 | Association for the improvement of geometrical teaching - Geometry, Modern - 1876 - 66 pages
...several parts into which the other is divided. COR. T. 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. COR. 2.... | |
 | Euclides - 1878 - 398 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 - 506 pages
...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 - 146 pages
...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 - 620 pages
...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 - 414 pages
...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 - 426 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... | |
 | Euclides, Frederick Burn Harvey - Geometry - 1880 - 178 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 - 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 one of the parts shall be equal to the square of the other part. If the solution is obtained by a quadratic equation... | |
 | Euclides - Euclid's Elements - 1881 - 236 pages
...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... | |
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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 up of the whole and that... 
