 | Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...vi.). A ° "B Which was to be done. PROPOSITION XXXI. THEOB. In right-angled triangles, the rectilineal figure described upon the side opposite to the right...figures upon the sides containing the right angle. Let ABC be a right-angled triangle, having the right angle BAG : the rectilineal figure described upon... | |
 | 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...figures upon the sides containing the right angle. Let ABC be a right angled triangle, having the right angle BAC : The lectilineal figure described upon... | |
 | Thomas Lund - Geometry - 1854 - 520 pages
...be equal, 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... | |
 | 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... | |
 | John Playfair - Geometry - 1855 - 334 pages
...extreme and mean ratio in C (def. 3. G.). PROP. XXXI. THEOR. In right angled triangles, the rectilineal figure described upon the side opposite to the right...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
...PROPOSITION XXXI. (6) VI. 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... | |
 | Cambridge univ, exam. papers - 1856 - 252 pages
...four each lines are together greater than the other two. 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. The rectangle contained by the diagonals of a quadrilateral figure inscribed in a circle is equal... | |
 | Euclides - 1858 - 248 pages
...rectilineal 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 angle, is equal to the similar and similarly-described figures upon the sides containing the right angle ;" and to the making of a circle... | |
 | Sandhurst roy. military coll - 1859 - 672 pages
...of a bricklayer. Voluntary Portion. 1. In right-angled triangles the rectilineal figure described on the side opposite to the right angle is equal to the similar and similarly described figures on the sides containing the right angle. 2. Bisect a given triangle by a straight line parallel to... | |
 | Robert Potts - Geometry, Plane - 1860 - 380 pages
...ratio in C. (YI. def. 3.) QEF PROPOSITION XXXI. THEOREM. In right-angled triangles, the rectilineal figure described upon the side opposite to the right...the similar and similarly described figures upon the tides containing the right angle. Let ASC be a right-angled triangle, having the right angle BAC. The... | |
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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... 
