Elements of Geometry and Trigonometry |
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Page 11
... triangle , one which has two of its sides . equal ; a scalene triangle , one which has its three sides unequal . 16. A right - angled triangle is one which has a right angle . The side opposite the right angle is called the hypothenuse ...
... triangle , one which has two of its sides . equal ; a scalene triangle , one which has its three sides unequal . 16. A right - angled triangle is one which has a right angle . The side opposite the right angle is called the hypothenuse ...
Page 16
... triangles will be equal . Let the side ED be equal to the side BA , the side DF to the side AC , and the an- gle D to the angle A ; then will the triangle EDF be equal to the triangle BAC . E D FB A For , these triangles may be so ...
... triangles will be equal . Let the side ED be equal to the side BA , the side DF to the side AC , and the an- gle D to the angle A ; then will the triangle EDF be equal to the triangle BAC . E D FB A For , these triangles may be so ...
Page 17
... triangle EDF is equal to the triangle BAC ( Ax . 13. ) . Cor . When two triangles have these three things equal , namely , the side ED = BA , the side DF - AC , and the angle D = A , the remaining three are also respectively equal ...
... triangle EDF is equal to the triangle BAC ( Ax . 13. ) . Cor . When two triangles have these three things equal , namely , the side ED = BA , the side DF - AC , and the angle D = A , the remaining three are also respectively equal ...
Page 18
... triangle , is greater than the third side . Let ABC be a triangle : then will the sum of two of its sides , as AC , CB , be greater than the third side AB . For the straight line AB is the short- est distance between the points A and B ...
... triangle , is greater than the third side . Let ABC be a triangle : then will the sum of two of its sides , as AC , CB , be greater than the third side AB . For the straight line AB is the short- est distance between the points A and B ...
Page 19
... triangle ABC , or upon its base BC , or within it . First Case . The straight line GC < GI + IC , and the straight line AB < AI + IB ; therefore , GC + AB < GI + AI + IC + ÏB , or , which is the same thing , GC + AB < AG + BC . Take ...
... triangle ABC , or upon its base BC , or within it . First Case . The straight line GC < GI + IC , and the straight line AB < AI + IB ; therefore , GC + AB < GI + AI + IC + ÏB , or , which is the same thing , GC + AB < AG + BC . Take ...
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Common terms and phrases
adjacent adjacent angles altitude angle ACB angle BAC ar.-comp base multiplied bisect Book VII centre chord circ circumference circumscribed common cone convex surface Cosine cylinder diagonal diameter dicular distance divided draw drawn equally distant equations equivalent feet figure find the area formed four right angles frustum given angle given line gles greater homologous sides hypothenuse inscribed circle inscribed polygon intersection less Let ABC logarithm number of sides opposite parallelogram parallelopipedon pendicular perimeter perpen perpendicular perpendicular let fall plane MN polyedron polygon ABCDE PROBLEM proportional PROPOSITION pyramid quadrant quadrilateral quantities radii radius ratio rectangle regular polygon right angled triangle S-ABCDE Scholium secant segment similar Sine Cotang slant height solid angle solid described sphere spherical polygon spherical triangle square described straight line tang tangent THEOREM triangle ABC triangular prism vertex