( These ( ( can ( be ( ( categorized ( quite ( simply ( in ( terms ( of ( ( the distance ) ( between ( two points ) ) ) ) ) ) ) ) ) ( on ( the circle ) ) ) ) ) . ) )
(ROOT (S (NP (DT These)) (VP (MD can) (VP (VB be) (VP (VBN categorized) (ADVP (RB quite) (JJ simply) (PP (IN in) (NP (NP (NNS terms)) (PP (IN of) (NP (NP (DT the) (NN distance)) (PP (IN between) (NP (CD two) (NNS points)))))))) (PP (IN on) (NP (DT the) (NN circle)))))) (. .)))
These can be categorized quite simply in terms of the distance between two points on the circle.
(ROOT (S (NP (NNP Distance)) (VP (VBZ is) (NP (NP (DT the) (NN term)) (PP (IN for) (NP (NP (DT the) (NN length)) (PP (IN of) (NP (NP (DT the) (NN route)) (PP (IN between) (NP (CD two) (NNS points))))))))) (. .)))