The Rational Arithmetic: In which the Science is Fully Developed, the Art Clearly Explained, and Both Combined in Numerous Illustrations ... to which is Added a Key

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T. Billings, 1847 - Arithmetic - 330 pages
 

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Page 219 - Multiply each payment by its term of credit, and divide the sum of the products by the sum of the payments ; the quotient will be the average term of credit.
Page 175 - The first and fourth terms of a proportion are called the extremes, and the second and third terms, the means. Thus, in the foregoing proportion, 8 and 3 are the extremes and 4 and 6 are the means.
Page 264 - The lateral area of a frustum of a regular pyramid is one half the product of the slant height and the sum of the perimeters of the bases.
Page 167 - The RATIO of one quantity to another of the same kind is the quotient arising' from dividing the first quantity by the second.
Page 158 - A pile of wood 8 feet long, 4 feet wide, and 4 feet high, contains 1 cord ; and a cord foot is 1 foot in length of such a pile.
Page 262 - The Diameter of a circle is a straight line passing through the centre, and terminating at both ends in the circumference.
Page 183 - If 6 men in 16 days of 9 hours each build a wall 20 feet long, 6 feet high, and 4 feet thick, in how many days of...
Page 266 - Ans. 41° 24' 35"; 55° 46' 16"; and 82° 49' 09". SOLUTION OF RIGHT•ANGLED TRIANGLES. 34. The unknown parts of a right•angled triangle may be found by either of the four last cases ; or, if two of the sides are given, by means of the property that the square of the hypothenuse is equivalent to the sum of the squares of the two other sides. Or the parts may be found by Theorems IV. and V. EXAMPLES. 1. In a right•angled triangle BAC, there are given the hypothenuse 5(7=250, and the base AC=...
Page 222 - RULE. Multiply each quantity by its price, and divide the sum of the products by the sum of the quantities.
Page 250 - The first term, the last term, and the number of terms being given, to find the sum of all the terms. RULE. Multiply the sum of the extremes by the number of terms/ and half the product will be the answer.

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