Mathematical Questions and Solutions

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F. Hodgson., 1868 - Mathematics

Contents

No IV By W S B WOOLHOUSE F R A S
17
If three points be taken at random on the surface of a sphere
21
Form 2 1 symbols into triads so that every pair of
22
2n1 prove that in general if n is not
23
Given a conic to find four points such that all the conics
26
and 3 apply the latter integral to prove that the chance
28
Note on the Number of Primes in the 7th Million
31
AB is a given straight line upon which four points are taken
43
is equal to sin¹ x²
59
Note with reference to question 1829 Reprint Vol IV p 77
63
Prove that the equation of the osculating circle at the extre
67
Given four points and also the conic of centres viz
70
Find the average 1 of the areas of all the circles which
73
Sixtythree schoolboys walk out three abreast for thirtyone
76
Note on the FourPoint Problem By T SAVAGE M
83
If the side AD of a square be divided harmonically in B
95

Find the locus of points such that the chord of contact
50
Note on Question 1990 By PROFESSOR CAYLEY
51
A is any point within or without a conic B any point on
104

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