| 1852
...are opposite to the homologous sides. 3. 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.** SECTION V. — 1. If two lines be drawn bisecting each other, the lines which join their extremities... | |
| Euclides - 1852
...the square can be constructed. PBOP. XLVTI. THEOB. In a right-angled triangle, the square described **upon the side opposite to the right angle is equal to the** squares described upon the sides which contain the right angle. Let ABC be a right-angled triangle,... | |
| Euclid, John Playfair - 1853 - 317 sider
...PROP. XXXI. THEOR. In right angled triangles, the rectilineal figure described upon the side oppo' site **to the right angle, is equal to the similar, and similarly...angled triangle, having the right angle BAC : The** lectilineal figure described upon BC is equal to the similar, and similarly described figures upon... | |
| Royal Military Academy, Woolwich - 1853
...was to be done. PROPOSITION XXXI. THEOB. 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 BAG : the rectilineal figure described upon BC is equal... | |
| Euclides - 1853 - 147 sider
...be done. PROPOSITION XXXI. — THEOREM. In riglit-angled triangles the rectilineal figure described **upon the side opposite to the right angle is equ/al...figures upon the sides containing the right angle. LET** ab С be a right-angled triangle, having the right angle ba (/. The rectilineal figure described upon... | |
| William Somerville Orr - 1854
...XXXI.— THEOREM. In a right angled triangle (ABC) the rectilineal figure described upon the side (BC) **opposite to the right angle, is equal to the similar and similarly** situated figures described upon the sides (AB, AC) containing the right angle. С В .0 * 20 VI. For... | |
| Thomas Lund - 1854 - 192 sider
...their sides are equal. 43. PROP. XXI. In the case of any right-angled triangle the square described **upon the side opposite to the right angle* is equal to the** two squares together described upon the two other sides which form the right, angle. Let ABC be aright-angled... | |
| John Playfair - 1855 - 318 sider
...ratio in C (def. 3. G.). PROP. XXXI. THEOR. In right angled triangles, the rectilineal figure described **upon the side opposite to the right angle, is equal...similarly described figures upon the sides containing the** rig/it angle. Let ABC be a right angled triangle, having the right angle BAC: The rectilineal figure... | |
| Euclides - 1855
...17. (c) VI. Def. 3. 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... | |
| John Playfair - 1856 - 318 sider
...XXXI. THEOR. In right angled triangles, the rectilineal figure described upon the side opposite to ttie **right angle, is equal to the similar, and similarly...angled triangle, having the right angle BAC : The** lectilineal figure described upon BC is equal to the similar, and similarly described figures upon... | |
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