## A Course of Mathematics: In Two Volumes. For the Use of the Royal Military Academy, Volume 1 |

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Page 42

An Improper Fraction , is when the numerator is

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 called improper , because it is**equal**to or exceeds unity . A Simple Fraction , is a single ... Page 50

Taking any two fractions whatever , 71 and 35 , for example , after reducing them to a common denominator , we judge whether they are

Taking any two fractions whatever , 71 and 35 , for example , after reducing them to a common denominator , we judge whether they are

**equal**or unequal , by observing whether the products 35 x 11 , and 7 x 55 , which constitute ... Page 75

n n : + Let n denote the given number , and the fraction to which its square root d is approximately

n n : + Let n denote the given number , and the fraction to which its square root d is approximately

**equal**; then if n be a near integer or fractional value of the root , na + nd ? the fraction will denote one still nearer . Page 79

50 , 75 , ) may be expressed fractionally , j and " " ; to judge whether they are

50 , 75 , ) may be expressed fractionally , j and " " ; to judge whether they are

**equal**or unequal , we must reduce them to a common denominator , and we shall have 6 x 7 , and 14 x 3 for the two numerators . If these are**equal**... Page 75

n 書 n n Let n denote the given number , and the fraction to which its square root d is approximately

n 書 n n Let n denote the given number , and the fraction to which its square root d is approximately

**equal**; then if n be a near integer or fractional value of the root , na + nd ? the fraction will denote one still nearer .### What people are saying - Write a review

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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