A Course of Mathematics: Designed for the Use of the Officers and Cadets, of the Royal Military College, Volumes 1-2author, 1807 - Mathematics |
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Page 102
... cube of 2 . 2 = 16 is the 4th power or biquadrate . x 2 = 32 is the 5th power or sursolid . 2 × 2 × 2 × * 8 X 2 X & c . Roots Squares 1 4 3 4 5 6 7 8 9 9 16 25 36 49 64 81 Cubes 1 8 27 64 125 216 343 512 729 111. The power to which a ...
... cube of 2 . 2 = 16 is the 4th power or biquadrate . x 2 = 32 is the 5th power or sursolid . 2 × 2 × 2 × * 8 X 2 X & c . Roots Squares 1 4 3 4 5 6 7 8 9 9 16 25 36 49 64 81 Cubes 1 8 27 64 125 216 343 512 729 111. The power to which a ...
Page 103
... cube s therefore 4 x 8 = 39 the 5th power . Hence 9 ' x 9 ' = 9 ' ; consequently the addition of the in- dices and 3 answer to the multiplication of the powers ; vix . Also 3 ' x 34 = 3 ' . For 3 is 97 ; and 34 is 81 ; and 27 x 81 is ...
... cube s therefore 4 x 8 = 39 the 5th power . Hence 9 ' x 9 ' = 9 ' ; consequently the addition of the in- dices and 3 answer to the multiplication of the powers ; vix . Also 3 ' x 34 = 3 ' . For 3 is 97 ; and 34 is 81 ; and 27 x 81 is ...
Page 104
... cube root of 9 are both surds . To Extract the SQUARE ROOT . you are lo 113. Rule . Begin at the units place and point the number into periods of two figures each . Find the greatest square in the first period on the left hand and set ...
... cube root of 9 are both surds . To Extract the SQUARE ROOT . you are lo 113. Rule . Begin at the units place and point the number into periods of two figures each . Find the greatest square in the first period on the left hand and set ...
Page 108
... CUBE ROOT . 117. Rule . Point the number into periods of three figures each ( beginning at the units ) and find the greatest cube in the first period on the left hand , and set its root in the quotient for the first figure of the ...
... CUBE ROOT . 117. Rule . Point the number into periods of three figures each ( beginning at the units ) and find the greatest cube in the first period on the left hand , and set its root in the quotient for the first figure of the ...
Page 109
... cube root of 4973940.243 . 4973940-243 ′ ( 170 ° 7 reol . 1 divisor 1X 300300 ) 3973 ( 7 . 4978 two first periods , 1734913 .... divisor 17 x 300 86700 ) 60940 ( 0 divisor 170 x 300 = 8670000 ) 60940243 ( 7 4973940243 four periods ...
... cube root of 4973940.243 . 4973940-243 ′ ( 170 ° 7 reol . 1 divisor 1X 300300 ) 3973 ( 7 . 4978 two first periods , 1734913 .... divisor 17 x 300 86700 ) 60940 ( 0 divisor 170 x 300 = 8670000 ) 60940243 ( 7 4973940243 four periods ...
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A Course Of Mathematics Designed For The Use Of The Officers And Cadets Of ... Isaac Dalby No preview available - 2020 |
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A Course of Mathematics, Vol. 2: Designed for the Use of the Officers and ... Isaac Dalby No preview available - 2016 |
Common terms and phrases
Arith arithmetical axis base battalions bisect body breadth center of gravity chord circle circumference coefficients column common consequently Corol cosine cube root cubic curve cylinder decimal denominator denote diameter difference distance divided dividend division divisor equal equation example feet figure fluid force fraction frustum Geom geometrical geometrical progression given gives greater half Hence horizontal hyperbola inches integer length logarithm measure miles multiplied nearly number of terms ounces parabola parallel parallelogram perpendicular plane prism quantities quotient radius ratio rectangle reduced remainder respectively right angles right line SCHOLIUM sides similar similar triangles sine specific gravity square root subtracted Suppose surface tangent triangle velocity vulgar fraction weight whence whole number yards
Popular passages
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!L±.§!
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...