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 27
... continued product of all the denominators . Ex . 2. Reduce , f , and } to equivalent fractions having a common denominator . 6 x 9 x 3 = 162 5 x 7 x 3 = 105 2X9X7 = 126 } the numerators . 7 × 9 × 3 = 189 the common denominator And the ...
... continued product of all the denominators . Ex . 2. Reduce , f , and } to equivalent fractions having a common denominator . 6 x 9 x 3 = 162 5 x 7 x 3 = 105 2X9X7 = 126 } the numerators . 7 × 9 × 3 = 189 the common denominator And the ...
Page 28
... continued product of the divisors , the last quotients , and the undivided numbers , is the multiple sought . Examp . 1. To find the least common multiple of 7 , 24 , 40 , 45 , and 72 , - 2 ) 7 24 40 45 72 2 ) 7 12 20 45 36 2 ) 7 6 10 ...
... continued product of the divisors , the last quotients , and the undivided numbers , is the multiple sought . Examp . 1. To find the least common multiple of 7 , 24 , 40 , 45 , and 72 , - 2 ) 7 24 40 45 72 2 ) 7 12 20 45 36 2 ) 7 6 10 ...
Page 33
... continued product of 4 , 71 , } , and & of First 4 and 7 . 4x15X2X5 X6 4x15x5 1X2X3X6X7 4X3 X5 X5 4X5 X5 = = = 100 = 14 Ans . 3X7 3X7 4. What is of 29 ! × Y = Y = 19 } the answer . Therefore to find the product of a fraction and a whole ...
... continued product of 4 , 71 , } , and & of First 4 and 7 . 4x15X2X5 X6 4x15x5 1X2X3X6X7 4X3 X5 X5 4X5 X5 = = = 100 = 14 Ans . 3X7 3X7 4. What is of 29 ! × Y = Y = 19 } the answer . Therefore to find the product of a fraction and a whole ...
Page 42
... continued as far as is ne- cessary . Examples . Divide 01728 by 14'4 ? 144 ) 01728 ( 0012 quotient . Proof 14.4 ⚫0012 . 144 288 288 Product 01728 Hence it appears that the number of decimals in the diviso : and quotient must be equal ...
... continued as far as is ne- cessary . Examples . Divide 01728 by 14'4 ? 144 ) 01728 ( 0012 quotient . Proof 14.4 ⚫0012 . 144 288 288 Product 01728 Hence it appears that the number of decimals in the diviso : and quotient must be equal ...
Page 106
... continued to any nuinber of decimals in the root . And the integral part of the root will consist of as many figures as there are points over the integers in the number whose root is required . 115. The root of a proper fraction is ...
... continued to any nuinber of decimals in the root . And the integral part of the root will consist of as many figures as there are points over the integers in the number whose root is required . 115. The root of a proper fraction is ...
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A Course Of Mathematics Designed For The Use Of The Officers And Cadets Of ... Isaac Dalby No preview available - 2020 |
A Course of Mathematics ...: Designed for the Use of the Officers and Cadets ... Isaac Dalby No preview available - 2016 |
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...