## 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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**solution**though to this extent , great pains have been taken to render it logically complete . Legitimate proofs , on elementary principles , are given of the criteria of De Gua and Budan , for detecting the imaginary roots of an ... Page v

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**solution**- at least till some method less operose and practically embarrassing than is yet known , shall be discovered , of forming his successive auxiliary functions subsequent to the first deri- vative . Should such a method , in any ... Page vii

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**solution**of the cubic 198 209 Simpson's , of the biquadratic ... 200 212**Solution**of equations by trial and error 202 214 The numerical**Solution**of Equations 206 219 Definitions and notation ..... 206 219 Calculation of an expression ... Page 2

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**Solution**is the answer given in numbers . A Geometrical**Solution**is the answer given by the principles of Geometry . And a Mechanical**Solution**is one which is gained by trials . 10. A Lemma is a preparatory proposition , laid down in ... Page 3

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**solution**of geometrical propositions , it is very instructive to carry through both the analysis and the synthesis . ARITHMETIC . ARITHMETIC may be viewed as a subject of speculation , in which light it is a science ; or as a method of ...### Other editions - View all

### 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