## 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 iv

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**equations**, the introductory remarks and suggestions , as well as the examples chosen for illustrating the ...**equation**; and as brief a form of investigating Sturm's criterion as I could devise , has also been added . Though I ... Page vii

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**Equations**..... Involution and Evolution 65 60 .... Extraction of the square root ... 66 62 cube root 69 64 any ...**equation**214 228**Equations**with equal roots ...... 216 228 Imaginary roots are in pairs . 217 228 Irrational roots ... Page 60

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**equation**being multiplied by the nume- rator 8 , will give = 275846 , or rather & 27586 , and if this be substituted instead of the fraction in the first**equation**, it will make = 0344827586.8 . Again , let this**equation**be multiplied ... Page 69

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**equations**of all orders . In the form here given it is rather more concise in the operation than as generally applied to**equations**of a higher order , and is put in this form for the use of those students who are not likely to proceed ... Page 94

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**equation**. When it is by means of one**equation**, and one unknown , the solution can be obtained by single position : and when it involves two propositions , one of which cannot be mentally eliminated , we must have recourse to double ...### 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