Higher Arithmetic, Or, the Science and Application of Numbers: Combining the Analytic and Synthetic Modes of Instruction, Designed for Advanced Classes in Schools and Academies

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Ivison, Phinney & Company, 1862 - Arithmetic - 422 pages
 

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Page 371 - The square described on the hypothenuse of a rightangled triangle is equal to the sum of the squares described on the other two sides.
Page 336 - X 5'" = 20"'". Hence the RULE. I. Write the several terms of the multiplier under the corresponding terms of the multiplicand. II. Multiply each term of the multiplicand by each term of the multiplier...
Page 113 - To reduce a mixed number to an improper fraction. Multiply the whole number by the denominator of the fraction, and to the product add the given numerator.
Page 394 - These are usually accounted six in number, viz. the Lever, the Wheel and Axle, the Pulley, the Inclined Plane, the Wedge, and the Screw.
Page 66 - The number to be divided is called the dividend. The number by which we divide is called the divisor.
Page 110 - If the numerator and denominator of each fraction is multiplied (or divided) by the same number, the value of the fraction will not change.
Page 71 - ... if the divisor is not contained in any figure of the dividend, place a cipher in the quotient and prefix this figure to the next one of the dividend, as if it were a remainder.
Page 107 - When a number or thing is divided into two equal parts, one of these parts is called one half. If the number or thing is divided into three equal parts, one of the parts is called one third ; if...
Page 20 - I, denotes one; V, five ; X, ten ; L, fifty ; C, one hundred ; D, five hundred ; M, one thousand.
Page 381 - When there is a series of quantities, such that the ratios of the first to the second, of the second to the third, of the third to the fourth, &c., are all equal ; the quantities are said to be in continued proportion.

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