A Treatise of Practical Arithmetic

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R. Patterson and Lambdin, 1819 - Arithmetic - 156 pages

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Page 148 - Prove that if any number of quantities be in continued proportion, as one of the antecedents is to its consequent so is the sum of all the antecedents to the sum of all the consequents.
Page 146 - 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 85 - A Circle is a plane figure bounded by a curve line, called the Circumference, which is everywhere equidistant from a certain point within, called its Centre.
Page 96 - In that case the line determined by the vertex and the center of the base is called the axis of the cone. If...
Page 124 - RULE. —As the distance between the threads of the screto is to the circumference of the circle described by the power, so is the power to the weight to be raised.
Page 5 - ... root from the first period, and to the remainder annex the next period for a dividend.
Page 11 - 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 99 - ... Multiply the cube of the diameter by .5236, and the product will be the solidity.
Page 84 - In a right-angled triangle, the side opposite to the right angle is called the hypotenuse, and the other two sides, the base and perpendicular, according to their position. In the diagram the three squares are described on the outer sides of the triangle ABC.

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