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 vii
... the Diameter of a Circle , 116 To find the length of an Arc , Arca of a Circle , Area of a Sector , ..... Area of a Segment , .... Area of a Circular Ring ,. 117 117 118 118 119 PAGE . Area of the Surface of a Prism , CONTENTS . vi.
... the Diameter of a Circle , 116 To find the length of an Arc , Arca of a Circle , Area of a Sector , ..... Area of a Segment , .... Area of a Circular Ring ,. 117 117 118 118 119 PAGE . Area of the Surface of a Prism , CONTENTS . vi.
Page viii
... Prism , 120 Arca of the Surface of a Pyramid , 120 Area of the Frustum of a Cone , 121 Area of the Surface of a Sphere , 122 Area of a Zone , 122 Area of a Spherical Polygon , 123 Volume of a Prism , 124 Volume of a Pyramid , 124 Volume ...
... Prism , 120 Arca of the Surface of a Pyramid , 120 Area of the Frustum of a Cone , 121 Area of the Surface of a Sphere , 122 Area of a Zone , 122 Area of a Spherical Polygon , 123 Volume of a Prism , 124 Volume of a Pyramid , 124 Volume ...
Page 178
... prism ; the lines in which the lateral faces meet , are called lateral edges of the prism . 3. The ALTITUDE of a prism is the perpendicular dis- tance between the planes of its bases . 4. A RIGHT PRISM is one whose lateral edges are ...
... prism ; the lines in which the lateral faces meet , are called lateral edges of the prism . 3. The ALTITUDE of a prism is the perpendicular dis- tance between the planes of its bases . 4. A RIGHT PRISM is one whose lateral edges are ...
Page 179
... PRISM is one whose lateral edges are oblique to the planes of the bases . In this case , any lateral edge is greater than the altitude . 6. Prisms are named from the number of sides of their bases ; a triangular prism is one whose bases ...
... PRISM is one whose lateral edges are oblique to the planes of the bases . In this case , any lateral edge is greater than the altitude . 6. Prisms are named from the number of sides of their bases ; a triangular prism is one whose bases ...
Page 181
... prism is equal to the perim eter of either base multiplied by the altitude . Let ABCDE - K be a right prism : then is its convex surface equal to , ( AB + BC + CD + DE + EA ) × AF . For , the convex surface is equal to the sum of all ...
... prism is equal to the perim eter of either base multiplied by the altitude . Let ABCDE - K be a right prism : then is its convex surface equal to , ( AB + BC + CD + DE + EA ) × AF . For , the convex surface is equal to the sum of all ...
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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