## 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 31

Page 137

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**two terms**, ( that is between the antecedent and the consequent , ) of the ratio . Thus , 3 : 5 , denotes the ratio of 3 to 5 . Four quantities are said to be in geometrical proportion , when the ratio of the first to the second is ... Page 138

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**two**mean**terms**of any analogy be divided by either of the extremes , the quotient will be the other extreme ; which is the foundation of the following Rule of Simple Proportion , commonly called the Rule of Three . The Rule of ... Page 140

... term , then make the less remaining number the

... term , then make the less remaining number the

**second term**, and the greater the first term . 2. If the first and**second terms**be simple numbers of different names ; or , one or both of them of divers denom- inations ; reduce them both ... Page 141

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**second terms**are large numbers . When the third term is Federal money , or contains any decimals , then multiply and divide according to the rules for the multiplication and division of decimals . Note 2. - Sometimes two or more ... Page 142

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**second**and third**terms**together , and then divide their product by the first**term**; and the quotient is the fourth**term**, or an- swer ; being the value of 80 yards of cloth at the rate of $ 14 for 5 yards . 2. If 80 yards of cloth cost ...### 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.