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 |
Dentro del libro
Resultados 1-5 de 85
Página 5
... given to the geometrical part , a degree of clearness and precision which would be very desirable , but is hardly to be expected , in algebra . For the reasons which have been mentioned , the manner in which the following pages are ...
... given to the geometrical part , a degree of clearness and precision which would be very desirable , but is hardly to be expected , in algebra . For the reasons which have been mentioned , the manner in which the following pages are ...
Página 7
... given , in this introduction , are most of them comprehensive ; but they are explained and applied , in subordinate articles . A particular demonstration is sometimes substituted for a general one , when the application of the principle ...
... given , in this introduction , are most of them comprehensive ; but they are explained and applied , in subordinate articles . A particular demonstration is sometimes substituted for a general one , when the application of the principle ...
Página 7
... given by supposition , that is , by the conditions of the problem . A quantity is also said to be given , when it may be directly and easily inferred , from something else which is given . Thus , if two numbers are giv- en , their sum is ...
... given by supposition , that is , by the conditions of the problem . A quantity is also said to be given , when it may be directly and easily inferred , from something else which is given . Thus , if two numbers are giv- en , their sum is ...
Página 7
... given ; and the equality of the angles , inferred : in the second , the equality of the angles is given , and the equality of the sides inferred . In ma- ny instances , a proposition and its converse are both true ; as in the preceding ...
... given ; and the equality of the angles , inferred : in the second , the equality of the angles is given , and the equality of the sides inferred . In ma- ny instances , a proposition and its converse are both true ; as in the preceding ...
Página 16
... given quantity . Thus 3 ab may be resolved into the two factors 3a and b be- cause 3a x bis 3ab . And 5 amn may be resolved into the three factors 5 a , and m , and n ; because 5 a x m x n is 5amn . And 48 may be resolved , into the two ...
... given quantity . Thus 3 ab may be resolved into the two factors 3a and b be- cause 3a x bis 3ab . And 5 amn may be resolved into the three factors 5 a , and m , and n ; because 5 a x m x n is 5amn . And 48 may be resolved , into the two ...
Otras ediciones - Ver todas
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...