A Course of Mathematics: Composed for the Use of the Royal Military Academy |
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Page 2
... given in numbers. A Geometrical Solution, is an answer given by the principles of Geometry. And a Mechanical Solution, is one which is gained by trials. - 9. A Lemma is a preparatory proposition, laid down in order to shorten the ...
... given in numbers. A Geometrical Solution, is an answer given by the principles of Geometry. And a Mechanical Solution, is one which is gained by trials. - 9. A Lemma is a preparatory proposition, laid down in order to shorten the ...
Page 9
... given number 4658 = 4 × 999 + 4 + 6 × 99 + 6 + 5X9 + 5 + 8 = 4 × 999 +6 × 99 +5 × 9 + 4 + 6 + 5 + 8 ; and 4658 ÷ 9 ( 4 × 999 + 6 × 99 + 5 × 9 + 4 + 6 + 5 + 5 ) ÷ 9. But 4 × 999 +6 × 99 +5 × 9 is evidently divisible by 9 , without a ...
... given number 4658 = 4 × 999 + 4 + 6 × 99 + 6 + 5X9 + 5 + 8 = 4 × 999 +6 × 99 +5 × 9 + 4 + 6 + 5 + 8 ; and 4658 ÷ 9 ( 4 × 999 + 6 × 99 + 5 × 9 + 4 + 6 + 5 + 5 ) ÷ 9. But 4 × 999 +6 × 99 +5 × 9 is evidently divisible by 9 , without a ...
Page 15
... given number 4658 4 X 999 + 4 + 6 × 99 + 6 + 5 × 9 + 5 + 8 = 4 × 999 +6 × 99 +5 × 9 + 4 + 6 + 5 + 8 ; and 4658 ÷ 9 = ( 4 × 999 + 6 × 99 + 5 × 9 + 4 + 6 + 5 + 5 ) ÷ 9. But 4 X 999 +6 × 99 +5 x 9 is evidently divisible by 9 , without a ...
... given number 4658 4 X 999 + 4 + 6 × 99 + 6 + 5 × 9 + 5 + 8 = 4 × 999 +6 × 99 +5 × 9 + 4 + 6 + 5 + 8 ; and 4658 ÷ 9 = ( 4 × 999 + 6 × 99 + 5 × 9 + 4 + 6 + 5 + 5 ) ÷ 9. But 4 X 999 +6 × 99 +5 x 9 is evidently divisible by 9 , without a ...
Page 44
... given fractions have a common mea- sure , let them be divided by it ; then multiply the terms of each given fraction by the quotient arising from the other's denominator . 2. When the less denominator of two fractions exactly divides ...
... given fractions have a common mea- sure , let them be divided by it ; then multiply the terms of each given fraction by the quotient arising from the other's denominator . 2. When the less denominator of two fractions exactly divides ...
Page 45
... given fractions have a common mea- sure , let them be divided by it ; then multiply the terms of each given fraction by the quotient arising from the other's denominator . 2. When the less denominator of two fractions exactly divides ...
... given fractions have a common mea- sure , let them be divided by it ; then multiply the terms of each given fraction by the quotient arising from the other's denominator . 2. When the less denominator of two fractions exactly divides ...
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Common terms and phrases
algebraic axis bisected centre chord ciphers circle circumference co-ordinates coefficient contained Corol cosec cosine cube root curve decimal denominator denotes diameter difference differential co-efficient distance Divide dividend division divisor draw dy dx equal EXAMPLES exponent expression extract factors feet figure fraction given number greater greatest common measure Hence hyperbola inches latus rectum least common multiple logarithm manner monomial Multiply negative nth root number of terms parallel parallelogram perpendicular plane polynomial positive Prob PROBLEM Prop proportional quotient radius ratio rectangle Reduce remainder right angles rule sides sine square root straight line substitute subtract tangent THEOREM unknown quantity VULGAR FRACTIONS whole number yards