( ( On ( an ( interval scale ) ) ) ( ( ( the distance ) ( between ( any ( two positions ) ) ) ) ( ( is ( of ( known size ) ) ) . ) ) )
(ROOT (S (PP (IN On) (NP (DT an) (JJ interval) (NN scale))) (NP (NP (DT the) (NN distance)) (PP (IN between) (NP (DT any) (CD two) (NNS positions)))) (VP (VBZ is) (PP (IN of) (NP (VBN known) (NN size)))) (. .)))
On an interval scale the distance between any two positions is of known size.
(ROOT (S (NP (NNP Distance)) (VP (VBZ is) (VP (VBN defined) (PP (IN as) (NP (NP (DT the) (NN magnitude) (CC or) (NN size)) (PP (IN of) (NP (NP (NN displacement)) (PP (IN between) (NP (CD two) (NNS positions))))))))) (. .)))