| John Playfair - Euclid's Elements - 1846 - 334 pages
...(2a+i)2+J2=2o2+2(a+4)2, and the proposition is evident from this algebraical equality. PROP. XI. PROB. **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 of the other part.... | |
| Euclid - 1848 - 52 pages
...bisected, and of the square of the line made up of the half and the part produced. PROP. XI. PROBLEM. **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 of the other part.... | |
| Euclid, Thomas Tate - 1849 - 120 pages
...squares of AC, CD: Wherefore, if a straight line, &c. QED Again, because EG F is EF PROP. XI. PROB. **To divide a given straight line into two parts, so that the** -rectangle contained by the whole, and one of the parts, shall Tie equal to the square of the other... | |
| Euclides - 1852 - 152 pages
...and part produced (25). These two Propositions may be omitted at the first reading.] PEOP. XL PROB. **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 of the other part.... | |
| Bengal council of educ - 1852 - 348 pages
...two sides which contain the right angle. Is this proposition included in any more general one ? (2.) **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 of the other part.... | |
| Education - 1852 - 478 pages
...two sides which contain the right angle. Is this proposition included in any more general one ? 2. **To divide a given straight line into two parts, so that the** rectangle contained hy the whole and one of the parts, shall be equal to the square of the other part.... | |
| Euclides - 1853 - 146 pages
...are double of the squares of AC, CD. Wherefore, if a straight line, &c. QED PROP. XI. — PROBLEM. **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 of the other part.... | |
| Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...are double of the squares of AC, CD. Wherefore, if a straight line, etc. QED PROPOSITION XI. PROB. **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 of the other part.... | |
| Euclides - 1855 - 262 pages
...squares of AD and BD are together double of the equarea of A С and С D together. PROP. XI. PROBLEM. **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 oflhe other part.... | |
| Cambridge univ, exam. papers - 1856 - 200 pages
...contained by the whole and each of the parts are together equal to the square of the whole line. 7. **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 of the other part.... | |
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