 | Education - 1891 - 442 pages
...contained by the whole and that part together with the square on the other part. Prove this proposition. 8. Divide a straight line into two parts so that the rectangle contained by the whole and one of the parts may be equal to the square on the other part. 9. If a straight line be divided... | |
 | Rupert Deakin - Euclid's Elements - 1891 - 102 pages
...line and of the square on the line made up of the half and the part produced. 11. To 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 on the other. 12. In obtuse-angled triangles, if a perpendicular... | |
 | 1891 - 718 pages
...be equal to a given triangle, and have one of its angles equal to a given angle. 4. 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. 5. Find a line the square on which... | |
 | James Andrew Blaikie, William Thomson - Geometry - 1892 - 74 pages
...of the squares on half the line bisected, and on the line made up of the half and the part produced. 11. To divide a straight line into two parts so that...the rectangle contained by the whole line and one part shall be equal to the square on the other part. 12. In an obtuse-angled triangle, the square on... | |
 | James Blaikie - 1892 - 74 pages
...CHAPTER II. PROBLEMS. § 39. Problems which follow directly from known propositions. 1. Divide a given straight line into two parts so that the rectangle contained by the parts shall be equal to a given square. This is a converse problem to Euc. II. 1 4, and the following... | |
 | Seth Thayer Stewart - Geometry - 1893 - 262 pages
...intersection with О draw .L to diameter. Segments of diameter are sides of required CD. (P. x.) i9. Divide a straight line into two parts, so that the rectangle contained by the whole and one of the parts may equal the square of a line given less than the line to be divided. I. Erect... | |
 | Henry Martyn Taylor - 1893 - 486 pages
...of whose segments shall be four times as long as the other. When is this possible? 4. Divide a given straight line into two parts, so that the rectangle contained by the parts may be equal to a given rectangle. 5. A, B, C are three points on a circle, D is the middle point... | |
 | Great Britain. Education Department. Department of Science and Art - 1894 - 894 pages
..."would be 116 square yards ; find the dimensions of the room. (25.) B. 27. Show how to divide a given straight line into two parts, so that the rectangle contained by the whole and one of the parts may be equal to the square on the other part. Given a line AB, show how to produce... | |
 | Frederick Coate Wade - Catholic Church Education Manitoba - 1895 - 168 pages
...line. Construct a rectangle equal to the difference between two given squares. 5. To divide a given straight line into two parts, so that the rectangle contained by the whole and one of the parts may be equal to the square on the other part. If one side of a triangle be bisected,... | |
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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. 
