## A New and Easy Introduction to the Mathematics: Containing. A system of theoretical and practical arithmetic. Rules for the mensuration of superfices and solids. Rules for solving a number of useful and interesting mathematical, philosophical, and chronological problems. A collection of interesting mathematical questions for exercise. Useful tables, &c. Designed for the use of schools, academies, and private learners. I.. II.. III.. IV.. V. |

### From inside the book

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**ratio**of 2 to 4 is the same as the**ratio**of 7 to 14 : read thus , as 2 is to 4 , so is 7 to 14 . 2 Denotes the second power or square of 4 ; and 43 denotes the third power or cube of 4 , and so on for higher powers . Also , a “ or aa ... Page 13

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**ratio**. * Although the cipher , 0 , does not of itself denote any number , yet , every cipher annexed to significant figures increases the local values of the latter in a tenfold**ratio**, by throwing them into higher places . Thus , 4 ... Page 14

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**ratio**. The method of counting by tens , which is now in general use , originated from the practice of counting on the fingers , which are ten in number . This method of enumerating figures to the left hand of the place of hundreds of ... Page 71

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**ratio**of 32 to 17. Thus , 17 rials of plate are equiv- alent to 32 rials vellon ; and so of the other denominations of money . In the United - States 1 rial of plate = 10 cents , and 1 rial vellon - 5 cents . of Portugal . In Portugal ... Page 93

... always 10 , as in Simple Subtrac- tion , because the denominations of compound numbers do not all in- crease in a tenfold

... always 10 , as in Simple Subtrac- tion , because the denominations of compound numbers do not all in- crease in a tenfold

**ratio**. PROOF . Add the total remainder , or answer , COMPOUND SUBTRACTION . 93 Find the sums, ...### Other editions - View all

A New and Easy Introduction to the Mathematics (Classic Reprint) Ira Wanzer No preview available - 2017 |

A New and Easy Introduction to the Mathematics (Classic Reprint) Ira Wanzer No preview available - 2017 |

### Common terms and phrases

acres amount of $1 annex annuity annum answer Arithmetic assumed numbers Avoirdupois Bought breadth bush bushels ciphers column common compound interest contains cost cube root currency decimal point defective divisor denotes diameter difference dividend division dollars Dominical Letter equal EXAMPLES federal money foregoing frustum gain gallons given number given quantity given sum greater least common multiple left hand length lower denominations measure method miles minuend mixed number months multiplicand multiply neat weight Note number of days number of terms Operation ounces payment pence piastres pounds present worth principal PROB PROBLEM question quotient figure rate per cent ratio Reduce remainder right hand figure Rule of Three second terms shillings sides simple interest solid content square root subtract subtrahend tare third term tion triangle vulgar fraction whole numbers yards of cloth

### Popular passages

Page 69 - Thirty days hath September, April, June, and November ; All the rest have thirty-one, Except the second month alone, Which has but twenty-eight, in fine, Till leap year gives it twenty-nine.

Page 70 - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees ; each degree into 60 equal parts, called minutes ; and each minute into 60 equal parts, called seconds.

Page 234 - To reduce an improper fraction to its equivalent whole or mixed number. RULE. — Divide the numerator by the denominator, and the quotient will be the whole or mixed number sought.

Page 235 - Operations with Fractions A) To change a mixed number to an improper fraction, simply multiply the whole number by the denominator of the fraction and add the numerator.

Page 291 - IS the method of finding what quantity of e'ach of the ingredients, whose rates are given, will compose a mixture of a given rate; so that it is the reverse of alligation medial, and may be proved by it. CASE.

Page 356 - The power is applied to the circumference of the wheel, and the weight to the circumference of the axle.

Page 190 - But if any payments be made before one year's interest hath accrued, then compute the interest on the principal sum due on the obligation, for one year, add- it to the principal, and compute the interest on the sum paid, from the time it was paid...

Page 283 - Take a series of as many terms, decreasing by 1, from the given number, out of which the election is to be made, and find the product of all the terms.

Page 272 - When four quantities are in arithmetical proportion, the sum of the extremes is equal to the sum of the two mean terms.

Page 241 - To reduce any given quantity to the fraction of any greater denomination of the same kind. RULE. — Reduce the given quantity to the lowest term mentioned for a.