Higher Arithmetic: Or, The Science and Application of Numbers; Combining the Analytic and Synthetic Modes of Instruction ... |
From inside the book
Results 1-5 of 38
Page 12
... RATIO , general principles pertaining to it , Simple Proportion , Simple Proportion and its Proof by Cancelation , Compound Proportion , Compound Proportion and its Proof by Cancelation , Conjoined Proportion , 313 321 1 325 328 330 332 ...
... RATIO , general principles pertaining to it , Simple Proportion , Simple Proportion and its Proof by Cancelation , Compound Proportion , Compound Proportion and its Proof by Cancelation , Conjoined Proportion , 313 321 1 325 328 330 332 ...
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 ...
Page 29
... 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 ...
Contents
85 | |
94 | |
107 | |
114 | |
119 | |
144 | |
156 | |
174 | |
181 | |
189 | |
196 | |
211 | |
217 | |
223 | |
282 | |
289 | |
295 | |
299 | |
307 | |
313 | |
334 | |
340 | |
348 | |
355 | |
365 | |
381 | |
388 | |
394 | |
Other editions - View all
Common terms and phrases
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
Popular passages
Page 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.
Page 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.
Page 66 - The number to be divided is called the dividend. The number by which we divide is called the divisor.
Page 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.
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 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,.
Page 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.
Page 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.
Page 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.
Page 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.