Elements of arithmetic, tr. by J. Spear |
Common terms and phrases
added augmentation calculate capital centimes centimetre ciphers exact column comma cubic decametre square decimal ciphers decimal fraction decimal number decimetres cube denominator divide divisor is contained equivalent error absolute error committed error relative example extract the root fifth decimal order find the number fraction proposed fractional number francs given number gives grammes greater than unity greatest common divisor hectolitres hectometre Hence hundreds hundredths integral number integral portion interval irreducible fraction kilogramme last cipher least common multiple litres magnitude manner measure metric system millimetre minutes multiple of 9 multiplicand nine first numbers number corresponding number equals number greater number proposed obtain operation ordinary fraction partial dividend preceding prime factors prime numbers PROBLEM quotient ratio réglette remainder repeat rule the number sought square metres square root subtract tabular difference tens tenths third thousands thousandths twice units weight whole number write zeros
Popular passages
Page 170 - ... 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.
Page 85 - 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.
Page 188 - In any proportion, the product of the extremes equals the product of the means.
Page 221 - The logarithm of the root of a number is equal to the logarithm of the number divided by the index of the root.
Page 219 - The logarithm of the product of any number of factors is equal to the sum of the logarithms of the factors.
Page 221 - 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°)
Page 171 - ... 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...
Page 220 - The logarithm of a quotient equals the logarithm of the dividend minus the logarithm of the divisor.
Page 176 - ... 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.
Page 144 - 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).