Elementary Algebra for SchoolsMacmillan and Company, 1885 - 358 sider |
Inni boken
Resultat 1-5 av 57
Side 4
... equal to 0 , the whole product must be equal to 0 , whatever values the other factors may have . A factor 0 is sometimes called a 66 zero factor " Example 1. If x = 0 , then ab3xy2 = 4 ALGEBRA .
... equal to 0 , the whole product must be equal to 0 , whatever values the other factors may have . A factor 0 is sometimes called a 66 zero factor " Example 1. If x = 0 , then ab3xy2 = 4 ALGEBRA .
Side 5
... equal to the given expression . Thus the square root of 81 is 9 , because 92 = 81 . The square root of a is denoted by a , or more simply √a . Similarly the cube , fourth , fifth , & c . , root of any expression is that quantity whose ...
... equal to the given expression . Thus the square root of 81 is 9 , because 92 = 81 . The square root of a is denoted by a , or more simply √a . Similarly the cube , fourth , fifth , & c . , root of any expression is that quantity whose ...
Side 7
... equal . Beginners should be particularly careful not to employ the sign of equality in any vague and inexact sense . 3. Unless the expressions are very short the signs of equality in the several steps of the work should be placed one ...
... equal . Beginners should be particularly careful not to employ the sign of equality in any vague and inexact sense . 3. Unless the expressions are very short the signs of equality in the several steps of the work should be placed one ...
Side 11
... equal but with opposite signs is zero . Thus the sum of 5a and — 5a is 0 . Example 3. Find the sum of fa , 3a , -a , -2a . The sum = 31a - 21a , Find the sum of = 11a , = 3a . EXAMPLES II . 1. 5a , 7a , 11a , a , 23a . 2. 4x , x , 3x ...
... equal but with opposite signs is zero . Thus the sum of 5a and — 5a is 0 . Example 3. Find the sum of fa , 3a , -a , -2a . The sum = 31a - 21a , Find the sum of = 11a , = 3a . EXAMPLES II . 1. 5a , 7a , 11a , a , 23a . 2. 4x , x , 3x ...
Side 16
... equal to -3a . Find the sum of EXAMPLES III . a . 1. a + 2b - 3c ; -3a + b + 2c ; 2a - 3b + c . 2. 3a + 2b - c ; −a + 3b + 2c ; 2a - b + 3c . 3 . 4 . -3x + 2y + z ; x - 3y + 2z ; 2x + y − 3z . −x + 2y + 3z ; 3x − y + 2z ; 2x + 3y ...
... equal to -3a . Find the sum of EXAMPLES III . a . 1. a + 2b - 3c ; -3a + b + 2c ; 2a - 3b + c . 2. 3a + 2b - c ; −a + 3b + 2c ; 2a - b + 3c . 3 . 4 . -3x + 2y + z ; x - 3y + 2z ; 2x + y − 3z . −x + 2y + 3z ; 3x − y + 2z ; 2x + 3y ...
Andre utgaver - Vis alle
Elementary Algebra for Schools Henry Sinclair Hall,Samuel Ratcliffe Knight Uten tilgangsbegrensning - 1885 |
Elementary Algebra for Schools Henry Sinclair Hall,Samuel Ratcliffe Knight Uten tilgangsbegrensning - 1885 |
Elementary Algebra for Schools [microform]: With Answers H S (Henry Sinclair) 1848-1934 Hall,S R (Samuel Ratcliffe) Knight Ingen forhåndsvisning tilgjengelig - 2021 |
Vanlige uttrykk og setninger
a+3b a+b+c a²+b² arithmetic means beginner brackets Cambridge CHAPTER Clifton College coefficient common difference Crown 8vo cube root DEFINITION digits Divide division divisor Edition ELEMENTARY TREATISE equal equation EXAMPLES XVII Extra fcap Fcap feet Find the highest find the number Find the square Find the sum Find the value following expressions fraction geometric given expressions Globe 8vo harmonic means Hence highest common factor integers least common multiple lowest common multiple Mathematics method miles an hour Multiply number of terms numerator and denominator numerous Illustrations obtain pounds Professor prove quadratic quotient ratio remainder Resolve into factors result rule rule of signs School shew shillings Simplify solution Solve square root student subtraction surds symbols Trinity College unknown quantity walk whence yards
Populære avsnitt
Side 13 - Crown 8vo. lor, 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.
Side 3 - BROOK-SMITH (J.)— ARITHMETIC IN THEORY AND PRACTICE. By J. BROOK-SMITH, MA, LL.B., St. John's College, Cambridge ; Barrister-at-Law ; one of the Masters of Cheltenham College. New Edition, revised.
Side 32 - EUROPEAN HISTORY. Narrated in a Series of Historical Selections from the Best Authorities. Edited and arranged by EM SEWELL and CM YONGE. First Series, 1003 — 1154. Third Edition. Crown 8vo. 6s. Second Series, 1088—1228. Crown 8vo. 6s. Third Edition. " We know of scarcely anything which is so likely to raise to a higher level the average standard of English education.
Side 24 - GRAY— STRUCTURAL BOTANY, OR ORGANOGRAPHY ON THE BASIS OF MORPHOLOGY. To which are added the principles of Taxonomy and Phytography, and a Glossary of Botanical Terms.
Side 4 - Prize Essay for 1877. 8vo. &r. 6d. SMITH— Works by the Rev. BARNARD SMITH, MA, Rector of Glaston, Rutland, late Fellow and Senior Bursar of St. Peter's College, Cambridge. ARITHMETIC AND ALGEBRA, in their Principles and Application ; with numerous systematically arranged Examples taken from the Cambridge Examination Papers, with especial reference to the Ordinary Examination for the BA Degree.
Side 18 - THE FIRST THREE SECTIONS OF NEWTON'S PRINCIPIA, With Notes and Illustrations. Also a collection of Problems, principally intended as Examples of Newton's Methods. By PERCIVAL FROST, MA Third Edition.
Side 21 - LESSONS IN ELEMENTARY CHEMISTRY, INORGANIC AND ORGANIC. By HENRY E. ROSCOE, FRS, Professor of Chemistry in Owens College, Manchester. With numerous Illustrations and Chromo-Litho of the Solar Spectrum, and of the Alkalies and Alkaline Earths. New Edition. Fcap. 8vo. 4*. 6d. , '* As a standard general text-book it deserves to take a leading place." — SPECTATOR. *' We unhesitatingly pronounce it the best of all our elementary treatises on Chemistry,
Side 8 - CLIFFORD— THE ELEMENTS OF DYNAMIC. An Introduction to the Study of Motion and Rest in Solid and Fluid Bodies.
Side 30 - Stands alone as the one general history of the country, for the sake of which all others, if young and old are wise, will be speedily and surely set aside.
Side 7 - BOOLE— Works by G. BOOLE, DCL, FRS, late Professor of Mathematics in the Queen's University, Ireland. A TREATISE ON DIFFERENTIAL EQUATIONS. Third and Revised Edition.