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 311
... whence CB the height of the station B above A will be found the reduced base = 207 · 1 yards . Then AC , and the argles of the triangle ACP , PCA = 64 ° 10 ° PAC 76 17 P A 34 ° 7 yards : and AC APC = 39 33 will give AP the hori- zontal ...
... whence CB the height of the station B above A will be found the reduced base = 207 · 1 yards . Then AC , and the argles of the triangle ACP , PCA = 64 ° 10 ° PAC 76 17 P A 34 ° 7 yards : and AC APC = 39 33 will give AP the hori- zontal ...
Page 313
... whence , by Case I. AC = 333 , and BC = 282 yards . 8. If BG the height of the rampart ABRC be 16 feet , and the exterior talus BR of the parapet is inclined to the horizon in an angle of 4o ; what is the difference in the distance ( BO ) ...
... whence , by Case I. AC = 333 , and BC = 282 yards . 8. If BG the height of the rampart ABRC be 16 feet , and the exterior talus BR of the parapet is inclined to the horizon in an angle of 4o ; what is the difference in the distance ( BO ) ...
Page 315
... whence ( 223 ) WR will be found 915 , and OP = 43 · 9 yards . 10. When a distant object near the horizontal plane sub- tends a small angle , the following method of determining its distance would be simple , could we measure such angles ...
... whence ( 223 ) WR will be found 915 , and OP = 43 · 9 yards . 10. When a distant object near the horizontal plane sub- tends a small angle , the following method of determining its distance would be simple , could we measure such angles ...
Page 317
... whence OI = 19 feet , nearly . rad . : 72 :: cosin . 35 ° : 39 feet = el , whence IP = 13 feet , nearly . rad .: 120 ( = eQ ) :: sin . 35 ° : 68.8 feet eR , whence VR = 46 feet , nearly . rad .: 120 :: cosin . 35o : 98 feet , nearly , ...
... whence OI = 19 feet , nearly . rad . : 72 :: cosin . 35 ° : 39 feet = el , whence IP = 13 feet , nearly . rad .: 120 ( = eQ ) :: sin . 35 ° : 68.8 feet eR , whence VR = 46 feet , nearly . rad .: 120 :: cosin . 35o : 98 feet , nearly , ...
Page 319
... whence BO≈ 291 yards : to this add NB the height of the observer's eye above the horizontal plane HNP , and the sum will be the whole height NO . But the distances AB , CB , and height RO may be calculated without any reduction of ...
... whence BO≈ 291 yards : to this add NB the height of the observer's eye above the horizontal plane HNP , and the sum will be the whole height NO . But the distances AB , CB , and height RO may be calculated without any reduction of ...
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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...