 | Cambridge univ, exam. papers - 1856 - 252 sider
...together greater than the other two. 5. 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. 6. The rectangle contained by the diagonals of a quadrilateral figure inscribed in a circle is equal... | |
 | Euclides - 1858 - 248 sider
...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 - 672 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 - 380 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 - 288 sider
...(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 - 464 sider
...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 - 714 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 - 260 sider
...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,... | |
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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. 
