 | Association for the improvement of geometrical teaching - Geometry, Modern - 1884 - 150 pages
...contained by AB and CE, AB and EF, AB and FD. QED vj COR. 1. If a straight line is divided into two parts, the rectangle contained by the whole line and one of the parts is equal to the sum of the square on that part and the rectangle contained by the two parts. This follows... | |
 | 1885 - 608 pages
...sides and angles of a parallelogram are equal to one another, and that the diagonal bisects it. 6. 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. Female Candidates for Class I.... | |
 | Oxford univ, local exams - 1885 - 358 pages
...a given triangle, and have one of its angles equal to a given rectilineal angle. 8. 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. WEDNESDAY, DECEMBER 12, from 9.30... | |
 | Euclid, John Casey - Euclid's Elements - 1885 - 340 pages
...together with four times the square on the line joining the points of bisection. 6. Divide a given line into two parts, so that the rectangle contained by the whole and one segment may be equal to any multiple of the square on the other segment. 7. If P be any point... | |
 | Education - 1885 - 630 pages
...proposition given to him in the form of—' If a straight line be divided into any two pans, four times the rectangle contained by the whole line and one of the parts, together with the square on the other part, is equivalent to the square of the straight line, which... | |
 | Euclides - 1885 - 340 pages
...together with lour times the square on the line joining the points of bisection. 6. Divide a given line into two parts, so that the rectangle contained by the whole and one segment may be equal to any multiple of the square on the other segment. 7. If P be any point... | |
 | Dalhousie University - 1887 - 206 pages
...the line between the points of section, is equal to the square on half the line. 10. 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. 11. Tf a straight line touch a circle,... | |
 | Bedford College - 1888 - 240 pages
...— AE LEE. 1. Prove that the perpendicular bisectors of the sides of a triangle meet at a point. 2. Divide a 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 part. 3. Describe a circle to pass through three... | |
 | Canada. Department of the Interior - 1888 - 756 pages
...squares on the two parts, together with twice the rectangle contained by the parts. 7. Divide a ;ivon straight line into two parts, so that the rectangle contained by the whole an<l one of the parts shall be equal to the square on the other part. 8. Describe a square that shall... | |
 | Dalhousie University - 1888 - 212 pages
...side, these two straight lines shall be parallel. 3. If a straight line be diyided into any two parts, the rectangle contained by the whole line and one of the parts, is equal to the rectangle contained by the two parts, together with the square of the aforesaid part.... | |
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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. 
