Elements of Geometry and Trigonometry: From the Works of A. M. Legendre |
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Page 7
... of a Circle , To find the length of an Arc , Area of a Circle , Area of a Sector , Arca of a Segment , Area of a Circular Ring , .. 116 116 117 117 118 118 ... 119 ... Area of the Surface of a Prism , Area of CONTENTS . vi.
... of a Circle , To find the length of an Arc , Area of a Circle , Area of a Sector , Arca of a Segment , Area of a Circular Ring , .. 116 116 117 117 118 118 ... 119 ... Area of the Surface of a Prism , Area of CONTENTS . vi.
Page 8
... Prism , Area of the Surface of a Pyramid , Area of the Frustum of a Cone , Area of the Surface of a Sphere , Area of a Zone , Area of a Spherical Polygon , Volume of a Prism , .... PAGE . 120 120 121 ... 122 122 123 124 124 125 .... 126 ...
... Prism , Area of the Surface of a Pyramid , Area of the Frustum of a Cone , Area of the Surface of a Sphere , Area of a Zone , Area of a Spherical Polygon , Volume of a Prism , .... PAGE . 120 120 121 ... 122 122 123 124 124 125 .... 126 ...
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 bases are triangles ; a quadrangular prism is one whose bases are quadrilaterals ; a pentangular prism is one whose bases are pentagons , and so on . 1 . A PARALLELOPIPEDON is a prism whose bases are parallelograms ...
... prism is one whose bases are triangles ; a quadrangular prism is one whose bases are quadrilaterals ; a pentangular prism is one whose bases are pentagons , and so on . 1 . A PARALLELOPIPEDON is a prism whose bases are parallelograms ...
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 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