${\displaystyle \Upsilon }$ = — l (Nq² + Mr² — 2L₁ qr) + 2l₁ (p (L₁p — M₁q — N₁r) + Lqr)
— m (Lr² + Np² — 2M₁ rp) + 2m₁ (q (— L₁p + M₁q — N₁r) + Mrp)
— n (Mp² + Lq² — 2N₁ pq) + 2n₁ (r (— L₁p — M₁q + N₁r) + Npq)

${\displaystyle {\frac {\mathrm {N} q^{2}+\mathrm {M} r^{2}-2\mathrm {L} _{1}qr}{q^{2}+r^{2}}}={\frac {p(\mathrm {L} _{1}p-\mathrm {M} _{1}q-\mathrm {N} _{1}r)+\mathrm {L} qr}{qr}}}$ ${\displaystyle ={\frac {\mathrm {L} r^{2}+\mathrm {N} p^{2}-2\mathrm {M} _{1}rp}{r^{2}+p^{2}}}={\frac {q(-\mathrm {L} _{1}p+\mathrm {M} _{1}q-\mathrm {N} _{1}r)+\mathrm {M} rp}{rp}}}$ ${\displaystyle ={\frac {\mathrm {M} p^{2}+\mathrm {L} q^{2}-2\mathrm {N} _{1}pq}{p^{2}+q^{2}}}={\frac {r(-\mathrm {L} _{1}p-\mathrm {M} _{1}q+\mathrm {N} _{1}r)+\mathrm {N} pq}{pq}}}$ ${\displaystyle ={\frac {k{\sqrt {p^{2}+q^{2}+r^{2}}}}{\Delta }};}$

${\displaystyle \Upsilon =-{\frac {k{\sqrt {p^{2}+q^{2}+r^{2}}}}{\Delta }}\times {\begin{Bmatrix}(m+n)p^{2}-2l_{1}qr\\+(n+l)q^{2}-2m_{1}rp\\+(l+m)r^{2}-2n_{1}pq\end{Bmatrix}}.}$

(m + n) p² + (n + l) q² + (l + m) r² — 2l₁qr — 2m₁rp — 2n₁pq ${\displaystyle =(p^{2}+q^{2}+r^{2})^{\frac {3}{2}}\left({\frac {1}{\delta }}+{\frac {1}{\delta _{1}}}\right),}$

${\displaystyle \Upsilon =-{\frac {k{\sqrt {p^{2}+q^{2}+r^{2}}}}{\Delta }}\left({\frac {1}{\delta }}+{\frac {1}{\delta _{1}}}\right).}$