| George Albert Wentworth - 1896 - 68 pages
...equiangular triangle, each angle is one-third of two right angles, or two-thirds of one right angle. 145. **The exterior angle of a triangle is equal to the sum of** the two opposite interior angles. 146. Cor. The exterior angle of a triangle is greater than either... | |
| Joe Garner Estill - 1896 - 186 pages
...: AP. PB=AiPi. PiBi. Brown University, June, 1896. 1. Have you been over all the required work ? 2. **The exterior angle of a triangle is equal to the sum of** the opposite interior angles. 3. Find a point equidistant from two given points P and Q, and at a given... | |
| Joseph Johnston Hardy - 1897 - 398 pages
...12. Two angles whose sides are perpendicular, each to each, are either equal or supplementary. 13. **The exterior angle of a triangle is equal to the sum of** the two opposite interior angles. 14. Two right angles are equal if the hypotenuse and an acute angle... | |
| Andrew Wheeler Phillips, Irving Fisher - 1897 - 376 pages
...(about 600 BC). the founder of Greek mathematics and philosophy. But angle n= angle A + angle B. §58 **[The exterior angle of a triangle is equal to the sum of** the two opposite interior angles. Substituting A for B, n — 2A. But « is measured by arc BC. §... | |
| Andrew Wheeler Phillips, Irving Fisher - 1897 - 370 pages
...angle B. §70 [Being base angles of an isosceles triangle.] , But angle »= angle A + angle B. § 58 **[The exterior angle of a triangle is equal to the sum of** the two opposite interior angles. Substituting A for B, n = 2A. But n is measured by arc B.£. § 185... | |
| James Howard Gore - 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 their sum, the third... | |
| F. J. Beck - 1899 - 288 pages
...of it. 5. Whaj: is a triangle? Name and define the different kinds of triangles. 6. Demonstrate: Any **exterior angle of a triangle is equal to the sum of the two interior** non-adjacent angles. 7. What is a quadrilateral? Name and define the three classes of quadrilaterals.... | |
| 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 - 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.... | |
| Thomas Smith (D.D.) - 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 of Prop. 32. When the builder... | |
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