## 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

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Page xxvi

W. Jones very justly remarks, that, “ in philosophy, especially under the present

state of it, the use of mathematical learning is unquestionable;" and Dr. Watts

says,that “the moderns have found a

...

W. Jones very justly remarks, that, “ in philosophy, especially under the present

state of it, the use of mathematical learning is unquestionable;" and Dr. Watts

says,that “the moderns have found a

**thousand**things by applying mathematics to...

Page xxxi

... they, or their disciples, are daring enough still to persist, and to call on the

world to admire their sagacity and penetration; and for what? for reviving old and

worn out quibbles, which have been satisfactorily answered a

ago!

... they, or their disciples, are daring enough still to persist, and to call on the

world to admire their sagacity and penetration; and for what? for reviving old and

worn out quibbles, which have been satisfactorily answered a

**thousand**yearsago!

Page xxxii

... by means of a series of accumulated improvements which have successively

taken place during the space of nearly six

grown into that almost endless variety of useful results, which supply the

necessities ...

... by means of a series of accumulated improvements which have successively

taken place during the space of nearly six

**thousand**years, they have at lengthgrown into that almost endless variety of useful results, which supply the

necessities ...

Page 4

As often as any character is repeated, so many times its value is repeated; thus, II

represents two, III three, XX twenty, XXX thirty, CC two hundred, MM two

thus, ...

As often as any character is repeated, so many times its value is repeated; thus, II

represents two, III three, XX twenty, XXX thirty, CC two hundred, MM two

**thousand**. A less character placed on the left of a greater diminishes its value;thus, ...

Page 5

CXX one hundred and twenty, DX five hundred and ten, DCC seven hundred, M,

DCCCC, XC, IX one

books, records, and inscriptions, and on antique coins and medals, we meet with

...

CXX one hundred and twenty, DX five hundred and ten, DCC seven hundred, M,

DCCCC, XC, IX one

**thousand**nine hundred and ninety-nine. In some ancientbooks, records, and inscriptions, and on antique coins and medals, we meet with

...

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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...