The elements of algebra1857 |
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Page 5
... proved , the example is deferred to Art . 38 . 18. To reduce a fraction to lower terms . RULE . Whenever the numerator and denominator of a fraction have a common measure , that is , a number which di- vides each of them without ...
... proved , the example is deferred to Art . 38 . 18. To reduce a fraction to lower terms . RULE . Whenever the numerator and denominator of a fraction have a common measure , that is , a number which di- vides each of them without ...
Page 28
... . and express the result as the decimal of £ 1 . Ans . 3s . 6d . or £ 0 175 . 22. Prove that 0-304565321 is more nearly represented by 0-30457 than by 0.30456 . THE ELEMENTS OF ALGEBRA . DEFINITIONS AND EXPLANATION OF SIGNS 28 EXAMPLES .
... . and express the result as the decimal of £ 1 . Ans . 3s . 6d . or £ 0 175 . 22. Prove that 0-304565321 is more nearly represented by 0-30457 than by 0.30456 . THE ELEMENTS OF ALGEBRA . DEFINITIONS AND EXPLANATION OF SIGNS 28 EXAMPLES .
Page 31
... a ÷ b , but it requires to be a b proved . It was shewn to be true in a particular case in Art . 11. The general proof will be given hereafter . ED . thus axby cd + ad signifies that the quantity axby DEFINITIONS . 31.
... a ÷ b , but it requires to be a b proved . It was shewn to be true in a particular case in Art . 11. The general proof will be given hereafter . ED . thus axby cd + ad signifies that the quantity axby DEFINITIONS . 31.
Page 38
... proved thus : - Let a , b , c represent any Algebraical quantities , simple or compound , of which b + c is to be subtracted from a ; this will be expressed by a− ( b + c ) . Now if from a the portion b be taken , the result is a - b ...
... proved thus : - Let a , b , c represent any Algebraical quantities , simple or compound , of which b + c is to be subtracted from a ; this will be expressed by a− ( b + c ) . Now if from a the portion b be taken , the result is a - b ...
Page 40
... proved ; a - a = 0 , multiply these equals by b , then ab together with axb must be equal to bx0 , or nothing ; therefore a multiplied by b must give -ab , a quantity which when added to ab ... prove generally that a TM × 40 MULTIPLICATION .
... proved ; a - a = 0 , multiply these equals by b , then ab together with axb must be equal to bx0 , or nothing ; therefore a multiplied by b must give -ab , a quantity which when added to ab ... prove generally that a TM × 40 MULTIPLICATION .
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Common terms and phrases
according added algebraical amount annuity appears applied assume becomes binomial called cent chance coefficient combinations common common measure Comp compound contain continued convergent cube decimal denominator determined difference digits divided divisible divisor Edition equal equation EXERCISES expansion expressed Extract factors figures Find the value former four fraction given greater greatest happen Hence History hour increased integer interest latter least less manner means method miles multiplied negative obtained operation paid person places positive Present prime probability Progression proportion proposed prove quantity quotient ratio reduced remainder represented respectively result rule scale shew shillings side simple solution square root subtracted suppose surd taken things third true unit unknown quantities varies vols whole number
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