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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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Plane Geometry

Mabel Sykes, Clarence Elmer Comstock - 1918 - 576 pages
...are equal. COR. III. The acute angles of a right triangle are complements of each other. THEOREM lit. The exterior angle of a triangle is equal to the sum of the two non-adjacent interior angles. THEOREM 20. The sum of the interior angles of a polygon of n...
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Elementary Functions and Applications

Arthur Sullivan Gale, Charles William Watkeys - 1920 - 457 pages
...triangle bisects the base perpendicularly. (b) In any plane triangle the sum of the angles is 180°. (c) The exterior angle of a triangle is equal to the sum of the two opposite interior angles. (d) In a right triangle the square on the hypotenuse is equal to...
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Solid Geometry

Mabel Sykes, Clarence Elmer Comstock - 1922 - 236 pages
...are equal. COR. III. The acute angles of a right triangle are complements of each other. THEOREM 19. The exterior angle of a triangle is equal to the sum of the two non-adjacent interior angles.^ ^ THEOREM 20. The sum of the interior angles of a polygon of...
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General Mathematics, Book 2

Raleigh Schorling, William David Reeve - 1922 - 460 pages
...5. 6. Or 7. But Z x is measured by BC. 1. One and only one line can be drawn between two points. 2. The exterior angle of a triangle is equal to the sum of the two remote interior angles. 3. Radii of the same circle are equal. 4. Base angles of an isosceles...
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Examination Papers for Admission to the United States Naval Academy ...

United States Naval Academy - 1914 - 110 pages
...No smooth copy is required- Pencil may be used for all mathematical work. Question 1. (a) Prove that the exterior angle of a triangle is equal to the sum of the interior opposite angles of the triangle, and thence find the sum of the angles of the triangle....
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Coast Artillery Field Manual

1938 - 430 pages
...0.025°. b. Construction of azimuth difference circles. — Two propositions of geometry are used: first, the exterior angle of a triangle is equal to the sum of the two opposite interior angles ; and second, an inscribed angle is measured by one-half the intercepted...
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The Nineteenth Century and After, Volume 80, Part 2

1916 - 696 pages
...the centre of which is pivoted an arm fitted with backsight and foresight. Now, the angle d, being the exterior angle of a triangle, is equal to the sum of the two interior and opposite angles a and b. Hence, since d=a+Ii 6=do , That is, by subtracting a from d he arrives...
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Basic Mathematics: Revision and Practice

R. Elvin, Raymond Elvin, A. Ledsham, C. Oliver - 1986 - 310 pages
...G. equilateral 2. 8cm 8cm The sum of the interior angles of a triangle is 180°. a + b + c = \80° The exterior angle of a triangle is equal to the sum of the two opposite interior angles. л л . ? x = a + b Example 1 „ А д Find the size of a, ¿>,...
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S.T. (P) Mathematics: Book 4A, Volume 4

Linda Bostock, F. S. Chandler, A. Shepherd - 1992 - 394 pages
...above also lead to another useful fact about angles in triangles: (2) and (3) =» / + £=?+? ie an exterior angle of a triangle is equal to the sum of the two interior opposite angles. Because this proof does not involve measuring angles in a particular triangle it applies to all possible...
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The Investigation of Difficult Things: Essays on Newton and the History of ...

Peter Michael Harman, Alan E. Shapiro - 2002 - 552 pages
...crosses it pa = pm, an( i tne an gle of half the vertex of the shadow is v u . By considering that the exterior angle of a triangle is equal to the sum of the interior and opposite angles, the following relations appear: (1) in triangle S'VE, r s = /> s...
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