FELLOWSHIP

From Agepedia

FELLOWSHIP ; the name of a rule in arithmetic, useful in balancing accounts between traders, merchants, &c.; as also in the division of common land, prizemoney, and other cases of a similar kind. Fellowship is of two kinds, single and double; or fellowship without time, and fellowship with time. Single Fellowship is when all the moneys nave been employed for the same time; and therefore the shares are directly as the stock of each partner. The rule in this case is as follows:As the whole stock : the whole gain or loss : : each man's particular stock : his particular share of the gain or loss.Example. A bankrupt is indebted to A £1000, to B £2000, to C £3000; whereas his whole effects sold but for £1200: required each man's share. Here the whole debt is £6000 5 thereforef 1000 : £200, A's share. As 6000 :1200:: \ 2000 : £400, B's share.[ 3000: £600, C's share. Double Fellowship is when equal or different stocks are employed for different periods of time. The rule in this case is as follows:Multiply each person's stock by the time it has been engaged ; then say, As the sum of the products : the whole gain or loss : : each particular product : the corresponding share of the gain or loss.Example. A had in trade £50 for 4 months, and B £60 for 5 months, with which they gained £24: required each person's particular share.50 X 4 = 200 60X5 = 300 500 :24; 200 : £ 9 12s. A's gain. v 300 : £14 Ss. B's gain. (See Bonny castle's Arithmetic, and most other authors on this subject.)