As an illustration let us find the values of λ and κ for ϵ = 0.112 and β = 0.044. On inspection of the table it is seen that λ lies between 0.30 and .035 and κ between .090 and .095. When κ = .090, λ = .033 for ϵ = .112. When κ = .095, λ = .031 for ϵ = .112. For β = .042 and κ = .090, λ = .033 and for β = .046 and κ = .095, λ = .031, ϵ = .112 in each case. Hence, to first differences, λ = .032 and κ = .093 for ϵ = .112 and β = .044. For interpolation in parts of the table showing more rapid variations appropriate methods will suggest themselves. Taken geometrically the table represents two distinct systems of curves, with each curve of one system intersecting all the curves of the other system. Therefore, a pair of values for λ and κ can always be found for values of ϵ and β within the range of the table. Department of Mathematics, Ohio State University. TABLE OF ϵ AND β. (ϵ is the first and β the second number of each pair.) λ ───┬──────────────────────────────────────────── κ │-040 -035 -030 -025 -020 -015 -010 -005 000 ───┴──────────────────────────────────────────── 000 -061 -056 -050 -043 -035 -027 -019 -010 000 000 000 000 000 000 000 000 000 000 005 -055 -049 -042 -035 -027 -019 -010 000 000 000 000 000 000 000 000 000 010 -055 -049 -042 -035 -027 -018 -010 000 000 000 000 000 000 000 000 001 015 -049 -042 -035 -027 -018 -009 001 001 001 001 001 001 001 001 020 -048 -041 -034 -026 -017 -008 002 001 002 002 002 002 002 002 025 -047 -040 -033 -025 -016 -007 003 002 002 002 003 003 003 003 030 -046 -039 -032 -024 -015 -006 004 003 003 004 004 004 004 004 035 -045 -038 -031 -023 -014 -005 005 004 005 005 005 005 005 006 040 -037 -030 -022 -013 -004 006 006 006 007 007 007 007 045 -036 -028 -020 -011 -002 008 008 008 008 009 009 009 050 -034 -026 -018 -009 -000 010 009 010 010 011 011 011 055 -032 -024 -016 -007 002 012 011 012 012 013 013 013 060 -022 -014 -005 004 014 014 015 015 016 016 065 -020 -012 -003 006 017 016 017 018 018 019 070 -018 -009 000 009 019 019 020 020 021 022 075 -015 -007 002 012 022 022 023 023 024 025 080 -013 -004 005 015 025 025 026 026 027 028 085 -001 008 018 028 029 030 031 032