An Introduction to Algebra Upon the Inductive Method of InstructionHilliard, Gary, Little, and Wilkins, 1830 - 276 σελίδες |
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Σελίδα 7
... root 131 133 XXIX . Extraction of the second root of fractions 142 XXX . Questions producing pure equations of the second de- gree 145 XXXI . Questions producing pure equations of the third de- gree 150 Extraction of the third root 151 ...
... root 131 133 XXIX . Extraction of the second root of fractions 142 XXX . Questions producing pure equations of the second de- gree 145 XXXI . Questions producing pure equations of the third de- gree 150 Extraction of the third root 151 ...
Σελίδα 138
... root 2 , instead of raising the whole 72 to the se- cond power , we may abridge it very much by observing , that the ... third figure of the root . Ob- serve that the 2d power of 720 or a2 + 2 a b + b2 has already been found and ...
... root 2 , instead of raising the whole 72 to the se- cond power , we may abridge it very much by observing , that the ... third figure of the root . Ob- serve that the 2d power of 720 or a2 + 2 a b + b2 has already been found and ...
Σελίδα 151
... third degree , as in those of the second degree , the power of the unknown quantity must first be separated from the known quantities , and made to stand alone in one member of the equation , by ... Third Root . Extraction of the third root.
... third degree , as in those of the second degree , the power of the unknown quantity must first be separated from the known quantities , and made to stand alone in one member of the equation , by ... Third Root . Extraction of the third root.
Σελίδα 152
... third root , it will be necessary to observe how the third power is formed from the first , when the first consists of several figures . Let a 30 and b = = 5 ; then a + b = 35 . ( a + b ) ' = a + 3 a b + 3 a b2 + 63 . Art . XIII . a2 30 ...
... third root , it will be necessary to observe how the third power is formed from the first , when the first consists of several figures . Let a 30 and b = = 5 ; then a + b = 35 . ( a + b ) ' = a + 3 a b + 3 a b2 + 63 . Art . XIII . a2 30 ...
Σελίδα 153
... root , and the number of trials will be limited to very few . 30 X 30 = 900 , and 900 × 3 = 2700 and 15875 divided by 2700 gives 5. I now add the 5 to the root and it becomes 35 . To see if this is right , I raise 35 to the third power ...
... root , and the number of trials will be limited to very few . 30 X 30 = 900 , and 900 × 3 = 2700 and 15875 divided by 2700 gives 5. I now add the 5 to the root and it becomes 35 . To see if this is right , I raise 35 to the third power ...
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Άλλες εκδόσεις - Προβολή όλων
An Introduction to Algebra: Upon the Inductive Method of Instruction Warren Colburn Πλήρης προβολή - 1837 |
An Introduction to Algebra Upon the Inductive Method of Instruction Warren Colburn Πλήρης προβολή - 1826 |
An Introduction to Algebra Upon the Inductive Method of Instruction Warren Colburn Πλήρης προβολή - 1831 |
Συχνά εμφανιζόμενοι όροι και φράσεις
12 rods 3d power a b c A's share a² b² a² b³ a²x² added algebra algebraic quantities answer the conditions apiece apples approximate root Arith becomes binomial Binomial Theorem bought breadth bushels cents coefficient compound interest compound quantities contain decimal denominator difference divide the number dividend divisor equal equation example exponent expression factor find the root formula fourth fraction gallons gives greater Hence less Let the number letter logarithm merator miles multiplicand negative quantity number consisting number of dollars number of terms observe pears quan question quotient remainder required to find rule second power second root shillings sold square rods subtracted Suppose third power third root tities twice unknown quantity whole number yards zero
Δημοφιλή αποσπάσματα
Σελίδα 92 - It will be seen by the above section that if both the numerator and denominator be multiplied by the same number, the value of the fraction will not be altered...
Σελίδα 2 - District Clerk's Office. BE IT REMEMBERED, That on the seventh day of May, AD 1828, in the fifty-second year of the Independence of the UNITED STATES OF AMERICA, SG Goodrich, of the said District, has deposited in this office the...
Σελίδα 233 - RULE. Multiply the sum of the two extremes by half the number of terms, or multiply...
Σελίδα 234 - The sum of all the terms. Any three of which being given, the other two may be found.
Σελίδα 97 - Hence, to divide a fraction by a fraction, multiply the numerator of the dividend by the denominator of the divisor, and the denominator of the dividend by the numerator of the divisor.
Σελίδα 96 - To divide a whole number by a fraction, — Multiply the dividend by the denominator of the fraction, and divide the product by the numerator.
Σελίδα 35 - ... dollars. How many days did he work, and how many days was he idle ? Ans.
Σελίδα 86 - Multiply the numerators together for a new numerator, and the denominators together for a new denominator.
Σελίδα 149 - ... square feet more than it would, if it were only equal to the breadth. Required the length and breadth of the room. 12. There is a rectangular field, whose length is to its breadth in the proportion of 6 to 5. A part of this, equal to | of the whole, being planted, there remain for ploughing 625 square yards. What are the dimensions of the field r 13.
Σελίδα 276 - The fore wheel of a carriage makes 6 revolutions more than the hind wheel in going 120 yards ; but if the...