 | 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... | |
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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. 
