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### Contenido

 Fundamental Processes of Algebra 1 SECTION V 14 SECTION 37 CHAPTER III 49 SECTION II 58 Proportions 61 75 42 61 Addition 21 22 108 CHAPTER IV 110
 CHAPTER VI 181 SECTION II 190 CHAPTER VII 197 SECTION II 206 CHAPTER VIII 212 SECTION II 224 Commensurable Roots 211 214 227 SECTION IV 233

 SECTION III 121 SECTION IV 138 SECTION V 152 Equations of the First Degree containing two or more Unknown 153
 CHAPTER IX 241 Subtraction 23 24 246 SECTION I 257

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Página 47 - In any proportion the terms are in proportion by Composition and Division ; that is, the sum of the first two terms is to their difference, as the sum of the last two terms is to their difference.
Página 149 - 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.
Página 262 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Página 54 - There is a number consisting of two digits, the second of which is greater than the first, and if the number be divided by the sum of its digits, the quotient is 4...
Página 110 - ... as many times as there are units in the exponent of the required power. Hence...
Página 68 - Ans. —j—. m-\-n 13. Divide the number 46 into two parts, so that when the one is divided by 7, and the other by 3, the sum of the quotients == 10. Ans. 28 and 18. 14. All my journeyings taken together, says a traveller, amount to 3040 miles; of which I have travelled 3Ł times as much by water as on horseback, and 2.
Página 1 - ALGEBRA. CHAPTER I. FUNDAMENTAL PROCESSES OF ALGEBRA. SECTION I. Definitions and Notation. 1. Algebra, according to the usual definition, is that branch of mathematics in which the quantities considered are represented by the letters of the alphabet, and the operations to be performed upon them are indicated by signs. In this sense it would embrace almost the whole science of mathematics, elementary geometry alone being excepted. It is, consequently, subject in common use to some limitations, which...
Página 262 - The logarithm of the quotient is equal to the logarithm of the dividend, diminished by the logarithm of the divisor.
Página 205 - A traveller sets out for a certain place, and travels 1 mile the first day, 2 the second, and so on. In 5 days afterwards another sets out, and travels 12 miles a day. How long and how far must he travel to overtake the first ? 6.
Página 203 - One hundred stones being placed on the ground in a straight line, at the distance of 2 yards from each other, how far will a person travel who shall bring them one by one to a basket, placed at 2 yards from the first stone ? Ans.