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

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A.S. Barnes & Company, 1865 - Mathematics - 592 pages
 

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Page 61 - 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 201 - 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 201 - If two triangles have two sides, and the included angle of the one equal to two sides and the included angle of the other, they are equal in all their parts.
Page 335 - Four quantities are in proportion when the ratio of the first to the second is equal to the ratio of the third to the fourth.
Page 398 - Multiply the divisor, thus augmented, by the last figure of the root, and subtract the product from the dividend, and to the remainder bring down the next period for a new dividend.
Page 142 - Divide the coefficient of the dividend by the coefficient of the divisor.
Page 62 - The areas of two circles are to each other as the squares of their radii ; or, as the squares of their diameters. 502. Corollary — When the radius is unity, the area is expressed by ;r. 503. Theorem — The area of a sector is measured by half the product of its arc by its radius.
Page 398 - Note the. greatest square contained in the period on the left, and place its root on the right after the manner of a quotient in division. Subtract the square of this root from the first period, and to the remainder bring down the second period for a dividend.
Page 269 - To multiply a polynomial by a monomial, multiply each term of the polynomial by the monomial and add the partial products: (6a — 3ft) x 3c = 18uc -96c.
Page 201 - If two right-angled triangles have the hypothenuse and a side of the one, equal to the hypothenuse and a side of the other, each to each, the triangles are equal. Let...

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