 | Euclides - 1870
...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
...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 - 349 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... | |
 | Euclides - 1874
...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... | |
 | James Hamblin Smith - 1876
...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 - 403 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
...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 - 119 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... | |
 | Edward Atkins - 1877
...TOCtaD|>u ar Proposition 47. — Theorem. Ji% any right-angled triangle, the square which is drscribfA upon the side opposite to the right angle is equal to the squares described upon the sides which contain the right angle. Let ABC Lo a right-angled triangle... | |
 | Euclides - 1878
...XXII. THEOREM. (Eucl. vi. 31.) In right-angled triangles, the rectilinear figure, described upon Ihe side opposite to the right angle, is equal to the...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 BO, be equal... | |
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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. 
