A Treatise on AlgebraHarper & brothers, 1846 - 346 sider |
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Side vi
... solved by Subtraction and Addition . Equations solved by Division and Multiplication Equations cleared of Fractions . Solution of Problems . SECTION VIII . EQUATIONS OF TWO OR MORE UNKNOWN QUANTITIES . Elimination by Substitution · By ...
... solved by Subtraction and Addition . Equations solved by Division and Multiplication Equations cleared of Fractions . Solution of Problems . SECTION VIII . EQUATIONS OF TWO OR MORE UNKNOWN QUANTITIES . Elimination by Substitution · By ...
Side viii
... solved Compound Interest . - Increase of Population 265 267 • 268 · 270 271 272 273 278 • 279 . 280 283 285 • 286 286 287 289 • 290 • 291 292 295 301 · 304 314 • 318 321 • 323 • 326 328 333 335 • 338 • 342 344 ALGEBRA . SECTION I ...
... solved Compound Interest . - Increase of Population 265 267 • 268 · 270 271 272 273 278 • 279 . 280 283 285 • 286 286 287 289 • 290 • 291 292 295 301 · 304 314 • 318 321 • 323 • 326 328 333 335 • 338 • 342 344 ALGEBRA . SECTION I ...
Side 10
... solved by Arithmetic , and we obtain an answer , which is applicable only to this problem . But in the solution of an Algebraic problem , we employ letters to which any value may be attributed at pleasure . The results obtained ...
... solved by Arithmetic , and we obtain an answer , which is applicable only to this problem . But in the solution of an Algebraic problem , we employ letters to which any value may be attributed at pleasure . The results obtained ...
Side 11
... solved Arithmetically , these solutions are generally much more tedious than the Algebraic . This advantage which is possessed by Algebra is partly due to the representation of the unknown quantities by letters , and their introduction ...
... solved Arithmetically , these solutions are generally much more tedious than the Algebraic . This advantage which is possessed by Algebra is partly due to the representation of the unknown quantities by letters , and their introduction ...
Side 72
... second . The difficulty of solving equations , depends upon their degree , and the number of unknown quantities . We will begin with the most simple case . ( 98. ) SIMPLE EQUATIONS CONTAINING BUT ONE UNKNOWN QUANTITY 72 SIMPLE EQUATIONS .
... second . The difficulty of solving equations , depends upon their degree , and the number of unknown quantities . We will begin with the most simple case . ( 98. ) SIMPLE EQUATIONS CONTAINING BUT ONE UNKNOWN QUANTITY 72 SIMPLE EQUATIONS .
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Vanlige uttrykk og setninger
according to Art algebraic arithmetical binomial Charles Anthon coefficient common denominator Completing the square contrary sign cube root cubic equation deduce denotes Divide the number dividend divisible equation containing equation whose roots equation x³ exponent expression Extracting the root extracting the square factors find the values following RULE fourth power fourth root given equation greatest common divisor Hence inequality infinite series last term less logarithm method miles monomial multiplied negative nth root number of terms obtain order of differences original equation polynomial positive Prob problem PROPOSITION quadratic equations quotient radical quantities ratio real roots remainder Required the cube Required the fourth Required the square Required the sum result second degree second term Sheep extra simple form solved square root Sturm's Theorem subtract surd Theorem unknown quantity variation Whence whole number
Populære avsnitt
Side 38 - 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.
Side 37 - THEOREM I. The square of the sum of two quantities is equal to the square of the first, plus twice the product of the first by the second, plus the square of the second.
Side 91 - To divide the number 90 into four such parts, that if the first be increased by 2, the second diminished by 2, the third multiplied...
Side 332 - ... the logarithm of a fraction is equal to the logarithm of the numerator minus the logarithm of the denominator.
Side 33 - In the multiplication of whole numbers, place the multiplier under the multiplicand, and multiply each term of the multiplicand by each term of the multiplier, writing the right-hand figure of each product obtained under the term of the multiplier which produces it.
Side 138 - The nth root of the product of any number of factors is equal to the product of the nth roots of those factors.
Side 168 - 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.
Side 31 - The operation consists in repeating the multiplicand as many times as there are units in the multiplier.
Side 4 - A Grammar of the Greek Language, for the Use of Schools and Colleges. By Charles Anthon, LL.D.
Side 213 - When four magnitudes are continual proportionals, the first is said to have to the fourth the triplicate ratio of that which it has to the second, and so on, quadruplicate, &c., increasing the denomination still by unity, in any number of proportionals.