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19

DYNAMICS OF A PARTICLE.

Propositions.

Prop. I. Pr.

To find the value of a given Examiner.

*Example.* A takes in 10 books in the Final Examination, and gets a 3d Class: B takes in the Examiners, and gets a 2nd. Find the value of the Examiners in terms of books. Find also their value in terms in which no Examination is held.

Prop. II. Pr.

To estimate Profit and Loss.

*Example*. Given a Derby Prophet, who has sent 3 different winners to 3 different betting-men, and given that none of the three horses are placed. Find the total Loss incurred by the three men (α) in money, (β) in temper. Find also the Prophet. Is this latter generally possible?