<Dd> <Dl> <Dd> secant Mercator scale, k = 0.9996 sec ⁡ φ . (\ displaystyle \ quad k \; = 0.9996 \ sec \ phi .) </Dd> </Dl> </Dd> <Dl> <Dd> secant Mercator scale, k = 0.9996 sec ⁡ φ . (\ displaystyle \ quad k \; = 0.9996 \ sec \ phi .) </Dd> </Dl> <Dd> secant Mercator scale, k = 0.9996 sec ⁡ φ . (\ displaystyle \ quad k \; = 0.9996 \ sec \ phi .) </Dd> <Ul> <Li> the scale on the equator is 0.9996, </Li> <Li> the scale is k = 1 at a latitude given by φ 1 (\ displaystyle \ phi _ (1)) where sec ⁡ φ 1 = 1 / 0.9996 = 1.00004 (\ displaystyle \ sec \ phi _ (1) = 1 / 0.9996 = 1.00004) so that φ 1 = 1.62 (\ displaystyle \ phi _ (1) = 1.62) degrees, </Li> <Li> k = 1.0004 at a latitude φ 2 (\ displaystyle \ phi _ (2)) given by sec ⁡ φ 2 = 1.0004 / 0.9996 = 1.0008 (\ displaystyle \ sec \ phi _ (2) = 1.0004 / 0.9996 = 1.0008) for which φ 2 = 2.29 (\ displaystyle \ phi _ (2) = 2.29) degrees . Therefore, the projection has 1 <k <1.0004 (\ displaystyle 1 <k <1.0004), that is an accuracy of 0.04%, over a wider strip of 4.58 degrees (compared with 3.24 degrees for the tangent form). </Li> </Ul>

The relationship between parts of the earth and the whole earth is expressed as