Higher Arithmetic, Or, the Science and Application of Numbers: Combining the Analytic and Synthetic Modes of Instruction : Designed for Advanced Classes in Schools and Academies |
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Page v
... divided into progressive lessons of convenient length , begin- ning with the simplest combinations of numbers , and advancing by grad- ual steps , to more difficult operations , as the mind of the learner expands and is prepared to ...
... divided into progressive lessons of convenient length , begin- ning with the simplest combinations of numbers , and advancing by grad- ual steps , to more difficult operations , as the mind of the learner expands and is prepared to ...
Page 13
... divided , & c . 2. Color , and the operations of the mind , as love , hatred , desire , choice , & c . , cannot be multiplied , divided , or measured , and therefore cannot properly be called quantities . 2. MATHEMATICS is the science ...
... divided , & c . 2. Color , and the operations of the mind , as love , hatred , desire , choice , & c . , cannot be multiplied , divided , or measured , and therefore cannot properly be called quantities . 2. MATHEMATICS is the science ...
Page 16
... divided by the same or equal quan- tities , the quotients will be equal . 8. If the same quantity is both added to and subtracted from another , the value of the latter will not be altered . QUEST - 17 . What is a lemma ? 18. What is a ...
... divided by the same or equal quan- tities , the quotients will be equal . 8. If the same quantity is both added to and subtracted from another , the value of the latter will not be altered . QUEST - 17 . What is a lemma ? 18. What is a ...
Page 17
... divided by the same or an equal quantity , its value will not be altered . 10. The whole of a quantity is greater than a part . 11. The whole of a quantity is equal to the sum of all its parts . SIGNS . 22. Addition is represented by ...
... divided by the same or an equal quantity , its value will not be altered . 10. The whole of a quantity is greater than a part . 11. The whole of a quantity is equal to the sum of all its parts . SIGNS . 22. Addition is represented by ...
Page 18
... divided by the number after it . Thus , the expression 24 ÷ 6 signifies that 24 is to be divided by 6 . Second , division is often expressed by placing the divisor under the dividend , in the form of a fraction . Thus , the expression ...
... divided by the number after it . Thus , the expression 24 ÷ 6 signifies that 24 is to be divided by 6 . Second , division is often expressed by placing the divisor under the dividend , in the form of a fraction . Thus , the expression ...
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Common terms and phrases
acres amount Analysis annexed answer required Arithmetic assessed avoirdupois bank discount barrel bbls bought bushels called canceling ciphers CIRCULATING DECIMALS common denominator common fraction composite number compound numbers contains cost decimal figures decimal places denotes difference dividend division dollars dolls Dry Measure equal expressed farthings Federal Money gain gallons gals given fractions given number greatest common divisor Hence hhds hundred hundredths improper fraction insured interest of $1 least common multiple miles millionths mills mixed number mixture months multiplicand Multiply number of days number of terms Operation paid partial product payable pence period pound premium present worth prime factors principal proportion quantity quotient rate per cent ratio remainder rods shillings sold subtract tenths thousandths Troy Troy pound Troy weight units usury weight whole number wine measure yard
Popular passages
Page 373 - Now (4)2+(3)2=25 sq. ft. ; and the square described on BC also contains 25 sq. ft. Hence, the square described on the hypothenuse of any right-angled triangle, is equal to the sum of the squares described on the other two sides.
Page 374 - A mean proportional between two numbers is equal to the square root of their product.
Page 272 - ... the interest on this amount for the next year, or specified time, and add it to the principal as before. Proceed in this manner with each successive year...
Page 265 - 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 after payments made, compute the interest on the balance due to the next payment, and then deduct the payment as above ; and, in like manner, from one payment to another, till all the payments are absorbed; provided the time between one payment and another be one year or more.
Page 385 - Divide the difference of the extremes by the common difference, and the quotient increased by 1 will be the number of terms.
Page 68 - The number to be divided is called the dividend. The number by which we divide is called the divisor.
Page 338 - X 5'" = 20"'". Hence the RULE. I. Write the several terms of the multiplier under the corresponding terms of the multiplicand. II. Multiply each term of the multiplicand by each term of the multiplier...
Page 208 - 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 263 - If the payment be less than the interest, the surplus of interest must not be taken to augment the principal; but interest continues on the former principal until the period when the payments, taken together, exceed the interest due, and then the surplus is to be applied towards discharging the principal; and interest is to be Computed on the balance, as aforesaid.
Page 370 - 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.