 | Moffatt and Paige - 1883 - 602 pages
...that the parallelograms about the diameter of a square are likewise squares. Proposition V. Theorem. If a straight line be divided into two equal parts...contained by the unequal parts, together with the square on the line between the points oj section, is equal to the square on half the line. Let the straight... | |
 | University of Glasgow - 1883 - 438 pages
...of the triangle but shall contain a greater angle. 3. 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 on the line between the points of section, is equal to the square on half the line. 4. The angle at... | |
 | Euclides, James Hamblin Smith - 1883 - 376 pages
...contained by the segments of the toe, is equal to the square on the perpendicular. PROPOSITION V. THEOREM. If a straight line be divided into two equal parts and also into two unequal parts, the rectanrjle contained by the unequal parts, together with the square on the line between the points... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1883 - 426 pages
...a square. are likewise squares. PROPOSITION 5. THEOREM. unequal parts, together with the square on the line between the points of section, is equal to the square on tuilf the line. Let the straight line AB be divided into two equal parts at the point C, and into... | |
 | 1884 - 266 pages
...angles; and the three interior angles of every triangle'are together equal to two right angles. 3. If a straight line be divided into two equal parts,...points of section, is equal to the square of half the line. 4. A segment of a circle being given, describe the circle of which it is the segment. "5. On... | |
 | Education - 1884 - 708 pages
...AC = BF, and EC = AB = CF. Hence В is the middle point of DF, and С the middle point of EF. QEF 2. If a straight line be divided into two equal parts, and also into two unequal parts, together with the square on the line between the points of section, is equal to the square on half... | |
 | Woolwich roy. military acad - 1884 - 148 pages
...intersect at right angles to one another. 5. If a straight line be divided into two equal and also 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. If of the two unequal... | |
 | Stewart W. and co - 1884 - 272 pages
...unequal parts ; the rectangle contained by tlte unequal parts, together with the square of the Une between the points of section, is equal to the square of half the line. Let AB be divided into two equal parts in the point C, and into two unequal parts in the point... | |
 | Oxford univ, local exams - 1885 - 358 pages
...other, the base of that which has the greater angle shall be greater than the base of the other. 4. If a straight line be divided into two equal parts...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. 5. If a side of... | |
 | United States. Congress. Senate - United States - 1880 - 1302 pages
...and RE, CD are produced until EF=Eli, and <;D=I>C, show that the line (.'/•' pa>-« through A. '¿. If a straight line be divided into two equal parts...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. Prove that the... | |
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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 of the line between the points of section, is equal to the square of half the line. 
