A Course of Mathematics: In Two Volumes. For the Use of the Royal Military Academy, Volume 1 |
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Page 17
... divisors ( they forming parts of the numbers successively divided ) we have r3 14 + di d , da dz d , da + + + d , da dz dą d d , d , Reducing these to a common denominator , we have r , d , dz da di tra dz dą d , + rz d4 d5 .
... divisors ( they forming parts of the numbers successively divided ) we have r3 14 + di d , da dz d , da + + + d , da dz dą d d , d , Reducing these to a common denominator , we have r , d , dz da di tra dz dą d , + rz d4 d5 .
Page 41
... denominator The Denominator , or number placed below the line , shows how many equal parts the whole quantity is divided into ; and it represents the Divisor in Division . And the Numerator , or number set above the line , shows how ...
... denominator The Denominator , or number placed below the line , shows how many equal parts the whole quantity is divided into ; and it represents the Divisor in Division . And the Numerator , or number set above the line , shows how ...
Page 42
A Proper Fraction , is when the numerator is less than the denominator ; as , 1 , or , or . An Improper Fraction , is when the numerator is equal to , or exceeds , the denominator ; as ļ , or ș , or } . In these cases the fraction is ...
A Proper Fraction , is when the numerator is less than the denominator ; as , 1 , or , or . An Improper Fraction , is when the numerator is equal to , or exceeds , the denominator ; as ļ , or ș , or } . In these cases the fraction is ...
Page 45
Multiply the integer or whole number by the denominator of the fraction , and to the product add the numerator ; then set that sum above the denominator for the fraction required . EXAMPLES . 1. Reduce 23 } to a fraction .
Multiply the integer or whole number by the denominator of the fraction , and to the product add the numerator ; then set that sum above the denominator for the fraction required . EXAMPLES . 1. Reduce 23 } to a fraction .
Page 46
To reduce a whole number to an equivalent fraction , having a given denominator . * Multiply the whole number by the given denominator ; then set the product over the said denominator , and it will form the fraction required .
To reduce a whole number to an equivalent fraction , having a given denominator . * Multiply the whole number by the given denominator ; then set the product over the said denominator , and it will form the fraction required .
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A Course of Mathematics: Composed for the Use of the Royal Military Academy Charles Hutton No preview available - 2015 |
Common terms and phrases
added algebraic angle answer applied arithmetical base called centre circle coefficients common compound contained continued cube decimal denominator denote describe diameter difference distance divided division divisor double draw drawn equal equation EXAMPLES expression extremes factors figure former four fraction functions give given greater half hence interest intersection join latter length less manner means measure meeting method Multiply obtained operation opposite parallel parallelogram perpendicular plane position principal PROBLEM proportional quantity question quotient radius ratio rectangle Reduce remainder respectively result right angles root rule sides signs simple solution square subtract successive supposing taken THEOREM third triangle Whence whole yards