| 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, James Hamblin Smith - 1878 - 349 sider
...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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