 | Woolwich roy. military acad - 1868 - 426 sider
...given circle. 13. In any right-angled triangle, any rectilineal figure described on the side subtending the right angle is equal to the similar and similarly described figures on the sides containing the right angle. 14. A, B being the centres of two circles which touch internally... | |
 | Euclides - 1870 - 270 sider
...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...figures upon the sides containing the right angle;" and to the making of a circle the double or the half of another circle, by Prop. 2, bk. lit, " that... | |
 | Edinburgh univ - 1871 - 392 sider
...at the base double the third angle. 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. Simplify — (I ) 2a _ * + "' + *' , v "' 3 (a + x) 2(x — a) a*—x* and — x \/a — \Ja —... | |
 | Euclides, James Hamblin Smith - 1872 - 376 sider
...PROPOSITION XXII. THEOREM. (Eucl. vi. 31.) In right'angled triangles, the rectilinear figure, described upon the side opposite to the right angle, is equal...the sides containing the right angle. Let ABC be a right'angled A , having the right L BAC. Then must the rectilinear figure, described on BC, be equal... | |
 | Eli Todd Tappan - 1873 - 288 sider
...hypotenuse of a right angled triangle is equivalent to the sum of the squares described on the two legs. Let ABC be a right angled triangle, having the right angle BAC. The square described on the side BC is equivalent to the sum of the two squares described on BA and AC.... | |
 | Euclides - 1874 - 342 sider
...Def. 3). QEF ROPOSITION 31. — Theorem. In right-angled triangles, the rectilineal figure described upon the side opposite to the right angle, is equal...the sides containing the right angle. Let ABC be a right-angled triangle, having the right angle BAC. Them the rectilineal figure described upon BC shall... | |
 | Euclides, James Hamblin Smith - 1876 - 376 sider
...PROPOSITION XXII. THEOREM. (Eucl. vi. 31.) In right-angled triangles, the rectilinear figure, described upon the side opposite to the right angle, is equal...the similar and similarly described figures upon the sidfs containing the right angle. Let ABC be a right-angled A , having the right L BAC. Then must the... | |
 | Robert Potts - 1876 - 446 sider
...PROPOSITION XXXI. THEOREM. In right-angled triangles, the rectilineal figure described upon the tide opposite to the right angle, is equal to the similar and similarly described Jiijmes upon the sides containing the right angle. Let ABClie a right-angled triangle, having the right... | |
 | Richard Wormell - 1876 - 268 sider
...may be equal to a given space. .. 240 31. 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 angles. . .... | |
 | Edward Atkins - 1876 - 130 sider
...equilateral. 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. CG Is a straight line. JiAH Is a A... | |
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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. 
