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 iv
... volume , has been introduced in its place , under the belief that it corresponds more exactly to the idea intended . Many other departures have been made from the original text , the value and utility of which have been made manifest in ...
... volume , has been introduced in its place , under the belief that it corresponds more exactly to the idea intended . Many other departures have been made from the original text , the value and utility of which have been made manifest in ...
Page viii
... Volume of a Pyramid , 124 Volume of the Frustum of a Pyramid , 125 Volume of a Sphere , 126 Volume of a Wedge , 127 Volume of a Prismoid , 128 Volumes of Regular Polyedrons ,. 132 ELEMENTS OF GEOMETRY . INTRODUCTION , 1. QUANTITY is ...
... Volume of a Pyramid , 124 Volume of the Frustum of a Pyramid , 125 Volume of a Sphere , 126 Volume of a Wedge , 127 Volume of a Prismoid , 128 Volumes of Regular Polyedrons ,. 132 ELEMENTS OF GEOMETRY . INTRODUCTION , 1. QUANTITY is ...
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 .
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Common terms and phrases
AB² AC² altitude angle ACB apothem axis base and altitude base multiplied BC² bisect centre chord circumference coincide cone consequently convex surface corresponding cosec cosine Cotang cylinder denote diameter distance divided draw drawn edges equal bases equal in volume equal to AC equal to half equally distant Formula frustum given angle given line greater hence homologous hypothenuse included angle intersection less Let ABC logarithm lower base mantissa mean proportional measured by half number of sides opposite parallelogram perimeter perpendicular plane MN polyedral angle polyedron prism PROPOSITION XI proved pyramid quadrant radii radius rectangle regular polygons right-angled triangle Scholium segment semi-circumference side BC similar sine slant height sphere spherical angle spherical excess spherical polygon spherical triangle straight line tangent THEOREM triangle ABC triangular prisms triedral angle upper base vertex vertices whence