Plane and Solid Geometry: To which is Added Plane and Spherical Trigonometry and Mensuration. Accompanied with All the Necessary Logarithmic and Trigonometric Tables |
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Page 26
... exterior angles on the same side is equal to two right angles . II . When the alternate interior angles are equal . III . When the alternate exterior angles are equal . IV . When the corresponding angles are equal . First . Suppose EGB ...
... exterior angles on the same side is equal to two right angles . II . When the alternate interior angles are equal . III . When the alternate exterior angles are equal . IV . When the corresponding angles are equal . First . Suppose EGB ...
Page 27
... angles ( T. I. ) , consequently BGH + GHD = 2 right angles . Cor . It follows immediately from D. X. , in connection ... exterior angles on the same side equal two right angles . II . The alternate interior angles equal . III . The ...
... angles ( T. I. ) , consequently BGH + GHD = 2 right angles . Cor . It follows immediately from D. X. , in connection ... exterior angles on the same side equal two right angles . II . The alternate interior angles equal . III . The ...
Page 38
... exterior angles are bisected by the lines BF and CF , the point F , where they intersect , will be on the line AF , which bisects the angle at A. C F. A B D Scholium . This common point , equidistant from the three sides of a triangle ...
... exterior angles are bisected by the lines BF and CF , the point F , where they intersect , will be on the line AF , which bisects the angle at A. C F. A B D Scholium . This common point , equidistant from the three sides of a triangle ...
Page 52
... angles , and the exterior angles of a triangle , they will intersect each other by threes at the centres of the inscribed and escribed circles ; thus the three lines which bisect the angles will meet at the same point , giving the ...
... angles , and the exterior angles of a triangle , they will intersect each other by threes at the centres of the inscribed and escribed circles ; thus the three lines which bisect the angles will meet at the same point , giving the ...
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Common terms and phrases
ABē ABCD altitude angles equal apothem base bisecting centre chord circle circumference circumscribed circle circumscribed polygon cone consequently corresponding cosec Cosine Cotang cubic cylinder decimal denote diameter dicular distance divided draw drawn equally distant equation exterior angles feet figure frustum GEOMETRY given angle given line gives greater half hence homologous hypotenuse inches included angle intersection logarithm measure middle point multiplied number of sides opposite parallel parallelogram parallelopipedon pendicular perimeter perpen perpendicular plane MN polyedral angle polyedron prism PROBLEM proportion pyramid quadrant quadrilateral radii radius ratio rectangle regular polygon respectively equal right angles right-angled triangle Scholium secant similar similar triangles Sine slant height solid sphere spherical triangle square straight line subtract suppose surface Tang Tangent THEOREM three sides triangle ABC volume