AB be the given straight line ; it is required to divide it 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. Introduction and books 1,2 - Page 402by Euclid, Sir Thomas Little Heath, Johan Ludvig Heiberg - 1908Full view - About this book
| Euclides - 1855
...equarea of A С and С D together. PROP. XI. 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 oflhe other part. Let AB be the given straight line. It is required... | |
| Great Britain. Committee on Education - Schools - 1855
...the angle contained by those two sides is a right angle. 3. 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. Section 3. 1. The angles in the same segment... | |
| Cambridge univ, exam. papers - 1856
...are together equal to the square of the whole line. 7. 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. 8. If two circles cut one another, they shall... | |
| Henry Latham - 1857 - 59 pages
...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. Define a decimal... | |
| War office - 1858 - 12 pages
...same side together equal to two right angles. VOLUNTARY PORTION. 1. 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. 2. Describe a circle that shall pass through... | |
| Euclides - 1858
...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 square on a given... | |
| Euclides - 1858
....«'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. 2. DEM. 6. II,... | |
| Sandhurst roy. military coll - 1859 - 1869 pages
...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 semicircle is a... | |
| Royal college of surgeons of England - 1860
...parts, together with the square of the aforesaid 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. Show that the diagonals of a rhombus bisect... | |
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