Algebra for Beginners: With Numerous ExamplesMacmillan, 1863 - 264 σελίδες |
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Σελίδα 31
... quotient . The present section therefore is closely connected with the preceding section , as we have now in fact to undo the operations there performed . It is convenient to make three cases in Division , namely , I. The division of ...
... quotient . The present section therefore is closely connected with the preceding section , as we have now in fact to undo the operations there performed . It is convenient to make three cases in Division , namely , I. The division of ...
Σελίδα 32
... quotient can only be indicated by 5a ÷ 2c , or by Ба 20 · Again , it may happen that some of the factors of the divisor occur in the dividend , but not all of them ; in this case the expression for the quotient can be simplified by a ...
... quotient can only be indicated by 5a ÷ 2c , or by Ба 20 · Again , it may happen that some of the factors of the divisor occur in the dividend , but not all of them ; in this case the expression for the quotient can be simplified by a ...
Σελίδα 33
... quotient can be simplified by Arts . 71 , and 72. Suppose , for example , that 4ab2 is to be divided by 3cb5 ; then the 4ab2 quotient is denoted by The factor 62 occurs in both 3cb5 dividend and divisor ; this may be removed , and the ...
... quotient can be simplified by Arts . 71 , and 72. Suppose , for example , that 4ab2 is to be divided by 3cb5 ; then the 4ab2 quotient is denoted by The factor 62 occurs in both 3cb5 dividend and divisor ; this may be removed , and the ...
Σελίδα 34
... quotient . 4a3 - 3abc + a2c For example , α = 4a2 - 3bc + ac . 75. III . To divide one compound expression by another , we must proceed as in the operation called Long Division in Arithmetic . The following rule may be given . Arrange ...
... quotient . 4a3 - 3abc + a2c For example , α = 4a2 - 3bc + ac . 75. III . To divide one compound expression by another , we must proceed as in the operation called Long Division in Arithmetic . The following rule may be given . Arrange ...
Σελίδα 35
... quotient . We then multiply the whole divisor by 3a2 , and place the result so that each term comes below the term of the dividend which contains the same power of a ; we subtract , and obtain −4a3b + 13a2b2 ; and we bring down the ...
... quotient . We then multiply the whole divisor by 3a2 , and place the result so that each term comes below the term of the dividend which contains the same power of a ; we subtract , and obtain −4a3b + 13a2b2 ; and we bring down the ...
Άλλες εκδόσεις - Προβολή όλων
Algebra for Beginners; With Numerous Examples Isaac Todhunter Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2015 |
Algebra for Beginners: With Numerous Examples Isaac Todhunter Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2015 |
Algebra for Beginners: With Numerous Examples - Primary Source Edition Isaac Todhunter Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2014 |
Συχνά εμφανιζόμενοι όροι και φράσεις
a+b-c a+b+c a²-b² a²+2ab+b² a²+b² Algebra arithmetical means Arithmetical Progression beginner brackets called Cambridge Chapter cloth College compound expression Crown 8vo cube root decimal denominator denote the number digits Divide the number dividend division divisor Edition equal example extract the square factors find the numbers Find the value following expressions gallons Geometrical Geometrical Progression give given greatest common measure half Harmonical means Hence integer least common multiple less Let x denote letter meaning miles multiply number of persons number of terms number represented obtain positive whole number problem quadratic equation quotient ratio remainder result Rule of Signs shew shillings simple expressions Solve square root student subtract Suppose surd third tion transpose travels Treatise unknown quantity
Δημοφιλή αποσπάσματα
Σελίδα 263 - New Edition. Crown 8vo. $s. KEY TO PLANE TRIGONOMETRY. Crown 8vo. los. 6d. A TREATISE ON SPHERICAL TRIGONOMETRY. New Edition, enlarged. Crown 8vo. 4-?. 6d. PLANE CO-ORDINATE GEOMETRY, as applied to the Straight Line and the Conic Sections. With numerous Examples.
Σελίδα 267 - Ferrers. — AN ELEMENTARY TREATISE ON TRILINEAR CO-ORDINATES, the Method of Reciprocal Polars, and the Theory of Projectors. By the Rev. NM FERRERS, MA, Fellow and Tutor of Gonville and Caius College, Cambridge.
Σελίδα 260 - HODGSON -MYTHOLOGY FOR LATIN VERSIFICATION. A brief Sketch of the Fables of the Ancients, prepared to be rendered into Latin Verse for Schools.
Σελίδα 265 - The earlier sections of each chapter contain that kind of matter which has usually been thought suitable for the beginner, while the latter ones are devoted either to an account of recent discovery, or to the discussion of such deeper questions of principle as are likely to present themselves to the reflective student in connection with the methods and processes of his previous course.
Σελίδα 28 - 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. Multiply the whole divisor by the first term of the quotient, and subtract the product from the dividend.
Σελίδα 261 - Mr. Smith's Work is a most useful publication. The Rules are stated with great clearness. The P^xamples are well selected and worked out with just sufficient detail without being encumbered by too minute explanations ; and there prevails throughout it that just proportion of theory and practice, which is the crowning excellence of an elementary work.
Σελίδα 265 - Boole has endeavoured in this treatise to convey as complete an account of the present state of knowledge on the subject of Differential Equations, as was consistent with the idea of a work intended, primarily, for elementary instruction. The earlier sections of each chapter contain that kind of matter which has usually been thought suitable...