 | Robert Potts - 1868 - 434 pages
...= 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 - Geometry - 1868 - 276 pages
...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 pages
...&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 pages
...Can a 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,...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 pages
...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... | |
 | Schools - 1877 - 604 pages
...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,...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... | |
 | Euclides - 1871 - 136 pages
...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...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... | |
 | Euclides, James Hamblin Smith - Geometry - 1872 - 376 pages
...contained by the segments of the base, is equal to the square on the perpendicular. 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 of lection, is equal to the square on half the line. Let the st. line... | |
 | Euclid, Charles Peter Mason - Geometry - 1872 - 216 pages
...and its parts answer to the description given of them in the enunciation. PBOPOSITION V. If a right line be divided into two equal parts, and also into...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. For the construction... | |
 | Henry Major - Student teachers - 1873 - 588 pages
...diameter of it square, are likewise squares. ,7\ V. — 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. Let AB be divided into two equal parts in the point C, and into two unequal parts in the point D : then... | |
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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. 
