Elements of Geometry and Trigonometry |
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Page 6
... Triangles , 231 Solution of Rectilineal Triangles by Logarithms , 235 Solution of Right angled Triangles , 237 Solution of Triangles in general , 238 SPHERICAL TRIGONOMETRY . First principles , Napier's Circular Parts , 246 252 ...
... Triangles , 231 Solution of Rectilineal Triangles by Logarithms , 235 Solution of Right angled Triangles , 237 Solution of Triangles in general , 238 SPHERICAL TRIGONOMETRY . First principles , Napier's Circular Parts , 246 252 ...
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 For , these triangles may be so applied ...
... 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 For , these triangles may be so applied ...
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 line AB is the shortest dis- tance between the points A and B ( Def ...
... 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 line AB is the shortest dis- tance between the points A and B ( Def ...
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Common terms and phrases
adjacent adjacent angles altitude angle ACB angle BAC ar.-comp base multiplied bisect Book centre chord circ circumference circumscribed common cone consequently convex surface cylinder diagonal diameter dicular distance draw drawn equal angles equally distant equation equiangular equivalent figure formed four right angles frustum given angle given line gles greater homologous sides hypothenuse inscribed circle inscribed polygon intersection less Let ABC let fall logarithm measured by half number of sides opposite parallelogram parallelopipedon pendicular perimeter perpen perpendicular plane MN polyedron polygon ABCDE prism proportional PROPOSITION pyramid quadrant quadrilateral quantities radii radius ratio rectangle regular polygon right angled triangle S-ABC Scholium secant secant line segment side BC similar solid angle solid described sphere spherical polygon spherical triangle square described straight line tang tangent THEOREM triangle ABC triangular prism vertex