A Course of Mathematics: In Two Volumes. For the Use of the Royal Military Academy, Volume 1Gilberte and Rivington, 1841 - Mathematics |
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Page vii
... expressions 148 146 Division 52 49 Cube root of ditto 149 Rule of three 52 49 Decimals , or decimal fractions ...... 54 ... Expression for the transformed equation 214 228 Equations with equal roots ...... 216 228 Imaginary roots are in ...
... expressions 148 146 Division 52 49 Cube root of ditto 149 Rule of three 52 49 Decimals , or decimal fractions ...... 54 ... Expression for the transformed equation 214 228 Equations with equal roots ...... 216 228 Imaginary roots are in ...
Page 41
... expression of a part , or some parts , of something considered as a whole . It is denoted by two numbers , placed one below the other , with a line between them : Thus , 3 numerator 4 denominator } which is named 3 - fourths . The ...
... expression of a part , or some parts , of something considered as a whole . It is denoted by two numbers , placed one below the other , with a line between them : Thus , 3 numerator 4 denominator } which is named 3 - fourths . The ...
Page 42
... expression , denoting any number of parts of the integer ; as , 3 , or 1 . A Compound Fraction , is the fraction of a fraction , or two or more fractions connected with the word of between them ; as of , or of § of 3 . A Mixed Number ...
... expression , denoting any number of parts of the integer ; as , 3 , or 1 . A Compound Fraction , is the fraction of a fraction , or two or more fractions connected with the word of between them ; as of , or of § of 3 . A Mixed Number ...
Page 68
... be finite or infinite : and sometimes one of these expressions will simplify the operation , sometimes another ; as will be learnt from a little experience . 3. Or reduce the vulgar fraction to a decimal , 68 ARITHMETIC .
... be finite or infinite : and sometimes one of these expressions will simplify the operation , sometimes another ; as will be learnt from a little experience . 3. Or reduce the vulgar fraction to a decimal , 68 ARITHMETIC .
Page 70
... expression for the cube of a binomial will render the truth of this rule very obvious . For ( a + b ) 3 = a3 + 3a2 + 3ab2 + b3 = a3 + { 3a2 + ( 3a + b ) × b } b , the last form of which is exactly that whose composition is directed in ...
... expression for the cube of a binomial will render the truth of this rule very obvious . For ( a + b ) 3 = a3 + 3a2 + 3ab2 + b3 = a3 + { 3a2 + ( 3a + b ) × b } b , the last form of which is exactly that whose composition is directed in ...
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Common terms and phrases
ABCD algebraic altitude arithmetical arithmetical progression base bisect breadth centre chord circle circumference coefficients common cone cosec cube root decimal denominator denoted diagonal diameter difference dihedral angle distance divided divisor draw drawn equal equation equiangular EXAMPLES expression figure fraction frustum geometrical given line greater hence inscribed integer intersection join length less lineation logarithms mantissa measure meeting method multiplied parallel parallel ruler parallelogram perpendicular plane polygon prism PROBLEM proportional quantity quotient radii radius ratio rectangle Reduce right angles rule Scholium segment sides sine solid angle solution square root straight line subtraction tangent THEOREM third trapezium triangle ABC u₁ vulgar fraction Whence