First Lessons in Algebra: Being an Easy Introduction to that Science ; Designated for the Use of Academies and Common SchoolsRussell, Shattuck, & Company, 1835 - 252 σελίδες |
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Σελίδα 8
... Terms being Positive .... Some of the Terms being Negative ..... III . General Rule for Subtraction ... CHAP . IV . MULTIPLICATION . 888 38 39 39 40 42 SECT . I. Simple Quantities .. 45 To multiply a Literal Quantity by a Number ... 46 ...
... Terms being Positive .... Some of the Terms being Negative ..... III . General Rule for Subtraction ... CHAP . IV . MULTIPLICATION . 888 38 39 39 40 42 SECT . I. Simple Quantities .. 45 To multiply a Literal Quantity by a Number ... 46 ...
Σελίδα 9
... Terms .. 77 III . The Signs of Fractions .. 78 IV . Addition ... 80 V. Subtraction 83 VI . Multiplication .85 To multiply a Fraction by an Integral Quantity 85 To multiply one Fraction by another 86 VII . Division ... 87 To divide a ...
... Terms .. 77 III . The Signs of Fractions .. 78 IV . Addition ... 80 V. Subtraction 83 VI . Multiplication .85 To multiply a Fraction by an Integral Quantity 85 To multiply one Fraction by another 86 VII . Division ... 87 To divide a ...
Σελίδα 20
... term , that is , of one letter or number , or of several letters joined to- gether without the sign + or ; as , x ... terms only , as xy , or a b , is called a binomial . The latter expression , ab , is also called a residual quan- tity ...
... term , that is , of one letter or number , or of several letters joined to- gether without the sign + or ; as , x ... terms only , as xy , or a b , is called a binomial . The latter expression , ab , is also called a residual quan- tity ...
Σελίδα 21
... term of a compound quantity , as a + b , the sign is com- monly omitted ; but the sign + is always understood in such cases . Thus , x is the same as + x , and a + b the same as a + b . A Negative quantity is one to be subtracted , and ...
... term of a compound quantity , as a + b , the sign is com- monly omitted ; but the sign + is always understood in such cases . Thus , x is the same as + x , and a + b the same as a + b . A Negative quantity is one to be subtracted , and ...
Σελίδα 23
... terms , which are , in general , op- posed to each other . In any calculation , whatever quantity is assumed as positive , all other quantities of a similar nature , or which tend to increase it , are also positive ; and whatever ...
... terms , which are , in general , op- posed to each other . In any calculation , whatever quantity is assumed as positive , all other quantities of a similar nature , or which tend to increase it , are also positive ; and whatever ...
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Συχνά εμφανιζόμενοι όροι και φράσεις
a b x A's share a² b² a³ b² acres added Algebra answer apples asked the age binomial Binomial Theorem bought bushels cents chaise coefficient common denominator completing the square compound quantities contain cost cube root difference digits Divide 12 dividend divisor dollars equal equation exponent expressed Extract the square farmer fourth power frac gain gallons gentleman give given quantity horse improper fraction less Let x A's letter merator miles an hour mixed Multiply negative quantity obtain oranges positive quantity quan question quotient receive Reduce remainder Required the square rods second power second term SECTION seventh power shillings Simple Quantities sold square root subtracted third power tion tity transposition twice unknown quantity whole worth x y z yards
Δημοφιλή αποσπάσματα
Σελίδα 246 - Several gentlemen made an excursion, each taking the same sum of money. Each had as many servants attending him as there were gentlemen ; the number of dollars which each had was double the number of all the servants, and the whole sum of money taken out was 3456 dollars.
Σελίδα 122 - A man driving his geese to market, was met by another, who said, good morrow, master, with your hundred geese ; says he, I have not a hundred ; but if I had half as many more as I now have, and two geese and a half, I should have a hundred ; how many had he ? /C s"~
Σελίδα 141 - 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.
Σελίδα 251 - The fore-wheel of a carriage makes 6 revolutions more than the hind- wheel in going 120 yards; but if the circumference of each wheel be increased one yard, it will make only 4 revolutions more than the hind-wheel in the same distance.
Σελίδα 68 - Divide the first term of the dividend by the first term of the divisor, giving the first term of the quotient. Multiply the whole divisor by this term, and subtract the product from the dividend, arranging the remainder in the same order of powers as the dividend and divisor.
Σελίδα 237 - A square court yard has a rectangular gravel walk round it. The side of the court wants 2 yards of being 6 times the breadth of the gravel walk ; and the number of square yards in the walk exceeds the number of yards in the periphery of the court by 164. Required the area of the court ? All equations of the second degree may be reduced to one of the following forms.
Σελίδα 138 - A gentleman invested -J of his property in a canal. When he sold out, he lost f of the sum invested, receiving only $1,446. What was the value of his property when he began ? Ans., $11,568. 29. A gentleman leaves $315 to be divided among four servants in the following manner : B is to receive as much as A, and |- as much more; C is to receive as much as A and B, and ^ as much more ; D is to receive as much as the other three, and £ as much more. What is the share of each ? price of the chaise, the...
Σελίδα 131 - There is a fish whose head weighs 9 lb. his tail weighs as much as his head and half his body, and his body weighs as much as his head and tail both.
Σελίδα 166 - If A and B together can perform a piece of work in 8 days, A and C together in 9 days, and B and C in 10 days : how many days would it take each person to perform the same work alone ? Ans.
Σελίδα 125 - The distance from A to D is 34 miles. The distance from A to B is to the distance .from C to D as 2 to 3. And ± of the distance from A to B, added to half the distance from C to D, is three times the distance from B to C. What are the respective distances ? Ans.