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Page ix
... Negative Quantities VI . Greatest Common Measure VII . Least Common Multiple VIII . Fractions PAGE · I 7 13 21 · 28 40 49 53 64 • 74 82 · 88 91 · 99 60 IX . Equations of the First Degree X. Problems which lead to Simple Equations with ...
... Negative Quantities VI . Greatest Common Measure VII . Least Common Multiple VIII . Fractions PAGE · I 7 13 21 · 28 40 49 53 64 • 74 82 · 88 91 · 99 60 IX . Equations of the First Degree X. Problems which lead to Simple Equations with ...
Page 8
... negative terms . This definition is introduced merely for the sake of brevity , and no meaning is to be given to the words positive and negative beyond what is expressed in the definition . The student will notice that terms preceded by ...
... negative terms . This definition is introduced merely for the sake of brevity , and no meaning is to be given to the words positive and negative beyond what is expressed in the definition . The student will notice that terms preceded by ...
Page 9
... negative coefficients with the sign of the greater sum and an- nexing the common letters as before . Example ; add 7a - 96 and 5b - 4a . The sum is 3a - 4b . - Again ; add 3a2 + 4bc - e2 + 10 , 5a2 + 6bc + 2e2 – 15 and 4a9bc10e2 + 21 ...
... negative coefficients with the sign of the greater sum and an- nexing the common letters as before . Example ; add 7a - 96 and 5b - 4a . The sum is 3a - 4b . - Again ; add 3a2 + 4bc - e2 + 10 , 5a2 + 6bc + 2e2 – 15 and 4a9bc10e2 + 21 ...
Page 28
... NEGATIVE QUANTITIES . 72. In Algebra we are sometimes led to a subtraction which cannot be performed because the number which should be subtracted is greater than that from which it is required to be subtracted . For instance , we have ...
... NEGATIVE QUANTITIES . 72. In Algebra we are sometimes led to a subtraction which cannot be performed because the number which should be subtracted is greater than that from which it is required to be subtracted . For instance , we have ...
Page 29
... the language of ordinary life , but if the algebraist understands it and uses it consistently and logically his deductions from it will be sound . 76. There are numerous instances like the preceding in which NEGATIVE QUANTITIES . 29.
... the language of ordinary life , but if the algebraist understands it and uses it consistently and logically his deductions from it will be sound . 76. There are numerous instances like the preceding in which NEGATIVE QUANTITIES . 29.
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Common terms and phrases
7th term a+b+c arithmetic mean arithmetical ax² Binomial Theorem black balls chance cloth coefficient common contains continued fraction convergent Crown 8vo denote digits divided divisible divisor equal event example expansion Extract the square factors Fcap Find the number Geometrical Progression greater than unity Hence least common multiple less than unity letters logarithm miles multiply negative quantity number of combinations number of terms obtain occur P₁ positive integers positive quantity preceding article prime number probability problem quadratic equation quadratic surd quotient radix ratio recurring decimal remainder result scale shew shillings Similarly solution square number square root subtraction suppose supposition surd things taken trial unknown quantities white balls whole number
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