First Lessons in Algebra: Being an Easy Introduction to that Science, Designed for the Use of Academies and Common SchoolsJenks & Palmer, 1847 - 252 σελίδες |
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Σελίδα 12
... Another Way to Complete the Square ... 229 230 III . Questions producing Affected Equations ...... 234 To find the Second Power of a Surd .... 238 CHAP . XII . MISCELLANEOUS QUESTIONS .. ... 241 FIRST LESSONS IN ALGEBRA CHAPTER I ...
... Another Way to Complete the Square ... 229 230 III . Questions producing Affected Equations ...... 234 To find the Second Power of a Surd .... 238 CHAP . XII . MISCELLANEOUS QUESTIONS .. ... 241 FIRST LESSONS IN ALGEBRA CHAPTER I ...
Σελίδα 90
... Power of the letter ; that is , how many times it is used as a factor in the ... second power ; a xa xa = a3 is the third power ; a xa x axaa is the fourth ... POWERS Involution of Simple Quantities To divide Compound Quantities of different ...
... Power of the letter ; that is , how many times it is used as a factor in the ... second power ; a xa xa = a3 is the third power ; a xa x axaa is the fourth ... POWERS Involution of Simple Quantities To divide Compound Quantities of different ...
Σελίδα 91
... power ; a2 = 32 , or 3 x3 = 9 , the second power ; a = 33 , or 3 x 3 x3 = a434 , or 3 x 3 x3x3 = 27 , the third - power ; 81 , the fourth power , & c . The coefficient and the exponent of a quantity , be- ing very different things ...
... power ; a2 = 32 , or 3 x3 = 9 , the second power ; a = 33 , or 3 x 3 x3 = a434 , or 3 x 3 x3x3 = 27 , the third - power ; 81 , the fourth power , & c . The coefficient and the exponent of a quantity , be- ing very different things ...
Σελίδα 92
... power . 12. What is the fourth power of 2 a b c ? 2 a b c , first ― 2 a b c - power . +4 a2 b2 c2 , second power . -- 2 a b C -8 a3 63 c3 , third power 2 a b c +16 a4 b4c4 , fourth power . Hence it appears , that when the root or first ...
... power . 12. What is the fourth power of 2 a b c ? 2 a b c , first ― 2 a b c - power . +4 a2 b2 c2 , second power . -- 2 a b C -8 a3 63 c3 , third power 2 a b c +16 a4 b4c4 , fourth power . Hence it appears , that when the root or first ...
Σελίδα 93
... II . Involution of Compound Quantities . 1. It is required to find the fifth power of the bi- nomial quantity a + b . a + b , first power . a + b a2 + a b ab + b2 a2 + 2ab + b2 , second power . a + b a3 +2 a2b + a be a2 b + 2 a b2 +63 + ...
... II . Involution of Compound Quantities . 1. It is required to find the fifth power of the bi- nomial quantity a + b . a + b , first power . a + b a2 + a b ab + b2 a2 + 2ab + b2 , second power . a + b a3 +2 a2b + a be a2 b + 2 a b2 +63 + ...
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First Lessons in Algebra: Being an Easy Introduction to That Science ... Ebenezer Bailey Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2016 |
First Lessons in Algebra: Being an Easy Introduction to That Science ... Ebenezer Bailey Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2016 |
Συχνά εμφανιζόμενοι όροι και φράσεις
a b c a b x A's share a² b² a² b³ acres added Algebra algebraic quantity amount answer asked the age barrels binomial bought bushels cents coefficient common denominator completing the square compound quantity contain cost cube root debt difference Divide 18 dividend divisor equal exponent expressed Extract the square farmer fourth power gain gallons gentleman give given quantity horse improper fraction less Let x A's letter miles an hour negative quantity obtain oranges peaches positive quantity quan question quotient Reduce remainder Required the number Required the square rods root of a² second power second term SECTION shillings Simple Quantities sold square root subtracted third power tion tity transposition twice unknown quantity worth x y z yards
Δημοφιλή αποσπάσματα
Σελίδα 68 - 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.
Σελίδα 120 - 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 68 - Then divide the first term of the remainder by the first term of the divisor...
Σελίδα 242 - 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 235 - 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 136 - 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 164 - 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 129 - 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 123 - 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.
Σελίδα 220 - Each man received one third as many shillings as there were persons relieved ; and each woman received twice as many shillings as there were women more than men. The men received all together 18s.