Essentials of Algebra for Secondary SchoolsD.C. Heath & Company, 1897 - 411 σελίδες |
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Σελίδα iv
... writing Arithmetic , Geometric , and Harmonic , for Arithmetical , Geometrical , and Harmonical , in the progressions . The author wishes to acknowledge , with hearty thanks , the many suggestions and the assistance that he has received ...
... writing Arithmetic , Geometric , and Harmonic , for Arithmetical , Geometrical , and Harmonical , in the progressions . The author wishes to acknowledge , with hearty thanks , the many suggestions and the assistance that he has received ...
Σελίδα ix
... written 2x . Division is usually indicated by a horizontal line . Thus , a + b is written α 4. The Sign of Equality , = , is read 1.
... written 2x . Division is usually indicated by a horizontal line . Thus , a + b is written α 4. The Sign of Equality , = , is read 1.
Σελίδα x
... written 2x + 4 = 30 . Now if 2x plus 4 equals 30 , 2 x must equal 30 – 4 , or 26 . Whence , 2x = 26 . But if twice x is 26 , x must be one - half of 26 , or 13 . Hence , the less number is 13 , and the greater is 13 + 4 , or 17 . The ...
... written 2x + 4 = 30 . Now if 2x plus 4 equals 30 , 2 x must equal 30 – 4 , or 26 . Whence , 2x = 26 . But if twice x is 26 , x must be one - half of 26 , or 13 . Hence , the less number is 13 , and the greater is 13 + 4 , or 17 . The ...
Σελίδα 1
... written work will stand as follows : x the number of years in B's age . = 13 the number of years in A's age . 13 = 109 . = Let Then , x- By the conditions , x + x Or , 2 x 13 109 . Whence , Dividing by 2 , Therefore , 2 x = 122 . x = 61 ...
... written work will stand as follows : x the number of years in B's age . = 13 the number of years in A's age . 13 = 109 . = Let Then , x- By the conditions , x + x Or , 2 x 13 109 . Whence , Dividing by 2 , Therefore , 2 x = 122 . x = 61 ...
Σελίδα 4
... written at the right of , and above another number , to indicate what power of the latter is to be taken . Thus , a2 , read " a3 , read " 66 a square , " or 66 a cube , " or a second power , " denotes a xa ; a third power , " denotes ...
... written at the right of , and above another number , to indicate what power of the latter is to be taken . Thus , a2 , read " a3 , read " 66 a square , " or 66 a cube , " or a second power , " denotes a xa ; a third power , " denotes ...
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
25 cents 40 cents 9 x² a²b a²b² a³b ab² ab³ Algebra arithmetic means arithmetic progression ax² Binomial Binomial Theorem change the sign Chemistry coefficient common factor Completing the square cube root denominator digits dimes Divide divisor equal EXAMPLES exponent Extracting the square Find the numbers Find the value following equations following rule geometric given equation Hence laboratory less Let the proportion logarithm m²n mantissa members the square miles an hour monomial Multiplying negative number Note number of dollars partial fractions perfect square polynomial positive integer quadratic equation quotient radical sign ratio remainder result second term solution Solve the equation Solve the following square root Substituting Subtracting Transposing unknown quantities Wells's Whence x²y xy² xy³
Δημοφιλή αποσπάσματα
Σελίδα 256 - In any proportion, the terms are in proportion by Composition ; that is, the sum of the first two terms is to the first term as the sum of the last two terms is to the third term.
Σελίδα 244 - To express that the ratio of A to B is equal to the ratio of C to D, we write the quantities thus : A : B : : C : D ; and read, A is to B as C to D.
Σελίδα 357 - Teacher's Manual to Sheldon's History. Puts into the instructor's hand the key to the above system.
Σελίδα 31 - 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 357 - Hall's Method of Teaching History. " Its excellence and helpfulness ought to secure it many readers,
Σελίδα 49 - The square of the difference of two quantities is equal to the square of the first minus twice the product of the first by the second, plus the square of the second.
Σελίδα 247 - In a series of equal ratios, any antecedent is to its consequent, as the sum of all the antecedents is to the sum of all the consequents. Let a: 6 = c: d = e :/. Then, by Art.
Σελίδα 256 - In any proportion the terms are in proportion by Alternation ; that is, the first term is to the third as the second term is to the fourth.
Σελίδα 59 - Arts. 200 and 201 we derive the following rule : Extract the required root of the numerical coefficient, and divide the exponent of each letter by the index of the root.
Σελίδα 289 - The logarithm of a product is equal to the sum of the logarithms of its factors.