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 v
... relating to the Fourth Book , BOOK V. Regular Polygons - Measurement of the Circle , 82 6899 59 93 129 136 BOOK VI . Planes , and Polyedral Angles , . 157 BOOK VII . Polyedrons , ... 178 Cylinder , Cone , and Sphere , BOOK VIII .
... relating to the Fourth Book , BOOK V. Regular Polygons - Measurement of the Circle , 82 6899 59 93 129 136 BOOK VI . Planes , and Polyedral Angles , . 157 BOOK VII . Polyedrons , ... 178 Cylinder , Cone , and Sphere , BOOK VIII .
Page vii
... Polygon , 113 Area of a Regular Polygon , 114 To find the Circumference of a Circle , 116 To find 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 ...
... Polygon , 113 Area of a Regular Polygon , 114 To find the Circumference of a Circle , 116 To find 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 ...
Page viii
... Polygon , 123 Volume of a Prism , 124 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 ...
... Polygon , 123 Volume of a Prism , 124 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 ...
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 polygon is any one of its sides on which the polygon is supposed to stand . 25. Triangles may be classified with reference ...
... polygon is a line joining the ver tices of two angles , not consecutive . 24. A BASE of a polygon is any one polygon is any one of its sides on which the polygon is supposed to stand . 25. Triangles may be classified with reference ...
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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