## 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 vii

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**Arithmetical**progression .... Multiplication 55 51 Division 57 53 Reduction 59 54 Rule of three 62 57 Duodecimals 63 58 Equations ..... Involution and Evolution 65 60 .... Extraction of the square root ... 66 62 cube root 69 64 any root ... Page 1

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**arithmetical**operations . Geometry treats of space , as of the forms , magnitudes , and positions of figures . The differential and integral calculus , the calculus of functions , & c . are also branches of Algebra , but of which no ... Page 50

... equal in value to each of the original fractions . This proposition will be found useful in the doctrine of proportions . 2. To add and together . 3 + 3 = 50 ARITHMETIC . Addition 54 Progressions Subtraction 55

... equal in value to each of the original fractions . This proposition will be found useful in the doctrine of proportions . 2. To add and together . 3 + 3 = 50 ARITHMETIC . Addition 54 Progressions Subtraction 55

**Arithmetical**progression. Page 64

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**arithmetical**studies which renders such knowledge essential . A single specimen of the process of complete duodecimal multiplication expressed in the common and contracted notations is here subjoined , which it is hoped will give a ... Page 75

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**Arithmetical**Relation ; and the difference sometimes the**Arithmetical**Ratio : the other con- siders their quotient , which is called Geometrical Relation ; and the quotient expresses the Geometrical Ratio . So , of these two numbers , 6 ...### 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