 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.  Science Examination Papers - Page 46by Great Britain. Education Department. Department of Science and Art - 1899Full view - About this book
 | 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
...double of the squares on AC and CD. Therefore, 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 shall be equal to the square on the other part. Let AB be the given straight line. It... | |
 | Euclides - 1874 - 120 pages
...this proposition may be thus stated, and prove that the equation is true. 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. 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.... | |
 | Edward Atkins - 1874 - 428 pages
...equal to the square on the other part. Let AB be the given straight line. 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. — Upon AB describe the... | |
 | Euclid, James Bryce, David Munn (F.R.S.E.) - Geometry - 1874 - 236 pages
...the sums of the squares on the alternate segments of the sides are equal to one another. 12. Divide a straight line into two parts, so that the rectangle contained by the two parts shall be equal to the square on a given line. How many solutions are there? When is the problem... | |
 | Francis Cuthbertson - Euclid's Elements - 1874 - 400 pages
...parts may be equal to the rectangle contained by the other part and a given straight line. 5. Divide a straight line into two parts so that the rectangle contained by the segments shall be the greatest possible. 6. Divide a straight line into two parts so that the difference... | |
 | 1882 - 376 pages
...two given straight lines is equal to the difference of the squares on the given straight lines. 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 on the other part. 6. Prove that a circle cannot be described... | |
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