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" In every triangle, the square of the side subtending any 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... "
The figures of Euclid with the enunciations, as printed in Euclid's Elements ... - Page 29
by Euclides - 1840
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Annual Report of the Commissioners ..., Volume 71

1905 - 614 pages
...side subtending the obtuse angle exceeds the sum of the squares on the sides containing the obtuse angle by twice the rectangle contained by either of those sides and its continuation to meet a perpendicular on it from the opposite angle. 5. If two triangles have two...
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Calendar, Part 3

University of Calcutta - 1912 - 746 pages
...triangle, the square on the side subtending an acute 8 angle is less than the sum of the squares on the sides containing that angle by twice the rectangle contained by either of these sides nnd the projection on it of the other. ABC is a triangle and D is the middle point of AB....
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The Calendar

University of South Africa - Universities and colleges - 1913 - 768 pages
...every triangle, the square on the side subtending an acute angle is less than the sum of the squares on the sides containing that angle, by twice the rectangle contained by either of these sides, and the straight line intercepted between the perpendicular let fall on it from the opposite...
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The Dublin University Calendar, Volume 1

Trinity College (Dublin, Ireland) - 1917 - 560 pages
...the square of a side subtending an acute angle is less than the sum of the squares of the other sides by twice the rectangle contained by either of those sides, and the straight line intercepted between the acute angle and the perpendicular drawn to that side from the...
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Parliamentary Papers, Volume 23

Great Britain. Parliament. House of Commons - Great Britain - 1872 - 912 pages
...logarithms of 2, 3, and 7 to the base 10, given M = -4342945. 1. In any triangle, the square of the side subtending an acute angle is less than the sum...angle, by twice the rectangle contained by either of these sides and the line intercepted between the perpendicular let fall on it from the opposite angle...
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Minutes of the Committee of Council on Education

Great Britain. Committee on Education - School buildings - 1851 - 1054 pages
...angle. 4. In 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...rectangle contained by either of those sides, and the straight line intercepted between the acute angle and the perpendicular let fall upon it from the opposite...
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The London University Calendar

London univ - 1874 - 778 pages
...the hypothcnuse. (>. In any triangle the square of the side subtending an acute angle 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 acute angle and the perpendicular let fall...
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Parliamentary Papers, Volume 17

Great Britain. Parliament. House of Commons - Bills, Legislative - 1871 - 902 pages
...acute-angled triangle, 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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Report of Her Majesty's Civil Service Commissioners: Together ..., Volumes 15-16

1870 - 964 pages
...acute-angled triangle, 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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Parliamentary Papers, Volume 19

Great Britain. Parliament. House of Commons - Bills, Legislative - 1861 - 588 pages
...6. In every acute-angled triangle the square of the side subtending any of the angles is less than the squares of the sides containing that angle by twice the rectangle contained by cither of these sides and the straight line intercepted between the perpendicular let fall upon it...
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