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 182
... rectangle is a parallelogram having all its angles right ones , as G. 23. A square is a parallelogram having all its sides equal , and all its angles right ones , as H. 24. A rhomboid is an oblique angled parallelo- gram , as I. 95. A ...
... rectangle is a parallelogram having all its angles right ones , as G. 23. A square is a parallelogram having all its sides equal , and all its angles right ones , as H. 24. A rhomboid is an oblique angled parallelo- gram , as I. 95. A ...
Page 205
... rectangles made by the whole line and each part respectively , and these rectangles together evidently consti- tute the square , because the whole is equal to all its parts taken together . Or if we denote the rectangles after the ...
... rectangles made by the whole line and each part respectively , and these rectangles together evidently consti- tute the square , because the whole is equal to all its parts taken together . Or if we denote the rectangles after the ...
Page 209
... rectangle HB is equal to the parallelogram AB , and the rectangle NP equal to the parallelogram RP 82 ) . N Then , because equals must have equal ratios , As rectangle to rectangle , so is parallelogram to parallelogram . Scholium . The ...
... rectangle HB is equal to the parallelogram AB , and the rectangle NP equal to the parallelogram RP 82 ) . N Then , because equals must have equal ratios , As rectangle to rectangle , so is parallelogram to parallelogram . Scholium . The ...
Page 210
... rectangles DO , BQ contained under the same or equal lines ( DC , BR ) must be equal ; therefore the consequents being ... rectangle PC becomes a square ; and its side is a mean proportional between the other two lines AB and BR ( 151 ...
... rectangles DO , BQ contained under the same or equal lines ( DC , BR ) must be equal ; therefore the consequents being ... rectangle PC becomes a square ; and its side is a mean proportional between the other two lines AB and BR ( 151 ...
Page 217
... rectangle of either side and the alternate segment of the base , is equal to the rectangle of the other side and the remaining segment : AB x GC AG × BC . 97. In a circle , if two chords AB , CD intersect each . ether , and their ...
... rectangle of either side and the alternate segment of the base , is equal to the rectangle of the other side and the remaining segment : AB x GC AG × BC . 97. In a circle , if two chords AB , CD intersect each . ether , and their ...
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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...