Elements of Geometry and Trigonometry |
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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 sometimes 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 sometimes 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 either to 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 either to their sides , or ...
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Common terms and phrases
ABCD ACē 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 line given point greater hence homologous hypothenuse included angle interior angles intersection less Let ABC log sin logarithm lower base mantissa mean proportional measured by half middle point number of sides opposite parallel parallelogram parallelopipedon perimeter perpendicular plane MN polyedral angle polyedron prism PROBLEM PROPOSITION proved pyramid quadrant radii radius rectangle regular polygons right angles right-angled triangle Scholium secant segment side BC similar sine slant height sphere spherical polygon spherical triangle square Tang tangent THEOREM triangle ABC triangular prisms triedral angle upper base vertex vertices whence