| William Walton, Charles Frederick Mackenzie - Mathematics - 1854 - 266 pages
...BD the other diameter, the difference of the parallelograms is equal to twice the triangle BSD. 2. **Divide a given straight line into two parts so that the rectangle contained by the whole** line and one of the parts shall be equal to the square of the other part. Produce a given straight... | |
| Cambridge univ, exam. papers - 1854 - 282 pages
...BD the other diameter, the difference of the parallelograms is equal to twice the triangle BKD. 2. **Divide a given straight line into two parts so that the rectangle contained by the whole** line and one of the parts shall be equal to the square of the other part. Produce a given straight... | |
| William Somerville Orr - Science - 1854 - 532 pages
...the remarks at the end of this book. PROPOSITION XI.— PROBLEM. To divide a given straight line (AB) **into two parts, so that the rectangle contained by the whole, and** от of the parts, shall be equal to the square of the other part. From A draw AC perpendicular and... | |
| Robert Potts - 1855 - 1050 pages
...that iSj divides them into two equal parts. Prove also that the two diameters bisect each other. 3. **Divide a given straight line into two parts, so that...and one of the parts, shall be equal to the square** of the other part Solve the same problem algebraically, and give the geometrical interpretation of... | |
| Great Britain. Committee on Education - School buildings - 1855 - 976 pages
...upon the other two sides of it, the angle contained by those two sides is a right angle. 3. Divide a **straight line into two parts, so that the rectangle...and one of the parts shall be equal to the square** of the other part. Section 3. 1. The angles in the same segment of a circle are equal. 2. If from a... | |
| John Playfair - Geometry - 1855 - 336 pages
..., and the proposition is evident from this algebraical equality. PROP. XI. PROB. To divide a givrn **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 the other part. I Let AB be the given straight line; it is required to... | |
| Euclides - 1855 - 262 pages
...the square of the straight line which joins the points of the bisection of the diagonals. . PROP. D. **PROBLEM. — To divide a given straight line into two parts so that the rectangle contained by** its segments shall be equal to a given square, not greater than the square of half the given straight... | |
| Cambridge univ, exam. papers - 1856 - 200 pages
...contained by the whole and each of the parts are together equal to the square of the whole line. 7. **To divide a given straight line into two parts, so...and one of the parts shall be equal to the square** of the other part. 8. If a straight line drawn through the centre of a circle bisect a straight line... | |
| Cambridge univ, exam. papers - 1856 - 252 pages
...contained by the whole and each of the parts, are together equal to the square of the whole line. 7. **Divide a given straight line into two parts, so that...and one of the parts, shall be equal to the square** of the other part. 8. If two circles cut one another, they shall not have the same centre. 9. If two... | |
| Henry White - 1856 - 178 pages
...one side of it are either two right angles, or are together equal to two right angles. 18 Divide a **straight line into two parts, so that the rectangle contained by the whole and** ono of the parts shall be equal to the square of the other part. 19 If two circles cut each other,... | |
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