## 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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**theorem**, I have been led , I confess , to introduce it here more in accordance with the dictum of the mathematical public , than from my own conviction of its practical utility in reference to numerical solution - at least till some ... Page viii

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**theorem**247 242 Particular relations of arcs ............ 427 Theory of logarithms Values of functions of arcs .. 429 Logarithmic tables Tabular**theorems**... Simple interest Definitions and properties ... 248 Logarithmic series ... Page 1

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**Theorems**, Problems , Leminas , Corollaries , Scholia , & c . 5. A Definition is the explication of any term or ...**Theorem**is a demonstrative Proposition ; in which some property is asserted , and the truth of it required to be ... Page 2

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**Theorem**, the truth of which is demonstrated by Geometry . A set or col- lection of such**Theorems**constitutes a Theory . 8. A Problem is a proposition or a question requiring something to be done ; either to investigate some truth or ... Page 76

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**theorems**:**THEOREM**1. When four quantities are in arithmetical proportion , the sum of the two extremes is equal to the sum of the two means . Thus , with regard to the four , 2 , 4 , 6 , 8 , we have 2 + 8 = 4 + 6 = 10 .**THEOREM**2. In ...### 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