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 10
... greater than a right angle . XV . When the sum of two angles is equal to a right angle , they are called Complementary angles ; each being the comple- ment of the other . XVI . When the sum of two angles is equal to two right angles ...
... greater than a right angle . XV . When the sum of two angles is equal to a right angle , they are called Complementary angles ; each being the comple- ment of the other . XVI . When the sum of two angles is equal to two right angles ...
Page 18
... greater than the angle ACB , opposite this side . A D C B For , the sum of the two angles DAB , DBA is obviously less than the sum of the two angles CAB , CBA . And since the sum of the three angles of every triangle is equal to two ...
... greater than the angle ACB , opposite this side . A D C B For , the sum of the two angles DAB , DBA is obviously less than the sum of the two angles CAB , CBA . And since the sum of the three angles of every triangle is equal to two ...
Page 28
... greater than the included angle of the second , the third side of the first will be greater than the third side of the second . In the two triangles ABC and DEF , suppose CA 28 . GEOMETRY . Of triangles.
... greater than the included angle of the second , the third side of the first will be greater than the third side of the second . In the two triangles ABC and DEF , suppose CA 28 . GEOMETRY . Of triangles.
Page 29
... greater than BG ( T. VII . ) . Although the triangle DEF , when ap- plied to ABC , may have three different ... greater than the third side of the second , the included angle of the first will be greater than the included angle of ...
... greater than BG ( T. VII . ) . Although the triangle DEF , when ap- plied to ABC , may have three different ... greater than the third side of the second , the included angle of the first will be greater than the included angle of ...
Page 32
... greater side of every triangle is opposite the greater angle , and , conversely , the greater angle is opposite the greater First . Suppose , in the triangle ABC , the. side . * When a reference is made from one Book to 32 GEOMETRY .
... greater side of every triangle is opposite the greater angle , and , conversely , the greater angle is opposite the greater First . Suppose , in the triangle ABC , the. side . * When a reference is made from one Book to 32 GEOMETRY .
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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