High School Algebra: Advanced Course |
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Page iv
... called to the following points : The scientific treatment of axioms in Chapter I. The clear and simple treatment of equivalent equations in Chapter III . The discussion by formula , as well as by graph , of incon- sistent and dependent ...
... called to the following points : The scientific treatment of axioms in Chapter I. The clear and simple treatment of equivalent equations in Chapter III . The discussion by formula , as well as by graph , of incon- sistent and dependent ...
Page 1
... called the uniqueness axiom of addition . 3. If ac and b = c then ab , since the given equations assert that a is the same number as b . Hence the usual state- ment : If each of two numbers is equal to the same number , they are equal ...
... called the uniqueness axiom of addition . 3. If ac and b = c then ab , since the given equations assert that a is the same number as b . Hence the usual state- ment : If each of two numbers is equal to the same number , they are equal ...
Page 2
... called the commutative law of addition , since it asserts that numbers to be added may be commuted or interchanged in order . Definition . Numbers which are to be added are called addends . 5. In adding three numbers such as 5 , 6 , and ...
... called the commutative law of addition , since it asserts that numbers to be added may be commuted or interchanged in order . Definition . Numbers which are to be added are called addends . 5. In adding three numbers such as 5 , 6 , and ...
Page 3
... called subtraction . b is the minuend , a the subtrahend , and c the remainder . This operation is also indicated thus , bac . If a + c = a , then the number c is called zero , and is written 0. That is , a + 0 = a , or a а 0 ...
... called subtraction . b is the minuend , a the subtrahend , and c the remainder . This operation is also indicated thus , bac . If a + c = a , then the number c is called zero , and is written 0. That is , a + 0 = a , or a а 0 ...
Page 4
... called the associative law of factors in multiplication . Principles III and XV of E. C. follow from Axioms VI and VII . 10. Another law for all numbers of algebra is enunciated as Axiom VIII . The product of the sum or difference of ...
... called the associative law of factors in multiplication . Principles III and XV of E. C. follow from Axioms VI and VII . 10. Another law for all numbers of algebra is enunciated as Axiom VIII . The product of the sum or difference of ...
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HIGH SCHOOL ALGEBRA H. E. (Herbert Ellsworth) 1861 Slaught,N. J. (Nels Johann) 1874 Lennes No preview available - 2016 |
Common terms and phrases
a²b a²b² a³b ab² ab³ added altitude arithmetic means arithmetic progression ax² Axiom binomial binomial formula called Clearing of fractions coefficients common factor commutative law corresponding cube root curve decimal denominator digits divided division divisor E. C. Proof Elementary Course equal numbers equivalent EXERCISES Find EXERCISES Solve Find the H. C. F. Find the numbers formula geometric means geometric progression given graph harmonic means harmonic progression Hence identity inches indicated operations integers letter logarithm lower base monomial multiplying negative number obtained pairs of equations points polynomial positive integers problem quadratic quotient radical expression radicand rational reduced satisfied solution square root Substituting subtraction theorem tion trapezoid trinomial unknown upper base values variables x-axis x²y² xy³ zero