## 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

Results 1-5 of 49

Page vii

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**Geometrical**progression Circulating decimals**Geometrical**proportion Harmonical progression Simple equations ... Quadratic equations , problems 185 195 simulta- Quadratic equations , problems 193 206 Cubic and biquadratic equations ... Page 2

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**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 order to shorten the demonstration of the main ... Page 3

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**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 practice ... Page 37

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**geometrical**principles of ratio , as Mr. Bonnycastle has done , we should put the term which is of the same kind with the answer in the third place instead of the second . It is not , however , with concrete but with abstract numbers ... Page 61

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**Geometrical**Progression : and we may refer the inquiring student also to Mr. Goodwin's Tables of Decimal Circles , and to the Ladies ' Diary for 1824 . A convenient notation has been used to designate the circulating period which is ...### 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