## A Course of Mathematics: In Two Volumes. Composed for the Use of the Royal Military Academy, Volume 1Longman, Orme & Company, 1841 - Mathematics |

### From inside the book

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Page 170

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**side**of the equation ; those which follow it , the second member or the second**side**. The resolution of equations ...**sides**, in order to get all the unknown terms on one 170 ALGEBRA . Involution and Evolution 60 Simple equations 170. Page 172

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**side**when it is the square root ; cube each**side**when it is the cube root ; and so on , which removes that radical from the equation . Thus , if x 3 = 4 : then transposing 3 , gives ✓ x = 7 ; and squaring both**sides**gives a = 49 . Also ... Page 185

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**side**as to render it a complete square ; and by corresponding additions , subtractions , multiplications , or ...**sides**: then we a Add the square of half the co - efficient of æ , viz . of have x2 + b 62 62 x + 4a24a2 a C a 62-4 ... Page 238

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**sides**of the equation being of different forms , and those of the first**side**given , we may proceed to equate those ...**sides**by 1 + x + x2 , and multiply the two factors of the numerator together . This gives 1 Ох x2 + 2x3 204 ... Page 243

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**sides**to the qth power : then we have 1 + pv + B , v2 + ... = 1 + qv ( A + B + ... ) + B , v2 ( An + B , v + .. ) 2 ...**sides**, ; n ( 1 + y ) " = ( 1 + y ) { n + 2A2 y + 3A3 y2 + ... ( r + 1 ) A , + 13 + .... } ; or again reducing ...### Other editions - View all

### Common terms and phrases

a₁ ABCD algebraic annum arithmetical arithmetical progression base bisect centre circle circumference coefficients common difference compound compound interest cosec cube root decimal denominator denote diagonal diameter distance divided dividend division divisor draw drawn equal equiangular EXAMPLES expression factors figure fraction geometrical geometrical progression given number greater hence inscribed integer intersection least common multiple length less lineation logarithms method Multiply number of terms parallel parallel ruler parallelogram perpendicular plane polygon prism PROBLEM proportional quantity quotient radius ratio rectangle Reduce remainder result right angles rule Scholium sides signs solution square root straight line subtract tangent THEOREM third triangle ABC vulgar fraction Whence whole yards