SÖBS
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705]
PROBLEMS AND SOLUTIONS.
was given.
A line
3002
Collins
.*3144
Cayley
3120
33
3249
33
3206
33
3278
33
3329
33
*3356
33
*3507
33
*3536
33
*3591
33
*2652
33
*3677
33
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33
3875
33
3430
Miller
4298
Glaisher
srtices
..., m,
m + k
4392
4354
Roberts
Tucker
4458
4520
Cayley
Evans
' very
o the
4528
4581
Cayley
Wilkinson
ary of
*4638
Cayley
*4694
33
4793
Wolstenholme
4752
Cayley
*4946
33
5020
Woolhouse
•f the
5079
Cayley
bat is,
*5130
33
5208
Sylvester
Martin
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Cayley
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33
*5625
33
6 = 0,
*5387
33
*5927
33
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33
*6470
33
6766
33
6800
Miller
*5244
Cayley
In the following Contents, the Problems are referred to, each by its number and the
proposer’s name; and the subject is briefly indicated. An asterisk shews that no solution
shews that there is no number.
Systems of circles
Locus in piano
Jacobian of quadric surfaces
Sets of four points on a conic .
Arrangements of points and lines
Arrangements of numbers
Substitutions and permutations.
Roots of quartic equation.
Quadric cones through given points
Particle under central forces
Relation between areas of triangles
Parallel surfaces of an ellipsoid
Angle between normal and bisector of c.
Minimum circle enclosing three points
Description of curves
Negative pedals of ellipsoid and ellipse
Quadrilateral inscribable in circle
Symmetrical determinant .
Geometrical interpretation (note)
Two quartic curves .
Use of Degen’s tables
Expectation ....
A question in chances
Envelope of family of quadrics
Resultant of forces .
Relation among derivatives of a function
Cubic curve ....
Attraction of lens-shaped body
Algebraical theorem .
Bicircular quartic
Bicircular quartic
Trees .....
A question in probabilities
A system of equations
Conics and lines
A trinodal quartic .
Conical points ....
Algebraical theorem .
Coordinates of a line
Equation of a cubic curve
Singular tangents of a quartic.
Geometrical interpretation (note)
16 nodal quartic surface .
