The elements of algebra1857 |
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Σελίδα 29
... are called positive quantities . 61 . ( which is read Minus ) signifies that the quantity to which it is prefixed must be subtracted . Thus ab signifies - that must be taken from a ; if a Definitions and Signs used in Algebra.
... are called positive quantities . 61 . ( which is read Minus ) signifies that the quantity to which it is prefixed must be subtracted . Thus ab signifies - that must be taken from a ; if a Definitions and Signs used in Algebra.
Σελίδα 36
... positive and some with negative signs , take the difference between the sum of the positive and the sum of the negative coeffi- cients , prefix the sign of the greater sum , and annex the common letters . Ex . 9 . 3a2 + 4bc- e2 + 10 ...
... positive and some with negative signs , take the difference between the sum of the positive and the sum of the negative coeffi- cients , prefix the sign of the greater sum , and annex the common letters . Ex . 9 . 3a2 + 4bc- e2 + 10 ...
Σελίδα 40
... positive ; if they have different signs , the product is negative . 1st + ax + b = + ab ; because in this case a is to be taken positively b times ; therefore the product ab must be positive . 2d . -ax + b = -ab ; because a is to be ...
... positive ; if they have different signs , the product is negative . 1st + ax + b = + ab ; because in this case a is to be taken positively b times ; therefore the product ab must be positive . 2d . -ax + b = -ab ; because a is to be ...
Σελίδα 41
... positive integers . By Def . Art . 63. a " = axaxaxax & c . continued to m factors ; also a " = a × a × a × a × & c ... positively and d times negatively ; that is , ( a + b ) c − ( a + b ) d , or ac + bc − ( ad + bd ) , or ac + bc ...
... positive integers . By Def . Art . 63. a " = axaxaxax & c . continued to m factors ; also a " = a × a × a × a × & c ... positively and d times negatively ; that is , ( a + b ) c − ( a + b ) d , or ac + bc − ( ad + bd ) , or ac + bc ...
Σελίδα 48
... positive value of m , when the quotient has reached tom terms , the last term being y - 1 . Hence we have , ( x3 — y3 ) ÷ ( x − y ) = x2 + xy + y2 , ( x ' — y1 ) ÷ ( x − y ) = x3 + x3y + xy2 + y3 , ( x3 - y® ) ÷ ( x − y ) = x * + x3y ...
... positive value of m , when the quotient has reached tom terms , the last term being y - 1 . Hence we have , ( x3 — y3 ) ÷ ( x − y ) = x2 + xy + y2 , ( x ' — y1 ) ÷ ( x − y ) = x3 + x3y + xy2 + y3 , ( x3 - y® ) ÷ ( x − y ) = x * + x3y ...
Συχνά εμφανιζόμενοι όροι και φράσεις
algebraical quantities annuity Arithmetical Progression Binomial Theorem coefficient common denominator Comp contain continued fraction convergent cube root denary difference digits divided divisible divisor Edition equal equation EXERCISES expressed Extract the square factors Find the G.C.M. find the number Find the square find the sum Find the value given greater Greatest Common Measure Hence hour latter Least Common Multiple less lowest terms miles Mult multiplied N₁ negative nth root number of combinations number of terms numerator and denominator positive integers Post 8vo Present Value prime number proportion proposed quantities prove quadratic quadratic equation quotient radix ratio reduced remainder represented rule scale shew shillings square root ST JOHN'S COLLEGE subtracted suppose surd unknown quantities vols vulgar fraction whole number Woodcuts
Δημοφιλή αποσπάσματα
Σελίδα 574 - Ephemera. — The Book of the Salmon: Comprising the Theory, Principles, and Practice of Fly-fishing for Salmon: Lists of good Salmon Flies for every good River in the Empire ; the Natural History of the Salmon, all its known Habits described, and the best way of artificially Breeding it explained. With numerous coloured Engravings. By EPHEMERA j assisted by ANDREW YOUNG.
Σελίδα 577 - Kirby and Spence's Introduction to Entomology ; or, Elements of the Natural History of Insects : Comprising an Account of Noxious and Useful Insects, of their Metamorphoses, Food, Stratagems, Habitations, Societies, Motions, Noises, Hybernation, Instinct, &c.