An Introduction to Algebra: Being the First Part of a Course of Mathematics : Adapted to the Method of Instruction in the American CollegesHowe & Spalding, 1820 - 332 sider |
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Resultat 1-5 av 43
Side 9
... unknown quantities , in carrying on its operations . In arithmetic , all the quantities which enter into a calculation must be known . For they are expressed in numbers . And every number must necessarily be a determinate quantity ...
... unknown quantities , in carrying on its operations . In arithmetic , all the quantities which enter into a calculation must be known . For they are expressed in numbers . And every number must necessarily be a determinate quantity ...
Side 19
... unknown quantity , and discover how great it is . This is effected , by comparing it with some other quantity or quantities already known , The dimensions of a stick of timber are found , by applying to it a measuring rule of known ...
... unknown quantity , and discover how great it is . This is effected , by comparing it with some other quantity or quantities already known , The dimensions of a stick of timber are found , by applying to it a measuring rule of known ...
Side 64
... unknown quantities , by means of equations . AN EQUATION IS A PROPOSITION , Expressing in ALGEBRAIC CHARACTERS , THE EQUALITY BETWEEN ONE QUANTITY OR SET 165. A fraction sometimes occurs in the numerator or de- 10 SIMPLE EQUATIONS . 65.
... unknown quantities , by means of equations . AN EQUATION IS A PROPOSITION , Expressing in ALGEBRAIC CHARACTERS , THE EQUALITY BETWEEN ONE QUANTITY OR SET 165. A fraction sometimes occurs in the numerator or de- 10 SIMPLE EQUATIONS . 65.
Side 65
... unknown quantities , by means of equations . AN EQUATION IS A PROPOSITION , EXPRESSING IN ALGEBRAIC CHARACTERS , THE EQUALITY BETWEEN ONE QUANTITY OR SET OF QUANTITIES AND ANOTHER , OR BETWEEN DIFFERENT EX- * 10 SIMPLE EQUATIONS . 65.
... unknown quantities , by means of equations . AN EQUATION IS A PROPOSITION , EXPRESSING IN ALGEBRAIC CHARACTERS , THE EQUALITY BETWEEN ONE QUANTITY OR SET OF QUANTITIES AND ANOTHER , OR BETWEEN DIFFERENT EX- * 10 SIMPLE EQUATIONS . 65.
Side 66
... quantity . In the first statement of the conditions of a problem , the known and unknown quantities are frequent- ly thrown promiscuously together . To find the value of that which is required , it is necessary to bring it to stand by ...
... quantity . In the first statement of the conditions of a problem , the known and unknown quantities are frequent- ly thrown promiscuously together . To find the value of that which is required , it is necessary to bring it to stand by ...
Vanlige uttrykk og setninger
12 rods abscissa added algebraic antecedent applied arithmetical become binomial calculation co-efficients common difference Completing the square compound quantity consequent contain cube root cubic equation curve Divide the number dividend division divisor dollars equa errour Euclid exponents expression extracting factors fourth fraction gallons geometrical geometrical progression given quantity greater greatest common measure Hence inches infinite series inverted last term length less letters manner mathematics Mult multiplicand multiplied or divided negative quantity notation nth power nth root number of terms ordinate parallelogram perpendicular positive preceding prefixed principle Prob proportion proposition quadratic equation quan quotient radical quantities radical sign ratio reciprocal Reduce the equation remainder rule sides square root substituted subtracted subtrahend supposed supposition third tion tity Transp Transposing triangle twice unit unknown quantity varies α α
Populære avsnitt
Side 298 - If a straight line be divided into any two parts, the square of the whole line is equal to the squares of the two parts, together with twice the rectangle contained by the parts.
Side 186 - 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.
Side 199 - If three quantities are proportional, the first is to the third, as the square of the first, to the square of the second ; or as the square of the second, to the square of the third.
Side 231 - 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.
Side 203 - What two numbers are those, whose difference, sum, and product, are as the numbers 2, 3, and 5, respectively ? Ans.
Side 42 - As the product of the divisor and quotient is equal to the dividend, the quotient may be found, by resolving the dividend into two such factors, that one of them shall be the divisor. The other will, of course, be the quotient. Suppose abd is to be divided by a. The factors a and Id will produce the dividend.
Side 215 - THE EXTREMES IS EQUAL TO THE SUM OF ANY OTHER TWO TERMS EQUALLY DISTANT FROM THE EXTREMES.
Side 81 - ... of this part. At the end of the third year, his original stock was doubled. What was that stock ? Ans.
Side 237 - Divide one of the quantities by the other, and the preceding divisor by the last remainder, till nothing remains ; the last divisor will be the greatest common measure.