Elements of Geometry and Trigonometry: With Applications in Mensuration |
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Page 8
... Cone , To find the Solidity of a Cone , 239-240 240-247 248 248-249 249-250 250-251 251-252 To find the Surface of the Frustum of a Cone , 253 ยท To find the Solidity of the Frustum of a Cone , To find the Surface of a Sphere , To find ...
... Cone , To find the Solidity of a Cone , 239-240 240-247 248 248-249 249-250 250-251 251-252 To find the Surface of the Frustum of a Cone , 253 ยท To find the Solidity of the Frustum of a Cone , To find the Surface of a Sphere , To find ...
Page 130
... cylinder , and a corres- ponding polygon be inscribed in the upper base , and their vertices be joined by straight lines , the prism thus formed is said to be inscribed in the cylinder . Of the Cone . 20. A cone is a solid. 130 GEOMETRY.
... cylinder , and a corres- ponding polygon be inscribed in the upper base , and their vertices be joined by straight lines , the prism thus formed is said to be inscribed in the cylinder . Of the Cone . 20. A cone is a solid. 130 GEOMETRY.
Page 131
... cone . The hypothenuse , AC , is called the 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 ...
... cone . The hypothenuse , AC , is called the 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 ...
Page 132
... cones are also similar , when the diameters of their bases are proportional to their altitudes . 25. A sphere is a solid terminated by a curved surface , all the points of which are equally distant from a certain point within called the ...
... cones are also similar , when the diameters of their bases are proportional to their altitudes . 25. A sphere is a solid terminated by a curved surface , all the points of which are equally distant from a certain point within called the ...
Page 139
... slant height . THEOREM VII . The convex surface of the frustum of a regular pyramid is equal to half the sum of the perimeters of the upper and lower hases multiplied by the slant height . Of the Cone . Let a -- ABCDE be the BOOK VI . 139.
... slant height . THEOREM VII . The convex surface of the frustum of a regular pyramid is equal to half the sum of the perimeters of the upper and lower hases multiplied by the slant height . Of the Cone . Let a -- ABCDE be the BOOK VI . 139.
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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