| Euclides - 1858
...Prop. 31, bk. vi., where it is proved "that in right-angled triangles, the rectilineal figure described **upon the side opposite to the right angle, is equal to the similar and** similarly-described figures upon the sides containing the right angle ;" and to the making of a circle... | |
| Sandhurst roy. military coll - 1859 - 1869 sider
...of a bricklayer. Voluntary Portion. 1. In right-angled triangles the rectilineal figure described on **the side opposite to the right angle is equal to the similar and similarly described figures** on the sides containing the right angle. 2. Bisect a given triangle by a straight line parallel to... | |
| Robert Potts - 1860 - 361 sider
...def. 3.) QEF PROPOSITION XXXI. THEOREM. In right-angled triangles, the rectilineal figure described **upon the side opposite to the right angle, is equal...the similar and similarly described figures upon the** tides containing the right angle. Let ASC be a right-angled triangle, having the right angle BAC. The... | |
| Eucleides - 1860 - 396 sider
...PROPOSITION XXXI. THEOREM. — If a triangle (ABC) be right-angled, the rectilineal figure described **upon the side opposite to the right angle, is equal to the similar and** similarly-described figures upon the sides containing the right angle. DEMONSTRATION. Draw the perpendicular... | |
| Euclides - 1860
...(II. Def. 6). PROPOSITION XXXI. THEOBEM. In right-angled triangles, the rectilineal figure described **upon the side opposite to the right angle is equal to the** sum of the similar and similarly described figures upon the sides containing the right angle. Given... | |
| Euclides - 1861
...side. PROP. 31. — THEOR. (Important.) In right angled triangles, the rectilineal figure described **upon the side opposite to the right angle, is equal...figures upon the sides containing the right angle.** CON. 12, I. To draw a st. line J_ a given st. line from a given . without it. DEM. 8, VI. 4, VI. Cor.... | |
| War office - 1861 - 12 sider
...root of 9042049. Voluntary Portion: 2. In right-angled triangles the rectilineal figure described on **the side opposite to the right angle is equal to the similar and similarly described figures** on the sides containing the right angle. 3. Employ logarithms (1) to multiply ^OS6 by 39'86427. (2)... | |
| War office - 1861
...circle are equal to one another. 4. In a right-angled triangle, the rectilineal figure described on **the side opposite to the right angle is equal to the similar and similarly described figures** on the sides containing the right angle. 6. The base of a pyramid is a square, each side of which is... | |
| Euclides - 1862 - 140 sider
...right angles. PROPOSITION 47.— THEOREM. In any right-angled triangle, the square which is described **upon the side opposite to the right angle, is equal to the** squares described upon the sides which contain the right angle. (References— Prop. I. 4, 14, 31,... | |
| Euclides - 1864 - 448 sider
...def. 3.) QEF PROPOSITION XXXI. THEOREM. In right-angled triangles, the rectilineal figure described **upon the side opposite to the right angle, is equal to the similar and** similarlg described figures upon the sides containing the right angle. Let ABC\ie a right-angled triangle,... | |
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