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" AB into two parts, so that the rectangle contained by the whole line and one of the parts, shall be equal to the square on the other part. "
First Steps in Geometry: A Series of Hints for the Solution of Geometrical ... - Page 136
by Richard Anthony Proctor - 1887 - 180 pages
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Report of Her Majesty's Civil Service Commissioners: Together ..., Volume 18

1874 - 748 pages
...differs from the sum of the interior non-adjacent angles by an even number of right angles. 2. Divide a straight line into two parts, so that the squares on the whole line and one of the parts may be together equal to three times the square on the other part. 3. The angle in...
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Parliamentary Papers, Volume 16

Great Britain. Parliament. House of Commons - Great Britain - 1874 - 820 pages
...difiera from the sum of the interior non-adjacent angles by an even number of right angles. 2. Divide a straight line into two parts, so that the squares on the whole line and one of the parts may be together equal to three times the square on the other part. 3. The angle in...
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Elementary Geometry Plane (Classic Reprint)

James McMahon - 2018 - 244 pages
...half and the part produced. Ez. 1 1OO. If a straight line is divided into any two parts, the ram of the squares on the whole line and on one of the parts Is equal to twice the rectangle contained by the whole and that part, together with the square on the...
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The Elements of Plane Geometry

Euclid - 1845 - 336 pages
...that BC2 = CA2 + AB2 + rect. CA . AB. 168. PROP. 4. If a straight line be divided into any two parts, the squares on the whole line and on one of the parts are equal to twice the rectangle contained by the whole line and that part together with the square...
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Calendar

University of St. Andrews - 1891 - 440 pages
...its diagonals AC, BD meet at O. Prove A AOD = A BOG. 3. If a straight line be divided into two parts, the squares on the whole line and on one of the parts are equal to twice the rectangle contained by the whole line and that part together with the square...
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A First Course of Geometry

130 pages
...that BC2 = CA2 + AB2 + rect. CA.AB. 95. PROP. 4. If a straight line be divided into any two parts, the squares on the whole line and on one of the parts are equal to twice the rectangle contained by the whole line and that part together with the square...
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Parliamentary Papers, Volume 30

Great Britain. Parliament. House of Commons - Bills, Legislative - 1853 - 520 pages
...two sides which contain the right angle. Is this proposition included in any more general one? (2.) To divide a given straight line into two parts, so that the rectangle contained by the whole and one of the parts, shall be equal to the square of the other part....
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Educational Review, Volume 31

Nicholas Murray Butler, Frank Pierrepont Graves, William McAndrew - Education - 1906 - 558 pages
...equation has its two roots equal to one another. 9. If a straight line be divided into any two parts, the squares on the whole line and on one of the parts are equal to twice the rectangle contained by the whole and that part, together with the square on...
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Pass school, group A (-D).

Oxford univ, exam. papers, 2nd publ. exam - 1884 - 594 pages
...triangle has the greater angle opposite to it. 9. If a straight line be divided into any two parts, the squares on the whole line, and on one of the parts, are equal to twice the rectangle contained by the whole and that part, together with the square on...
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Report of the examination held (Dec. 1859)-73

Cowley Oxon, dioc. school - 1860 - 318 pages
...double of the square of half the line, and of the square of the line between the points of section. 6. To divide a given straight line into two parts, so that the rectangle contained by the whole and one of the parts ehall be equal to the square of the other part....
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