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
... , BOOK V. Regular Polygons - Measurement of the Circle , PAGE . 9 13 20 50 50 82 8889 59 93 129 136 BOOK VI . Planes , and Polyedral Angles , 157 BOOK VII . Polyedrons ,. 178 Cylinder , Couc , and Sphere , BOOK VIII .
... , BOOK V. Regular Polygons - Measurement of the Circle , PAGE . 9 13 20 50 50 82 8889 59 93 129 136 BOOK VI . Planes , and Polyedral Angles , 157 BOOK VII . Polyedrons ,. 178 Cylinder , Couc , 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 , Arca of a Circle , Area of a Sector , ..... Area of a Segment ...
... 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 , Arca of a Circle , Area of a Sector , ..... Area of a Segment ...
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 , Volume of a Prismoid , ..... 127 128 Volumes of Regular Polyedrons , . 182 19 2 ...
... 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 , Volume of a Prismoid , ..... 127 128 Volumes of Regular Polyedrons , . 182 19 2 ...
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 OD which the polygon is supposed to stand . 25. Triangles may be classified with reference either to ...
... 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 OD which the polygon is supposed to stand . 25. Triangles may be classified with reference either to ...
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Common terms and phrases
AB² 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 straight line greater hence homologous hypothenuse included angle interior angles intersection less Let ABC log sin lower base mantissa mean proportional measured by half number of sides opposite parallel parallelogram parallelopipedon perimeter perpendicular plane MN polyedral angle polyedron prism PROPOSITION proved pyramid quadrant radii radius rectangle regular polygons right angles right-angled triangle Scholium secant segment semi-circumference side BC similar sine six right slant height sphere spherical polygon spherical triangle square Tang tangent THEOREM triangle ABC triangular prisms triedral angle upper base vertex vertices whence