 | Euclides - 1852 - 48 pages
...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 - Geometry - 1853 - 336 pages
...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 - Mathematics - 1853 - 400 pages
...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 - Geometry - 1853 - 176 pages
...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 - Science - 1854 - 534 pages
...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 - Geometry - 1854 - 520 pages
...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 - Geometry - 1855 - 334 pages
...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 - 230 pages
...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 - Euclid's Elements - 1856 - 346 pages
...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... | |
 | Cambridge univ, exam. papers - 1856 - 252 pages
...together greater than the other two. 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. The rectangle contained by the diagonals of a quadrilateral figure inscribed in a circle is 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. 
