| Euclides, James Hamblin Smith - Geometry - 1878 - 349 pages
...be drawn from G to B and from. (? to D, shew that BGD is a straight line. PROPOSITION VIII. THEOREM. **If a straight line be divided into any two parts,...contained by the whole line and one of the parts, together** vrith the square on the other part, is equal to the square on the straight line which is made up of... | |
| Moffatt and Paige - 1879
...together with the square on A C. Therefore, if a straight line, etc. QED Proposition VIII. Theorem. **If a straight line be divided into any two parts,...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 up of the whole and that... | |
| Euclides - 1879
...the given line shall be equal to a given square. Is this always possible ? PROPOSITION VIII. THEOREM. **If a straight line be divided into any two parts,...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 up of the whole and that... | |
| Great Britain. Civil Service Commission - 1879
...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... | |
| University of Oxford - Greek language - 1879
...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... | |
| Isaac Todhunter - Euclid's Elements - 1880 - 400 pages
...AB, BC, together with the square on AC. Wherefore, if a straight line &c. QED PROPOSITION 8. THEOREM. **If a straight line be divided into any two parts,...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 up of the whole and thai... | |
| Euclid, F. B. Harvey - Geometry - 1880 - 119 pages
...squares on AB and AC = twice the rectangle AB, AC, together with the square on BC. PROP. VIII. THEOREM. **If a straight line be divided into any two parts,...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 up of the whole line and... | |
| 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... | |
| Euclides - 1881
...four times thu rectangle contained by fiem. ya straiyht line be divided into any two parts, four timet **the rectangle contained by the whole line, and one of the parts,** toe/ether with the square of the other part, is equal to the square of the straight line, which it... | |
| Education, Higher - 1882
...through the point of bisection and terminated by the parallel lines are also bisected in that point. 13. **If a straight line be divided into any two parts,...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 up of the whole and that... | |
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