Higher Arithmetic: Or the Science and Application of Numbers, Combining the Analytic and Synthetic Modes of Instruction ... |
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Page vi
... carry for them , unless perchance the examples are constructed for the occasion and with special reference to avoiding these difficulties . For the same reason Federal Money , which is based upon the decimal notation , is placed after ...
... carry for them , unless perchance the examples are constructed for the occasion and with special reference to avoiding these difficulties . For the same reason Federal Money , which is based upon the decimal notation , is placed after ...
Page 14
... carry to the mind of every one who is once made acquainted with them . This is to be ascribed partly to the nature of the subjects , and partly to the exactness of the definitions , the axioms , and the demonstrations . 10. A definition ...
... carry to the mind of every one who is once made acquainted with them . This is to be ascribed partly to the nature of the subjects , and partly to the exactness of the definitions , the axioms , and the demonstrations . 10. A definition ...
Page 21
... carried this mode of notation no further . When they had occasion to express a larger number , they did it by repetition . Thus , CCCIDOO , CCCIO , expressed two hundred thousand , & c . 33. The common method of expressing numbers is by ...
... carried this mode of notation no further . When they had occasion to express a larger number , they did it by repetition . Thus , CCCIDOO , CCCIO , expressed two hundred thousand , & c . 33. The common method of expressing numbers is by ...
Page 32
... carrying tens . 53. The principle of carrying may be illustrated in the follow- ing manner . Take , for instance , the last example , and adding as before , write the sum of each column in a separate line . Thus , the sum of the units ...
... carrying tens . 53. The principle of carrying may be illustrated in the follow- ing manner . Take , for instance , the last example , and adding as before , write the sum of each column in a separate line . Thus , the sum of the units ...
Page 33
... carrying it to the next column . 2. From the preceding illustration it will also be seen , that the object of beginning to add at the right hand is , that we may carry the tens , as we pro- ceed in the operation . 54. From the preceding ...
... carrying it to the next column . 2. From the preceding illustration it will also be seen , that the object of beginning to add at the right hand is , that we may carry the tens , as we pro- ceed in the operation . 54. From the preceding ...
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Common terms and phrases
acres added amount annexed answer required apiece Arithmetic avoirdupois barrels bbls bought bushels called canceling ciphers CIRCULATING DECIMALS column common fraction composite number compound numbers cost cube cubic inches decametre decimal figures denotes difference Divide the given dividend division dollars dolls Dry Measure equal expressed farthings Federal Money gallons gals given dividend given fractions given number greatest common divisor Hence hhds hundred hundredths improper fraction insured least common multiple less number method miles mills mixed number months multiplicand Multiply notation Operation partial product payable pence period pounds present worth prime factors prime number principle quantity quotient radix rate per cent ratio remainder right hand figure rods root shillings simple fraction sold square subtract thousandths Troy Troy pound Troy weight units weight whole number wine measure yard
Popular passages
Page 363 - The square described on the hypothenuse of a rightangled triangle is equal to the sum of the squares described on the other two sides.
Page 109 - To reduce a mixed number to an improper fraction. Multiply the whole number by the denominator of the fraction, and to the product add the given numerator.
Page 95 - 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.
Page 98 - A common multiple of two or more numbers, is a number which can be divided by each of them without a remainder. Thus, 12 is a common multiple of 2, 3, and 4 ; 15 is a common multiple of 3 and 5, &c.
Page 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.
Page 373 - When four numbers are in arithmetical progression the sum of the extremes is equal to the sum of the means. Thus, if 5—3 = 9—7, then will 5+7=3+9.
Page 354 - 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.
Page 142 - Britain. 4 farthings (qr, or far.) make 1 penny, marked d. 12 pence " 1 shilling, " s. 20 shillings " 1 pound, or sovereign, £. 21 shillings " 1 guinea. OBS. 1. It is customary, at the present day, to express farthings in fractions of a penny. Thus, 1 qr. is written ;<!;•_
Page 386 - These are usually accounted six in number, viz. the Lever, the Wheel and Axle, the Pulley, the Inclined Plane, the Wedge, and the Screw.
Page 360 - 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.