Elements of Geometry and Trigonometry: From the Works of A. M. Legendre |
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Page 8
... Volume of a Prism , .... PAGE . 120 120 121 ... 122 122 123 124 124 125 .... 126 127 128 132 Volume of a Pyramid , ..... Volume of the Frustum of a Pyramid , Volume of a Sphere , Volume of a Wedge , Volume of a Prismoid ,. Volumes of ...
... Volume of a Prism , .... PAGE . 120 120 121 ... 122 122 123 124 124 125 .... 126 127 128 132 Volume of a Pyramid , ..... Volume of the Frustum of a Pyramid , Volume of a Sphere , Volume of a Wedge , Volume of a Prismoid ,. Volumes of ...
Page 9
... VOLUMES , and ANGLES : hence , there are four kinds of units of measure , viz . , Units of Length , Units of Surface , Units of Volume , and Units of Angular Measure . 3. GEOMETRY is that branch of Mathematics which treats of the ...
... VOLUMES , and ANGLES : hence , there are four kinds of units of measure , viz . , Units of Length , Units of Surface , Units of Volume , and Units of Angular Measure . 3. GEOMETRY is that branch of Mathematics which treats of the ...
Page 178
... volume bounded by polygons . The bounding polygons are called faces of the polyedron ; the lines in which the polygons meet , are called edges of the polyedron ; the points in which the edges meet , are called vertices of the polyedron ...
... volume bounded by polygons . The bounding polygons are called faces of the polyedron ; the lines in which the polygons meet , are called edges of the polyedron ; the points in which the edges meet , are called vertices of the polyedron ...
Page 180
... edges , or angles , are called homologous . 17. A DIAGONAL of a polyedron , is a straight line join- ing the vertices of two polyedral angles not in the same face . 18. The VOLUME OF A POLYEDRON is its numerical value 180 GEOMETRY .
... edges , or angles , are called homologous . 17. A DIAGONAL of a polyedron , is a straight line join- ing the vertices of two polyedral angles not in the same face . 18. The VOLUME OF A POLYEDRON is its numerical value 180 GEOMETRY .
Page 181
From the Works of A. M. Legendre Adrien Marie Legendre. 18. The VOLUME OF A POLYEDRON is its numerical value expressed in terms of some other polyedron as a unit . The unit generally employed is a cube constructed on the linear unit as ...
From the Works of A. M. Legendre Adrien Marie Legendre. 18. The VOLUME OF A POLYEDRON is its numerical value expressed in terms of some other polyedron as a unit . The unit generally employed is a cube constructed on the linear unit as ...
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Common terms and phrases
ABē 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