Higher Arithmetic: Or, The Science and Application of Numbers; Combining the Analytic and Synthetic Modes of Instruction ...Ivison & Phinney, 1847 - 422 σελίδες |
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Σελίδα 13
... called QUANTITY . Thus , lines , weight , time , number , & c . , are quantities . OBS . 1. A line is a quantity , because it can be measured in feet and inches ; weight can be measured in pounds and ounces ; time , in hours and minutes ...
... called QUANTITY . Thus , lines , weight , time , number , & c . , are quantities . OBS . 1. A line is a quantity , because it can be measured in feet and inches ; weight can be measured in pounds and ounces ; time , in hours and minutes ...
Σελίδα 15
... called the data of the proposition . 2. The operation by which the answer of a problem is found , is called a solution . 3. When the given problem is so easy , as to be obvious to every one without explanation , it is called a postulate ...
... called the data of the proposition . 2. The operation by which the answer of a problem is found , is called a solution . 3. When the given problem is so easy , as to be obvious to every one without explanation , it is called a postulate ...
Σελίδα 16
... called reductio ad absurdum . The former is the more com- mon method of conducting a demonstrative argument , and is the most satisfac tory to the mind . 17. A Lemma is a subsidiary truth or proposition , demon- strated for the purpose ...
... called reductio ad absurdum . The former is the more com- mon method of conducting a demonstrative argument , and is the most satisfac tory to the mind . 17. A Lemma is a subsidiary truth or proposition , demon- strated for the purpose ...
Σελίδα 17
... called plus . It consists of two lines , one horizontal , the other perpen- licular , forming a cross , and shows that the numbers between which it is placed , are to be added together . Thus , the expression 6 + 8 , signifies that 6 is ...
... called plus . It consists of two lines , one horizontal , the other perpen- licular , forming a cross , and shows that the numbers between which it is placed , are to be added together . Thus , the expression 6 + 8 , signifies that 6 is ...
Σελίδα 18
... called a vinculum , or by a parenthesis ( ) . Thus the expression ( 12 + 3 ) x2 , shows that the sum of 12 and 3 , is to be multiplied by 2 , and is equal to 30. But 12 + 3 × 2 , signifies that 3 only is to be multiplied by 2 , and that ...
... called a vinculum , or by a parenthesis ( ) . Thus the expression ( 12 + 3 ) x2 , shows that the sum of 12 and 3 , is to be multiplied by 2 , and is equal to 30. But 12 + 3 × 2 , signifies that 3 only is to be multiplied by 2 , and that ...
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Συχνά εμφανιζόμενοι όροι και φράσεις
acres amount annexed answer required apiece Arithmetic avoirdupois bank discount barrels bbls bought bushels called cancel ciphers CIRCULATING DECIMALS common fraction composite number compound numbers cost cube decimal figures denotes difference Divide the given dividend division dollars dolls Dry Measure equal expressed farthings Federal Money gallons gals given fractions given number greatest common divisor Hence hhds hundred hundredths improper fraction insured interest of $1 least common denominator least common multiple less number miles mills mixed number months multiplicand Multiply notation number of days odd number Operation partial product payable pence period pound present worth prime factors prime number principal quotient rate per cent ratio remainder right hand figure rods root shillings simple fraction sold square subtract thousandths Troy Troy weight units usury weight whole number wine measure yards
Δημοφιλή αποσπάσματα
Σελίδα 371 - The square described on the hypothenuse of a rightangled triangle is equal to the sum of the squares described on the other two sides.
Σελίδα 76 - Cut off as many figures from the right hand of the dividend as there are ciphers in the divisor. The remaining figures of the dividend will be the quotient, and those cut off the remainder.
Σελίδα 66 - The number to be divided is called the dividend. The number by which we divide is called the divisor.
Σελίδα 99 - The greatest common divisor of two or more numbers, is the greatest number which will divide them without a remainder. Thus 6 is the greatest common divisor of 12, 18, 24, and 30.
Σελίδα 17 - It shows that the numbers between which it is placed are to be multiplied together ; thus, the expression 7 x 5 = 35 is read, 7 multiplied by 5 is equal to 35.
Σελίδα 149 - Weight is used by apothecaries and physicians in compounding dry medicines. TABLE. 20 Grains (gr.} = 1 Scruple, . . sc., or 3. 3 Scruples = 1 Dram, . . dr., or 3 . 8 Drams = 1 Ounce, . . oz., or § . 12 Ounces = 1 Pound, . . Ib., or ft,.
Σελίδα 206 - RULE. Divide as in whole numbers, and from the right hand of the quotient point off as many places for decimals as the decimal places in the dividend exceed those in the divisor.
Σελίδα 44 - PROOF.—Add the remainder to the smaller number ; and if the sum is equal to the larger number, the work is right. OBS. This method of proof depends upon the principle, that the difference between two numbers being added to the less, the sum must be equal to the greater.
Σελίδα 368 - Multiply the divisor, thus increased, by the last figure of the root; subtract the product from the dividend, and to the remainder bring down the next period for a new dividend.
Σελίδα 369 - The square of the sum of two numbers is equal to the square of the first number plus twice the product of the first and second number plus the square of the second number.