## An Easy Introduction to the Mathematics: In which the Theory and Practice are Laid Down and Familiarly Explained ... A Complete and Easy System of Elementary Instruction in the Leading Branches of the Mathematics; ... Adapted to the Use of Schools, Junior Students at the Universities, and Private Learners, Especially Those who Study Without a Tutor. In Two Volumes, Volume 1 |

### From inside the book

Page 18

... the

tens, and eight units) is expressed by writing 8 in the (right

in the second, and 6 in the third; thus 678; in like manner three thousand four ...

... the

**left**of the 5; thus 25. Six hundred and seventy-eight (or six hundreds, seventens, and eight units) is expressed by writing 8 in the (right

**hand**or) first place, 7in the second, and 6 in the third; thus 678; in like manner three thousand four ...

Page 20

The right

do not pronounce the word units in reading, ... in figures, if the learner is at a loss

how to do it, he may make as many dots (placing them in a line from right to

The right

**hand**place of each denomination is units of that denomination: but wedo not pronounce the word units in reading, ... in figures, if the learner is at a loss

how to do it, he may make as many dots (placing them in a line from right to

**left**) ... Page 22

... use is to find 2 || 4 || 5 | 6 || 7 || 8 || 9 || 10 | 11 readily the sum of any two - –

numbers, each not exceed3 5 || 6 7 || 8 9 | 10 || 11 | 12 ing 9. Thus, look for the 4 6

7 | 8 9 || 10 11 || 12 | 13 two numbers, viz. one in – the

...

... use is to find 2 || 4 || 5 | 6 || 7 || 8 || 9 || 10 | 11 readily the sum of any two - –

numbers, each not exceed3 5 || 6 7 || 8 9 | 10 || 11 | 12 ing 9. Thus, look for the 4 6

7 | 8 9 || 10 11 || 12 | 13 two numbers, viz. one in – the

**left hand**column, and 5 || 7...

Page 24

... with the second column as before; take out the tens from the sum, set down the

remainder, carry 1 for every ten to the third column, and proceed in this manner

till the

... with the second column as before; take out the tens from the sum, set down the

remainder, carry 1 for every ten to the third column, and proceed in this manner

till the

**left hand**column is added, under which its whole sum must be put down “. Page 26

26. may be made a Subtraction Table: thus to find the difference of two numbers,

look for the least at top, and in the same column find the greatest; then the

number in the

is the ...

26. may be made a Subtraction Table: thus to find the difference of two numbers,

look for the least at top, and in the same column find the greatest; then the

number in the

**left hand**column, which stands in the same line with the greatest,is the ...

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### Contents

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### Other editions - View all

### Common terms and phrases

added Algebra aliquot answer Arithmetic called carry ciphers coefficient common denominator compound contained cube root cubic decimal denotes Diff Diophantus Divide dividend division divisor Earplanation equal equation Euclid's Elements example farthings former fourth gallons geometrical progression Geometry given number greater greatest common measure greatest term hundred improper fraction improvements inches latter learning least common multiple least term left hand less likewise logarithm lowest terms Mathematics method mixed number multiplicand Multiply namely number of terms operation ounces pence pounds Prod Proof proper Quot quotient ratio Reduce remainder repetend right hand figure rule second term shewn shews shillings simple square root subjoin subtract surd tens third thousand tion transposition units unknown quantity vinculum vulgar fraction whence wherefore whole number yards

### Popular passages

Page xxiv - Just so it is in the mind ; would you have a man reason well, you must use him to it betimes, exercise his mind in observing the connection of ideas and following them in train. Nothing does this better than mathematics, which therefore I think should be taught all those who have the time and opportunity, not so much to' make them mathematicians as to make them reasonable creatures...

Page 64 - LIQUID MEASURE 4 gills (gi.) = 1 pint (pt.) 2 pints = 1 quart (qt...

Page 114 - Then multiply the second and third terms together, and divide the product by the first term: the quotient will be the fourth term, or answer.

Page 466 - What number is that, which, being divided by the product of its digits, the quotient is 3 ; and if 18 be added to it, the digits will be inverted ? Ans.

Page 62 - Square Measure 144 square inches = 1 square, foot 9 square feet = 1...

Page 122 - State and reduce the terms as in the Rule of Three Direct. 2. Multiply the first and second terms together, and divide the product by the third ; the quotient will be the answer in the same denomination as the middle term was reduced into.

Page 252 - ... and to the remainder bring down the next period for a dividend. 3. Place the double of the root already found, on the left hand of the dividend for a divisor. 4. Seek how often the divisor is contained...

Page 450 - A hare is 50 leaps before a greyhound, and takes 4 leaps to- the greyhound's 3, but 2 of the greyhound's leaps are as much as 3 of the hare's ; how many leaps must the greyhound take to catch the hare ? Ans. 300.

Page 307 - Multiply the whole number by the numerator of the fraction, and divide the product by the denominator ; or divide the whole number by the denominator of the fraction, and multiply the quotient by the numerator.

Page 238 - ... 2. Multiply each term in the multiplicand, beginning at the lowest, by the feet in the multiplier, and write...