User:Peter Mercator/Sandbox
ϕ {\displaystyle \phi } λ {\displaystyle \lambda } α {\displaystyle \alpha }
a δ ϕ {\displaystyle a\delta \phi } a {\displaystyle a} ( a cos ϕ ) δ λ {\displaystyle (a\cos \phi )\delta \lambda } ( a cos ϕ ) {\displaystyle (a\cos \phi )}
δ x = a δ λ {\displaystyle \delta x=a\delta \lambda } δ y {\displaystyle \delta y}
π / 180 {\displaystyle \pi /180} ) [ − π , π ] {\displaystyle [{-}\pi ,\pi ]} ϕ {\displaystyle \phi } [ − π / 2 , π / 2 ] {\displaystyle [{-}\pi /2,\pi /2]} .
y ′ ( ϕ ) = 1 {\displaystyle y'(\phi )=1}
y {\displaystyle y} -direction x {\displaystyle x} -direction 2 π a cos ϕ {\displaystyle 2\pi a\cos \phi } sec ϕ {\displaystyle \sec \phi } 2 π a {\displaystyle 2\pi a}
Lambert x = a λ y = a sin ϕ {\displaystyle x=a\lambda \qquad \qquad y=a\sin \phi }
40,000 km
1 < k < 1.0004 {\displaystyle 1<k<1.0004}