## 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

Results 1-5 of 42

Page 8

...

...

**tion**, Subtraction , & c .; the chief of which are the following : CHARACTERS . + X EXPLANATIONS . Plus , † or more ; the sign of Addition , or the positive sign , signifying that the number to which it is prefixed , § is to be added to ... Page 53

...

...

**tion**, being only the converse of it ; for the half of the third part of any thing , is evidently the same as the sixth part of the whole ; and so of any other numbers . The reason of Note 1. - When only the first quotient has a E2 ... Page 57

...

...

**tion**is 1 , the answer will be found by merely dividing the whole number by the denominator of the fraction . 1. Multiply 425 by ; that is , find of 425 . EXAMPLES . 425 2 3 ) 850 Ans . 283 Here 72 ÷ 4-18 , Ans . 2. What is of 72 ? 3 ... Page 60

...

...

**tion**and the succeeding rules which precede Decimal Frac- tions , he can direct them to omit those rules until they have gone through with the first four rules in Decimals and the succeeding section on Federal Money . REDUCTION , Is the ... Page 78

...

...

**tion**in Simple Multiplication , it appears that Federal Mon- ey may be reduced from higher to lower denominations by annexing as many ciphers as there are places from the de- nomination given to that required ; or , if the given sum be ...### 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.