Introduction to The National Arithmetic: On the Inductive System Combining the Analytic and Synthetic Methods in which the Principles of the Science are Fully Explained and Illustrated ; Designed for Common Schools and Academies |
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Page 95
... sides , and four right angles . In this diagram , the large square repre- sents a square yard , and each of the smaller squares within it represents one square foot . Now , since there are three rows of small squares , and three square ...
... sides , and four right angles . In this diagram , the large square repre- sents a square yard , and each of the smaller squares within it represents one square foot . Now , since there are three rows of small squares , and three square ...
Page 98
... side of a cubic yard contains 9 sq . ft . of surface ( Art . 93 ) , it is plain , if a block be cut off from one side , one foot thick , it can be divided into 9 solid blocks with sides 1 foot in length , breadth , and thickness , and ...
... side of a cubic yard contains 9 sq . ft . of surface ( Art . 93 ) , it is plain , if a block be cut off from one side , one foot thick , it can be divided into 9 solid blocks with sides 1 foot in length , breadth , and thickness , and ...
Page 264
... sides ? Ans . 25 feet . OPERATION . 625 ( 25 , Ans . 4 45 ) 225 225 - It is evident , if we extract the square root of 625 , we shall obtain one side of the pave- ment , in feet . ( Art . 267. ) Beginning at the right hand , we divide ...
... sides ? Ans . 25 feet . OPERATION . 625 ( 25 , Ans . 4 45 ) 225 225 - It is evident , if we extract the square root of 625 , we shall obtain one side of the pave- ment , in feet . ( Art . 267. ) Beginning at the right hand , we divide ...
Page 265
... sides of Fig . 1 , in order that it may remain a square . We therefore double the root 2 ( tens ) or 20 , one side of the square , to obtain the length of the two sides to be enlarged , making 40 feet ; and then inquire how many times ...
... sides of Fig . 1 , in order that it may remain a square . We therefore double the root 2 ( tens ) or 20 , one side of the square , to obtain the length of the two sides to be enlarged , making 40 feet ; and then inquire how many times ...
Page 268
... side of a square field whose area will be equal to the three pieces ? Ans . 121.11+ rods . 4. W. Scott has 2 house ... side called ? What the other two Hypothenuse . Base . Perpe Perpendic . The side A 268 APPLICATION OF THE SQUARE ROOT ...
... side of a square field whose area will be equal to the three pieces ? Ans . 121.11+ rods . 4. W. Scott has 2 house ... side called ? What the other two Hypothenuse . Base . Perpe Perpendic . The side A 268 APPLICATION OF THE SQUARE ROOT ...
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Common terms and phrases
13 leaves 20 per cent acres angle annuity barrels of flour Bought bushels called ciphers circumference common denominator common difference compound interest compound numbers containing cords cost cube root cubic feet denoted diameter discount dividend dollars equal EXAMPLES FOR PRACTICE factors farthings find the interest frustum gain gallons Give the reason given number given sum greatest common divisor hogshead hundred improper fraction inches interest of $1 last term least common least common multiple leaves 11 less miles minuend mixed number molasses months multiplicand Multiply NOTE number of terms obtain paid payment pence present worth principal proportion quantity QUESTIONS QUESTIONS.-Art quotient rate per cent ratio received Reduce remainder rule for finding sell shillings sides simple fraction sold solid square feet square root subtract subtrahend thousand thousandths tons triangle United States money vulgar fraction weight whole number yards
Popular passages
Page 257 - The square of the hypothenuse is equal to the sum of the squares of the other two sides ; as, 5033 402+302.
Page 264 - Multiply the divisor, thus augmented, by the last figure of the root, and subtract the product from the dividend, and to the remainder bring down the next period for a new dividend.
Page 288 - Ans. 75 square feet. 2. What is the difference between the contents of two floors ; one is 37 feet long and 27 feet wide, and the other is 40 feet long and 20 feet wide ? Ans. 199 square feet.
Page 265 - A sphere is a solid, bounded by one continued convex surface, every point of which is equally distant from a point within, called the centre.
Page 254 - Find the greatest square number in the first or left hand period, place the root of it at the right hand of the given number, (after the manner of a quotient in division...
Page 128 - An improper fraction is one whose numerator is equal to, or greater than its denominator ; as, $, -f . A mixed number is a whole number and a fraction expressed together; as, 4f, 25-ht.
Page 199 - Compute the interest to the time of the first payment; if that be one year or more from the time the interest commenced, add it to the principal, and deduct the payment from the sum total. If there be...
Page 294 - To find the solidity of a cylinder. RULE. — Multiply the area of the base by the altitude, and the product will be the solidity.
Page 267 - ... series. The numbers which form the series are called the terms of the series. The first and last terms are the extremes, and the other terms are called the means.
Page 126 - Mnltiple of two or more numbers is the least number that can be divided by each of them without a remainder ; thus 30 is the least common multiple of 10 and 15.