 | Robert Potts - 1868 - 434 sider
...= a' — m*, to each of these equals add m* ; .'. (a + m) (a — m) + m' = a*. That is, if a number be divided into two equal parts, and also into two unequal parts, the product of the unequal parts together with the square of half their difference, is equal to the square... | |
 | Horatio Nelson Robinson - 1868 - 276 sider
...be divided into two equal parts, and aha 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 (7, and... | |
 | Euclides - 1870 - 270 sider
...&c. Psts. 2 and 3 ; 3. I. 10. I. To bisect a given finite st. line. Pst. 1. DEM. — 5. II. If a st. line be divided into two equal parts, and also into...rectangle contained by the unequal parts together with the squai e of the line between the points of section, equals the square of half the line. Def. 15 and... | |
 | Civil service - 1871 - 264 sider
...rectangle always be described on a given straight line equal to a given rectilineal figure ? 4. If a straight line be divided into two equal parts, and...section, is equal to the square of half the line. 5. Draw a straight line to touch a given circle from a given point without it. Algebra. 1. Show, by... | |
 | Edinburgh univ - 1871 - 392 sider
...of the other. A complete demonstration is required. 4. If a straight line be divided into two equal, and also into two unequal parts, the rectangle contained...section, is equal to the square of half the line. Prove this also algebraically. 3. Prove Prop. 47, introducing in addition a variation in which one... | |
 | Euclides - 1871 - 136 sider
...rectangle, contained by the segments of the base, is equal to the square on the perpendicular. SE 6 If a straight line be divided into two equal parts and...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. JD K. S. Let the... | |
 | 1877 - 604 sider
...line into two parts, so that the square on one part shall be double of the square on the other. 2. If a straight line be divided into two equal parts, and...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. Algebra. a'ly'z... | |
 | Moffatt and Paige - 1879 - 378 sider
...area of a triangle whose altitude is (a) units long, and whose base is (5) units long, is £ ab ? If a straight line be divided into two equal parts, and...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. By the 41st proposition... | |
 | Edward Harri Mathews - 1879 - 94 sider
...angle is equal to the square described on the sides which contain the right angle. Section IV. 1. If a straight line be divided into two equal parts and...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. Construct a rectangle... | |
 | University of Oxford - 1879 - 414 sider
...other angles shall be equal, each to each, namely those to which the equal sides are opposite. 3. If a straight line be divided into two equal parts and...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 diameter... | |
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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. 
