# Mathematical Dictionary and Cyclopedia of Mathematical Science Comprising Definitions of All the Terms Employed in Mathematics -: An Analysis of Each Branch, and of the Whole, as Forming a Single Science

A. S. Barnes, 1859 - Mathematics - 592 pages

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Page 85 - A Circle is a plane figure bounded by a curved line every point of which is equally distant from a point within called the center.
Page 519 - A sphere is a solid bounded by a curved surface, every point of which is equally distant from a point within called the center.
Page 275 - If two triangles have the three sides of the one equal to the three sides of the other, each to each, the triangles are congruent.
Page 80 - Then multiply the second and third terms together, and divide the product by the first term: the quotient will be the fourth term, or answer.
Page 274 - In any right-angled triangle, the square described on the hypotenuse is equal to the sum of the squares described upon the other two sides.
Page 337 - The logarithm of a number is the exponent of the power to which it is necessary to raise a fixed number, in order to produce the first number.
Page 148 - Similar cylinders are to each other as the cubes of their altitudes, or as the cubes of the diameters of their bases.
Page 562 - ... triangles are to each other as the products of their bases by their altitudes.
Page 584 - A zone is a portion of the surface of a sphere included between two parallel planes.
Page 520 - The volumes of two spheres are to each other as the cubes of their radii, or as the cubes of their diameters.