Algebra for the Use of Colleges and Schools: With Numerous ExamplesMacmillan, 1866 - 553 σελίδες |
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Σελίδα ix
... Fractions • · IX . Equations of the First Degree X. Problems which lead to Simple Equations with one Un- known Quantity XI . Simultaneous Equations of the First Degree with two Un- known Quantities • XII . Simultaneous Equations of the ...
... Fractions • · IX . Equations of the First Degree X. Problems which lead to Simple Equations with one Un- known Quantity XI . Simultaneous Equations of the First Degree with two Un- known Quantities • XII . Simultaneous Equations of the ...
Σελίδα x
... Fractions 226 • 236 241 254 ..266 274 278 283 294 303 318 324 328 336 344 349 354 • 361 369 • 377 · XLV . Reduction of a Quadratic Surd to a continued Fraction XLVI . Indeterminate Equations of the First Degree XLVII . Indeterminate ...
... Fractions 226 • 236 241 254 ..266 274 278 283 294 303 318 324 328 336 344 349 354 • 361 369 • 377 · XLV . Reduction of a Quadratic Surd to a continued Fraction XLVI . Indeterminate Equations of the First Degree XLVII . Indeterminate ...
Σελίδα xii
... fractions , it is advisable to write the latter higher up ; thus 4.5 may be kept to denote 4 + 5 10 ° 6. The sign signifies that the number which precedes it is to be divided by the number which follows it . Thus a ÷ b sig- nifies that ...
... fractions , it is advisable to write the latter higher up ; thus 4.5 may be kept to denote 4 + 5 10 ° 6. The sign signifies that the number which precedes it is to be divided by the number which follows it . Thus a ÷ b sig- nifies that ...
Σελίδα 27
... fractions we shall return in a subsequent Chapter . 68. The following examples are important : x − α ) x3 — a3 ( x2 + xa + a3 - x3- x2α x2α- a3 x - a ) x - a ( x3 + x2a + xa2 + a3 - x3α- a1 --- xa3 - a3 xa2 -α x2α2 - a1 4 2 x2α- xa3 3 ...
... fractions we shall return in a subsequent Chapter . 68. The following examples are important : x − α ) x3 — a3 ( x2 + xa + a3 - x3- x2α x2α- a3 x - a ) x - a ( x3 + x2a + xa2 + a3 - x3α- a1 --- xa3 - a3 xa2 -α x2α2 - a1 4 2 x2α- xa3 3 ...
Σελίδα 48
... fractions . But we see that in these quotients the letter of reference x does not appear in the denominator of any fraction although the coefficients of the powers of x are fractions . Such XC 1 and + + 6 2 3 ' expressions as x + 223 63 ...
... fractions . But we see that in these quotients the letter of reference x does not appear in the denominator of any fraction although the coefficients of the powers of x are fractions . Such XC 1 and + + 6 2 3 ' expressions as x + 223 63 ...
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Άλλες εκδόσεις - Προβολή όλων
Algebra for the Use of Colleges and Schools: With Numerous Examples Isaac Todhunter Πλήρης προβολή - 1866 |
Συχνά εμφανιζόμενοι όροι και φράσεις
a+b+c arithmetical arithmetical mean ax² Binomial Theorem black balls chance coefficient common measure contains continued fraction convergent cube root digits divided divisible divisor equal event example expansion Extract the square factors find the number given equations greater than unity harmonical mean Hence least common multiple less than unity letters logarithm meaning Multiply negative quantity number of combinations number of terms numerator and denominator obtain occur P₁ positive integers positive quantity preceding article prime number probability problem prove quadratic equation quotient radix ratio remainder respectively result scale shew shewn shillings Similarly solution square root student subtraction suppose supposition surd third unknown quantities white balls whole number zero
Δημοφιλή αποσπάσματα
Σελίδα 551 - Prelector of St. John's College, Cambridge. AN ELEMENTARY TREATISE ON MECHANICS. For the Use of the Junior Classes at the University and the Higher Classes in Schools.
Σελίδα 57 - If the numerator and denominator of a fraction be multiplied by the same number, the value of the fraction is not altered.
Σελίδα 552 - HODGSON -MYTHOLOGY FOR LATIN VERSIFICATION. A brief Sketch of the Fables of the Ancients, prepared to be rendered into Latin Verse for Schools.
Σελίδα 552 - THE BIBLE IN THE CHURCH. A Popular Account of the Collection and Reception of the Holy Scriptures in the Christian Churches. New Edition.
Σελίδα 132 - Divide this quantity, omitting the last figure, by twice the part of the root already found, and annex the result to the root and also to the divisor, then multiply the divisor as it now stands by the part of the root last obtained for the subtrahend.
Σελίδα 551 - DREW.— A Geometrical Treatise on Conic Sections, with Copious Examples from the Cambridge Senate House Papers. By WH DREW, MA of St. John's College, Cambridge, Second Master of Blackheath Proprietary School. Crown 8vo. cloth, 4«.
Σελίδα 281 - The general formula for the number of combinations of n things taken r at a time is C(n,r) = r\(nr)\ We have to find the number of combinations of 12 things taken 9 at a time.
Σελίδα 17 - The product of the sum and difference of two numbers is equal to the difference of their squares.
Σελίδα 83 - A ship sails with a supply of biscuit for 60 days, at a daily allowance of a pound a head ; after being at sea 20 days she encounters a storm in which 5 men are washed overboard, and damage sustained that will cause a delay of 24 days, and it is found that each man's allowance must be reduced to five-sevenths of a pound.
Σελίδα 393 - The same method may be applied to find the sum of the cubes of the first n natural numbers, or the sum of their fourth powers, and so on.