2T = Ap2 + Bq2 + Cr2 − 2Fqr − 2Grp − 2Hpq.
(5)
Again, if x, y, z be the co-ordinates of P, the component velocities of m are
qz − ry, rx − pz, py − qx,
(6)
by § 7 (5); hence, if λ, μ, ν be now used to denote the component angular momenta about the co-ordinate axes, we have λ = Σ {m (py − qx)y − m(rx − pz) z }, with two similar formulae, or
| λ = Ap −Hq − Gr = | ∂T | , |
| ∂p |
| μ = −Hp + Bq − Fr = | ∂T | , |
| ∂q |
| ν = −Gp − Fq + Cr = | ∂T | . |
| ∂r |
(7)