Mathematical Problems and Examples, Arranged According to Subjects, from the Senate-House Examination Papers, 1821 to 1836 InclusiveW.P. Grant, 1836 - 335 σελίδες |
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Σελίδα 211
... refraction is reducible to the same form as Bradley's . 83. Given the position of the moon's nodes , and the incli- nation of her orbit to the ecliptic , to find when her latitude and declination are equal . 84. In a chart on Mercator's ...
... refraction is reducible to the same form as Bradley's . 83. Given the position of the moon's nodes , and the incli- nation of her orbit to the ecliptic , to find when her latitude and declination are equal . 84. In a chart on Mercator's ...
Σελίδα 212
1828 86. On the supposition of a homogeneous atmosphere , the refraction may be expressed by the formula . r = --- m 1 sin 1 " d tan Z ( z ( m − 1 ) ( 1 + d ) r ) , 8 being the ratio of the height of the homogeneous atmosphere to the ...
1828 86. On the supposition of a homogeneous atmosphere , the refraction may be expressed by the formula . r = --- m 1 sin 1 " d tan Z ( z ( m − 1 ) ( 1 + d ) r ) , 8 being the ratio of the height of the homogeneous atmosphere to the ...
Σελίδα 215
... distances . 128. Find the moon's parallax by observations made out of the plane of the meridian , and shew how the effect of refraction may be avoided . 129. Find the length of the longest day in latitude PLANE ASTRONOMY . 215.
... distances . 128. Find the moon's parallax by observations made out of the plane of the meridian , and shew how the effect of refraction may be avoided . 129. Find the length of the longest day in latitude PLANE ASTRONOMY . 215.
Σελίδα 217
... refraction . 142. Find the longitude of the perihelion and the time of the earth's passing through it . 143. Find the sun's right ascension by Flamstead's method . Why must the observations be made near an equinox ? 144. Explain ...
... refraction . 142. Find the longitude of the perihelion and the time of the earth's passing through it . 143. Find the sun's right ascension by Flamstead's method . Why must the observations be made near an equinox ? 144. Explain ...
Σελίδα 218
... refraction , parallax , aberration , precession , and nutation . 154. The longitude of a Arietis is 35 ° 4 ′ 41 ′′ , its north polar distance is 67 ° 25 ′ 1 " .7 , and the obliquity of the ecliptic is 23 ° 27 ′ 46 ′′ .3 ; find its angle ...
... refraction , parallax , aberration , precession , and nutation . 154. The longitude of a Arietis is 35 ° 4 ′ 41 ′′ , its north polar distance is 67 ° 25 ′ 1 " .7 , and the obliquity of the ecliptic is 23 ° 27 ′ 46 ′′ .3 ; find its angle ...
Συχνά εμφανιζόμενοι όροι και φράσεις
acted altitude angular apply attraction axes axis body centre of force centre of gravity chord circle coefficients cone conic section coordinates curvature cycloid cylinder density described determine diameter direction distance drawn earth eccentricity ecliptic ellipse equal equilibrium Explain Find the equation fixed fluid focus force varying geometrical given angle given point given velocity horizontal plane hyperbola inclined Integrate intersection Investigate latitude latus rectum length lens locus logarithmic longitude meridian moon moon's motion Newton nodes orbit oscillation parabola parallel particle passing perpendicular plane triangle position pressure projected Prop prove quantity ratio rays refraction revolving right angles right ascension roots shew sides sin² sine solid of revolution specific gravity sphere spherical reflector spherical triangle spheroid square straight line string surface tangent Trace the curve true anomaly varies inversely vertex vertical weight
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Σελίδα 3 - ... cuts the base, the rectangle contained by the sides of the triangle is equal to the rectangle contained by the segments of the base, together with the square on the straight line which bisects the angle.
Σελίδα 280 - A cone is a solid figure described by the revolution of a right-angled triangle about one of the sides containing the right angle, which side remains fixed.
Σελίδα 126 - If two straight lines meeting one another, be parallel to two straight lines which also meet one another, but are not in the same plane with the first two : the plane which passes through the first two is parallel to the plane passing through the others.
Σελίδα 2 - IN right angled triangles, the rectilineal figure described upon the side opposite to the right angle, is equal to the similar and similarly described figures upon the sides containing the right angle...
Σελίδα 2 - The angles which one straight line makes with another upon one side of it, are either two right angles, or are together equal to two right angles.
Σελίδα 255 - If a body be projected from a given point in a given direction with a given velocity...
Σελίδα 4 - If a solid angle be contained by three plane angles, any two of them are greater than the third.
Σελίδα 157 - To find the magnitude, direction, and point of application of the resultant of any number of parallel forces acting on a rigid body in one plane.
Σελίδα 7 - A and B can do a piece of work in m days, B and C in n days, and C and A in p days. In what time can each alone jjerform the work ? 39.
Σελίδα 314 - ... varies inversely as the square of the distance of the particle from the centre.