The Principles of the Solution of the Senate-house 'riders,' Exemplified by the Solution of Those Proposed in the Earlier Parts of the Examinations of the Years 1848-1851 |
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Page vii
... quantity vary directly as ( a ) when ( b ) is invari- able , and inversely as ( 6 ) when ( a ) is invariable , prove that it α will vary as when both ( a ) and ( b ) are variable . b ' Ex . If 5 men and 7 boys can reap a field of corn ...
... quantity vary directly as ( a ) when ( b ) is invari- able , and inversely as ( 6 ) when ( a ) is invariable , prove that it α will vary as when both ( a ) and ( b ) are variable . b ' Ex . If 5 men and 7 boys can reap a field of corn ...
Page 22
... quantities . ( B ) . Shew that the greatest common measure of the two numbers is equal to the greatest common measure of any divisor made use of in the process and the cor- responding dividend . Let the usual process for finding G.C. M. ...
... quantities . ( B ) . Shew that the greatest common measure of the two numbers is equal to the greatest common measure of any divisor made use of in the process and the cor- responding dividend . Let the usual process for finding G.C. M. ...
Page 24
... quantity vary directly as a when b is invari- able , and inversely as b when a is invariable ; prove α it will vary as b when both a and b are variable . prove that ( B ) . If 5 men and 7 boys can reap a field of corn of 125 acres in 15 ...
... quantity vary directly as a when b is invari- able , and inversely as b when a is invariable ; prove α it will vary as b when both a and b are variable . prove that ( B ) . If 5 men and 7 boys can reap a field of corn of 125 acres in 15 ...
Page 25
... quantities in arith- metical progression . ( B ) . The square of the arithmetic mean of two quan- tities is equal to the arithmetic mean of the arithmetic and geometric means of the squares of the same two quantities . We find from ( 4 ) ...
... quantities in arith- metical progression . ( B ) . The square of the arithmetic mean of two quan- tities is equal to the arithmetic mean of the arithmetic and geometric means of the squares of the same two quantities . We find from ( 4 ) ...
Page 26
... quantities in geometri- cal progression . ( B ) . Apply the result to find a common fraction equi- valent to a recurring decimal fraction . ( C ) . If a be the first and the last of a series of n quantities in geometrical progression ...
... quantities in geometri- cal progression . ( B ) . Apply the result to find a common fraction equi- valent to a recurring decimal fraction . ( C ) . If a be the first and the last of a series of n quantities in geometrical progression ...
Other editions - View all
The Principles of the Solution of the Senate-House 'Riders: Exemplified by ... Francis J. Jameson No preview available - 2018 |
The Principles of the Solution of the Senate-House 'Riders: Exemplified by ... Francis J. Jameson No preview available - 2015 |
Common terms and phrases
AC² AN.NM Arithmetic arithmetical progression axis bisects body C₁ Cambridge centre of gravity chord CHURCHILL BABINGTON circle cloth cone Conic Sections conjugate hyperbola constant curvature curve cycloid describe diameter direction directrix distance drawn Edition ellipse equations equilibrium Fellow of St fluid focus geometrical given point Hence horizontal hyperbola inches inclined inscribed John's College joining latus-rectum least common multiple Lemma length locus meet mirror move number of seconds oscillation parabola parallel parallelogram particle perpendicular plane polygon pressure prop proportional proposition prove pullies quadrilateral quantity radius ratio rays rectangle refraction right angles sewed shew sides specific gravity spherical square straight line string surface tan² tangent triangle ABC Trinity College tube V₁ vary vertex vertical W₁ weight
Popular passages
Page 4 - To divide a given straight line into two parts, so that the rectangle contained by the whole and one of the parts, shall be equal to the square of the other part.
Page 6 - The angle at the centre of a circle is double of the angle at the circumference upon the same base, that is, upon the same part of the circumference.
Page 11 - AB is a diameter, and P any point in the circumference of a circle; AP and BP are joined and produced if necessary ; if from any point C of AB, a perpendicular be drawn to AB meeting AP and .BP in points D and E respectively, and the circumference of the circle in a point F, shew that CD is a third proportional of CE and CF.
Page 9 - IF the angle of a triangle be divided into two equal angles, by a straight line which also cuts the base; the segments of the base shall have the same ratio which the other sides of the triangle have to one another...
Page 4 - In any right-angled triangle, the square which is described upon the side subtending the right angle, is equal to the squares described upon the sides which contain the right angle.