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 30
Side 2
... length . A surface is a magnitude , having length and breadth . A solid is a magnitude , having length , breadth , and thickness . But motion , though a quan- tity , is not , strictly speaking , a magnitude . It has neither length ...
... length . A surface is a magnitude , having length and breadth . A solid is a magnitude , having length , breadth , and thickness . But motion , though a quan- tity , is not , strictly speaking , a magnitude . It has neither length ...
Side 4
... length is known . A circle is given in position , when the place of its centre is known . It is given in magnitude , when the length of its diameter is known . 18. One proposition is contrary , or contradictory to anoth- er , when ...
... length is known . A circle is given in position , when the place of its centre is known . It is given in magnitude , when the length of its diameter is known . 18. One proposition is contrary , or contradictory to anoth- er , when ...
Side 19
... 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 be equal to some 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 be equal to some known ...
Side 80
... length of the post ? Ans . 35 feet . Prob . 22. What number is that , to which 10 being added , of the sum will be 66 ? Prob . 23. Of the trees in an orchard , are apple trees , pear trees , and the remainder peach trees , which are 20 ...
... length of the post ? Ans . 35 feet . Prob . 22. What number is that , to which 10 being added , of the sum will be 66 ? Prob . 23. Of the trees in an orchard , are apple trees , pear trees , and the remainder peach trees , which are 20 ...
Side 82
... lengths , were bought , the one for five pounds , the other for 6. If 10 be added to the length of each , the sums will be as 5 to 6. Required the length of each piece . What Prob . 38. A and B began trade with equal sums of mon- ey ...
... lengths , were bought , the one for five pounds , the other for 6. If 10 be added to the length of each , the sums will be as 5 to 6. Required the length of each piece . What Prob . 38. A and B began trade with equal sums of mon- ey ...
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.