## 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 61

Page xvii

Part III. contains the History of Algebra, and its fundamental rules; Rules for

solving Simple and Quadratic

of Problems, teaching the application of Simple and Quadratic

great ...

Part III. contains the History of Algebra, and its fundamental rules; Rules for

solving Simple and Quadratic

**Equations**, ... are included; and, lastly, a collectionof Problems, teaching the application of Simple and Quadratic

**Equations**, in agreat ...

Page xviii

Hutton, Bernoulli, &c. the Solution of Exponental

exercise. Part VI. explains the nature and method of resolving indeterminate

Problems, both simple and Diophantine. Part VII. shews how to convert Fractions

and ...

Hutton, Bernoulli, &c. the Solution of Exponental

**Equations**, and Problems forexercise. Part VI. explains the nature and method of resolving indeterminate

Problems, both simple and Diophantine. Part VII. shews how to convert Fractions

and ...

Page 260

An universal investigation of the above rule will be given, when we treat of the

resolution of the higher

call the 260 - ARITHMETIC. PART I. Roots in general by Approximation.

An universal investigation of the above rule will be given, when we treat of the

resolution of the higher

**equations**in Algebra sum ; subtract 1 from the index, andcall the 260 - ARITHMETIC. PART I. Roots in general by Approximation.

Page 316

Having made the composition, the next thing to be done is to find the value of the

unknown quantities contained in the

resolution: thus each unknown quantity must be disentangled from all known

ones ...

Having made the composition, the next thing to be done is to find the value of the

unknown quantities contained in the

**equations**, which process is called theresolution: thus each unknown quantity must be disentangled from all known

ones ...

Page 317

only on the other; thus the value of the unknown quantity is found, for (as the

according to the import of their signs. Of the origin and early history of Algebra ...

only on the other; thus the value of the unknown quantity is found, for (as the

**equation**thus reduced implies) it is equal to the known ones, connected togetheraccording to the import of their signs. Of the origin and early history of Algebra ...

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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...