 | Civil service - 1871 - 264 pages
...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 also into two unequal...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... | |
 | Euclides - 1871 - 136 pages
...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 also into two unequal...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... | |
 | Schools - 1877 - 604 pages
...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 also into two unequal...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, James Hamblin Smith - Geometry - 1872 - 376 pages
...the base, 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...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
...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 two unequal...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... | |
 | J T. Amner - 1878 - 226 pages
...the squares described on the sides which contain the right angle. Section 4. 1. If a straight line be divided into two equal parts and also into two unequal...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... | |
 | Civil service - 1878 - 228 pages
...of opposite sides will trisect the other diagonal. 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. Find the greatest... | |
 | W J. Dickinson - Geometry - 1879 - 44 pages
...the squares on AC, CB together are least when C is the middle point of AB. 5. If a straight line be divided into two equal parts, and also into two unequal...section, is equal to the square of half the line. The difference between the squares on any two straight lines is equal to the rectangle contained by... | |
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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. 
