Elements of arithmetic, tr. by J. Spear

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Σελίδα 182 - ... the square of the second. Illustrate by a numerical example. SUQ. Denote the two numbers by a and 5. 37. Prove that the square of the sum of any two numbers equals the square of the first number, plus twice the product of the two numbers, plus the square of the second number.
Σελίδα 95 - Operations with Fractions A) To change a mixed number to an improper fraction, simply multiply the whole number by the denominator of the fraction and add the numerator.
Σελίδα 212 - In any proportion, the product of the extremes equals the product of the means.
Σελίδα 245 - The logarithm of the root of a number is equal to the logarithm of the number divided by the index of the root.
Σελίδα 243 - The logarithm of the product of any number of factors is equal to the sum of the logarithms of the factors.
Σελίδα 245 - The logarithm of a power of a number is found by multiplying the logarithm of the number by the exponent of the power. For, A« = (10°)
Σελίδα 183 - ... by the square of the units + the cube of the units. Each of these three parts contains the units' number as a factor. Hence the 15,875 consists of two factors, one of which is the units...
Σελίδα 244 - The logarithm of a quotient equals the logarithm of the dividend minus the logarithm of the divisor.
Σελίδα 190 - ... the cube of the tens, three times the square of the tens multiplied by the units, three times the tens multiplied by the square of the units, and the cube of the units.
Σελίδα 156 - Condamine, the length of the quarter of the meridian, or the distance from the pole to the equator, was calculated. This length was partitioned into ten millions of equal parts, and one of these parts was taken for the unit of length, and called a metre J, from the Greek word fitrpov (a measure).

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