## 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 4

...

...

**divided**into periods and half - periods , each half - period consisting of three figures ; the name of the first period being units ; of the second , millions ; of the third , millions of mil- lions , or bi - millions , contracted to ... Page 6

...

...

**divided**by 4 . 2 : 3 4 6 , expresses that 2 is to 3 as 4 is to 6 . 6410 , shows that the sum of 6 and 4 is equal to 10 . ✓ 3 , or 3 , denotes the square root of the number 3 . 3/5 , or 5 denotes the cube root of the number 5 . 72 ... Page 7

...

...

**divided**by 9 , will leave the same remainder as the sum of its figures or digits**divided**by 9 : " which may be demonstrated in this manner . - Demonstration . - Let there be any number proposed , as 4658. This , separated into its ... Page 11

...

...

**divided**by either of the factors , will evidently give the other . But this cannot be practised till the rule of division is learned . Or thus : - Having placed the multiplier under the multiplicand as in the previous rule , multiply by ... Page 17

...

...

**divided**by the suc- cessive divisors ( they forming parts of the numbers successively**divided**) we have 12 r3 da di r4 dз r5 a1 + d d2 + d , dqd + d , da da d1 + d1 d2 d d d + di Τι + ... + . Reducing these to a common denominator , we ...### 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