 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 322by Euclid - 1908Full view - About this book
 | Robert Potts - 1855 - 1050 pages
...Prove also that the two diameters bisect each other. 3. 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 Solve the same problem algebraically, and give... | |
 | Euclides - 1855 - 270 pages
...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... | |
 | Cambridge univ, exam. papers - 1856 - 252 pages
...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 - 390 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 - 578 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 - 248 pages
...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 - 136 pages
....«'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 - 672 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... | |
 | Education - 1859 - 414 pages
...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 account of the... | |
 | Royal college of surgeons of England - 1860 - 332 pages
...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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