 | Isaac Todhunter - Euclid's Elements - 1880 - 426 pages
...QEJ?. PROPOSITION 32. THEOREM. If a, side of any triangle lie produced, the exterior angle is equal to the two interior and opposite angles ; and the three interior angles of every triangle ar^ together equal to two right angles. Let ABC be a triangle, and-Jet oneof its sides BC be produced... | |
 | Frank Russell Firth - 1880 - 536 pages
...base, It bisects the vertical angle. And is perpendicular to the base. 1 5 6 I., XXV., Cor. 6.. IV XX If one side of a triangle is produced, The exterior angle is equal t,ˇ the sum of the two interior and opposite angles. If two triangles are mutually equiangular, They... | |
 | Elizabethan club - 1880 - 156 pages
...Show how to do this practically with a ruler and a pair of compasses. 3. If a side of a triangle be produced the exterior angle is equal to the sum of the two interior angles, and the three interior angles of every triangle are together equal to two right angles. Enunciate... | |
 | Herbert Spencer - 1881 - 756 pages
...one in Proposition xxxii. " If the 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 together equal to two right angles. " Let ABC be a triangle, and let one of its sides BC be produced... | |
 | John Gibson - 1881 - 302 pages
...third angle of the other. 4. 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 together equal to two right angles. 5. Describe a parallelogram that shall be equal to a given triangle... | |
 | Moffatt and Paige - 1881 - 176 pages
...operations, such as - , +, x .] 1. 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 ev«*y triangle are together equal to two right angles. The base angle of an isosceles triangle is... | |
 | Education, Higher - 1884 - 538 pages
...and the same straight line. 3. 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 any triangle are together equal to two right angles. 4. If the straight lines bisecting the angles... | |
 | 1883 - 248 pages
...drawn across makes with the two parallel straight lines. 4. Prove that, if one side of a triangle be produced, the exterior angle is equal to the sum of the two interior and opposite angles, and that the three angles of every triangle are together equal to two right angles. The angles ABC, -AC... | |
 | Education - 1882 - 676 pages
...operation are not admissible.] 1. If a side of any triangle be produced, the exterior ancle is equal to the two interior and opposite angles, and the three interior angles of every triangle are together equal to two right angles. In a right-angled triangle, the angle contained by the line bisecting... | |
 | Marianne Nops - 1882 - 278 pages
...PROPOSITION XXXII., THEOREM 22. 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 together equal to two right angles. Let ABC be a A, and let one of its sides BC be produced toD. (1)... | |
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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 together equal to two right angles. 
