 | James Howard Gore - Geometry - 1898 - 232 pages
...angles. / A + Z £ + Z J3CM = 2 right angles. QED 80. COR. 1. Equation (a) when expressed in words is : the exterior angle of a triangle is equal to the sum of the two interior and opposite angles. 81. COR. 2. If two angles of a triangle are given, or merely... | |
 | William James Milne - Geometry, Modern - 1899 - 258 pages
...acute angle of one are equal to a side and an acute angle of the ot^er, each to each. 115. Cor. V. Any exterior angle of a triangle is equal to the sum of the two opposite interior angles. 1. What interior angle is equal to Z t' ? Why ? 2. What interior angle is equal to Z s' ? Why ? 3.... | |
 | George Albert Wentworth - Geometry, Modern - 1899 - 272 pages
...7. In an equiangular triangle, each angle is one third of two right angles, or 60°. 137. COR. 8. An exterior angle of a triangle is equal to the sum of the two opposite interior angles, and therefore greater than either of them. PROPOSITION XIX. THEOREM. 138. Tlie sum of two sides of... | |
 | George Albert Wentworth - Geometry - 1899 - 500 pages
...7. In an equiangular triangle, each angle is one third of two right angles, or 60°. 137. COR. 8. An exterior angle of a triangle is equal to the sum of the two opposite interior angles, and therefore greater than either of them. PROPOSITION XIX. THEOREM. 138. The sum of two sides of a... | |
 | Charles Austin Hobbs - Geometry, Plane - 1899 - 266 pages
...COB. IV. In a right triangle, the two acute angles are complementary, Proposition 38. Theorem. 49. An exterior angle of a triangle is equal to the sum of the two opposite interior angles. COB. An exterior angle of a triangle is greater than either of the two opposite interior angles. Ex.... | |
 | Webster Wells - Geometry - 1899 - 424 pages
...Cor. I. It follows from the above demonstration that Z BCD = Z ECD + Z J3OS = Z .4 + Z 5 ; hence 1. An exterior angle of a triangle is equal to the sum of the two opposite interior angles. 2. An exterior angle of a triangle is greater than either of the opposite interior angles. RECTILINEAR... | |
 | William James Milne - Geometry - 1899 - 404 pages
...angle of one are equal to a side and an acute angle of the ofoer, each to each. " 115. Cor. V. Any exterior angle of a triangle is equal to the sum of the two opposite interior angles. 1. What interior angle is equal to Z t' ? Why ? 2. What interior angle is equal to Z s' ? Why ? 3.... | |
 | Education - 1899 - 658 pages
...of the angles of a. triangle meet at a point that is equi-distant from the sides of the triangle. 4. The exterior angle of a triangle is equal to the sum of the opposite interior angles. 5. Inscribe a square in a given circle. 6. Give rule for finding area... | |
 | Edward Brooks - Geometry, Modern - 1901 - 278 pages
...acute angle of the other, the other acute angles are equal. TRIANGLES. PROPOSITION XVIII. — THEOREM. The exterior angle of a triangle is equal to the sum of the two opposite interior angles. Given. — Let ABC be any triangle, and CBD be its exterior angle. To Prove. — Then we are to prove... | |
 | Thomas Smith (D.D.) - Euclid's Elements - 1902 - 244 pages
...draw a straight line parallel to a given straight line. And so he was able in Prop. 32 to prove that the exterior angle of a triangle is equal to the sum of the two interior opposite angles. Thus it appears that Prop. 16 is only a scaffolding for the erection... | |
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An exterior angle of a triangle is equal to the sum of the two opposite interior angles. 
