Elementary Algebra

Εξώφυλλο
Macmillan, 1905 - 449 σελίδες
 

Άλλες εκδόσεις - Προβολή όλων

Συχνά εμφανιζόμενοι όροι και φράσεις

Δημοφιλή αποσπάσματα

Σελίδα 162 - If the product of two numbers is equal to the product of two other numbers, either pair may be made the means, and the other pair the extremes, of a proportion.
Σελίδα 131 - If the degree of the numerator is equal to, or greater than, that of the denominator, the preceding methods are inapplicable.
Σελίδα 156 - Thus when it is said that the sum of the three angles of any triangle is equal to two right angles, this is a theorem, the truth of which is demonstrated by Geometry.
Σελίδα 100 - A trinomial belongs to this type, ie it is a perfect square, when two of its terms are perfect squares, and the remaining term is equal to twice the product of the square roots of these terms.
Σελίδα 43 - The product of the sum and difference of two numbers is equal to the difference of their squares.
Σελίδα 212 - A trinomial is a perfect square if one of its terms is equal to twice the product of the square roots of the two other terms.
Σελίδα 43 - ... the square of the second. _ Again, (a — by = (a — 5) (a — 5) = a2 — 2a6 + 52. (2) That is, 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.
Σελίδα 162 - In any proportion the product of the means is equal to the product of the extremes.
Σελίδα 51 - To divide a polynomial by a monomial, divide each term of the dividend by the divisor and add the partial quotients.
Σελίδα 162 - The mean proportional between two numbers is equal to the square root of their product.

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