An Introduction to Algebra: Being the First Part of a Course of Mathematics, Adapted to the Method of Instruction in the American CollegesHowe & Deforest, 1814 - 303 páginas |
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Página 180
... inch , for one is twelve times as great as the other . But it can not be said that an hour is either longer or shorter than a rod ; or that an acre is greater or less than a degree . Still , if these quantities are expressed by numbers ...
... inch , for one is twelve times as great as the other . But it can not be said that an hour is either longer or shorter than a rod ; or that an acre is greater or less than a degree . Still , if these quantities are expressed by numbers ...
Página 265
... inches . The mul- tiplicand will then be repeated , as many times , as there are units in the multiplier . If , for instance , one of the lines be a foot long , and the other , half a foot ; the factors will be , one 12 inches , and the ...
... inches . The mul- tiplicand will then be repeated , as many times , as there are units in the multiplier . If , for instance , one of the lines be a foot long , and the other , half a foot ; the factors will be , one 12 inches , and the ...
Página 266
... inches long , and three inches wide ; the area or surface is said to be equal to the product of 5 in- to 3 , that is , to the number of inches in AB , multiplied by the number in BC . But the inches in the lines AB and BČ are linear ...
... inches long , and three inches wide ; the area or surface is said to be equal to the product of 5 in- to 3 , that is , to the number of inches in AB , multiplied by the number in BC . But the inches in the lines AB and BČ are linear ...
Página 267
... inches in the breadth BC . It is therefore said con- cisely , that the area of the parallelogram is equal to the ... inch , foot , rod , or other measuring unit ; and let b and I be two of its sides . Also , let A be the area of any ...
... inches in the breadth BC . It is therefore said con- cisely , that the area of the parallelogram is equal to the ... inch , foot , rod , or other measuring unit ; and let b and I be two of its sides . Also , let A be the area of any ...
Página 269
... inches in the parallelogram ABCD ( Fig . 3. ) whose breadth BC is 3 inches , be divided by 3 ; the quotient will be a parallelogram ABEF , one inch wide , and of the same length with the larger one . But the length of the small ...
... inches in the parallelogram ABCD ( Fig . 3. ) whose breadth BC is 3 inches , be divided by 3 ; the quotient will be a parallelogram ABEF , one inch wide , and of the same length with the larger one . But the length of the small ...
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Términos y frases comunes
12 rods abscissa added algebraic antecedent applied arithmetic become binomial calculation called Clearing of fractions co-efficients Completing the square compound quantity consequent cube root cubic equation curve demonstration denominator diminished dividend division divisor dollars equa equal quantities errour Euclid exponents expressed Extracting and transp factors fourth geometrical geometrical progression given quantity greater Hence inches infinite series inverted involution last term less letters manner mathematics Mult multiplicand negative quantity notation nth power nth root number of terms ordinate parallelogram perpendicular positive prefixed principle Prob Prod proportion proposition quadratic equation quan quotient radical quantities radical sign ratio reciprocal Reduce the equation remainder rule SECTION sides square root substituted subtracted subtrahend supposed supposition theorem third tion tity Transposing transposition triangle twice uniting terms unknown quantity varies vulgar fraction whole
Pasajes populares
Página 214 - In an arithmetical progression, the sum of the extremes is equal to the sum of any other two terms equally distant from the extremes.
Página 188 - Conversely, if the product of two quantities is equal to the product of two other quantities, the first two may be made the extremes, and the other two the means of a proportion.
Página 265 - The operation consists in repeating the multiplicand as many times as there are units in the multiplier.
Página 227 - Divide the first term of the dividend by the first term of the divisor, and write the result as the first term of the quotient.
Página 189 - If four quantities are proportional, THE ORDER OF THE MEANS, OR OF THE EXTREMES, OR OF THE TERMS OF BOTH COUPLETS, MAY BE INVERTED, WITHOUT DESTROYING THE PROPORTION.
Página 40 - We have seen that multiplying by a whole number, is taking the multiplicand as many times as there are units in the multiplier.
Página 85 - If four magnitudes are in proportion, the product of the two extremes is equal to the product of the two means.
Página 187 - 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.
Página 60 - The Value of a fraction is the quotient of the numerator divided by the denominator.
Página 61 - ... produce the same effect on the value of the fraction, as multiplying the numerator. In all cases...