A Treatise on AlgebraHarper & brothers, 1846 - 346 páginas |
Dentro del libro
Resultados 1-5 de 56
Página 10
... represent quantities by particular numbers , as 2 , 5 , 7 , etc. which numbers always retain the same value . The results obtained , therefore , are applicable only to the particular question proposed . Thus , if it is required to find ...
... represent quantities by particular numbers , as 2 , 5 , 7 , etc. which numbers always retain the same value . The results obtained , therefore , are applicable only to the particular question proposed . Thus , if it is required to find ...
Página 12
... represent them by letters , as a , b , c , d , etc. Thus the expression a + b signifies the sum of two numbers , which we represent by a and b , and these may be any numbers whatever . In the same manner m + n + b + x signifies the sum ...
... represent them by letters , as a , b , c , d , etc. Thus the expression a + b signifies the sum of two numbers , which we represent by a and b , and these may be any numbers whatever . In the same manner m + n + b + x signifies the sum ...
Página 13
Elias Loomis. The first letters of the alphabet are commonly used to represent known quantities , and the last ... represented by letters , their multiplication is indicated by writing them in succession , without the interposition of any ...
Elias Loomis. The first letters of the alphabet are commonly used to represent known quantities , and the last ... represented by letters , their multiplication is indicated by writing them in succession , without the interposition of any ...
Página 14
Elias Loomis. for example , we attempt to represent the product of the numbers 5 and 6 in this manner , 5.6 might be ... represented by a letter , it is called a literal factor , to distinguish it from a numerical factor which is repre ...
Elias Loomis. for example , we attempt to represent the product of the numbers 5 and 6 in this manner , 5.6 might be ... represented by a letter , it is called a literal factor , to distinguish it from a numerical factor which is repre ...
Página 15
... represents five a's added together , we write 5a , where 5 is the coefficient of a . In like manner 10 ab signifies ten times the product of a and b . The coefficient may be either a whole number or a fraction . Thus , a signifies three ...
... represents five a's added together , we write 5a , where 5 is the coefficient of a . In like manner 10 ab signifies ten times the product of a and b . The coefficient may be either a whole number or a fraction . Thus , a signifies three ...
Otras ediciones - Ver todas
Términos y frases comunes
according to Art algebraic arithmetical arithmetical progression binomial cents Charles Anthon coefficients Completing the square contrary sign cube root denotes derived polynomial Divide the number dividend divisible equal roots equation whose roots equation x³ example exponent expression Extract the square factors find the square find the values following RULE fourth power fourth root fraction geometrical geometrical progression given equation greater greatest common divisor Hence infinite series irreducible fraction last term less letters taken method miles monomial mth degree multiplied negative nth root number of permutations number of terms obtain order of differences preceding Prob problem proportion PROPOSITION quadratic equations quotient ratio real roots Reduce remainder represent Required the square Required the sum result second degree second term Sheep extra square root subtract suppose surd theorem unity unknown quantity variation whence whole number
Pasajes populares
Página 344 - Sallust's Jugurthine War and Conspiracy of Catiline. With an English Commentary, and Geographical and Historical Indexes. Portrait. 12mo, Sheep extra, 75 cents. Anthon's Horace. The Works of Horace. With English Notes, Critical and Explanatory. A new Edition, corrected and enlarged...
Página 343 - Latin Grammar, Part I. Containing the most important Parts of the Grammar of the Latin Language, together with appropriate Exercises in the translating and writing of Latin.
Página 345 - OF CHEMISTRY ; Including the most Recent Discoveries and Applications of the Science to Medicine and Pharmacy, and to the Arts. By ROBERT KANE, MDMRIA, Professor of Natural Philosophy to the Royal Dublin Society.
Página 341 - Elements of Rhetoric and Literary Criticism, with copious Practical Exercises and Examples : including, also, a succinct History of the English Language, and of British and American Literature, from the earliest to the present Times.
Página 32 - 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.
Página 343 - Commentaries on the Gallic War, and the First Book of the Greek Paraphrase ; with English Notes, Critical and Explanatory, Plans of Battles, Sieges, &c., and Historical, Geographical, and Archaeological Indexes.
Página 162 - A vintner draws a certain quantity of wine out of a full vessel that holds 256 gallons ; and then filling the vessel with water, draws off the same quantity of liquor as before, and so on for four draughts, when there were only 81 gallons of pure wine left. How much wine did he draw each time ? 50.
Página 189 - ... the product of the two, plus the square of the second. In the third case, we have (a + b) (a — 6) = a2 — b2. (3) That is, the product of the sum and difference of two quantities is equal to the difference of their squares.
Página 345 - Schmucker's Psychology ; Or, Elements of a new System of Mental Philosophy, on the Basis of Consciousness and Common Sense.
Página 43 - 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.