# Mathematics for the Coast Artillery Officer

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### Δημοφιλή αποσπάσματα

Σελίδα 30 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Σελίδα 37 - The square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides.
Σελίδα 23 - Hence the Law of Tangents : The difference of two sides of a triangle is to their sum as the tangent of half the difference of the opposite angles is to the tangent of half their sum. NOTE.
Σελίδα 6 - 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.
Σελίδα 6 - Hence, the exponent of a letter in the product, is equal to the sum of its exponents in the two factors. This is termed, the rule of the exponents. 3. What is the product of a2 by a2?
Σελίδα 30 - The logarithm of a product is the sum of the logarithms of the factors. 10™ 2. —— =10™~r. The logarithm of a quotient is the logarithm of the dividend minus the logarithm of the divisor. 3. (10"')r = 10"'.
Σελίδα 45 - If this number is diminished by 8 and the remainder multiplied by 8, the result is the same as if the number were diminished by 6 and the remainder multiplied by 6. What is the number ? 60.
Σελίδα 24 - The square of any side of a triangle is equal to the sum of the squares of the other two sides, diminished by twice the product of the sides and the cosine of the included angle.
Σελίδα 20 - The sides of a triangle are proportional to the sines of the opposite angles.
Σελίδα 6 - Write the result as the first term of the quotient. Multiply all the terms of the divisor by the first term of the quotient.