Sheldons' Complete Algebra: Part I Being Sheldon's Elements of Algebra, Part II Being More Advanced Algebra, Parts 1-2 |
Contents
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Other editions - View all
Sheldons' Complete Algebra: Part 1, Being Sheldons' Elements of Algebra ... Sheldon and Company No preview available - 2016 |
Sheldons' Complete Algebra: Part 1, Being Sheldons' Elements of Algebra ... Sheldon And Company No preview available - 2017 |
Common terms and phrases
3x²y 3xy² a² b2 a²b a²b² a²x² algebraic arithmetical arithmetical progression arithmetical series ax² binomial bushels cents Clearing of fractions cost cube root denominator differential divided dollars equal equation containing EXERCISES exponent expression Extracting square root factors Find the number find the sum find the value gallons geometrical progression geometrical series gives Hence hour less letters logarithm miles miles per hour monomials polynomial quadratic equation quadratic form quotient radical ratio Reduce remainder Required to find Required to solve rods Rule.-I second term Solution solve the equation Substituting Subtracting Transposing and uniting trial divisor unknown quantity variable Whence Write x²y x²y² x³y xy² xy³ ах
Popular passages
Page 43 - The square of the difference of two quantities is equal to the square of the first, minus twice the product of the first by the second, plus the square of the second.
Page 50 - Divide the first term of the dividend by the first term of the divisor, and write the result as the first term of the quotient. Multiply the whole divisor by the first term of the quotient, and subtract the product from the dividend.
Page 367 - COR. — The differential of a fraction having a constant numerator and a, variable denominator is the product of the numerator with its sign changed into the differential of the denominator, divided by the square of the denominator. Let...
Page 276 - Hence -,- = -76" dn that is a" : b" = c" : dn THEOREM IX. 23 1 If any number of quantities are proportional, any antecedent is to its consequent as the sum of all the antecedents is to the sum of all the consequents. Let a : b = c : d...
Page 265 - The fore wheel of a carriage makes 6 revolutions more than the hind wheel in going 120 yards ; but if the periphery of each wheel be increased one yard, it will make only 4 revolutions more than the hind wheel in the same space. Required the circumference of each.
Page 148 - What were the two sums of money? Ans. One was $3420, the other $2520. Prob. 2. There is a number consisting of two digits ; the number is equal to three times the sum of its digits, and if it be multiplied by three, the result will be equal to the square of the sum of its digits. Find the number. Ans. 27. Prob. 3. A merchant sold two bales of goods for the sum of $987-|, the first at a loss of 8f per cent., the second at a loss of 11 J per cent.
Page 263 - Two persons, A and B, depart from the same place, and travel in the same direction ; A starts 2 hours before B, and after traveling 30 miles, B overtakes A ; but had each of them traveled half a mile more per hour, B would have traveled 42 miles before overtaking A. At what rate did they travel ? Ans. A 2A, and B 3 miles per hour.
Page 123 - A composition of copper and tin, containing 100 cubic inches, weighed 505 ounces ; how many ounces of each metal did it contain, supposing a cubic. inch of copper to weigh 5£ oz., and a cubic inch of tin to weigh 4J oz.
Page 280 - There is a number consisting of three digits, the first of which is to the second as the second is to the third; the number itself is to the sum of its digits as 124 to 7; and if 594 be added to it the digits will be inverted. What is the number ? equal returns.
Page 126 - A father gives to his five sons $1000, which they are to divide according to their ages, so that each elder son shall receive $20 more than his next younger brother. What is the share of the youngest ? Ans. $160.