| 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
...Calculate to seven places' of decimals the logarithms of 2, 3, and 7 to the base 10, given M = -4342945. 1. **In any triangle, the square of the side subtending...squares of the sides containing that angle, by twice the** rectangle contained by either of these sides and the line intercepted between the perpendicular let... | |
| London univ - 1874 - 778 pages
...the squares of AD, BE, and CF, are together equal to three times the square of 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,... | |
| Manchester univ - 1877 - 544 pages
...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 of these sides and... | |
| 1879 - 638 pages
...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 and the portion... | |
| University of St. Andrews - 1900 - 670 pages
...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 these sides, and the... | |
| McGill University - 1868 - 402 pages
...under the whole and each of the parts. 3. The square of the side opposite an acute angle of a triangle **is less than the sum of the squares of the sides containing** it by twice the rectangle under either of them, and the segment of the other contained between the... | |
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