Elements of Geometry and Trigonometry |
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Page 142
... convex surface of the prism ; the equal straight lines AF , BG , CH , & c . are called the sides , or edges of the prism . 5. The altitude of a prism is the distance between its two bases , or the perpendicular drawn from a point in the ...
... convex surface of the prism ; the equal straight lines AF , BG , CH , & c . are called the sides , or edges of the prism . 5. The altitude of a prism is the distance between its two bases , or the perpendicular drawn from a point in the ...
Page 144
... convex surface of a right prism is equal to the perimeter of its base multiplied by its altitude . Let ABCDE - K be a right prism : then will its convex surface be equal to ( AB + BC + CD + DE + EA ) × AF . F K. H For , the convex ...
... convex surface of a right prism is equal to the perimeter of its base multiplied by its altitude . Let ABCDE - K be a right prism : then will its convex surface be equal to ( AB + BC + CD + DE + EA ) × AF . F K. H For , the convex ...
Page 146
... convex surface of a regular pyramid is equal to the perime- ter of its base multiplied by half the slant height . For , since the pyramid is regular , the point O , in which the axis meets the base , is the centre of the polygon ABCDE ...
... convex surface of a regular pyramid is equal to the perime- ter of its base multiplied by half the slant height . For , since the pyramid is regular , the point O , in which the axis meets the base , is the centre of the polygon ABCDE ...
Page 147
... convex surface of the pyramid , is equal to the perimeter of the base multiplied by half the slant height . Cor . The convex surface of the frustum of a regular pyra- mid is equal to half the perimeters of its upper and lower bases ...
... convex surface of the pyramid , is equal to the perimeter of the base multiplied by half the slant height . Cor . The convex surface of the frustum of a regular pyra- mid is equal to half the perimeters of its upper and lower bases ...
Page 166
... convex surface . The immoveable line AB is called the axis of the cylinder . KI M Every section KLM , made in the cylinder , at right angles to the axis , is a circle equal to F either of the bases ; for , whilst the rectangle ABCD ...
... convex surface . The immoveable line AB is called the axis of the cylinder . KI M Every section KLM , made in the cylinder , at right angles to the axis , is a circle equal to F either of the bases ; for , whilst the rectangle ABCD ...
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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 convex surface Cosine Cotang cylinder diagonal diameter dicular distance draw drawn equal angles equally distant equiangular equivalent figure formed four right angles frustum given angle given line gles greater homologous sides hypothenuse inscribed polygon intersection less Let ABC let fall logarithm measured by half number of sides oblique lines 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 sine solid angle solid described sphere spherical polygon spherical triangle square described straight line tang tangent THEOREM triangle ABC triangular prism vertex