( You ( ( can ( see ( that ( ( these definitions ) ( ( ( are ( very similar ) ) , ) ( since ( ( ( a plane ) ( in ( three dimensions ) ) ) ( is ( analagous ( to ( ( a line ) ( in ( two dimensions ) ) ) ) ) ) ) ) ) ) ) ) ) . ) )
(ROOT (S (NP (PRP You)) (VP (MD can) (VP (VB see) (SBAR (IN that) (S (NP (DT these) (NNS definitions)) (VP (VBP are) (ADJP (RB very) (JJ similar)) (, ,) (SBAR (IN since) (S (NP (NP (DT a) (NN plane)) (PP (IN in) (NP (CD three) (NNS dimensions)))) (VP (VBZ is) (ADJP (JJ analagous) (PP (TO to) (NP (NP (DT a) (NN line)) (PP (IN in) (NP (CD two) (NNS dimensions)))))))))))))) (. .)))
You can see that these definitions are very similar, since a plane in three dimensions is analagous to a line in two dimensions.
(ROOT (S (NP (NNS Humans)) (VP (MD can) (VP (VB see) (PP (IN in) (NP (CD three) (NNS dimensions))))) (. .)))