A Course of Mathematics: Designed for the Use of the Officers and Cadets, of the Royal Military College, Volumer 1-2author, 1807 |
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Side 202
... base is the sum of the parallel sides of the trapezoid , and whose height is the distance of those parallel sides . Corol . 9. Hence all right lines that bisect the diagonal of a parallelogram , and are terminated by the sides , are ...
... base is the sum of the parallel sides of the trapezoid , and whose height is the distance of those parallel sides . Corol . 9. Hence all right lines that bisect the diagonal of a parallelogram , and are terminated by the sides , are ...
Side 203
... base and altitude . Corol . 2. And triangles having equal bases , and altitudes are equal . For if one triangle be applied with its base upon the base of the other , the two triangles will stand on the same base , and have equal ...
... base and altitude . Corol . 2. And triangles having equal bases , and altitudes are equal . For if one triangle be applied with its base upon the base of the other , the two triangles will stand on the same base , and have equal ...
Side 208
... bases AD , GR are incommensurable , the like proportion must evidently hold good . Suppose the base GR is the side of It H A to T IC Ul a square , and the base AD its dia gonal 83 , corol . ) . Let AN GR , and draw NO parallel to DC ...
... bases AD , GR are incommensurable , the like proportion must evidently hold good . Suppose the base GR is the side of It H A to T IC Ul a square , and the base AD its dia gonal 83 , corol . ) . Let AN GR , and draw NO parallel to DC ...
Side 209
... bases and altitudes , are as the rectangles of the bases and altitudes . Make BG , CH , and PS , TAGD ON , perpendicular to CB , OP , respectively ; then the rectangle HB is equal to the parallelogram AB , and the rectangle NP equal to ...
... bases and altitudes , are as the rectangles of the bases and altitudes . Make BG , CH , and PS , TAGD ON , perpendicular to CB , OP , respectively ; then the rectangle HB is equal to the parallelogram AB , and the rectangle NP equal to ...
Side 213
... base DP , and between the parallels DP , AC are equal ( 624 ) : To each of these add the triangle DBP , then the triangles BDC , BPA will be equal ( 32 ) : But the triangles BDP , BDC standing on the bases BP , BC and having the same ...
... base DP , and between the parallels DP , AC are equal ( 624 ) : To each of these add the triangle DBP , then the triangles BDC , BPA will be equal ( 32 ) : But the triangles BDP , BDC standing on the bases BP , BC and having the same ...
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Vanlige uttrykk og setninger
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
Populære avsnitt
Side 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...
Side 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.
Side 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.
Side 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.
Side 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.
Side 172 - The radius of a circle is a right line drawn from the centre to the circumference.
Side 318 - To find the area of a triangle. RULE.* Multiply the base by the perpendicular height, and half the product will be the area.
Side 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±.§!
Side 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.
Side 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...