| Isaac Todhunter - Euclid's Elements - 1880 - 400 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
...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
...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
...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 - 1880 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
...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
...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
...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
...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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