Elements of Geometry and Trigonometry: With Applications in Mensuration |
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Page 128
... polygan , and the perpendicular SO passes through the middle point of the base , the pyramid is called a right pyramid , and the line SO is called the axis . Pyramid and Cylinder . 14. The slant height of a 128 GEOMETRY .
... polygan , and the perpendicular SO passes through the middle point of the base , the pyramid is called a right pyramid , and the line SO is called the axis . Pyramid and Cylinder . 14. The slant height of a 128 GEOMETRY .
Page 129
... slant height of the Pyramid S - ABCDE . B 15. If from the pyramid S - ABCDE the pyramid S - abcde be cut off by a plane parallel to the base , the remain- ing solid , below the plane , is called . the frustum of a pyramid . The altitude ...
... slant height of the Pyramid S - ABCDE . B 15. If from the pyramid S - ABCDE the pyramid S - abcde be cut off by a plane parallel to the base , the remain- ing solid , below the plane , is called . the frustum of a pyramid . The altitude ...
Page 131
... slant height of the cone , and the surface described by it , is called the convex surface of the cone . A The side of the triangle , CB , which remains fixed , is called the axis , or altitude of the cone , and the point C , the vertex ...
... slant height of the cone , and the surface described by it , is called the convex surface of the cone . A The side of the triangle , CB , which remains fixed , is called the axis , or altitude of the cone , and the point C , the vertex ...
Page 139
... slant height . Let S - ABCDE be a right pyra- mid , SF its slant height : then will its convex surface be equal to half the product SFX ( AB + BC + CD + DE + EA ) . For , since the pyramid is right , the point O , in which the axis ...
... slant height . Let S - ABCDE be a right pyra- mid , SF its slant height : then will its convex surface be equal to half the product SFX ( AB + BC + CD + DE + EA ) . For , since the pyramid is right , the point O , in which the axis ...
Page 140
... slant height Ff . For , since the upper base abcde , is similar to the lower base ABCDE E e a ( Th . iv ) , and since ABCDE is a regular polygon , it follows that the sides ab , bc , cd , de , and ea , are all equal to each other ...
... slant height Ff . For , since the upper base abcde , is similar to the lower base ABCDE E e a ( Th . iv ) , and since ABCDE is a regular polygon , it follows that the sides ab , bc , cd , de , and ea , are all equal to each other ...
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Common terms and phrases
adjacent angles allel altitude angles equal bisect called centre chains chord circle whose diameter circumference column common comp cone consequently convex surface Cosine Cosine D Cotang cylinder Davies decimal diagonal dicular distance divided draw equal Bk equal to half equivalent figure find the area frustum greater half the arc half the product hence horizontal hypothenuse inches included angle inscribed intersection Let ABCD logarithm lower base M.
M. Sine measured by half Mensuration of Surfaces number of sides opposite angles outward angle parallel parallelogram parallelopipedon pendicular pentagonal pyramid perimeter perpen perpendicular plane prism PROBLEM proportion pyramid quadrilateral radii radius ratio rectangle regular polygon Required the area rhombus right angled triangle right angles Bk segment side AC similar similar triangles slant height solidity sphere straight line suppose Tang tangent THEOREM triangle ABC upper base yards