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In every triangle, the square of the side subtending either of the acute angles is less than the squares of the sides containing that angle, by twice the rectangle contained by either of these sides, and the straight line intercepted between the perpendicular...
Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ... - Page xv
by Robert Potts - 1876 - 403 pages
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## Parliamentary Papers, Volume 19

Great Britain. Parliament. House of Commons - Bills, Legislative - 1861 - 588 pages
...side subtending any of the acute angles its less than the squares of the sides containing that nngle, by twice the rectangle contained by either of these...sides, and the straight line intercepted between the acute angle and t\\e perpendicular let fall upon it from the opposite angle. 6. If two opposite sides...
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## Calendar

University of St. Andrews - 1900 - 670 pages
...<.u 4. -fa c it a 8. Prove that, rf^g, then j where all the quantities are positive. 9. Prove that in every triangle the square on the side subtending an acute angle is less than the sum of the squares on the aides containing that angle by twice the rectangle contained by either of...
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## Examinations Papers

1879 - 638 pages
...twice the rectangle AC, BCis less than the sum of the squares on AC,BC\ty the square on AB. 8. In any triangle the square on the side subtending an acute angle is less than the sum of the squares on the sides containing it by twice the rectangle contained by either of these sides...
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## Cambridge Intermediate Mathematics, Part 2

Herbert James Larcombe - 1928 - 272 pages
...obtuse-angled triangle the square on the side opposite to the obtuse angle is greater than the sum of the squares on the sides containing that angle by twice the rectangle contained by one of those sides and the projection of the other upon it. 115. (b) When the angle C is acute. AA...
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## Calendar

University of St. Andrews - 1891 - 440 pages
...vertex. 11. In every triangle the square on a side opposite an acute angle is less than the sum of the squares on the sides containing that angle by twice the rectangle contained by one of these sides and the projection upon it of the other. The sum of the squares on the diagonals...
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## The Calendar of Owens college, Manchester

Manchester univ - 1877 - 544 pages
...point of section, and DA produced to F, show that DH produced will cut BF at right angles. 8. In any triangle the square on the side subtending an acute angle is less than the sum of the squares on the sides containing the acute angle by twice the rectangle contained by one...
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## Report of Her Majesty's Civil Service Commissioners: Together ..., Volumes 15-16

1870 - 964 pages
...show that the square of the side subtending either of the acute angles is less than the squares of the sides containing that angle by twice the rectangle contained by either of the sides and the straight line intercepted between the acute angle and the perpendicular let "all...
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## The Bombay University Calendar, Volume 2

University of Bombay - 1906 - 340 pages
...the diameter ; shew that the squares on these lines are together double the square on the radius. 4. In every triangle the square on the side subtending an acute angle is 16 less than the squares on the sides containing that angle, by twice the rectangle contained by either...
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## Minutes of the Committee of Council on Education

Great Britain. Committee on Education - School buildings - 1851 - 1054 pages
...every triangle the square of the side subtending cither of the acute angles is less than the squares of the sides containing that angle by twice the rectangle contained by either of those sides, and the straight line intercepted between the acute angle and the perpendicular let fall...
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## Parliamentary Papers, Volume 17

Great Britain. Parliament. House of Commons - Bills, Legislative - 1871 - 914 pages
...show that the square of the side subtending either of the acute angles is less than the squares of the sides containing that angle by twice the rectangle contained by either of the sides and the straight line intercepted between the acute angle and the perpendicular let fall...
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