Sentence:  The mass scale used in Table 5 - 1 was <WSD>derived</WSD> on the assumption that the motion of the glowing trail is related to the momentum transfer to the trail by the meteorite , permitting the calculation of the mass if the velocity is known ( Cook and Whipple , 1958 ) . 
Meaning of the word marked with <WSD> tags:  reason by deduction; establish by deduction