A Course of Mathematics: Designed for the Use of the Officers and Cadets, of the Royal Military College, Volumes 1-2

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author, 1807 - Mathematics

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Page 82 - Multiply the whole augmented divisor by this last quotient figure, and subtract the product from the said dividend, bringing down to the next period of the given number, for a new dividend. Repeat the same process over again — viz. find another new divisor, by doubling all the figures now...
Page 173 - A sector, is any part of a circle bounded by an arc, and two radii, drawn to its extremities. A quadrant, or quarter of a circle, is a sector having a quarter part of the circumference for its arc, and the two radii perpendicular to each other.
Page 5 - 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 299 - Tht-rvfore, shot which are of different weights, and impelled by the firing of different charges of powder, acquire velocities which are directly as the square roots of the charges of powder, and inversely as the square roots of the weights of the shot.
Page 184 - Find two numbers whose product is equal to the difference of their squares, and the sum of their squares equal to the difference of their cubes.
Page 172 - The radius of a circle is a right line drawn from the centre to the circumference.
Page 318 - To find the area of a triangle. RULE.* Multiply the base by the perpendicular height, and half the product will be the area.
Page 87 - ... progression, is equal to the sum of the first and last terms multiplied by half the number of terms; therefore, the sum of the moments about R, is 5,000 X 5!Lą.§!
Page 82 - Divide the given number into periods of two figures each, by setting a point over the place of units, another over the place of hundreds, and so on over every second figure, both to the left hand in integers, and to the right hand in decimals.
Page 164 - An Axiom is a self-evident truth, not only too simple to require, but too simple to admit of demonstration. A Proposition is something which is either proposed to be done, or to be demonstrated, and is either a problem or a theorem. A Problem is something proposed to be done. A Theorem is something proposed to be demon'strated. A...

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