Mathematical Problems and Examples, Arranged According to Subjects, from the Senate-House Examination Papers, 1821 to 1836 InclusiveW.P. Grant, 1836 - 335 sider |
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Side 3
... shew that they coincide . 27. If two straight lines be at right angles to the same plane , shew that they are parallel to one another . What is Euclid's definition of parallel straight lines , and what other definition has been proposed ...
... shew that they coincide . 27. If two straight lines be at right angles to the same plane , shew that they are parallel to one another . What is Euclid's definition of parallel straight lines , and what other definition has been proposed ...
Side 15
... shew how these two logarithms determine the modulus of Briggs ' system . 116. If to the square of any number not divisible by 3 the number 2 be added , the result is divisible by 3 . 117. Reduce 1 + b = 1 to the form of a + ẞ√1 . 118 ...
... shew how these two logarithms determine the modulus of Briggs ' system . 116. If to the square of any number not divisible by 3 the number 2 be added , the result is divisible by 3 . 117. Reduce 1 + b = 1 to the form of a + ẞ√1 . 118 ...
Side 17
... shew that the number of digits in the cube root is equal to the number of such points ; and extract the cube root of 318.61199 to two places of decimals . 142. Investigate a rule for finding the greatest common measure of any two ...
... shew that the number of digits in the cube root is equal to the number of such points ; and extract the cube root of 318.61199 to two places of decimals . 142. Investigate a rule for finding the greatest common measure of any two ...
Side 18
... shew that An be a series of fractions approximat- B 150. If AI A ing to B , A A. 1 < and > B B2 B2 1 B2 ( B2 + B2 + 1 ) " 151. Shew how to find the number corresponding to a given logarithm not found exactly in the tables . 152. If a ...
... shew that An be a series of fractions approximat- B 150. If AI A ing to B , A A. 1 < and > B B2 B2 1 B2 ( B2 + B2 + 1 ) " 151. Shew how to find the number corresponding to a given logarithm not found exactly in the tables . 152. If a ...
Side 24
... shew that the ultimate ratio of a + b + c : p + q + r is also m : n . 210. Find the discount on £ 275 6s . 8d . due 18 months hence , at 4 per cent . 211. Reduce to the simplest form 1 - 1 -- +3 X 1 2x + 2 2x2 + 2 ° - 212. If a be prime ...
... shew that the ultimate ratio of a + b + c : p + q + r is also m : n . 210. Find the discount on £ 275 6s . 8d . due 18 months hence , at 4 per cent . 211. Reduce to the simplest form 1 - 1 -- +3 X 1 2x + 2 2x2 + 2 ° - 212. If a be prime ...
Vanlige uttrykk og setninger
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
Populære avsnitt
Side 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.
Side 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.
Side 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.
Side 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...
Side 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.
Side 255 - If a body be projected from a given point in a given direction with a given velocity...
Side 4 - If a solid angle be contained by three plane angles, any two of them are greater than the third.
Side 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.
Side 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.
Side 314 - ... varies inversely as the square of the distance of the particle from the centre.