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 25
Side 1
... measured , by apply- ing to it another line , as a foot , a yard , or an ell . Weight is a quantity , which can be measured , in pounds , ounces , and grains . Time is a species of quantity , whose measure can be expressed , in hours ...
... measured , by apply- ing to it another line , as a foot , a yard , or an ell . Weight is a quantity , which can be measured , in pounds , ounces , and grains . Time is a species of quantity , whose measure can be expressed , in hours ...
Side 2
... measuring of land ; in Optics , to the properties of light ; and in Astronomy , to the motions of the heavenly bodies . 8. The science of the pure mathematics has long been distinguished , for the clearness and distinctness of its ...
... measuring of land ; in Optics , to the properties of light ; and in Astronomy , to the motions of the heavenly bodies . 8. The science of the pure mathematics has long been distinguished , for the clearness and distinctness of its ...
Side 5
... measuring , dividing , and laying out grounds , taking the eleva- tion of hills , and fixing the boundaries of fields , estates , and public territories : in Mechanics , for understanding the laws of motion , the composition of forces ...
... measuring , dividing , and laying out grounds , taking the eleva- tion of hills , and fixing the boundaries of fields , estates , and public territories : in Mechanics , for understanding the laws of motion , the composition of forces ...
Side 13
... measure of another , when the former is contained in the latter , any number of times , without a remainder . Thus 36 is a measure of 156 : and 7 is a measure of 35 . * For the notation of powers and roots , see the sections on those ...
... measure of another , when the former is contained in the latter , any number of times , without a remainder . Thus 36 is a measure of 156 : and 7 is a measure of 35 . * For the notation of powers and roots , see the sections on those ...
Side 19
... measuring rule of known length . The weight of a body is ascertained , by placing it in one scale of a balance , and observing how many pounds in the opposite scale , will equal it . And any quantity is determined , when it is found to ...
... measuring rule of known length . The weight of a body is ascertained , by placing it in one scale of a balance , and observing how many pounds in the opposite scale , will equal it . And any quantity is determined , when it is found to ...
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.