## 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

Results 6-10 of 96

Page 26

it out of the figure above, and set what remains under it: do the same with all the

figures in the less number, setting each remainder under the figure from

it arises. - III. But if it happens that a figure in the lower line be greater than that ...

it out of the figure above, and set what remains under it: do the same with all the

figures in the less number, setting each remainder under the figure from

**whence**it arises. - III. But if it happens that a figure in the lower line be greater than that ...

Page 32

In like manner 87 multiplied by 500 is 43500; for 87 multiplied by 5 is 435; but

500 is 100 times 5,

5, or 43500; and the like is true in every case. - 3. Add all the products together, ...

In like manner 87 multiplied by 500 is 43500; for 87 multiplied by 5 is 435; but

500 is 100 times 5,

**whence**the product by 500 must be 100 times the product by5, or 43500; and the like is true in every case. - 3. Add all the products together, ...

Page 33

multiplying figure which produces it; also it is plain, that the sum of all the

products will be the product of the whole multiplicand into the whole multiplier,

since it is ...

**Whence**it follows, that the first figure of every product ought to stand under themultiplying figure which produces it; also it is plain, that the sum of all the

products will be the product of the whole multiplicand into the whole multiplier,

since it is ...

Page 42

Now dividing by 2 gives the half, and dividing the half by 7 gives the seventh part

of the half, which is evidently the fourteenth part of the whole;

successively by 2 and 7 is equivalent to dividing by 14. And the same may be ...

Now dividing by 2 gives the half, and dividing the half by 7 gives the seventh part

of the half, which is evidently the fourteenth part of the whole;

**whence**dividingsuccessively by 2 and 7 is equivalent to dividing by 14. And the same may be ...

Page 52

Thus to bring farthings into pounds, I first reduce them to pence, then the pence to

shillings, and then the shillings to pounds. When there is a remainder, it is of the

same denomination with the dividend from

Thus to bring farthings into pounds, I first reduce them to pence, then the pence to

shillings, and then the shillings to pounds. When there is a remainder, it is of the

same denomination with the dividend from

**whence**it arises'. MONEY 5.### What people are saying - Write a review

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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...