| James A. Christie - 1865 - 454 pages
...Solidity -H Diam.2 -=- -7854 THE EIGHT-ANGLED TRIANGLE. 4 " In any right-angled triangle, the square described upon the side opposite to the right angle is equal to the sum of the two squares described upon the sides containing the right angle." Euclid. Book I. Prop.... | |
| General Medical Council (Great Britain) - 1866 - 496 pages
...to a given rectilineal figure. 4. In right-angled triangles, the rectilineal figure described iipon the side opposite to the right angle is equal to the...figures upon the sides containing the right angle. 5. Demonstrate the rule by means of which the sine of the sum of two angles is expressed in terms of... | |
| Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...31. THEOREM. 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. Let ABC be a right-angled triangle, having the right angle... | |
| Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 424 pages
...31. THEOREM. In any right-angled triangle, any rectilineal fig are described on the side subtending the right angle is equal to the similar and similarly described figures on the sides containing the right angle. Let ABC be a right-angled triangle, having the right angle... | |
| Robert Potts - 1868 - 434 pages
...ratio in C. (VI. def. 3.) QEF PROPOSITION XXXI. THEOREM. In rigIit-angled triangles, the rectilineal figure described upon the side opposite to the right...figures upon the sides containing the right angle, Let ABC \>ea right-angled triangle, having the right angle BAC. The rectilineal figure described upon... | |
| Euclid - 1868 - 138 pages
...ilSiai, roíc Ó/ÍOÍOIE TÍ Kai ó/toiftig U1'ity(i«I/iO/iíí'oii;. In right-angled triangles the figure described upon the side opposite to the right...angle is equal to the similar and similarly described fyures upon the sides containing the right angle. Statement. — Let ABC be a right-angled triangle,... | |
| Woolwich roy. military acad - 1868 - 426 pages
...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 pages
...figures, by Prop. 31, bk. vi., where it is proved " that in right-angled triangles, the rectilineal figure described upon the side opposite to the right...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 pages
...each of the angles at the base double the third angle. 5. In right angled triangles, the rectilineal figure described upon the side opposite to the right...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 - Geometry - 1872 - 376 pages
...proved for triangles. VI. 19 Cor. PROPOSITION XXII. THEOREM. (Eucl. vi. 31.) In right'angled triangles, the rectilinear figure, described upon the side opposite...figures upon 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... | |
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