## 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 1-5 of 40

Page 16

The nine first numbers are all that can be expressed by single figures; to denote

all higher numbers it is necessary to combine two, three, or more figures, and

sometimes to employ one or more

preceding ...

The nine first numbers are all that can be expressed by single figures; to denote

all higher numbers it is necessary to combine two, three, or more figures, and

sometimes to employ one or more

**ciphers**. - 14. It has been shewn in thepreceding ...

Page 17

If two figures or

times what it did when it had only one on its right, or one hundred ,times its

simple value; and so on continually. 19. Hence appears the use of the

which ...

If two figures or

**ciphers**be placed to the right of a figure, that figure expresses tentimes what it did when it had only one on its right, or one hundred ,times its

simple value; and so on continually. 19. Hence appears the use of the

**cipher**,which ...

Page 18

ber, it increases the value of that number tenfold; thus 5 standing by itself

expresses simply five ; but if a

becomes fifty, or ten times 5; if two

hundred, or ten ...

ber, it increases the value of that number tenfold; thus 5 standing by itself

expresses simply five ; but if a

**cipher**be placed on its right, thus 50, it thenbecomes fifty, or ten times 5; if two

**ciphers**be placed, thus 500, it becomes fivehundred, or ten ...

Page 19

When a number contains one or more

five; here are no tens : 30 is read thirty; here are no units : 70003 is read seventy

...

When a number contains one or more

**ciphers**, the denominations which the**ciphers**occupy are to be omitted in reading; thus, 405 is read four hundred andfive; here are no tens : 30 is read thirty; here are no units : 70003 is read seventy

...

Page 20

... to be written; under the place of tens put the tens figure of the number; under

the place of hundreds put the hundreds figure of the number, &c. and if at last

there be any dot without a figure under it, the place must be supplied by a

... to be written; under the place of tens put the tens figure of the number; under

the place of hundreds put the hundreds figure of the number, &c. and if at last

there be any dot without a figure under it, the place must be supplied by a

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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...