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
... Polygons - Measurement of the Circle , Exercises , BOOK VI . Planes , and Polyedral Angles , Exercises , Polyedrons ,. Exercises , 61 84 95 97 29 188 140 142 ........ 163 165 187 BOOK VII . 189 221 1 BOOK VIII . PAGE Cylinder , Cone ...
... Polygons - Measurement of the Circle , Exercises , BOOK VI . Planes , and Polyedral Angles , Exercises , Polyedrons ,. Exercises , 61 84 95 97 29 188 140 142 ........ 163 165 187 BOOK VII . 189 221 1 BOOK VIII . PAGE Cylinder , Cone ...
Page vii
... Polygon , 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 , Area of a Segment ... Area of a ...
... Polygon , 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 , Area of a Segment ... Area of a ...
Page viii
... Polygon , ... 137 Volume of a Prism , 138 Volume of a Pyramid , ........ 189 Volume of the Frustum of a Pyramid , 139 Volume of a Sphere , 141 Volume of a Wedge , 141 Volume of a Prismoid , 144 Volumes of Regular Polyedrons , 146 ...
... Polygon , ... 137 Volume of a Prism , 138 Volume of a Pyramid , ........ 189 Volume of the Frustum of a Pyramid , 139 Volume of a Sphere , 141 Volume of a Wedge , 141 Volume of a Prismoid , 144 Volumes of Regular Polyedrons , 146 ...
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 straight line joining the vertices 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 to either their ...
... polygon is a straight line joining the vertices 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 to either their ...
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Common terms and phrases
AB² ABCD AC² adjacent angles altitude angles is equal apothem base and altitude bisects centre chord circle circumference circumscribed cone consequently convex surface corresponding Cosine Cotang cylinder denote diagonals diameter distance divided draw drawn edges equally distant equilateral feet find the area formula frustum given angle given line given point greater hence homologous hypothenuse included angle interior angles intersection less Let ABC logarithm lower base mantissa mean proportional measured by half number of sides parallel parallelogram parallelopipedon perimeter perpendicular plane angles plane MN polyedral angle polyedron prism PROPOSITION proved pyramid quadrant radii radius rectangle regular polygon right angles right-angled triangle Scholium secant segment side BC similar sine slant height solution sphere spherical angle spherical polygon spherical triangle square Tang tangent THEOREM triangle ABC triangular prisms triedral angle upper base vertex vertices whence