 | Edward Harri Mathews - 1879 - 94 pages
...triangles must be taken. 2. 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. Show that the point of section lies between the extremities of the line. 3. Upon a given straight line... | |
 | W J. Dickinson - Geometry - 1879 - 44 pages
...produced. 11. Show how 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. • Same proposition. Show that the squares on the whole line and one part are equal to three times... | |
 | Woolwich roy. military acad, Walter Ferrier Austin - 1880 - 190 pages
...MATHEMATICS. (2.) 1. By the application of algebra to geometry divide a straight line into two parts, so that the rectangle contained by the whole line and...parts shall be equal to the square of the other part. If the solution is obtained by a quadratic equation and one root does not apply to the question as... | |
 | Oxford univ, local exams - 1880 - 396 pages
...angle. 4. 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. 5. The angle at the centre of a circle is double of the angle at the circumference upon the same base,... | |
 | Royal Institution of Chartered Surveyors - Agriculture - 1881 - 532 pages
...line. 8. 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. 9. If in a circle two straight lines cut one another which do not both pass through the centre, they... | |
 | William Thomas Knight - 1881 - 98 pages
...r>(ab) + (bc) (ca) (a -¿) = o. 49. Divide unity into two parts such that the product of the whole and one of the parts shall be equal to the square of the other part. Give the answer to three places of decimals. 50. Given ab - \(a + b) (p + q) +pg = o, Show that if... | |
 | Institution of Surveyors (Great Britain). - Surveying - 514 pages
...line. 8. 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. 9. If in a circle two straight lines cut one another which do not both pass through the centre, they... | |
 | Euclides - Euclid's Elements - 1881 - 236 pages
...straight line. It is required to divide AB 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. Upon AB describe (I. 46) the square CB. Bisect AC in E (I. 10), and join BE. Produce CA to F, and make... | |
 | 1882 - 486 pages
...greater angle. 4. 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 of the other part. 5. To describe a square that shall be equal to a given rectilineal figure. Euclid, Book III. 1. Equal... | |
 | 1884 - 266 pages
...centres. 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. 4. The angles in the same segment of a circle are equal to one another. 5. If the diameter of a circle... | |
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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. 
