Consider a text file with scientific data, e.g.:
5.787037037037037063e-02 2.048402977658663748e-01
1.157407407407407413e-01 4.021264347118673754e-01
1.736111
You could possibly do it with sed, e.g.
sed -n -e 'p;N;d;' file # print every other line, starting with line 1
If you have GNU sed it's pretty easy
sed -n -e '0~10p' file # print every 10th line
sed -n -e '1~2p' file # print every other line starting with line 1
sed -n -e '0~2p' file # print every other line starting with line 2