| Euclides - 1860 - 288 pages
...PROPOSITION V. THEOREM. -;I| 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. Given the straight... | |
| Robert Potts - Geometry, Plane - 1860 - 380 pages
...squares. PROPOSITION V. THEOREM. If a straight line be divided into two equal parts, and also into tteo **unequal parts ; the rectangle contained by the unequal parts, together with the square** on the line between the points of section, it equal to the square on half the line, Let the straight... | |
| Horatio Nelson Robinson - Geometry - 1860 - 472 pages
...be divided into two equal parts, and also into two unequal parts, the rectangle contained by the two **unequal parts together with the square of the line between the points of** division, will be equivalent to the square on one half the line. Let AB be a line bisected in C, and... | |
| War office - 1861 - 260 pages
...parallels are equal to one another. 2. If a straight line be divided into two equal and also into two **unequal parts, the rectangle contained by the unequal...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 segment of a circle... | |
| Alexander Hadden Hutchinson - Military art and science - 1861 - 128 pages
...sides which contain the right angle. 2. If a straight line be divided into two equal and 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.... | |
| Euclides - 1862 - 172 pages
...THEOREM. //' a straight line be divided into two equal parts, and also into two unequal parts ; then **the rectangle contained by the unequal parts, together...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 be divided into two... | |
| Euclides - 1862 - 140 pages
...squares. PROPOSITION 5.— THEOREM. 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, ^s equal to the square on half the line. (References—... | |
| University of Oxford - Education, Higher - 1863 - 328 pages
...a given rectilineal angle. 7. 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. 8. If a straight... | |
| Euclides - 1864 - 448 pages
...squares. PROPOSITION V. THEOREM. 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. Let the straight... | |
| Woolwich roy. military acad - 1864 - 588 pages
...shall never stand together 1 10. 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. Hence show that... | |
| |