ユニバーサル横メルカトル図法
k = k 0 A a { 1 + ( 1 − n 1 + n tan  φ ) 2 } σ 2 + τ 2 t 2 + cos 2  ( λ − λ 0 ) , {\displaystyle k={\frac {k_{0}A}{a}}{\sqrt {\left\{1+\left({\frac {1-n}{1+n}}\tan \varphi \right)^{2}\right\}{\frac {\sigma ^{2}+\tau ^{2}}{t^{2}+\cos ^{2}(\lambda -\lambda _{0})}}}},}
γ = tan − 1  ( τ 1 + t 2 + σ t tan  ( λ − λ 0 ) σ 1 + t 2 − τ t tan  ( λ − λ 0 ) ) . {\displaystyle \gamma =\tan ^{-1}\left({\frac {\tau {\sqrt {1+t^{2}}}+\sigma t\tan(\lambda -\lambda _{0})}{\sigma {\sqrt {1+t^{2}}}-\tau t\tan(\lambda -\lambda _{0})}}\right).}