| Cambridge univ, exam. papers - 1856
...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 - 59 pages
...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 - 12 pages
...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
...ijivru. ihr .«'iķe». 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
...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 - 1869 pages
...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... | |
| Education - 1859
...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 - Geometry, Plane - 1860 - 361 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 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
...(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
...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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