 In an obtuse-angled triangle the square on the side opposite the obtuse angle is greater than the sum of the squares on the other two sides by twice the rectangle contained by either side and the projection on it of the other side.  Elements of Geometry - Page 146by Simon Newcomb - 1881 - 399 pagesFull view - About this book
 | Alexander H. McDougall - Geometry - 1910 - 316 pages
...cm., 6 = 7 cm., c = 10 cm. Draw the A and measure the projection of AB on BC. (Ans. 76 mm.) THEOREM 15 In an obtuse-angled triangle, the square on the side opposite the obtuse angle equals the sum of the squares on the sides that contain the obtuse angle increased by twice the rectangle... | |
 | Great Britain. Board of Education - Mathematics - 1912 - 632 pages
...parallelogram are equal to one another. 5. Prove that the square on a side of a triangle opposite to an obtuse angle is greater than the sum of the squares...other two sides by twice the rectangle contained by one of these two sides and the projection on it of the other. 6. Prove that the opposite angles of... | |
 | Great Britain. Board of Education - Education - 1912 - 1044 pages
...are equal to one another. 5. Prove that the square on a side of a triangle opposite to an obtuseangle is greater than the sum of the squares on the other two sides by twice the rectangle contained by one of these two sides and the projection on it of the other. 6. Prove that the opposite angles of... | |
 | University of South Africa - Universities and colleges - 1913 - 768 pages
...drawn from either of the acute angles to the opposite side produced, the square on the side subtending the obtuse angle is greater than the sum of the squares on the sides containing the obtuse angle, by twice the rectangle contained by the side on which, when produced,... | |
 | Newfoundland Council of Higher Education - 1915 - 232 pages
...triangle whose sides are respectively equal to AE, EB, BC is a right-angled triangle. (14) 7. Prove that in an obtuse-angled triangle the square on the side...angle is greater than the sum of the squares on the sides containing the ohtuse angle, by twice either of two rectangles. (6) 8. Prove that when two circles... | |
 | Trinity College (Dublin, Ireland) - 1915 - 562 pages
...the triangle is right-angled. '3. Prove that the square on the side of a triangle which subtends an obtuse angle is greater than the sum of the squares on the sides containing the obtuse angle by twice a certain rectangle. 4. Prove that equal chords in a circle... | |
 | United States. Office of Education - Agricultural colleges - 1917 - 1336 pages
...parallelogram are equal to one another. 5. Prove that the square on a side of a triangle opposite to an obtuse angle is greater than the sum of the squares...other two sides by twice the rectangle contained by one of these two sides and the projection on it of the other. 6. Prove that the opposite angles of... | |
 | Alexander Caswell Ellis - Education - 1917 - 1098 pages
...parallelogram are equal to one another. 5. Prove that the square on a side of a triangle opposite to an obtuse angle is greater than the sum of the squares...other two sides by twice the rectangle contained by one of these two sides and the projection on it of the other. 6. Prove that the opposite angles of... | |
 | Trinity College (Dublin, Ireland) - 1917 - 560 pages
...triangle 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... | |
 | United States. Office of Education - 1918 - 1128 pages
...parallelogram are equal to one another. 5. Prove that the square on a side of a triangle opposite to an obtuse angle is greater than the sum of the squares...other two sides by twice the rectangle contained by one of these two sides and the projection on it of the other. 6. Prove that the opposite angles of... | |
| |
