Elements of Geometry and Trigonometry |
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Page 7
... the Diameter of a Circle , 116 To find the length of an Arc , 117 Area of a Circle , Area of a Sector , Area of a Segment , Area of a Circular Ring , 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 , 117 Area of a Circle , Area of a Sector , Area of a Segment , Area of a Circular Ring , 117 118 118 119 PAGE . Area of the Surface of a Prism , CONTENTS . vi :
Page 8
... Prism , 124 Volume of a Pyramid , 124 ...... Volume of the Frustum of a Pyramid , 125 Volume of a Sphere , 126 Volume of a Wedge , Volume of a Prismoid , .. 127 128 Volumes of Regular Polyedrons , ... 132 ELEMENTS OF GEOMETRY ...
... Prism , 124 Volume of a Pyramid , 124 ...... Volume of the Frustum of a Pyramid , 125 Volume of a Sphere , 126 Volume of a Wedge , Volume of a Prismoid , .. 127 128 Volumes of Regular Polyedrons , ... 132 ELEMENTS OF GEOMETRY ...
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
... Prisms are named from the number of sides of their bases ; a triangular prism is one whose bases are triangles ; a pentangular prism is one whose bases are pentagons , & c . 7. A PARALLELO PIPEDON is a prism whose bases are ...
... Prisms are named from the number of sides of their bases ; a triangular prism is one whose bases are triangles ; a pentangular prism is one whose bases are pentagons , & c . 7. A PARALLELO PIPEDON is a prism whose bases are ...
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
ABCD 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 line given point greater hence homologous hypothenuse included angle interior angles intersection less Let ABC log sin logarithm lower base mantissa mean proportional measured by half middle point number of sides opposite parallel parallelogram parallelopipedon perimeter perpendicular plane MN polyedral angle polyedron prism PROBLEM PROPOSITION proved pyramid quadrant radii radius rectangle regular polygons right angles right-angled triangle Scholium secant segment side BC similar sine slant height sphere spherical polygon spherical triangle square Tang tangent THEOREM triangle ABC triangular prisms triedral angle upper base vertex vertices whence