 | Euclides - 1871 - 136 pages
...with twice sq. on EF = twice sq. on AC together with twice sq. on CD. QED; 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. x) Let AB be the given st. line. On AB... | |
 | Robert Johnston (F.R.G.S.) - Civil service - 1872 - 218 pages
...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... | |
 | Henry Major - Student teachers - 1873 - 588 pages
...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,... | |
 | Charles Elsee - 1873 - 320 pages
...the other travels yards per second. Determine their rates per hour. (24) Divide a line 20 inches long into two parts, so that the rectangle contained by the whole and one part may be equal to the square on the other part. (25) Land was bought for 1000 guineas ; and the... | |
 | Francis Cuthbertson - Euclid's Elements - 1874 - 400 pages
...of the squares on PQ and PG, and is .-. = the square on GQ, (i. 35) PROBLEM B. To 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. Let PQ be the given straight line. On PQ... | |
 | Euclides - 1874 - 120 pages
...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... | |
 | Edward Atkins - 1874 - 426 pages
...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... | |
 | Braithwaite Arnett - 1874 - 130 pages
...-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... | |
 | Euclides - 1874 - 342 pages
...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, shall be equal to the square on the other part. Let AB be the given straight line. It... | |
 | University of Madras - 1874 - 502 pages
...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... | |
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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. 
