require_v show_v that_o the_o weight_n of_o that_o other_o bullet_n of_o 8_o inch_n diameter_n be_v 72_o pound_n example_n 2._o if_o a_o gun_n of_o 5_o inch_n diameter_n require_v for_o her_o due_a charge_n 16_o pound_n of_o powder_n how_o much_o powder_n will_v a_o gun_n of_o 4_o inch_n diameter_n in_o the_o bear_v require_v for_o her_o due_a charge_n of_o the_o same_o powder_n place_n 5_o on_o the_o first_o to_z 4_o on_o the_o second_o and_o then_o against_o 16_o on_o that_o first_o be_v 12,8_o on_o the_o second_o and_o next_o against_o 12,8_o on_o the_o first_o be_v 10,24_o on_o the_o second_o and_o three_o against_o that_o 10,24_o on_o the_o first_o be_v 8,2_o on_o the_o second_o which_o three_o number_n 8,2_o be_v the_o answer_n to_o the_o question_n show_v that_o 8_o pound_n and_o 2_o ten_o part_n of_o a_o pound_n of_o powder_n be_v a_o due_a charge_n for_o a_o gun_n of_o 4_o inch_n bear_v problem_n ix_o a_o company_n of_o man_n lay_v down_o several_a sum_n of_o money_n together_o into_o one_o stock_n wherewith_o they_o trade_v and_o get_v gain_n to_o find_v out_o how_o much_o each_o man_n part_n of_o the_o gain_n must_v be_v answerable_a to_o his_o part_n of_o money_n lay_v down_o in_o stock_n let_v five_o man_n who_o name_n let_v be_v represent_v by_o these_o five_o letter_n a_o b_o c_o d_o e_o make_v a_o stock_n of_o 300_o pound_n of_o which_o stock_n a_o put_v in_o 84_o pound_n b_o put_v in_o 72_o pound_n c_o put_v in_o 48_o pound_n d_o put_v in_o 54_o pound_n and_o e_o put_v in_o 42_o pound_n which_o all_o together_o make_v the_o 300_o pound_n now_o at_o the_o end_n of_o a_o time_n have_v trade_v therewith_o they_o gain_v clear_o 50_o pound_n and_o let_v it_o be_v demand_v what_o portion_n of_o the_o gain_n each_o man_n must_v have_v according_a to_o his_o proportion_n of_o money_n lay_v down_o in_o stock_n the_o rule_n to_o answer_v this_o demand_n be_v thus_o as_o 300_o the_o whole_a stock_n to_o 50_o pound_n the_o whole_a gain_n so_o be_v each_o man_n portion_n of_o the_o stock_n to_o his_o portion_n of_o the_o gain_n therefore_o set_v 300_o the_o stock_n on_o the_o first_o to_o 50_o the_o gain_n on_o the_o second_o and_o then_o against_o each_o man_n particular_a portion_n lay_v down_o be_v seek_v out_o on_o the_o first_o be_v his_o portion_n of_o the_o gain_n on_o the_o second_o as_o against_o 84_o the_o portion_n lay_v down_o by_o a_o on_o the_o first_o be_v 14_o his_o portion_n of_o the_o gain_n on_o the_o second_o and_o against_o 72_o the_o portion_n of_o b_o be_v 12_o pound_n his_o portion_n of_o the_o gain_n against_o 48_o the_o portion_n of_o c_o be_v 8_o pound_n his_o portion_n of_o the_o gain_n against_o 54_o the_o portion_n of_o d_o be_v 9_o his_o portion_n of_o the_o gain_n and_o against_o 42_o pound_n on_o the_o first_o the_o portion_n of_o e_o be_v 7_o pound_n on_o the_o second_o his_o portion_n of_o the_o 50_o pound_n gain_n thus_o much_o be_v each_o man_n several_a portion_n of_o the_o 50_o pound_n gain_n all_o which_o several_a portion_n of_o the_o gain_n add_v together_o make_v up_o the_o whole_a gain_n of_o 50_o pound_n thus_o upon_o our_o line_n can_v we_o work_v that_o rule_n of_o arithmetic_n call_v the_o rule_n of_o fellowship_n which_o be_v when_o diverse_a man_n adventure_v a_o stock_n of_o money_n together_o and_o therewith_o trade_n and_o either_o gain_n or_o lose_v a_o certain_a sum_n of_o money_n to_o find_v each_o man_n portion_n of_o the_o gain_n or_o loss_n answerable_a to_o his_o portion_n of_o money_n put_v into_o the_o stock_n problem_n x._o of_o interest_n and_o annuity_n to_o find_v the_o interest_n of_o any_o sum_n of_o money_n after_o any_o rate_n by_o the_o 100_o propound_v what_o be_v the_o interest_n of_o 65_o pound_n for_o a_o year_n after_o the_o rate_n of_o 8_o in_o the_o 100_o by_o the_o rule_n of_o proportion_n the_o question_n be_v thus_o resolve_v as_o 100_o be_v to_o 108_o so_o be_v 65_o to_o the_o four_o term_n set_a 1_o or_o 100_o on_o the_o first_o to_o 108_o on_o the_o second_o and_o then_o against_o 65_o on_o the_o first_o be_v 70,2_o on_o the_o second_o which_o be_v 70_o pound_n 4_o shilling_n so_o much_o do_v the_o principal_a and_o interest_n arise_v unto_o in_o a_o year_n that_o be_v to_o say_v five_o pound_n and_o four_o shilling_n and_o without_o stir_v the_o instrument_n against_o any_o other_o sum_n of_o principal_a on_o the_o first_o be_v the_o principal_a and_o interest_n thereof_o on_o the_o second_o as_o against_o 40_o pound_n be_v 43_o pound_n 4_o shilling_n and_o against_o 80_o pound_n be_v 86_o pound_n and_o 8_o shilling_n from_o whence_o it_o appear_v that_o 3_o pound_n 4_o shilling_n be_v the_o interest_n of_o 40_o pound_n for_o a_o year_n and_o 6_o pound_n 8_o shilling_n the_o interest_n of_o 80_o pound_n for_o a_o year_n in_o like_a manner_n against_o 27_o pound_n 14_o shilling_n principal_a or_o 27,7_o be_v 29_o pound_n 18_o shilling_n and_o a_o little_a more_o or_o else_o work_v thus_o set_v 1_o or_o 100_o back_n to_o 8_o and_o then_o against_o 65_o on_o that_o first_o be_v 5,2_o on_o the_o second_o and_o against_o 40_o pound_n on_o the_o first_o be_v 3,2_o on_o the_o second_o so_o the_o interest_n of_o the_o one_o be_v 5_o pound_n 4_o shilling_n and_o of_o the_o other_o 3_o pound_n 4_o shilling_n if_o the_o rate_n of_o the_o interest_n propose_v be_v 6_o in_o the_o 100_o than_o set_v 100_o on_o the_o first_o to_o 106_o on_o the_o second_o and_o then_o against_o 65_o pound_n on_o the_o first_o be_v 68_o pound_n 18_o shilling_n on_o the_o second_o which_o be_v the_o principal_a and_o interest_n together_o of_o 65_o pound_n for_o a_o year_n or_o set_v 100_o on_o the_o first_o to_z 6_o on_o the_o second_o and_o then_o against_o 65_o on_o the_o first_o be_v 3,9_o on_o the_o second_o this_o 3,9_o be_v 3_o pound_n 18_o shilling_n the_o interest_n alone_o of_o 65_o pound_n for_o a_o year_n and_o so_o of_o any_o other_o of_o interest_n of_o money_n continue_v from_o year_n to_o year_n the_o increase_n or_o interest_n of_o money_n from_o year_n to_o year_n for_o many_o year_n be_v in_o continual_a proportion_n to_o the_o principal_a as_o 100_o be_v to_o its_o interest_n as_o if_o 40_o pound_n be_v to_o be_v continue_v at_o interest_n for_o many_o year_n at_o the_o rate_n of_o 6_o in_o the_o 100_o set_a 100_o on_o the_o first_o to_o 106_o on_o the_o second_o and_o then_o against_o 40_o on_o the_o first_o be_v 42,4_o on_o the_o second_o that_o be_v 42_o pound_n 8_o shilling_n so_o much_o be_v the_o first_o year_n principal_a and_o interest_n and_o now_o if_o you_o look_v 42,4_o on_o the_o first_o you_o shall_v have_v right_a against_o it_o 44,9_o and_o more_o that_o be_v 44_o pound_n 18_o shilling_n and_o more_o for_o the_o principal_a and_o interest_n of_o two_o year_n and_o against_o 44,9_o on_o the_o first_o be_v 47,6_o and_o better_o on_o the_o second_o that_o be_v 47_o pound_n 12_o shilling_n 8_o penny_n the_o interest_n and_o principal_n of_o 40_o pound_n in_o three_o year_n again_o against_o 47,6_o on_o the_o first_o be_v 50,45_o and_o better_o that_o be_v 50_o pound_n 9_o shilling_n 7_o penny_n so_o much_o be_v the_o principal_a and_o interest_n together_o of_o 40_o pound_n at_o the_o end_n of_o 4_o year_n and_o so_o forth_o to_o as_o many_o year_n as_o be_v require_v of_o annuity_n when_o land_n be_v sell_v at_o certain_a year_n purchase_v according_a to_o the_o yearly_a rent_n to_o find_v what_o their_o value_n upon_o the_o purchase_n will_v be_v set_v 1_o on_o the_o first_o to_o the_o number_n of_o year_n purchase_v on_o the_o second_o and_o then_o against_o their_o yearly_a rent_n on_o the_o first_o be_v the_o value_n of_o the_o purchase_n on_o the_o second_o example_n let_v a_o house_n and_o land_n worth_a 16_o pound_n a_o year_n be_v set_v to_o sale_n at_o 14_o year_n purchase_n and_o demand_v make_v how_o much_o money_n it_o will_v arise_v unto_o at_o that_o rate_n set_a 1_o on_o the_o first_o to_z 14_o the_o number_n of_o year_n purchase_v on_o the_o second_o and_o then_o against_o 16_o the_o yearly_a rent_n on_o the_o first_o be_v 224_o on_o the_o second_o which_o be_v 224_o pound_n so_o much_o money_n do_v the_o purchase_n arise_v unto_o of_o 16_o pound_n a_o year_n buy_v at_o 14_o year_n purchase_n if_o the_o price_n of_o the_o land_n be_v give_v and_o that_o it_o cost_v after_o 14_o year_n purchase_n to_o find_v what_o yearly_o rend_v it_o be_v sell_v at_o in_o this_o case_n set_v 14_o on_o the_o first_o to_z 1_o on_o the_o second_o and_o then_o against_o the_o sum_n of_o money_n