 | Henry Major - 1876 - 784 pages
...together equal to the square on the radius. 3. In every triangle, the square on the side subtending either of the acute angles is less than the squares on the...sides, and the straight line intercepted between the acute angle and the perpendicular let fall upon it from the opposite angle. -, «• r, 1. Simplify... | |
 | Edward Atkins - 1876 - 130 pages
...QED Proposition 13. — Theorem. In every triangle, the square on the side subtending an acute angle is less than the squares on the sides containing that...line intercepted between the perpendicular let fall on it from the opposite angle and the acute angle. Let ABC be any triangle, and the angle at B an acuteangle... | |
 | 1876 - 586 pages
...original parallelogram. ' ' 3. In every triangle, the square on the side subtending an acute angle is less than the squares on the sides containing that...line intercepted between the perpendicular let fall on it from the opposite angle, and the acute angle. — To be proved for acute-angled triangles only.... | |
 | Robert Potts - Geometry - 1876 - 446 pages
...triangles, &c. Q, ED PROPOSITION XIIL THEOREM. In every tnang'.e, the square on the side subtending either of the acute angles, is less than the squares on the sides containing that angle, by tvtiet the rectangle contained by either of these sides, and the straight line intere cepted between... | |
 | Education Department,London - 1876 - 1010 pages
...equal. 3. In any obtuse angled triangle the square on the side subtending an acute ¡ingle is It-is than the squares on the sides containing that angle by twice the rectangle contained by cither of those sides and the straight line intercepted between the perpendicular let fall on it from... | |
 | D. Tierney - 1877 - 126 pages
...equal to the square on half the line. 5. In every triangle, the square on the side subtending either of the acute angles, is less than the squares on the...sides, and the straight line intercepted between the acute angle and the perpendicular let fall upon it from the opposite angle. (Prove this for the case... | |
 | Great Britain. Education Department. Department of Science and Art - 1877 - 562 pages
...wherever the point be taken. (15). 28. In any triangle, the square on the side subtending an acute angle is less than the squares on the sides containing that...angle by twice the rectangle contained by either of those sides and the straight line intercepted between the perpendicular let fall on it from the opposite... | |
 | Samuel H. Winter - 1877 - 452 pages
...other. 11. In a triangle in which one angle is obtuse, the square on a side subtending an acute angle is less than the squares on the sides containing that...angle, by twice the rectangle contained by either of those sides and the straight line intercepted between the perpendicular let fall on it from the opposite... | |
 | Āryabhaṭa - 1878 - 100 pages
...the side subtending either of the acute angles, is less than the squares of the sides contain' ing that angle, by twice the rectangle contained by either...sides, and the straight line intercepted between the acute angle and the perpendicular drawn to it from the opposite angle. Let BCD be a triangle (above... | |
 | 1878 - 632 pages
...the side subtending either of the acute angles, is less than the squares of the sides containing tlmt angle, by twice the rectangle contained by either...sides, and the straight line intercepted between the acute angle and the perpendicular let fall upon it from the opposite angle. 3. In equal circles, equal... | |
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In every triangle, the square on the side subtending either of the acute angles, is less than 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 acute... 
