Elementary AlgebraMacmillan, 1912 - 341 páginas As far as the authors know, this is the first beginners' book that graphically illustrates the fundamental rules, laws and facts of algebra, and brings into bold relief those portions of it that are indispensable to the study of geometry, physics, and chemistry pursued in secondary schools. The first ten chapters furnish an easy introduction to algebra, with simple problems having natural solutions. The second ten chapters demand more of the student, while fixing principles in the mind by means of examples that move from easy, to those of increasing difficulty. |
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Página 2
... stand for any number whatever . When a number is written before a letter , it indicates multiplication . Thus , 4 a means 4 times a . If a stands for 5 , then 4 a stands for 4 times 5. If a stands for 90 , then 4 a stands for 4 times 90 ...
... stand for any number whatever . When a number is written before a letter , it indicates multiplication . Thus , 4 a means 4 times a . If a stands for 5 , then 4 a stands for 4 times 5. If a stands for 90 , then 4 a stands for 4 times 90 ...
Página 15
... stand are bought for a schoolroom . The dictionary costs five times as much as the stand , and the cost of the dictionary exceeds the cost of the stand by $ 9.60 . Find the cost of each . If 4. A horse costs three times as much as a ...
... stand are bought for a schoolroom . The dictionary costs five times as much as the stand , and the cost of the dictionary exceeds the cost of the stand by $ 9.60 . Find the cost of each . If 4. A horse costs three times as much as a ...
Página 24
... stands at 20 ° above zero . If the temperature falls 10 ° , the mercury will then stand at 10 ° above zero . This may be ... stand at 5 ° above This statement may be expressed algebraically zero . 20 ° 15 ° 5 ° . ― - If the mercury in a ...
... stands at 20 ° above zero . If the temperature falls 10 ° , the mercury will then stand at 10 ° above zero . This may be ... stand at 5 ° above This statement may be expressed algebraically zero . 20 ° 15 ° 5 ° . ― - If the mercury in a ...
Página 25
... stand at 5 ° below zero . This statement may be ex- pressed algebraically 20 ° — 25 ° -5 ° . - +90 +80 +70 +60 +50 +40 +30 +20 +10 0 From an arithmetical point of view , 20-30 is an impossibility . It will be seen later that 20-30 is ...
... stand at 5 ° below zero . This statement may be ex- pressed algebraically 20 ° — 25 ° -5 ° . - +90 +80 +70 +60 +50 +40 +30 +20 +10 0 From an arithmetical point of view , 20-30 is an impossibility . It will be seen later that 20-30 is ...
Página 29
... stands at 12 ° one day and at 28 ° the next day , how many degrees does the mercury rise ? 4. If the mercury stands at -10 ° and rises to + 8 ° , how many degrees does it rise ? - 5. If the mercury stands at 4 ° and rises to + 20 ...
... stands at 12 ° one day and at 28 ° the next day , how many degrees does the mercury rise ? 4. If the mercury stands at -10 ° and rises to + 8 ° , how many degrees does it rise ? - 5. If the mercury stands at 4 ° and rises to + 20 ...
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Términos y frases comunes
A's money a²b² a³b ab³ algebraic angle arithmetic arithmetic mean ax² BCHL bushels called Check coefficient cube root denominator digits distance Divide divisor equal equation Example exceeds EXERCISE exponent expression Extract the square factors feet Find its dimensions Find the cost Find the number Find the sum Find the value fraction geometric Hence horses inches length logarithms mantissa marked price mercury miles an hour monomial Multiply nth root number of acres number of dollars number of yards numbers differ odd numbers polynomial pounds quadratic quadratic equation quotient ratio real numbers rectangle SOLUTION Solve square miles square root square yards subtract surd symbols Transposing travels twice width x²+1 x²y x²y² xy² zero
Pasajes populares
Página 3 - The part of the equation which is on the left of the sign of equality is called the first member ; the part on the right of the sign of equality, the second member.
Página 78 - The sum of the ages of a father and his son is 36, and in 10 years the son's age will be | of the father's age.
Página 143 - That is, the square of the sum of two numbers is equal to the square of the first number, plus twice the product of the two numbers, plus the square of the second number.
Página 60 - To divide a polynomial by a monomial, divide each term of the polynomial by the monomial: (Sab — 12ac) -i- 4a = 36 — 3c.
Página 72 - I cannot demonstrate, that two quantities which are equal to the same quantity, are equal to each other; neither can I demonstrate that the tree which I perceive exists.
Página 172 - In any proportion, the product of the means equals the product of the extremes.
Página 74 - A term may be transposed from one member of an equation to the other by changing its sign.
Página 63 - Thus, |-, -f, f, f, -|-, etc., are improper fractions. The numerator and the denominator are called the terms of a fraction.
Página 167 - The ratio of one quantity to another quantity of the same kind is the quotient of the first quantity divided by the second quantity. Thus, the ratio of 2 feet to 3 feet 2 is the quotient of 2 feet divided by 3 feet, ie -• о Magnitudes of the same kind only can be compared.