Elements of Geometry and Trigonometry |
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Page 94
... lower base . I 6. The ALTITUDE OF A TRAPEZOID , is the perpendicular distance between its parallel sides . These sides are called bases ; one the upper , and the other , the lower base . 7. The AREA OF A SURFACE , is its numerical value ...
... lower base . I 6. The ALTITUDE OF A TRAPEZOID , is the perpendicular distance between its parallel sides . These sides are called bases ; one the upper , and the other , the lower base . 7. The AREA OF A SURFACE , is its numerical value ...
Page 95
... base and an equal altitude . Let the triangle ABC , and the parallelogram ABFD , have equal bases and equal ... lower base A of the parallelogram ; BA then , because they have equal altitudes , the vertex of the triangle will lie in the ...
... base and an equal altitude . Let the triangle ABC , and the parallelogram ABFD , have equal bases and equal ... lower base A of the parallelogram ; BA then , because they have equal altitudes , the vertex of the triangle will lie in the ...
Page 178
... bases of the prism ; one the upper , and the other the lower base ; the parallelograms taken together make up the lateral or convex surface of the prism ; the lines in which the lateral faces meet , are called lateral edges of the prism ...
... bases of the prism ; one the upper , and the other the lower base ; the parallelograms taken together make up the lateral or convex surface of the prism ; the lines in which the lateral faces meet , are called lateral edges of the prism ...
Page 180
... base , passes through the centre of the base . This perpendicular is called the axis of the pyramid . 12 The SLANT ... lower base of the frustum . 14. The ALTITUDE of a frustum of a pyramid , is the per- pendicular distance between the ...
... base , passes through the centre of the base . This perpendicular is called the axis of the pyramid . 12 The SLANT ... lower base of the frustum . 14. The ALTITUDE of a frustum of a pyramid , is the per- pendicular distance between the ...
Page 185
... base ( D. 11 ) : hence , the lateral edges , SA , SB , & c . , are all equal ( B. VI . , P. V. ) ; but the sides of ... lower bases , multiplied by the slant height . E Let ABCDE - e be a frustum of a right pyramid , whose vertex is S : then ...
... base ( D. 11 ) : hence , the lateral edges , SA , SB , & c . , are all equal ( B. VI . , P. V. ) ; but the sides of ... lower bases , multiplied by the slant height . E Let ABCDE - e be a frustum of a right pyramid , whose vertex is S : then ...
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Common terms and phrases
ABCD ACĀ² adjacent angles altitude angle ACB apothem Applying logarithms base and altitude bisect centre chord circle circumference circumscribed coincide cone consequently convex surface corresponding cosec cosine Cotang cylinder denote diagonals diameter distance divided draw drawn edges equally distant feet find the area Formula frustum given angle given line given point greater hence homologous hypothenuse included angle interior angles intersection less Let ABC log sin logarithm lower base mantissa mean proportional measured by half middle point number of sides opposite parallel parallelogram parallelopipedon perimeter perpendicular plane MN polyedral angle polyedron prism PROBLEM PROPOSITION proved pyramid quadrant radii radius rectangle regular polygons right angles right-angled triangle Scholium secant segment side BC similar sine slant height sphere spherical polygon spherical triangle square Tang tangent THEOREM triangle ABC triangular prisms triedral angle upper base vertex vertices whence