Libros Libros 21 - 30 de 163 sobre To prove that the exterior angle of a triangle is equal to the sum of the two interior...
To prove that the exterior angle of a triangle is equal to the sum of the two interior opposite angles (see fig.
A complete system of mensuration, with additions by J. Trotter - Página 144
por Alexander Ingram - 1851
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Elements of Geometry

Simon Newcomb - 1881 - 399 páginas
...Prove that a triangle cannot have more than one right angle. THEOREM V. 76. Each exterior angle pf a triangle is equal to the sum of the two interior and opposite angles. Hypothesis. A BC, any triangle. D, any point on AB produced. Conclusion. Exterior angle CBD = angle...
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Elements of Geometry

George Albert Wentworth - 1881 - 250 páginas
...is one third of two right angles, or two thirds of one right angle. PROPOSITION XXII. THEOREM. 105. The exterior angle of a triangle is equal to the sum of the two opposite interior angles. л— — Let BC H be an exterior angle of the triangle ABC. We are...
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Elements of geometry, tr. by J. Kaines

Alexis Claude Clairaut - 1881
...angles are equal 37 64. The sum of the three angles of a triangle is equal to two right angles 37 68. The exterior angle of a triangle is equal to the sum of its two interior opposite angles ........ 38 69. One angle of an isosceles triangle determines the...
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Elementary Geometry: Including Plane, Solid, and Spherical Geometry, with ...

Edward Olney - 1883 - 333 páginas
...formed by any side with its adjacent side produced, as CBD, Fig. 116. PROPOSITION IV. Theorem.— Any exterior angle of a triangle is equal to the sum of the two interior non-adjacent angles. DEMONSTRATION. Let ABC be a triangle, and CBD be an exterior angle. We are to...
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Exercises on the geometry and measurement of plane figures, being solutions ...

Richard Wormell - 1883
...produced sides. Let the bisectors of E and F intersect at right angles at О ; then, from the fact that the exterior angle of a triangle is equal to the sum of the interior and opposite angles, if R ba written for a right angle, LA = E + (2 R - D), ¿A=F + (2R...
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The New Physics: A Manual of Experimental Study for High Schools and ...

John Trowbridge - 1884 - 367 páginas
...can be obtained very simply by geometry. The propositions necessary to prove it are the following: 1. The exterior angle of a triangle is equal to the sum of the opposite interior angles. 2. Two angles are equal when their sides are mutually perpendicular....
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The Common Sense of the Exact Sciences

William Kingdon Clifford - 1885 - 271 páginas
...Fio. 21. The other form into which our proposition may be thrown is that either of the exterior angles of a triangle is equal to the sum of the two interior angles opposite to it. For, in the figure, the exterior angle A c D, together with A c B, makes two...
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THE ELEMENTS OF GEOMETRY.

GEORGE BRUCE HALSTED - 1885
...= half 2^ at center standing on (arc BC + arc DA). PROOF. Join CD. £ BFC = £ BDC + £ DCA. (173. The exterior angle of a triangle is equal to the sum of the opposite interior angles.) But 2 4 BDC = £ at center on BC, and 2 £ DCA = £ at center on DA...
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The Elements of Geometry

George Bruce Halsted - 1886 - 366 páginas
...BFC = half 4 at center standing on (arc BC + arc DA). PROOF. Join CD. 4 BFC = 4 BDC + 4 DCA. (173. The exterior angle of a triangle is equal to the sum of the opposite interior angles.) But 2 4 BDC = 4 at center on BC, and 2 4 DCA = 4 at center on DA ; (375-...
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A Text-book of Geometry

George Albert Wentworth - 1888 - 386 páginas
...is onethird of two right angles, or two-thirds of one right angle. PROPOSITION XXIV. THEOREM. 145. The exterior angle of a triangle is equal to the sum of the two opposite interior angles. A c Let BCH be an exterior angle of the triangle ABC. To prove Z...
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