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 7
... adding the numbers together . In Geometry , a quantity may be given , either in position , or magnitude , or both . A line is given in position , when its situation and direction are known.- It is given in magnitude , when its length is ...
... adding the numbers together . In Geometry , a quantity may be given , either in position , or magnitude , or both . A line is given in position , when its situation and direction are known.- It is given in magnitude , when its length is ...
Página 13
... added ; the latter , to those which are to be subtracted . Thus a + b signifies that b is to be added to a . If a stands for 10 , and b , for 6 ; then a + b is 16. It is read a plus b , or a added to b , or a and b . If the expression ...
... added ; the latter , to those which are to be subtracted . Thus a + b signifies that b is to be added to a . If a stands for 10 , and b , for 6 ; then a + b is 16. It is read a plus b , or a added to b , or a and b . If the expression ...
Página 15
... added . The sum of c and d , subtracted from the sum of a and b , is a + b c + d . The marks used for parentheses , ( ) are often substituted , instead of a line , for a vinculum . Thus , x ( a + c ) is the - same as x a + c . The ...
... added . The sum of c and d , subtracted from the sum of a and b , is a + b c + d . The marks used for parentheses , ( ) are often substituted , instead of a line , for a vinculum . Thus , x ( a + c ) is the - same as x a + c . The ...
Página 18
... added . to 15 times h . Ans . a b c cod = b + c + 15h . 2. The product of the difference of a and h into the sum of b , c , and d , is equal to 37 times m , added to the quotient of b divided by the sum of h and b . Ans . 3. The sum of ...
... added . to 15 times h . Ans . a b c cod = b + c + 15h . 2. The product of the difference of a and h into the sum of b , c , and d , is equal to 37 times m , added to the quotient of b divided by the sum of h and b . Ans . 3. The sum of ...
Página 21
... added together , while others are sub- tracted . The former are called affirmative or posi- tive , and are marked with the sign + ; the latter are termed negative , and distinguished by the sign If , for instance , the profits of trade ...
... added together , while others are sub- tracted . The former are called affirmative or posi- tive , and are marked with the sign + ; the latter are termed negative , and distinguished by the sign If , for instance , the profits of trade ...
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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...