A Course of Mathematics ...: Designed for the Use of the Officers and Cadets of the Royal Military College, Volume 2

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C. Glendinning, 1806 - Mathematics
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Page 236 - The rectangle contained by the diagonals of a quadrilateral inscribed in a circle is equal to the sum of the two rectangles contained by its opposite sides.
Page 53 - If any number of magnitudes are proportional, any antecedent is to its consequent as the sum of all the antecedents is to the sum of all the consequents.
Page 65 - Multiply the divisor, thus augmented, by the last figure of the root, and subtract the product from the dividend, and to the remainder bring down the next period for a new dividend.
Page 64 - Subtract the power from the given quantity, and divide the first term of the remainder by the...
Page 300 - Every body continues in its state of rest, or uniform motion in a right line, unless it is compelled to change that state by forces impressed upon it.
Page 114 - How much gold of 15, of 17, and of 22 carats fine, must be mixed with 5 oz. of 18 carats fine, so that the composition may be 20 carats fine ? Ans.
Page 132 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Page 92 - Three lines are in harmonical proportion, when the first is to the third, as the difference between the first and second, is to the difference between the second and third ; and the second is called a harmonic mean between the first and third. The expression 'harmonical proportion...
Page 21 - Divide the less number by the remainder, the last divisor by the last remainder, and so on, till nothing remains. The last divisor will be the greatest common divisor sought.
Page 37 - Any quantity may be transposed from one side of an equation to the other, if, at the same time, its sign, be changed.

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