 | Charles William Hackley - Geometry - 1847 - 248 pages
...XXVJU. In any obtuse-angled triangle, the square of the side subtending the obtuse angle is greater than the sum of the squares of the other two sides, by twice the rectangle of one of the sides containing the obtuse angle and the distance of the perpendicular drawn from the... | |
 | J. Goodall, W. Hammond - 1848 - 390 pages
...other; the base of that which has the greater angle shall be greater than the base of the other. 3. In every triangle the square of the side subtending either of the acute angles is less than the square of the sides, containing it by twice the rectangle contained by either of these sides, and the... | |
 | Great Britain. Committee on Education - 1848 - 606 pages
...other ; the base of that which has the greater angle shall be greater than the base of the other. 3. In every triangle the square of the side subtending either of the acute angles is less than the square of the sides containing it by twice the rectangle contained by either of these sides, and the... | |
 | Great Britain. Council on Education - Education - 1848 - 596 pages
...other ; the base of that which has the greater angle shall be greater than the base of the other. 3. In every triangle the square of the side subtending either of the acute angles is less than tbe square of the sides containing it by twice the rectangle contained by either of these sides, and... | |
 | Home and colonial school society - 1848 - 412 pages
...following Equations : — " 1- *~3 _ , , x -3 *+2~ +2x-l 9 = 13 2. / x + 48 / : V +V 3. ( x + y = a " In every triangle the square of the side subtending either of the acute * Mr. Moseley adds, with reference to Greek, — angles is less than the squares of the sides containing... | |
 | Charles Davies - Trigonometry - 1849 - 372 pages
...of ABCD. PROPOSITION XII. THEOREM. In every triangle, the square of a side opposite an acute angle is less than the sum of the squares of the other two sides, by twice the rectangle contained by the base and the distance from the acute angle to the foot of the perpendicular let fall from the opposite... | |
 | Her MAjesty' Inspectors of schools - 1850 - 912 pages
...described upon the other two sides of it, the angle contained bj these two sides is a right angle. 3. 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 cither of those sides,... | |
 | 1850 - 400 pages
...with the square of the line between the points of section, is equal to the square of half the line. 3. 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 those sides,... | |
 | George Roberts Perkins - Geometry - 1850 - 332 pages
...THEOREM. In any obtuse-angled triangle, the square of the side subtending the obtuse angle is greater than the sum of the squares of the other two sides, by twice the rectangle of the base and the distance of the perpendicular from the obtuse angle. Let ABC be a triangle, obtuseangled... | |
 | Janet Taylor - Nautical astronomy - 1851 - 674 pages
...12.] In any obtuse angled triangle, the square of the side subtending the obtiiKe angle, is greater than the sum of the squares of the other two sides, by twice the rectangle of the base, and the distance of the perpendicular from the obtuse angle. Let ABC be a right angled... | |
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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 acute... 
