Elements of Geometry and Trigonometry: With Applications in Mensuration |
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Page 126
... prism is a solid , whose ends are equal polygons , and whose side faces are parallelograms . Thus , the prism whose lower base s the pentagon ABCDE , terminates in an equal and ... prism Of the Prism . 5. The altitude of a prism BOOK VI.
... prism is a solid , whose ends are equal polygons , and whose side faces are parallelograms . Thus , the prism whose lower base s the pentagon ABCDE , terminates in an equal and ... prism Of the Prism . 5. The altitude of a prism BOOK VI.
Page 127
... prism is one in which the edges AF , BG , EK , HC , and DI , are perpendicular to the bases . In the right prism , either of the per- pendicular edges is equal to the altitude . In the oblique prism the altitude is less than the edge ...
... prism is one in which the edges AF , BG , EK , HC , and DI , are perpendicular to the bases . In the right prism , either of the per- pendicular edges is equal to the altitude . In the oblique prism the altitude is less than the edge ...
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 133
... , f one plane be tangent to the sphere at A , and another plane cut it in the circle DF , the zone included be- tween them , will have but one base . D D A E Of the Prism . 34. A spherical segment is a. 12 BOOK VI . 133.
... , f one plane be tangent to the sphere at A , and another plane cut it in the circle DF , the zone included be- tween them , will have but one base . D D A E Of the Prism . 34. A spherical segment is a. 12 BOOK VI . 133.
Page 134
... prism : hence , their areas , that is , the con- vex surface of the prism , is equal to ( AB + BC + CD + DE + EA ) × AF ; that is , equal to the perimeter of the base of the prism multi- plied by its altitude . THEOREM II . The convex ...
... prism : hence , their areas , that is , the con- vex surface of the prism , is equal to ( AB + BC + CD + DE + EA ) × AF ; that is , equal to the perimeter of the base of the prism multi- plied by its altitude . THEOREM II . The convex ...
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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