## Dictionary of the Mathematical and Physical Sciences, According to the Latest Improvements and Discoveries |

### From inside the book

Page 178

Or , a

the magni . press invariable quantities ... as the it thence to continue invariable .

fiuxions of the former

Or , a

**fluxion**may be ters a , b , c , d , & c . are used to us . otherwise defined , asthe magni . press invariable quantities ... as the it thence to continue invariable .

fiuxions of the former

**fluxions**or Fluxional Analysis , is the ana second**fluxions**... Page 180

Whence it appears , that the To find the

both for inte . gral power of a variable quantity : consequently also for negative

gral and fractional indices , and Multiply the given power by the ones ; that is ,

index ...

Whence it appears , that the To find the

**fluxion**of any inte . same rule has placeboth for inte . gral power of a variable quantity : consequently also for negative

gral and fractional indices , and Multiply the given power by the ones ; that is ,

index ...

Page 181

be ; Therefore the

we have sin . ( = + 3 ) = sin . of x , is equal to M X , where % cos . % + sin . % cos .

% , the radius Mis the modulus of the system . being assumed equal to unity .

be ; Therefore the

**fluxion**of any log . I the formulæ for the sines of sums . of farcs ,we have sin . ( = + 3 ) = sin . of x , is equal to M X , where % cos . % + sin . % cos .

% , the radius Mis the modulus of the system . being assumed equal to unity .

Page 182

In the direct rity , the fuxion of 3 x ? a ' , or 3 é x method of

find the fuxion of any flowing or z ?, will be ... In this case the

much more difficult , as 22 X 2 will be , by the first and no rules can be laid down ...

In the direct rity , the fuxion of 3 x ? a ' , or 3 é x method of

**fluxions**our object is tofind the fuxion of any flowing or z ?, will be ... In this case the

**fluxion**of 3 ration ismuch more difficult , as 22 X 2 will be , by the first and no rules can be laid down ...

Page 183

3 = 10 3 value of the compound root , which Many Anents may be foand by will

be the

proposed thus : to find the fluent of ( a2 + x2 ) 3 Take the

given ...

3 = 10 3 value of the compound root , which Many Anents may be foand by will

be the

**fluxion**required . the direct method of**fluxions**, For example , let it beproposed thus : to find the fluent of ( a2 + x2 ) 3 Take the

**fluxion**again of thegiven ...

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