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

### From inside the book

Results 1-5 of 100

Page 170

The quantities which precede the mark of equality , are often called together the first member or the first

The quantities which precede the mark of equality , are often called together the first member or the first

**side**of the equation ; those which follow it , the second member or the second**side**. The resolution of equations , is the ... Page 172

Thus , if n x – 3 = 4 : then transposing 3 , gives na = 7 ; and squaring both

Thus , if n x – 3 = 4 : then transposing 3 , gives na = 7 ; and squaring both

**sides**gives a = 49 . ... V. When that**side**or member of the equation which contains the unknown quantity is a complete power , or can easily be reduced to one ... Page 185

They are alike in principle , which is that of so modifying the first

They are alike in principle , which is that of so modifying the first

**side**as to render it a complete square ; and by ... viz . of to both**sides**: then we have b 62 62 62 4ac 2 + X + 4ao 4a ? and the first**side**is a complete square . Page 238

Assume the root to be in positive powers of x ; or v1 + 2 = A + Bx + Then squaring both

Assume the root to be in positive powers of x ; or v1 + 2 = A + Bx + Then squaring both

**sides**, 1 + x2 = A ? + ABX + ... + + The coefficients of the two**sides**of the equation being of different forms , and those of the first**side**given ... Page 243

Then , as before , assume that 9 ( 1 + o ) = l + A , 0 + B , v2 + Ch 03 + Raise both

Then , as before , assume that 9 ( 1 + o ) = l + A , 0 + B , v2 + Ch 03 + Raise both

**sides**to the qth power : then we have 1 + pv + B , v2 + ... = l + qu ( A. + B , 0 + ... ) + B , v2 ( A , + B , 0 + .. ) + and equating the homologous ...### What people are saying - Write a review

We haven't found any reviews in the usual places.

### Other editions - View all

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