Higher Arithmetic: Or the Science and Application of Numbers, Combining the Analytic and Synthetic Modes of Instruction ... |
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Page xii
... RATIO , general principles pertaining to it , 313 Simple Proportion , Simple Proportion and its Proof by Cancelation , Compound Proportion , · 321 325 328 Compound Proportion and its Proof by Cancelation , 330 Conjoined Proportion , 332 ...
... RATIO , general principles pertaining to it , 313 Simple Proportion , Simple Proportion and its Proof by Cancelation , Compound Proportion , · 321 325 328 Compound Proportion and its Proof by Cancelation , 330 Conjoined Proportion , 332 ...
Page 23
... ratio ; consequently each removal of a figure one place towards the left , in- creases its value ten times . Note . - 1 . The number which forms the basis , or which expresses the ratio of increase in a system of Notation , is called ...
... ratio ; consequently each removal of a figure one place towards the left , in- creases its value ten times . Note . - 1 . The number which forms the basis , or which expresses the ratio of increase in a system of Notation , is called ...
Page 24
... ratio . The term decimal is derived from the Latin word decem , which sig- nifies ten . 3. The early history of the Arabic notation is veiled in obscurity . It is the opinion of some whose judgment is entitled to respect , that it was ...
... ratio . The term decimal is derived from the Latin word decem , which sig- nifies ten . 3. The early history of the Arabic notation is veiled in obscurity . It is the opinion of some whose judgment is entitled to respect , that it was ...
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... ratio , or has five for its radix , it would require four significant figures and a cipher . Let the figures 1 , 2 , 3 , 4 , and 0 , be the characters employed ; then five would be expressed by 1 and 0 , and would be written thus 10 ...
... ratio , or has five for its radix , it would require four significant figures and a cipher . Let the figures 1 , 2 , 3 , 4 , and 0 , be the characters employed ; then five would be expressed by 1 and 0 , and would be written thus 10 ...
Page 30
... ratio were less , it would require more places of figures to express large numbers ; if the ratio were larger , it would not indeed require so many figures , but the operations would manifestly be more difficult than at present , on ...
... ratio were less , it would require more places of figures to express large numbers ; if the ratio were larger , it would not indeed require so many figures , but the operations would manifestly be more difficult than at present , on ...
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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.