The University Arithmetic: Embracing the Science of Numbers, and Their Numerous Applications |
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Page xii
... Root ........ Extraction of the Cube Root .......... 320-326 326-331 ARITHMETICAL PROGRESSION . Definition of , & c . 331-332 Different Cases ..... 333-335 General Examples .... 335 GEOMETRICAL PROGRESSION , ETC. Definition of , & c ...
... Root ........ Extraction of the Cube Root .......... 320-326 326-331 ARITHMETICAL PROGRESSION . Definition of , & c . 331-332 Different Cases ..... 333-335 General Examples .... 335 GEOMETRICAL PROGRESSION , ETC. Definition of , & c ...
Page 318
... root . Thus , in the first example above , 4 is the root , and 16 the square or 2d power of 4 . In the 2d example , 3 is the root , and 27 the 3d power or cube of 3. The first power of a number is the number itself . 305. Involution ...
... root . Thus , in the first example above , 4 is the root , and 16 the square or 2d power of 4 . In the 2d example , 3 is the root , and 27 the 3d power or cube of 3. The first power of a number is the number itself . 305. Involution ...
Page 320
... root is given . Evolution is the reverse of Involution : it teaches how to find the root when the power is known . The root is that number which being multiplied by itself a certain number of times , will produce the given power . The ...
... root is given . Evolution is the reverse of Involution : it teaches how to find the root when the power is known . The root is that number which being multiplied by itself a certain number of times , will produce the given power . The ...
Page 321
... root must contain tens and units The numbers 1 , 4 , 9 , & c . , of the second line , are called perfect squares , because they have exact roots . Let us now see how the formed , say the number 36 . tens or 30 , and 6 units Let the line ...
... root must contain tens and units The numbers 1 , 4 , 9 , & c . , of the second line , are called perfect squares , because they have exact roots . Let us now see how the formed , say the number 36 . tens or 30 , and 6 units Let the line ...
Page 322
... root of 1296 . Since the number contains more than two places , its root will contain tens and units . But as the square of one ten is one hundred , it follows that the ten's place of the required root must be found in the figures on ...
... root of 1296 . Since the number contains more than two places , its root will contain tens and units . But as the square of one ten is one hundred , it follows that the ten's place of the required root must be found in the figures on ...
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Common terms and phrases
acre amount annexed apples arithmetical avoirdupois bill bushels called Cash cent per annum ciphers circulating decimals cloth cost common denominator common difference composite number compound interest contain cube root Day-book decimal fraction decimal places denominate number different denominations divided dividend division dollars equal exact number EXAMPLES excess of 9's exchange expressed feet figures Find the least four fourth frac gallons given denomination given number gives greatest common divisor Hence hogshead hundred hundredths improper fraction June least common multiple lowest terms merchant method miles mills minuend mixed number months multiplicand number of terms numerator and denominator one-half OPERATION paid payable payment pence pound prefixing premium present value prime factors proper fraction QUEST.-What quotient Reduce remainder repetend shillings simple fraction square root subtract tare tens tenths third thousandths troy troy weight units vulgar fraction weight whole number yards of cloth
Popular passages
Page 38 - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees ; each degree into 60 equal parts, called minutes ; and each minute into 60 equal parts, called seconds.
Page 37 - Thirty days hath September, April, June, and November ; All the rest have thirty-one, Except the second month alone, Which has but twenty-eight, in fine, Till leap year gives it twenty-nine.
Page 278 - THE CONDITION of the above obligation is such, that if the above bounden James Wilson, his heirs, executors, or administrators, shall well and truly pay or cause to be paid, unto the above named John Pickens, his executors, administrators, or assigns, the just and full sum of Here insert the condition.
Page 262 - Multiply each payment by its term of credit, and divide the sum of the products by the sum of the payments ; the quotient will be the average term of credit.
Page 279 - ... then the above obligation to be void ; otherwise to remain in full force and virtue.
Page 69 - We have seen that multiplying by a whole number is taking the multiplicand as many times as there are units in the multiplier.
Page 155 - When a decimal number is to be divided by 10, 100, 1000, &c., remove the decimal point as many places to the left as there are ciphers in the divisor, and if there be not figures enough in the number, prefix ciphers.
Page 154 - 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 151 - Now, to express the 6 thousandths decimally, we have to prefix two ciphers to the 6, and this makes as many decimal places in the product as there are in both multiplicand and multiplier.
Page 229 - Compute the interest on the principal to the time of the first payment, and if the payment exceed this interest, add the interest to the principal and from the sum subtract the payment : the remainder forms a new principal.