 | Euclides - 1884 - 214 pages
...direction. PROPOSITION XXXIL THEOREM. 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. In the triangle ABC ; GIVEN that BC is produced to D ; IT is REQUIRED... | |
 | 1884 - 266 pages
...Postulate, (2) an Axiom ? 2. If any 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 together equal to two right angles. 3. If a straight line be divided into two equal parts,... | |
 | Mathematical association - 1884 - 146 pages
...AB and CD do not meet however far 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... | |
 | Association for the improvement of geometrical teaching - Geometry, Modern - 1884 - 150 pages
...therefore AB and CD do not meet however 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... | |
 | Illinois State Board of Health - Public health - 1885 - 692 pages
...either two right angles, or are together equal to two right angles. Draw diagram and demónstrate. 8. If one side of a triangle Is produced, the exterior...angle Is equal to the sum of the two interior and remote angles; and the sum of the three interior angles of every triangle is equal to two right angles.... | |
 | 1885 - 696 pages
...either two right angles, or are together equal to two right angles. Draw diagram and demonstrate. 8. If one side of a triangle is produced, the exterior...angle is equal to the sum of the two interior and remote angles; and the sum of the three interior angles of every triangle is equal to two right angles.... | |
 | 1885 - 608 pages
...than that opposite the second. 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 together equal to two right angles. 3. If a parallelogram and a triangle be upon the same base and... | |
 | Oxford univ, local exams - 1885 - 358 pages
...distant from the centre ? 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 together equal to two right angles. Enunciate and prove the corollaries of this proposition. 3. If... | |
 | William Chauvenet, William Elwood Byerly - Geometry - 1887 - 332 pages
...angles of any triangle is equal to two right angles. Corollary. If one side of a triangle is extended, the exterior angle is equal to the sum of the two interior opposite angles. PROPOSITION XXVII. The sum of all the angles of any convex polygon is equal to twice... | |
 | William Chauvenet, William Elwood Byerly - Geometry - 1887 - 331 pages
...angles of any triangle is equal to two right angles. Corollary. If one side of a triangle is extended, the exterior angle is equal to the sum of the two interior opposite angles. PROPOSITION XXVII. The sum of all the angles of any polygon is equal to twice as many... | |
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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. 
