 | Northwest Territories Council of Public Instruction - 1897 - 628 σελίδες
...house that it may be equally convenient to each road. 4. (a) Prove that if the side of a triangle be produced, the exterior angle is equal to the sum of the two interior opposite angles, and that the sum of the three interior angles is equal to two right angles. I. 32. (b) From proposition... | |
 | Wooster Woodruff Beman, David Eugene Smith - 1899 - 400 σελίδες
...COROLLARY. If a trianr/le is equiangular, it is also equilateral. (Why?)' PROPOSITION V. 70. Theorem. If any side of a triangle is produced, the exterior angle is greater than either of the interior angles not adjacent to it. AB Given the A ABC, with AB produced... | |
 | Wooster Woodruff Beman, David Eugene Smith - 1899 - 272 σελίδες
...COROLLARY. If a triangle is equiangular, it is also equilateral. (Why ?) s PROPOSITION V. 70. Theorem. If any side of a triangle is produced, the exterior angle is greater than either of the interior angles not adjacent to it. AB Given the A ABC, with AB produced... | |
 | William Whitehead Rupert - 1900 - 148 σελίδες
...this demonstration implies a knowledge of a seventh proposition, — " If one side of a triangle be produced, the exterior angle is equal to the sum of the two interior and opposite angles." Thales must have been familiar with this truth. 2. Below we give a brief and... | |
 | William Kent - 1907 - 1206 σελίδες
...isosceles triangle bisects the base, it bisects the vertical angle and is perpendicular to the base. If one side of a triangle is produced, the exterior angle is equal to the sum of the two interior and opposite angles. If two triangles are mutually equiangular, they are similar and their corresponding... | |
 | William Kent - 1902 - 1204 σελίδες
...isosceles triangle bisects the base, It bisects the vertical angle and is perpendicular to the base. If one side of a triangle is produced, the exterior angle is equal to the Bum of the two interior and opposite angles. If two triangles are mutually equiangular, they are similar... | |
 | James McMahon - 1903 - 382 σελίδες
...angles. Sum of two angles of a triangle. 128. THEOREM 24. When any side of a triangle is extended, the exterior angle is equal to the sum of the two interior opposite angles. Let the side AC of the triangle ABC be extended to E. E To prove that the exterior angle BCE is equal to... | |
 | William Chauvenet - 1905 - 336 σελίδες
...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 as many right... | |
 | Cora Lenore Williams - 1905 - 122 σελίδες
...which does not cut a given straight line however far produced.* SECTION 1. The Straight Line. Theor. G. If any side of a triangle is produced, the exterior angle is greater than either of the interior angles not adjacent to it. Prop. 31. Any two angles of a triangle... | |
 | 1906 - 576 σελίδες
...out work, and the methods of are together equal to two right angles. 5. If one side of a triangle be produced, the exterior angle is equal to the sum of the two interior and opposite angles. RIGHT making angles of different degrees both with compasses and set squares are... | |
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If one side of a triangle is produced, the exterior angle is equal to the sum of the two interior and opposite, angles; and the three interior angles of every triangle are equal to two right angles. 
