 | 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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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. 
