| Edward Atkins - 1876
...&c. Q. E, D. Proposition 8. — Theorem. If a straight line be divided into any two parts, four times **the rectangle contained by the whole line and one of the parts,** together with the square on the other part, is equal to the square on the straight line which is made... | |
| James Maurice Wilson - 1878
...rectangles contained by A and BD, A and DE, COR. i. <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 part s\. COR.... | |
| 1879
...having an angle equal to a given rectilineal angle. 4. Divide a given straight line into two parts, so **that the rectangle contained by the whole line and one of the parts may be** equal to the square on the other part. 5. Angles in the same segment of a circle are equal to one another.... | |
| University of Oxford - Greek language - 1879
...of its angles equal to a given rectilineal angle. 9. 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. 11. Inscribe an equilateral and equiangular hexagon... | |
| Euclides - 1879
...possible ? PROPOSITION VIII. THEOREM. If a straight line be divided into any two parts, four times **the rectangle contained by the whole line and one of the parts,** together with the square on the other part, is equal to the square on the straight line which is made... | |
| W J. Dickinson - Geometry - 1879 - 36 pages
...never less than twice their rectangle. 8. If a straight line be divided into any two parts, four times **the rectangle contained by the whole line and one of the parts,** together with the square of the other part, is equal to the square of the straight line, which is made... | |
| Moffatt and Paige - 1879
...line, etc. QED Proposition VIII. Theorem. If a straight line be divided into any two parts, four times **the rectangle contained by the whole line and one of the parts,** together with the square on the other part, is equal to the square on the straight line which is made... | |
| Woolwich roy. military acad, Walter Ferrier Austin - 1880
...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 one of the parts** shall be equal to the square of the other part. If the solution is obtained by a quadratic equation... | |
| Pupil teachers - 1880
...never less than twice their rectangle. 8.If a straight line be divided into any two parts, four times **the rectangle contained by the whole line and one of the parts,** together with the square of the other part, is equal to the square of the straight line, which is made... | |
| Isaac Todhunter - Euclid's Elements - 1880 - 400 pages
...straight line &c. QED PROPOSITION 8. THEOREM. If a straight line be divided into any two parts, four times **the rectangle contained by the whole line and one of the parts,** together with the square on the other part, is equal to the square on the straight line which u made... | |
| |