| Education - 1920 - 928 pages
...rectangle contained by the unequal segments of the whole, together with the square on the straight **line between the points of section, is equal to the square on** the half of the line." Algebraically, this proposition is simply an identity: x(ax) + (a/2-x}t = (a/2)2,... | |
| 1907 - 608 pages
...it make the interior angles upon the same side together equal to two right angles. 3. If a straight **line be divided into two equal parts, and also into...unequal parts ; the rectangle contained by the unequal** (Kirts together with the square of the line between the poiuts of section, is equal to the square of... | |
| University of Calcutta - 1907 - 446 pages
...into two eqnal parts and also into two uncqnnl parts, the rectnngle contained by the unequal purls, **together with the square on the line between the points of section, is** eqnal to the sqnare on half the line. Enunciate the Proposition corresponding to the algebraical formula... | |
| Euclid - Mathematics, Greek - 1908 - 550 pages
...the rectangle contained by the unequal segments of the whole together with the square on the straight **line between the points of section is equal to the square on** the half. For let a straight line AB be cut into equal segments at C and into unequal segments at D... | |
| Trinity College (Dublin, Ireland) - 1909 - 546 pages
...angles of a parallelogram are equal to one another, and the diagonal bisects the area ? 4. If a straight **line be divided into two equal parts, and also into two unequal parts, the** squares of the unequal parts are together double of the square of half the line, and of the square... | |
| Royal Military Academy, Woolwich - Mathematics - 1909 - 444 pages
...the lengths of the perpendiculars from the other two angles on the opposite sides. 3. If a straight **line be divided into two equal parts, and also into two unequal parts,** prove that the rectangle contained by the two unequal parts, together with the square on the line between... | |
| Sir Gooroodass Banerjee - Education - 1910 - 380 pages
...rectangle contained by its equal segments, is equal to the rectangle contained by the unequal segments, **together with the square on the line between the points of section,** it is clear that the rectangle contained by the segments of a line has the maximum value when the segments... | |
| Alberta. Department of Education - Education - 1911 - 226 pages
...of the triangle and is equal to half the base. 8 6. (a) If a straight line be divided into two equal **and also into two unequal parts, the rectangle contained...section, is equal to the square on half the line.** 5— II. 2 (b) Give the algebraic formula for the theorem in (a). 6 7. The rectangle contained by the... | |
| Newfoundland Council of Higher Education - 1911 - 252 pages
...is equal to twice the square on AB together with eight times the triangle ABC. (10) 7. If a straight **line be divided into two equal parts and also into...parts, the rectangle contained by the unequal parts** and the square on the line between the points of section are together equal to the square on half the... | |
| Great Britain. Board of Education - Mathematics - 1912 - 632 pages
...Prove that, if a straight line is 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 on half the line.** Show that, if two adjacent sides of a rectangle are together equal to a given straight line, the rectangle... | |
| |