## 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 100

Page vii

...

...

**Rule**of three . 36 34 Division 144 140 Compound proportion 40 37 Continued fractions ... 145 Vulgar fractions 41 39 Involution and evolution 147 141 Reduction 42 40 Powers and roots of mono- Addition Subtraction ... 50 46 mials 147 141 ... Page 8

...

...

**rule**itself is evident for the excess of 9s in two or more numbers being taken separately , and the excess of 9s taken also out of the sum of the former excesses , it is plain that this last excess must be equal to the excess of 9s ... Page 9

... this method of proof is evident ; for if the difference of two numbers be added to the less , it must manifestly make up a sum equal to the greater . Before proceeding to any operations in this

... this method of proof is evident ; for if the difference of two numbers be added to the less , it must manifestly make up a sum equal to the greater . Before proceeding to any operations in this

**rule**, it MULTIPLICATION . 9. Page 10

...

...

**rule**, it is necessary to commit thoroughly to memory the following Table , of all the products of the first 12 numbers , commonly called the Multiplication Table , or sometimes the Table of Pythagoras , from its alleged inventor ... Page 11

...

...

**rule**of division is learned . Or thus : - Having placed the multiplier under the multiplicand as in the previous**rule**, multiply by the left - hand figure , setting down the product as if that figure were 4567 * After having found the ...### 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