 | War office - 1861 - 260 pages
...MA 1. Any two sides of a 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... | |
 | Euclides - 1862 - 140 pages
...Conclusion. — 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. (References— Prop. I. 3, 10, 46, 47;... | |
 | Alfred Wrigley - Mathematics - 1862 - 330 pages
...points of contact, and 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.... | |
 | University of Oxford - Education, Higher - 1863 - 316 pages
...exterior angle shall be greater than either of the interior opposite angles. 5. 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. 6. Triangles on equal bases, and between... | |
 | Woolwich roy. military acad - 1864 - 588 pages
...amount of ll. in 37 years at 4^ per cent, per annum compound interest. 11. 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. State the purpose of a proposition in... | |
 | Henry White - 1864 - 156 pages
...the two parts, together 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,... | |
 | Robert Potts - 1865 - 528 pages
...AC, CD. Wherefore, if a 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... | |
 | Euclides - 1865 - 402 pages
...square of the line made up of the half and the part produced. Prop. 11. To 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. Prop. 12. In obtuse-angled triangles,... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...AC, CD. Wherefore, if a straight line &c. QED H 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. Let AB be the given straight line : it is... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 424 pages
...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 lie equal to the square on the other part. Let AB be the given straight line : it... | |
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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. 
