Elements of Geometry and Trigonometry from the Works of A.M. Legendre: Adapted to the Course of Mathematical Instruction in the United States |
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Page 94
... upper , and the other , the lower base . 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 ...
... upper , and the other , the lower base . 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 ...
Page 95
... base and an equal altitude . Let the triangle ABC , and the parallelogram ABFD , have equal bases and equal ... upper base of the parallelogram , or in the prolongation of that base . equal to From A , draw AE parallel to BC , forming ...
... base and an equal altitude . Let the triangle ABC , and the parallelogram ABFD , have equal bases and equal ... upper base of the parallelogram , or in the prolongation of that base . equal to From A , draw AE parallel to BC , forming ...
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 is a regular polygon , and in which the perpendicular drawn from the vertex to the plane of the base , passes ... upper base of the frustum ; the base of the pyramid is call- ed the lower base of the frustum . 14. The ALTITUDE of a ...
... base is a regular polygon , and in which the perpendicular drawn from the vertex to the plane of the base , passes ... upper base of the frustum ; the base of the pyramid is call- ed the lower base of the frustum . 14. The ALTITUDE of a ...
Page 185
... base ( D. 11 ) : hence , the lateral edges , SA , SB , & c . , are all equal ( B. VI . , P. V. ) ; but the sides of ... upper and lower bases , multiplied by the slant height . Let ABCDE - e be a frustum of a right pyramid , whose vertex is S ...
... base ( D. 11 ) : hence , the lateral edges , SA , SB , & c . , are all equal ( B. VI . , P. V. ) ; but the sides of ... upper and lower bases , multiplied by the slant height . Let ABCDE - e be a frustum of a right pyramid , whose vertex is S ...
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Common terms and phrases
AB² AC² 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 straight line greater hence homologous hypothenuse included angle interior angles intersection less Let ABC log sin lower base mantissa mean proportional measured by half number of sides opposite parallel parallelogram parallelopipedon perimeter perpendicular plane MN polyedral angle polyedron prism PROPOSITION proved pyramid quadrant radii radius rectangle regular polygons right angles right-angled triangle Scholium secant segment semi-circumference side BC similar sine six right slant height sphere spherical polygon spherical triangle square Tang tangent THEOREM triangle ABC triangular prisms triedral angle upper base vertex vertices whence