Elements of Geometry and Trigonometry |
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Page 10
... sides . A -B The angle is sometimes designated simply by the letter at the vertex A ; sometimes by the three letters BAC , or CAB ,. the letter at the vertex being always placed in the middle . Angles , like all other quantities , are ...
... sides . A -B The angle is sometimes designated simply by the letter at the vertex A ; sometimes by the three letters BAC , or CAB ,. the letter at the vertex being always placed in the middle . Angles , like all other quantities , are ...
Page 11
... sides equal ; an isosceles 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 ...
... sides equal ; an isosceles 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 ...
Page 12
... side of the one is equal to the first side of the other , the second of the one to the second of the other , the third ... sides or angles . Definitions of terms employed in Geometry . An axiom is a self - evident proposition . A theorem ...
... side of the one is equal to the first side of the other , the second of the one to the second of the other , the third ... sides or angles . Definitions of terms employed in Geometry . An axiom is a self - evident proposition . A theorem ...
Page 16
... sides and the included angle of the one , equal to two sides and the included angle of the other , each to each , the two 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 ...
... sides and the included angle of the one , equal to two sides and the included angle of the other , each to each , the two 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 ...
Page 17
... side EF , will coincide with the third side BC ( Ax . 11. ) : therefore , the 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 ...
... side EF , will coincide with the third side BC ( Ax . 11. ) : therefore , the 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 ...
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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