 | Cambridge univ, exam. papers - 1856 - 252 sider
...contained by the whole and that part, together with the square of the other part. 8. 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. 9. If a straight line drawn through... | |
 | Henry Latham - 1857 - 390 sider
...formed shall pass through the same point. 3. Shew by diagram that a (b + c} = ab + ac. 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. Give the full construction. 4.... | |
 | War office - 1858 - 578 sider
...the uncle was twice as old as his nephew; what are their respective agesl Euclid. 1. Divide a given straight line into two parts, so that the rectangle contained by the whole and one part, shall be equal to the square of the other part. 2. Upon a given straight line describe... | |
 | Euclides - 1858 - 136 sider
...ijivru. ihr .«'iíe». o;' the reetnnt/lii e,m be found. BOOK II. 105 PRоP. XI. PRоB. To divide a 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. SoL. 46. I, 10. I, 3. I. Pat i.... | |
 | Euclides - 1858 - 248 sider
...exercises for the learner. " — LARDNEB'S Euclid, pp. 79 and 80. PROP. 11. — PROB. To divide a given 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. SOL. — 46. I. To describe a... | |
 | Sandhurst roy. military coll - 1859 - 672 sider
...the extremities of equal and parallel 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... | |
 | 1859 - 414 sider
...the square of the line between the points of section, is equal to the square of half the line. 10. 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 of the other part. JULIUS CAESAR. 1. Write a short... | |
 | Robert Potts - 1860 - 380 sider
...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 line and one of the parts, shall be equal to the square on the other part. FG it Upon AB describe the square A CDB ; (l. 46.)... | |
 | James Elliot - 1860 - 252 sider
...(as in Ex. C), the altitude of the triangle being a and the base b 1 8. A st* line a being divided so that the rectangle contained by the whole line and one of the parts is equal to the square of the other part, compute the lengths of the two parts. Ans. £a ( V 5 —... | |
 | Royal college of surgeons of England - 1860 - 332 sider
...other two sides of it, the angle contained by these two sides is a right angle. 4. 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. 5. To describe a square that... | |
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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. 
