 | Education, Higher - 1882 - 498 pages
...parallelogram are together equal to the squares of the four sides. 12. If a side of a triangle be produced the exterior angle is equal to the two interior, opposite...and the three interior angles of every triangle are together equal to two right angles. After proving the above enunciate and prove three corollaries to... | |
 | Herbert Spencer - Psychology - 1882 - 722 pages
...Therefore if a side of any triangle be produced, the exterior angle is equal to the two interior and opposite angles ; and the three interior angles of every triangle are equal to two right angles. QED" Thus in each step by which the special conclusion is reached, as well as in the step taken from... | |
 | Mary W I. Shilleto - 1882 - 418 pages
...BAG. 2. If a side of any triangle be produced, the exterior angle is equal to the two interior and opposite angles ; and the three interior angles of every triangle are equal to two right angles. Enunciate and prove the corollaries to this proposition. Trisect a right angle. 3. If a straight line... | |
 | 1882 - 376 pages
...of the base are equal. Prove this, if you so prefer, by the method of superposition. 2. Prove that the three interior angles of every triangle are equal to two right angles; and that all the interior angles of any rectilineal n'gure, together with four right angles, are equal... | |
 | Mathematical association - 1883 - 86 pages
...the interior angles on the same side supplementary. THEOR. 25. If a side of a triangle is produced, the exterior angle is equal to the two interior opposite angles; and the three interior angles of a triangle are together equal to two right angles. COR. In a right-angled triangle the two acute angles... | |
 | Association for the improvement of geometrical teaching - Geometry, Modern - 1884 - 150 pages
...far produced, therefore AB and CD are parallel. QED THEOR. 25. If a side of a triangle is produced, the exterior angle is equal to the two interior opposite angles; and the three interior angles of a triangle are together equal to two right angles. Let the side BC of the triangle ABC be produced... | |
 | Mathematical association - 1884 - 146 pages
...produced, therefore AB and CD are parallel. Q.ED.' THEOB. 25. If a side of a triangle is produced, the exterior angle is equal to the two interior opposite angles; and the three interior angles of a triangle are together equal to two right angles. Let the side BC of the triangle ABC be produced... | |
 | Stewart W. and co - 1884 - 272 pages
...XXXII. — If a side of any triangle be produced, tht exterior angle is equal to the two interior and opposite angles; and the three interior angles of every triangle are equal to two right angles. Let ABC be a triangle, and let one of its sides BC be produced to D ; the exterior angle ACD is equal... | |
 | University of Cambridge - 1884 - 624 pages
...third side. 3. If a side of a triangle be produced, the exterior angle is equal to the two interior and opposite angles; and the three interior angles of every triangle are equal to two right angles. 4. If the square described on one of the sides of a triangle be equal to the squares described on the... | |
 | Canada. Department of the Interior - 1888 - 756 pages
...one side of a triangle is produced, the exterior angle is equal to the Bum of the two interior and opposite angles ; and the three interior angles of every triangle are equal to two right angles. 7. Describe a square that shall be equal to a given parallelogram or to a given triangle. 8. From a... | |
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If a side of any triangle be produced, the exterior angle is equal to the two interior and opposite angles ; and the three interior angles of every triangle are equal to two right angles. 
