Elements of Geometry and Trigonometry: From the Works of A. M. Legendre |
From inside the book
Results 1-5 of 23
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
... upper base of the parallelogram , or in the prolongation of that base . equal to From A , draw AE parallel to BC , forming the par- allelogram ABCE . This parallelogram will be the parallelogram ABFD , from Proposition I. But the ...
... upper base of the parallelogram , or in the prolongation of that base . equal to From A , draw AE parallel to BC , forming the par- allelogram ABCE . This parallelogram will be the parallelogram ABFD , from Proposition I. But the ...
Page 178
... 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 . 3. The ALTITUDE of a prism ...
... 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 . 3. The ALTITUDE of a prism ...
Page 180
... upper base of the frustum ; the base of the pyramid is cal- led the lower base of the frustum . 14. The ALTITUDE of a frustum of a pyramid , is the per- pendicular distance between the planes of its bases . 15. The SLANT HEIGHT of a ...
... upper base of the frustum ; the base of the pyramid is cal- led the lower base of the frustum . 14. The ALTITUDE of a frustum of a pyramid , is the per- pendicular distance between the planes of its bases . 15. The SLANT HEIGHT of a ...
Page 185
... upper and lower bases , multiplied by the slant height . Let ABCDE - e be a frustum of a right pyramid , whose vertex is S : then will the section abcde be similar to the base ABCDE , and their homologous sides will be parallel , ( P ...
... upper and lower bases , multiplied by the slant height . Let ABCDE - e be a frustum of a right pyramid , whose vertex is S : then will the section abcde be similar to the base ABCDE , and their homologous sides will be parallel , ( P ...
Other editions - View all
Common terms and phrases
ABĀ² ABCD altitude apothem Applying logarithms centre chord circle circumference cone consequently convex surface cosec Cosine Cotang cylinder demonstrated in Book denote diameter distance divided draw edges Equation feet find the area Find the logarithmic following RULE frustum given angle greater hence homologous hypothenuse included angle inscribed intersection less Let ABC linear units log cot log sin lower base lune mantissa multiplied number of sides opposite parallel parallelogram parallelopipedon perpendicular plane MN polar triangle polyedral angle polyedron principle demonstrated prism proportional PROPOSITION proved pyramid quadrant radii radius rectangle regular polygon right angles right-angled triangle Scholium segment similar six right slant height solution sphere spherical angle spherical excess spherical polygon spherical triangle square straight line subtracting Tang tangent THEOREM triangle ABC triangular prism upper base vertex volume whence write the following