 | Alexander Hadden Hutchinson - 1861 - 128 pages
...also into two unequal parts, the rectangle contained by the unequal parts together with the square cf the line between the points of section is equal to the square of half the line. VOLUNTARY PORTION. 1. In a right angled triangle if a perpendicular be drawn from... | |
 | War office - 1861 - 260 pages
...also into two unequal parts, the rectangle contained by the unequal parts together with the square of the line between the points of section is equal to the square of half the line. State and explain Euclid's corollary to this proposition. 3. The angles in the same... | |
 | Euclides - 1862 - 140 pages
...line be divided into two equal parts, and also into two unequal parts, the rectangle contained by the unequal parts, together with the square on the line between the points of section, ^s equal to the square on half the line. (References— Prop. I. 31, 34, 36, 43, 46; II. 4, cor.) Hypothesis.... | |
 | Euclides - 1862 - 172 pages
...two unequal parts ; then the rectangle contained by the unequal parts, together with the square of the line between the points of section, is equal to the square of half the line. (References — Prop. i. 31, 34, 36, 43, 46; n. 4, Cor.) Let the straight line AB... | |
 | University of Oxford - Education, Higher - 1863 - 316 pages
...into two unequal parts ; the rectangle contained by the unequal parts, together with the square of the line between the points of section, is equal to the square of half the line. 9. Divide a given straight line into two such parts that the rectangle contained... | |
 | Euclides - 1864 - 262 pages
...line be divided into two equal parts, and also into two unequal parts ; the rectangle contained by the unequal parts, together with the square on the line...the straight line AB be divided into two equal parts in the point C, and into two unequal parts in the point D. Then the rectangle AD, DB, together with... | |
 | Euclides - 1864 - 448 pages
...line be divided into two equal parts, and also into two unequal parts ; the rectangle contained by the unequal parts, together with the square on the line...the straight line AB be divided into two equal parts in the point C, and into two unequal parts in the point D. Then the rectangle AD, DB, together with... | |
 | Woolwich roy. military acad - 1864 - 588 pages
...line be divided into two equal parts, and also into two unequal parts; the rectangle contained by the unequal parts together with the square on the line...of section is equal to the square on half the line. Hence show that a square is the greatest rectangle of given perimeter. 11. Describe a circle about... | |
 | Robert Potts - 1865 - 528 pages
...line be divided into two equal parts, and also into two unequal parts ; the rectangle contained by the unequal parts, together with the square on the line...the straight line AB be divided into two equal parts in the point C, and into two unequal parts in the point D. Then the rectangle AD, DB, together with... | |
 | Euclides - 1865 - 402 pages
...two unequal parts ; then the rectangle contained by /he unequal parts, together with the square of the line between the points of section, is equal to the square of half the line. (References— Prop. I. 31, 34, 36, 43, 46; n. 4, Cor.) Let the straight line AB... | |
| |
If a straight line be divided into two equal parts, and also into two unequal parts ; the rectangle contained by the unequal parts, together with the square on the line between the points of section, is equal to the square on half the line. 
