Elements of Geometry and Trigonometry: From the Works of A. M. Legendre |
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Page 5
... to the Fourth Book , 129 BOOK V. Regular Polygons - Measurement of the Circle , 136 ...... BOOK VI . Planes , and Polyedral Angles , 157 BOOK VII . Polyedrons , ........ 178 BOOK VIII . Cylinder , Cone , and Sphere ,
... to the Fourth Book , 129 BOOK V. Regular Polygons - Measurement of the Circle , 136 ...... BOOK VI . Planes , and Polyedral Angles , 157 BOOK VII . Polyedrons , ........ 178 BOOK VIII . Cylinder , Cone , and Sphere ,
Page 7
... Polygon , 105 106 106 108 112 112 113 114 . Area of a Regular Polygon , To find the Circumference of a Circle , To find the Diameter of a Circle , To find the length of an Arc , Area of a Circle , Area of a Sector , Arca of a Segment ...
... Polygon , 105 106 106 108 112 112 113 114 . Area of a Regular Polygon , To find the Circumference of a Circle , To find the Diameter of a Circle , To find the length of an Arc , Area of a Circle , Area of a Sector , Arca of a Segment ...
Page 8
... Polygon , 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 ...
... Polygon , 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 ...
Page 15
... polygon . The broken line , made up of all the sides of the polygon , is called the perimeter of the polygon . The angles formed by the sides , are called angles of the polygon . 19. Polygons are classified according to the number of ...
... polygon . The broken line , made up of all the sides of the polygon , is called the perimeter of the polygon . The angles formed by the sides , are called angles of the polygon . 19. Polygons are classified according to the number of ...
Page 16
... polygon is a line joining the ver tices of two angles , not consecutive . 24. A BASE of a polygon is any one of its sides on which the polygon is supposed to stand . 25. Triangles may be classified with reference either to their sides ...
... polygon is a line joining the ver tices of two angles , not consecutive . 24. A BASE of a polygon is any one of its sides on which the polygon is supposed to stand . 25. Triangles may be classified with reference either to their sides ...
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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