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Page ix
... 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 one Un- known Quantity • XI . Simultaneous ...
... 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 one Un- known Quantity • XI . Simultaneous ...
Page 30
... measured to the north of a certain starting - point from a distance measured to the south of it ; and so on . These pairs of related magnitudes the algebraist distinguishes by means of the signs + and − . Thus if , as in Article 75 ...
... measured to the north of a certain starting - point from a distance measured to the south of it ; and so on . These pairs of related magnitudes the algebraist distinguishes by means of the signs + and − . Thus if , as in Article 75 ...
Page 40
... MEASURE . 105. In Arithmetic the greatest common measure of two or more whole numbers is the greatest number which will divide each of them without remainder ... measure . The 40 CHAPTER V. MISCELLANEOUS EXAMPLES . Greatest Common Measure.
... MEASURE . 105. In Arithmetic the greatest common measure of two or more whole numbers is the greatest number which will divide each of them without remainder ... measure . The 40 CHAPTER V. MISCELLANEOUS EXAMPLES . Greatest Common Measure.
Page 41
... measure of them , or more briefly , that it is a measure of them . 107. The following is the rule for finding the G. C. M. of two Algebraical expressions : Let A and B denote the two expressions ; let them be arranged according to ...
... measure of them , or more briefly , that it is a measure of them . 107. The following is the rule for finding the G. C. M. of two Algebraical expressions : Let A and B denote the two expressions ; let them be arranged according to ...
Page 42
... measure of A and B ; we shall next shew that it is their greatest common measure . By Art . 109 every expression which divides A and B divides A - pB , that is , C ; thus every expression which is a measure of A and B is a measure of B ...
... measure of A and B ; we shall next shew that it is their greatest common measure . By Art . 109 every expression which divides A and B divides A - pB , that is , C ; thus every expression which is a measure of A and B is a measure of B ...
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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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