Treatise on the elements of algebra |
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Results 1-5 of 14
Page 1
... consisting of figures , or of letters , or of both combined : thus , 5 , 19 , are called numbers ; while 5 , 19 , 4a , may all be called quan- tities . - See Note B at the end of the Volume . A 2. II . The sign ( read minus ) indicates ...
... consisting of figures , or of letters , or of both combined : thus , 5 , 19 , are called numbers ; while 5 , 19 , 4a , may all be called quan- tities . - See Note B at the end of the Volume . A 2. II . The sign ( read minus ) indicates ...
Page 10
... consist of parts connected by either of the signs or is called a sim- ple quantity : thus , 7 and x are simple quantities . In like manner , 6 × 3 × 4 is a simple quantity ; also , 12 ax , and bc ... consisting of two terms 10 DEFINITIONS .
... consist of parts connected by either of the signs or is called a sim- ple quantity : thus , 7 and x are simple quantities . In like manner , 6 × 3 × 4 is a simple quantity ; also , 12 ax , and bc ... consisting of two terms 10 DEFINITIONS .
Page 11
... consisting of more terms than two is called a multi- nomial or polynomial quantity . The names trinomial and quadrinomial are sometimes given to quantities consisting of three and four terms . ― 21. XVII . A parenthesis enclosing an ...
... consisting of more terms than two is called a multi- nomial or polynomial quantity . The names trinomial and quadrinomial are sometimes given to quantities consisting of three and four terms . ― 21. XVII . A parenthesis enclosing an ...
Page 62
... consist of several parts , each of which has a common divisor , p , then will the whole number composed of these parts be divisible by p . 55. III . The greatest common measure of two numbers is found by dividing the greater by the less ...
... consist of several parts , each of which has a common divisor , p , then will the whole number composed of these parts be divisible by p . 55. III . The greatest common measure of two numbers is found by dividing the greater by the less ...
Page 132
... consisting of any number of terms . It is upon this principle that the root has been found in the second Example of the Rule . When we apply the Rule to quantities which are not complete squares , that is , to quantities which are not ...
... consisting of any number of terms . It is upon this principle that the root has been found in the second Example of the Rule . When we apply the Rule to quantities which are not complete squares , that is , to quantities which are not ...
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Common terms and phrases
4th power added Algebra algebraic quantities ANSWERS arithmetical ax² Belfast Academy binomial binomial theorem called coefficient common denominator common divisor compound quantity contained cube root cubic equation denote difference Divide dividend divisor equal equidifferent EXAMPLES FOR PRACTICE expressed Extract the square factors Find the sum find the value Given Equations gives greatest common measure Hence hypotenuse indicates infinite series least common multiple letters linear units logarithms means multiplied negative quantities nth root number of terms odd number plain positive prime proportion quadratic quadratic equation quan quotient ratio Reduce remainder Required the number RULE second term sides solved square root substitution subtracted surds symbol tion tity transposing transposition unknown quantities whence Art whole number
Popular passages
Page 249 - London, in order to distinguish his own from any he might meet on the road, pulled three feathers out of the tail of each turkey, and one out of the tail of each goose ; and, upon counting them, found that the number of turkey's feathers exceeded twice those of the geese by 15.
Page 271 - The logarithm of a product is equal to the sum of the logarithms of its factors.
Page 242 - A vintner sold 7 dozen of sherry and 12 dozen of claret for £50, and finds that he has sold 3 dozen more of sherry for £10 than he has of claret for £6. Required the price of each.
Page 256 - In any proportion, the product of the means is equal to the product of the extremes.
Page 256 - In any series of numbers in arithmetical progression, the sum of the two extremes is equal to the sum of any two terms equally distant from them; as in the latter of the above series 6 + 1=4+3, and =5+2.
Page 294 - To cut a given straight line so that the rectangle contained by the whole and one of the segments is equal to the square on the remaining segment.
Page 249 - ... feathers exceeded twice those of the geese by 15. Having bought 10 geese and sold 15 turkeys by the way, he was surprised to find, as he drove them into the poulterer's yard, that the number of geese exceeded the number of turkeys in the proportion of 7 to 3.
Page 246 - A man and his wife usually drank out a cask of beer in 12 days ; but when the man was from home, it lasted the woman 30 days ; how many days would the man alone be in drinking it ? Ans.
Page 250 - There are two square buildings, that are paved with stones, a foot square each. The side of one building exceeds that of the other by 12 feet, and both their pavements taken together contain 2120 stones. What are the lengths of them separately 1 Ans.
Page 249 - A man and his wife could drink a barrel of beer in 15 days. After drinking together 6 days, the woman alone drank the remainder in 30 days. In what time would either alone drink a barrel...