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" Since the exterior angle of a triangle is equal to the sum of the two interior opposite angles (th. "
A Course of Mathematics: In Three Volumes : Composed for the Use of the ... - Page 114
by Charles Hutton - 1811
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Syllabus of Geometry

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...
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Numerical Problems in Plane Geometry: With Metric and Logarithmic Tables

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...
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Elements of Analytic Geometry

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...
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Elements of Geometry

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. §...
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Elements of Geometry

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...
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Plane and Solid Geometry

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...
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A Graded Question Book: Examination Question from the Primaries to the High ...

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....
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Ohio Educational Monthly and the National Teacher, Volume 48

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...
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Plane Geometry

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....
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Euclid, His Life and System

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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