Elements of Algebra: Being an Abridgment of Day's Algebra, Adapted to the Capacities of the Young, and the Method of Instruction, in Schools and AcademiesDurrie & Peck, 1844 - 252 σελίδες |
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Σελίδα v
... completing the square in qua- dratic equations has been demonstrated ; and other methods of completing the square pointed out , which , so far as the author knows , are original . This It was a cardinal point with the distinguished ...
... completing the square in qua- dratic equations has been demonstrated ; and other methods of completing the square pointed out , which , so far as the author knows , are original . This It was a cardinal point with the distinguished ...
Σελίδα xi
... completing the Square , Second method of completing the Square , Demonstration of the second method , & c . , Other methods of completing the Square pointed out , General Rule for reducing Quadratic Equations , SECTION XI . 144 146 150 ...
... completing the Square , Second method of completing the Square , Demonstration of the second method , & c . , Other methods of completing the Square pointed out , General Rule for reducing Quadratic Equations , SECTION XI . 144 146 150 ...
Σελίδα 123
... squares of binomial and residual quantities , which it will be proper to attend to in this place . The square of a + b , for instance , is a2 + 2ab + b2 , two terms of which , a2 and b2 , are complete powers , and 2ab is twice the ...
... squares of binomial and residual quantities , which it will be proper to attend to in this place . The square of a + b , for instance , is a2 + 2ab + b2 , two terms of which , a2 and b2 , are complete powers , and 2ab is twice the ...
Σελίδα 124
... complete powers , are x2 and 1 . The roots are x and 1. ( Art . 204. ) Then x + 1 . Ans . 2. Find the square root of x2-2x + 1 . ( Art . 173. ) 3. Find the square root of a2 + a + i . 4. Find the square root of a2 + a + } · 5. Find the ...
... complete powers , are x2 and 1 . The roots are x and 1. ( Art . 204. ) Then x + 1 . Ans . 2. Find the square root of x2-2x + 1 . ( Art . 173. ) 3. Find the square root of a2 + a + i . 4. Find the square root of a2 + a + } · 5. Find the ...
Σελίδα 152
... square of that quantity in another term . The unknown quantity may be ... complete square . The two terms of which it is composed , are indeed such as ... complete powers , and the other is twice the product of the roots of these powers ...
... square of that quantity in another term . The unknown quantity may be ... complete square . The two terms of which it is composed , are indeed such as ... complete powers , and the other is twice the product of the roots of these powers ...
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Elements of Algebra: Being an Abridgment of Day's Algebra, Adapted to the ... James Bates Thomson,Jeremiah Day Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2016 |
Συχνά εμφανιζόμενοι όροι και φράσεις
3d power 4th power added algebraic antecedent arithmetical binomial BINOMIAL THEOREM changing the sign co-efficient common denominator common difference common index completing the square compound quantities contains cube root denoted Divide the number dividend division divisor dollars equal factors equal quantities EXAMPLES FOR PRACTICE expressed Find the nth Find the square find the value find two numbers following GENERAL RULE gallons geometrical geometrical progression given quantity greater Hence improper fraction integer inverted involution last term less letter merator Mult multiplicand negative quantity nth root number of terms numerator and denominator positive Prob proportion quadratic equation quan QUEST QUEST.-How QUEST.-What quotient radical quantities radical sign ratio Reduce the equation remainder Required the cube Required the nth sides sign prefixed square root Substitute subtracted subtrahend third tion tity Transposing twice unit unknown quantity whole
Δημοφιλή αποσπάσματα
Σελίδα 51 - 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. Multiply the whole divisor by the first term of the quotient, and subtract the product from the dividend.
Σελίδα 210 - It is evident that the terms of a proportion may undergo any change which will not destroy the equality of the ratios ; or which will leave the product of the means equal to the product of the extremes.
Σελίδα 198 - When there is a series of quantities, such that the ratios of the first to the second, of the second to the third, of the third to the fourth, &c.
Σελίδα 232 - After remarking that the mathematician positively knows that the sum of the three angles of a triangle is equal to two right angles...
Σελίδα 21 - One quantity is said to be a multiple of another, when the former contains the latter a certain number of times without a remainder.
Σελίδα 228 - There are four numbers in geometrical progression, the second of which is less than the fourth by 24 ; and the sum of the extremes is to the sum of the means, as 7 to 3. What are the numbers ? Ans.
Σελίδα 60 - RULE. Multiply all the numerators together for a new numerator, and all the denominators for a new denominator: then reduce the new fraction to its lowest terms.
Σελίδα 35 - MULTIPLYING BY A WHOLE NUMBER is TAKING THE MULTIPLICAND AS MANY TIMES, AS THERE ARE UNITS IN THE MULTIPLIER.
Σελίδα 112 - II. Divide the greater number by the less and the preceding divisor by the last remainder till nothing remains. The last divisor is the...
Σελίδα 45 - 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 factor a and bd will produce the dividend. The first of these, being a divisor, may be set aside.