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 |
Inni boken
Resultat 1-5 av 33
Side 1
... half as great as another . The operations of the mind , such as thought , choice , desire , ha- tred , & c . are not quantities . They are incapable of mensu- ration . * 2. Those parts of the Mathematics , on which all the others . are ...
... half as great as another . The operations of the mind , such as thought , choice , desire , ha- tred , & c . are not quantities . They are incapable of mensu- ration . * 2. Those parts of the Mathematics , on which all the others . are ...
Side 42
... half a rod long . In the other case , if the divisor is less than the dividend , the former shows into what parts the latter is to be divided ; and the quotient shows how many of these parts are contain- ed in the dividend . In other ...
... half a rod long . In the other case , if the divisor is less than the dividend , the former shows into what parts the latter is to be divided ; and the quotient shows how many of these parts are contain- ed in the dividend . In other ...
Side 45
... be con- venient to exchange one of these forms of expression for the other . b + c b C Thus b + c divided by x , is either or " XC Ꮖ a + b And a + b divided by 2 , is either that is , half the 2 b a sum of a and b ; or 2 DIVISION . 45.
... be con- venient to exchange one of these forms of expression for the other . b + c b C Thus b + c divided by x , is either or " XC Ꮖ a + b And a + b divided by 2 , is either that is , half the 2 b a sum of a and b ; or 2 DIVISION . 45.
Side 46
... half a and half b . For it is evident that half the sum of two or more quantities , is equal to the sum of their halves . And the same principle is applicable , to a third , fourth , fifth , or any other portion of the dividend . a ...
... half a and half b . For it is evident that half the sum of two or more quantities , is equal to the sum of their halves . And the same principle is applicable , to a third , fourth , fifth , or any other portion of the dividend . a ...
Side 48
... half that dividend , half as many times ; In one third of the dividend , one third as many times , & c . That is , if the divisor remains the same , dividing the divi- dend by any other quantity , is , in effect , dividing the quotient ...
... half that dividend , half as many times ; In one third of the dividend , one third as many times , & c . That is , if the divisor remains the same , dividing the divi- dend by any other quantity , is , in effect , dividing the quotient ...
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.