Elements of Geometry and Trigonometry |
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Page 11
... opposite the right angle is called the hypothenuse . Thus , in the triangle ABC , right - angled at A , the side BC is the hypothenuse . B A 17. Among the quadrilaterals , we distinguish : The square , which has its sides equal , and ...
... opposite the right angle is called the hypothenuse . Thus , in the triangle ABC , right - angled at A , the side BC is the hypothenuse . B A 17. Among the quadrilaterals , we distinguish : The square , which has its sides equal , and ...
Page 16
... opposite or vertical angle ECB ( Ax . 3. ) . Scholium . The four angles formed about a point by two straight lines , which intersect each other , are together equal to four right angles : for the sum of the two angles ACE , ECB , is ...
... opposite or vertical angle ECB ( Ax . 3. ) . Scholium . The four angles formed about a point by two straight lines , which intersect each other , are together equal to four right angles : for the sum of the two angles ACE , ECB , is ...
Page 20
... opposite the equal sides are equal . Let the side BA be equal to the side AC ; then will the angle C be equal to the angle B. A For , join the vertex A , and D the middle point of the base BC . Then , the triangles BAD , DAC , will have ...
... opposite the equal sides are equal . Let the side BA be equal to the side AC ; then will the angle C be equal to the angle B. A For , join the vertex A , and D the middle point of the base BC . Then , the triangles BAD , DAC , will have ...
Page 21
... opposite to the greater an- gle ; and conversely , the greater angle is opposite to the greater side . First , Let the angle C be greater than the angle A B ; then will the side AB , opposite C , be greater than AC , opposite B. For ...
... opposite to the greater an- gle ; and conversely , the greater angle is opposite to the greater side . First , Let the angle C be greater than the angle A B ; then will the side AB , opposite C , be greater than AC , opposite B. For ...
Page 26
... Opposite exterior and interior angles lie on the same side of the secant line , the one without and the other within the parallels , but not adjacent : thus , EGB , GOD , are opposite exterior and interior angles ; and so also , are the ...
... Opposite exterior and interior angles lie on the same side of the secant line , the one without and the other within the parallels , but not adjacent : thus , EGB , GOD , are opposite exterior and interior angles ; and so also , are the ...
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Common terms and phrases
adjacent altitude angle ACB angle BAC ar.-comp base multiplied bisect Book VII centre chord circ circumference circumscribed common cone convex surface cosine cotangent cylinder diagonal diameter dicular distance divided draw drawn equal angles 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 measured by half number of sides opposite parallelogram parallelopipedon pendicular perimeter perpen perpendicular 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 slant height solid angle solid described sphere spherical polygon spherical triangle square described straight line tang tangent THEOREM triangle ABC triangular prism vertex