore the squares of AD, DB are twice the squares of AC, CD. XI. — 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. It is required to divide AB into two parts,... | |
 | Edward Atkins - 1874 - 426 pages
...squares on AD and DB are double of the squares on AC and CD. Therefore, if a straight line, &c. QED Proposition 11. — Problem. To divide a given straight...that the rectangle contained by the whole and one of the parts shall be equal to the square on the other part. Let AB be the given straight line. It... | |
 | Euclides - 1874 - 120 pages
...CD n such units, shew that this proposition may be thus stated, and prove that the equation is true. PROPOSITION 11. PROBLEM. To divide a given straight...that the rectangle contained by the whole and one of the parts may be equal to the square on the other part. 1. Let AB be the given straight line : it... | |
 | Braithwaite Arnett - 1874 - 130 pages
...angles. 2. Parallelograms -on equal bases, and between the same parallels, are 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. If on the larger of the two parts into which... | |
 | University of Madras - 1874 - 502 pages
...verier to the points of section THURsDAY, 12rn FEB., 2 TO 5 PM GEOMETRY. H. FORTEI, MA I. Divide a 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. Divide a line AB in C so that the rectangle... | |
 | Euclides - 1874 - 342 pages
...twice the square on the given line. 4. The square of a line is four times the square of its halt 5. Divide a given straight line into two parts, so that the rectangle contained by them may be equal to a given square. 6. To find a line whose square shall be equal to two given squares.... | |
 | Education Ministry of - 1880 - 238 pages
...are equal, and the diagonal bisects them. What is the hypothesis in this proposition ? 4. Divide a 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. 5. Describe a square that shall be equal... | |
 | Euclides, Frederick Burn Harvey - Geometry - 1880 - 178 pages
...beyond A, The squares on BD and AD = double the squares on BC and CD. FS PROP. XI. PROBLEM. 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. Let AB be a straight line. It is required... | |
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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. 
