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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Side
... necessary to state every proposition and its proof , with all the formality which is so strictly adhered to by Euclid ; as it is not essential to a logical argument , that it be expressed in regular and entire syllogisms . A PREFACE .
... necessary to state every proposition and its proof , with all the formality which is so strictly adhered to by Euclid ; as it is not essential to a logical argument , that it be expressed in regular and entire syllogisms . A PREFACE .
Side
... necessary . also a new language to learn , at the same time he is settling the principles upon which his future inquiries are to be con- ducted . These principles ought to be established , in the most clear and satisfactory manner which ...
... necessary . also a new language to learn , at the same time he is settling the principles upon which his future inquiries are to be con- ducted . These principles ought to be established , in the most clear and satisfactory manner which ...
Side 3
... necessary to resort to indirect demonstration ; which is a method of estab- lishing a proposition , by proving that to suppose it not true , would lead to an absurdity . This is frequently called reduc- tio ad absurdum . Thus , in ...
... necessary to resort to indirect demonstration ; which is a method of estab- lishing a proposition , by proving that to suppose it not true , would lead to an absurdity . This is frequently called reduc- tio ad absurdum . Thus , in ...
Side 5
... necessary , in mercantile transac- tions , for keeping , arranging , and settling accounts , adjusting the prices of commodities , and calculating the profits of trade : in Navigation , for directing the course of a ship on the ocean ...
... necessary , in mercantile transac- tions , for keeping , arranging , and settling accounts , adjusting the prices of commodities , and calculating the profits of trade : in Navigation , for directing the course of a ship on the ocean ...
Side 14
... necessary also , to be able to reverse what is done in the preceding examples , that is , to translate the algebraic signs into common language . What will the following expressions become , when words are substituted for the signs ? 1 ...
... necessary also , to be able to reverse what is done in the preceding examples , that is , to translate the algebraic signs into common language . What will the following expressions become , when words are substituted for the signs ? 1 ...
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.