Elements of Geometry and Trigonometry |
From inside the book
Results 1-5 of 19
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 . For , the convex surface is ...
... 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 . For , the convex surface is ...
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 . E M P N B C G 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 ...
... convex surface . The immoveable line AB is called the axis of the cylinder . E M P N B C G 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 ...
Other editions - View all
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