## 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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**examples**for exercise , of the last edition , remains in this . To give every thing essential to elemen- tary trigonometry investigated in a direct and simple manner , and en- tirely to exclude all matters of mere scientific curiosity ... Page 5

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**EXAMPLES**. Express in words the following numbers ; viz . 13405670 34 96 380 704 6134 9028 15080 72033 109026 483500 2500639 7523000 47050023 309025600 4723507689 274856390000 6578600307024 NOTATION is the setting down in figures any ... Page 7

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**EXAMPLE**I. 3497 6512 8295 18304 Excess of nines . 556 Third Method . Add the figures in the uppermost line together , and find how many nines are contained in their sum . - Reject those nines ...**EXAMPLES**. 3 . 4 . 12345 ADDITION . -1. Page 12

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**EXAMPLE**. Mult . 3542 or Mult . 3542 by 6196 Proof by 6196 2 21252 21252 5 4 31878 3542 2 3542 21252 31878 21252 21946232 Product . 21946232 Product . OTHER**EXAMPLES**. Ans . 370370367 . Multiply 123456789 by 3 . Multiply 123456789 by 4 ... Page 13

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**EXAMPLES**. 1. Multiply 51307298 by 56 , or 7 times 8 . 51307298 7 359151086 8 2873208688 2. Multiply 31704592 by 36 ...**example**, 7 times the product of 8 by the given number , make 56 times the same num- ber , as plainly as 7 ...### 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