 ... 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 angle, and the acute angle.  Elements of Geometry: Plane and Solid - Page 178by John Macnie - 1895 - 374 pagesFull view - About this book
 | 1905 - 946 pages
...that segment, together with the square on the other segment. Prove. 6. In any triangle, the square on a side subtending an acute angle is less than the sum of the squares on the other sides, by twice the rectangle contained by either of those sides, and the straight line... | |
 | 1907 - 608 pages
...solutions will not be accepted. Mr. Ross, Senior Inspector. Mr. CHAMBERS, Senior Inspector. SUCTION A. 1. In any triangle, the square of a side subtending an acute angle, is less than the squares of the other sides, by twice the rectangle contained by either of those sides, and the straight... | |
 | Trinity College (Dublin, Ireland) - 1911 - 614 pages
...and between the same parallels are equal in area. 2. Prove that the square of a side of a triangle subtending an acute angle is less than the sum of the squares of the sides containing the angle by twice a certain rectangle. 3. Prove that chords nearer to the centre... | |
 | Alberta. Department of Education - Education - 1912 - 244 pages
...6 — II. 3 (b) Express the theorem in (o) algebraically. 9 10. In every 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 either of these sides,... | |
 | University of South Africa - Universities and colleges - 1913 - 768 pages
...— b)a — a.. — 2 ah + bi. 14) 0z _ bz = (a -fb) (a — b). 1n 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... | |
 | Trinity College (Dublin, Ireland) - 1917 - 560 pages
...shall be equal to that of a given triangle, and have an angle equal to a given angle. 4. Prove that in any triangle the square of a side subtending an...sides by twice the rectangle contained by either of those sides, and the straight line intercepted between the acute angle and the perpendicular drawn... | |
 | I.M. Gelfand, Mark Saul - Mathematics - 2001 - 244 pages
...generalizes the Pythagorean theorem is by showing that the square of a side of a triangle opposite an acute angle is less than the sum of the squares of the other two sides. What if we take the side of a triangle opposite an obtuse angle? Exercise Show that... | |
 | 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 of the squares of the sides containing that angle, by twice the rectangle contained by either of these sides and the line... | |
 | University of Bombay - 1906 - 340 pages
...triangle the square on a side subtending any 11 acute angle, is lees than the sum of the squares on the other sides, by twice the rectangle contained by either of these sides, and the part of the side intercepted between the perpendicular let fall on it from the opposite angle and the... | |
 | 1879 - 636 pages
...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 and the portion... | |
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