Plane and Solid Geometry: To which is Added Plane and Spherical Trigonometry and Mensuration. Accompanied with All the Necessary Logarithmic and Trigonometric Tables |
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Page 152
... Prism . The two equal and parallel faces are called the bases of the prism , usually referred to as the lower base and the upper base ; and the parallelo- grams which make up the other faces , taken together , constitute the lateral ...
... Prism . The two equal and parallel faces are called the bases of the prism , usually referred to as the lower base and the upper base ; and the parallelo- grams which make up the other faces , taken together , constitute the lateral ...
Page 153
... prism , whose bases are parallelo- grams , is called a Parallelopipedon . When all the faces are rectangles it is called a Rectangular Parallelopipedon . When all the faces are squares it is called a Cube , or regular hexaedron . VI . A ...
... prism , whose bases are parallelo- grams , is called a Parallelopipedon . When all the faces are rectangles it is called a Rectangular Parallelopipedon . When all the faces are squares it is called a Cube , or regular hexaedron . VI . A ...
Page 154
... prism ; their bases AB , BC , CD , etc. , taken together , make up the perimeter of the prism's base : hence the sum of these rectangles , or the lateral surface of the prism , is equal to the perimeter of its base multi- plied by its ...
... prism ; their bases AB , BC , CD , etc. , taken together , make up the perimeter of the prism's base : hence the sum of these rectangles , or the lateral surface of the prism , is equal to the perimeter of its base multi- plied by its ...
Page 155
... prisms , which have equal bases and equal altitudes , are equal . For , since the side AB is equal to ab , and the altitude BG to bg , the rectangle ABGF will be equal to abgf , and in the same way , the rectangle BGHC will be equal to ...
... prisms , which have equal bases and equal altitudes , are equal . For , since the side AB is equal to ab , and the altitude BG to bg , the rectangle ABGF will be equal to abgf , and in the same way , the rectangle BGHC will be equal to ...
Page 156
... prism ABCI , let the sections NOPQR , STVXY be formed by parallel planes ; then will these sections be equal ... prism : hence NO is equal to ST . For like reasons , the sides OP , PQ , QR , etc. , of the section NOPQR , are ...
... prism ABCI , let the sections NOPQR , STVXY be formed by parallel planes ; then will these sections be equal ... prism : hence NO is equal to ST . For like reasons , the sides OP , PQ , QR , etc. , of the section NOPQR , are ...
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Common terms and phrases
ABē ABCD altitude angles equal apothem base bisecting centre chord circle circumference circumscribed circle circumscribed polygon cone consequently corresponding cosec Cosine Cotang cubic cylinder decimal denote diameter dicular distance divided draw drawn equally distant equation exterior angles feet figure frustum GEOMETRY given angle given line gives greater half hence homologous hypotenuse inches included angle intersection logarithm measure middle point multiplied number of sides opposite parallel parallelogram parallelopipedon pendicular perimeter perpen perpendicular plane MN polyedral angle polyedron prism PROBLEM proportion pyramid quadrant quadrilateral radii radius ratio rectangle regular polygon respectively equal right angles right-angled triangle Scholium secant similar similar triangles Sine slant height solid sphere spherical triangle square straight line subtract suppose surface Tang Tangent THEOREM three sides triangle ABC volume