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 9
... LINES , SURFACES , VOLUMES , and ANGLES . These are called GEOMETRICAL MAGNITUDES . Since the unit of measure of a ... straight line and curve . The operations to be performed upon the quantities , and the rela tions between them , are ...
... LINES , SURFACES , VOLUMES , and ANGLES . These are called GEOMETRICAL MAGNITUDES . Since the unit of measure of a ... straight line and curve . The operations to be performed upon the quantities , and the rela tions between them , are ...
Page 13
... line , alone , is commonly used for straight line ; and the word curve , alone , for curved line . 6. A line made up of straight lines , not lying in the same direction , is called a broken line . 7. A SURFACE is that which has length ...
... line , alone , is commonly used for straight line ; and the word curve , alone , for curved line . 6. A line made up of straight lines , not lying in the same direction , is called a broken line . 7. A SURFACE is that which has length ...
Page 14
... straight line , that line will lie wholly in the surface . 9. A CURVED SURFACE is a surface which is neither a plane nor composed of planes . 10. A PLANE ANGLE is the amount of divergence of two straight lines lying in the same plane ...
... straight line , that line will lie wholly in the surface . 9. A CURVED SURFACE is a surface which is neither a plane nor composed of planes . 10. A PLANE ANGLE is the amount of divergence of two straight lines lying in the same plane ...
Page 15
... straight lines are parallel , when they lie in the same plane and can not meet , how far soever , either way , both ... line , made up of all the sides of the polygon , is called the perimeter of the polygon . The angles formed by the ...
... straight lines are parallel , when they lie in the same plane and can not meet , how far soever , either way , both ... line , made up of all the sides of the polygon , is called the perimeter of the polygon . The angles formed by the ...
Page 16
... 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 sides , or ...
... 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 sides , or ...
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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