A concise system of mathematics

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Oliver & Boyd, 1830 - 120 páginas

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Página 28 - In each succeeding term the coefficient is found by multiplying the coefficient of the preceding term by the exponent of a in that term, and dividing by the number of the preceding term.
Página 19 - 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.
Página 56 - The sum of any number of terms in arithmetical progression is equal to the sum of the extremes multiplied by half the number of terms.
Página 333 - A sphere is a solid bounded by a curved surface, every point of which is equally distant from a point within called the center.
Página 334 - If two triangles have the three sides of the one equal to the three sides of the other, each to each, the triangles are congruent.
Página 19 - Powers of the same quantity are divided by subtracting the exponent of the divisor from that of the dividend ; the remainder is the exponent of the quotient.
Página 56 - In any series of numbers in arithmetical progression, the sum of the two extremes is equal to the sum of any two terms equally distant from them; as in the latter of the above series 6 + 1=4+3, and =5+2.
Página 13 - C, indicates that the sum of A and B is to be multiplied by C ; and (A + B) -=- C, indicates that the sum of A and B is to be divided by C.
Página 128 - So IS THE AREA OF THE CIRCLE, TO THE AREA OF THE SECTOR.
Página 139 - ... containing ten pounds avoirdupois weight of distilled water, weighed in air, at the temperature of 62...

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