Selected quad for the lemma: rest_n

Word A	Word B	Word C	Word D	Occurrence	Frequency Band	MI	MI Band	Prominent
rest_n	hand_n	left_a	rank_n	5,002	5	12.0784	5	true

Text snippets containing the quad

ID	Title	Author	Corrected Date of Publication (TCP Date of Publication)	STC	Words	Pages
A52120	The country-survey-book: or Land-meters vade-mecum Wherein the principles and practical rules for surveying of land, are so plainly (though briefly) delivered, that any one of ordinary parts (understanding how to add, substract, multiply and divide,) may by the help of this small treatise alone and a few cheap instruments easy to be procured, measure a parcel of land, and with judgment and expedition plot it, and give up the content thereof. With an appendix, containing twelve problems touching compound interest and annuities; and a method to contract the work of fellowship and alligation alternate, very considerably in many cases. Illustrated with copper plates. By Adam Martindale, a friend to mathematical learning.	Martindale, Adam, 1623-1686.; Collins, John, 1625-1683.	1692 (1692)	Wing M854A; ESTC R217468	73,611	191

the_o scale_n describe_v ●n_o mr._n leybourn_n book_n of_o mr._n wynne_n aforesaid_a ●s_v likewise_o all_o other_o mathematical_a instrument_n have_v be_v so_o large_a for_o my_o plain_a country-man_n sake_n i_o shall_v not_o proceed_v to_o the_o description_n of_o the_o new_a diagonal_a scale_n of_o which_o you_o may_v have_v the_o figure_n and_o description_n in_o mr._n wing_n book_n for_o though_o it_o be_v a_o excellent_a good_a one_o fi._n 14_o as_o i_o know_v by_o experience_n mr._n hayes_n have_v at_o my_o desire_n furnish_v my_o noble_a friend_n si●_n charles_n hoghton_n with_o a_o artificial_a one_o of_o that_o sort_n when_o i_o have_v the_o honour_n of_o assist_v he_o in_o mathematical_a study_n yet_o because_o it_o be_v pretty_a cost●●_n if_o well_o make_v and_o that_o before_o describe_v will_v very_o well_o answer_v its_o end_n i_o shall_v at_o present_a say_v no_o more_o of_o it_o but_o my_o reader_n may_v perhaps_o object_v to_o i_o th●●_n though_o i_o have_v instruct_v he_o how_o he_o may_v make_v a_o line_n of_o a_o exact_a length_n to_o answer_v to_o any_o number_n of_o chain_n and_o link_n give_v or_o find_v by_o measure_n upon_o the_o diagonal_a scale_n i_o have_v not_o yet_o show_v he_o how_o to_o measure_v a_o line_n as_o suppose_v a_o perpendicular_a who_o length_n be_v unknown_a upon_o they_o to_o give_v he_o therefore_o all_o satisfaction_n though_o what_o i_o have_v write_v already_o may_v help_v he_o to_o find_v this_o out_o let_v we_o suppose_v that_o in_o some_o figure_n make_v according_a to_o the_o diagonal_a scale_n b_o of_o 100l_n in_o a_o inch_n we_o meet_v in_o measure_v with_o a_o unknown_a perpendicular_a equal_a to_o the_o line_n in_o the_o margin_n take_v it_o between_o the_o point_n of_o my_o compass_n i_o first_o try_v whether_o it_o be_v even_a chain_n and_o find_v upon_o the_o first_o view_n that_o it_o be_v not_o 〈◊〉_d make_v a_o second_o trial_n whether_o it_o will_v prove_v to_o be_v even_a decade_n or_o ten_o of_o 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cut_v off_o fiu●_o again_o by_o a_o dash_n of_o your_o pen_n those_o on_o the_o left_a hand_n signify_v square_a perch_n pole_n or_o rood_n a_o few_o example_n will_v make_v all_o plain_a quest_n 1._o what_o be_v the_o content_a of_o a_o square_a 〈◊〉_d side_n be_v every_o one_o of_o they_o 7_o chain_n 25_o link_n length_n 7.25_o breadth_n 7.25_o 3625_o 1450_o 5075_o 525625_o 525625_o 4_o 102500_o 40_o 100000_o answ_n 5_o acre_n 1_o rood_n and_o 1_o perch_n as_o here_o appear_v quest_n 2._o in_o a_o long_a square_n who_o length_n be_v 14_o chain_n and_o the_o breadth_n 6_o chain_n 5_o link_n what_o be_v contain_v length_n 14.00_o breadth_n 6.05_o 7000_o 84000_o 847000_o 4_o 188000_o 40_o 3520000_o answ_n 8_o acre_n 1_o rood_n and_o 35_o perch_n as_o the_o work_n make_v it_o evident_a quest_n 3._o in_o a_o triangle_n who_o base_a be_v 3_o chain_n and_o half_a the_o perpendicular_a 98_o link_n what_o be_v the_o content_a the_o base_a 3.00_o half_a perpend_v 0.98_o 2400_o 2700_o 29400_o 4_o 117600_o 40_o 704000_o answ_n 0_o acre_n 1_o rood_n 7_o perch_n as_o here_o be_v plain_a there_o be_v other_o way_n of_o computation_n by_o scale_n table_n etc._n etc._n but_o that_o this_o be_v sound_a and_o demonstrative_a i_o come_v now_o to_o show_v by_o these_o follow_a step_n 1._o it_o be_v evident_a that_o in_o this_o way_n of_o multiplication_n the_o product_n be_v square_a link_n for_o every_o chain_n be_v 100_o link_n it_o be_v all_o one_o to_o multiply_v 7.25_o by_o 7.25_o or_o 725_o by_o 725_o without_o prick_n for_o the_o prick_v signify_v something_o as_o to_o conception_n but_o nothing_o at_o all_o in_o operation_n the_o product_n therefore_o of_o the_o first_o example_n be_v real_o 525625_o link_n 2._o every_o chain_n be_v 4_o perch_n long_o it_o follow_v that_o 5_o chain_n or_o 20_o perch_n in_o length_n and_o 2_o chain_n or_o 8_o perch_n in_o breadth_n make_v a_o acre_n or_o 160_o square_a perch_n for_o 20_o be_v multiply_v by_o 8_o gives_z 160._o 3._o from_o hence_o it_o plain_o follow_v far_a that_o there_o be_v exact_o 100000_o square_a link_n in_o a_o acre_n for_o 5_o chain_n multiply_v by_o 2_o be_v the_o same_o with_o 500_o link_n by_o 200_o which_o make_v 100000._o and_o he_o deserve_v not_o the_o name_n of_o a_o arithmetician_n that_o be_v ignorant_a of_o this_o old_a plain_a rule_n when_o the_o devisor_n consist_v of_o 1_o and_o cipher_n as_o 10_o 100_o 1000_o 10000_o 100000_o etc._n etc._n cut_v off_o from_o the_o right_a hand_n so_o many_o figure_n of_o the_o dividend_n as_o the_o devisor_n have_v cipher_n account_v they_o the_o remain_v so_o shall_v the_o rest_n on_o the_o left_a side_n be_v the_o quotient_a it_o be_v plain_a than_o that_o 525625_o square_a link_n make_v 5_o acre_n and_o 25625_o square_a link_n over_o thus_o i_o have_v make_v it_o clear_a to_o a_o very_a ordinary_a capacity_n that_o as_o far_o as_o concern_v acre_n the_o rule_n for_o computation_n be_v good_a now_o for_o rood_n and_o perch_n though_o i_o may_v turn_v off_o my_o reader_n with_o that_o know_a rule_n in_o decimal_n arithmetic_n multiply_v decimal_a fraction_n by_o know_a part_n give_v those_o know_a part_n in_o integer_n due_a regard_n be_v have_v to_o the_o separation_n i_o shall_v proceed_v in_o my_o plain_a way_n thus_o if_o 25625_o square_a link_n which_o remain_v above_o a_o acre_n do_v contain_v any_o quarter_n or_o quarter_n of_o a_o acre_n then_o if_o they_o be_v multipln_v by_o 4_o and_o divide_v by_o 100000_o that_o be_v five_o cut_v off_o from_o the_o product_n they_o will_v contain_v so_o many_o acre_n as_o now_o they_o do_v quarter_n or_o rood_n for_o any_o number_n of_o quarter_n multiply_v by_o 4_o must_v

17.5_o 500_o 700_o 100_o 8_o 1750.0_o 218.75_o 0_o 〈◊〉_d r_o =_o 0.033424_o 11_o 033424_o 033424_o rt_n =_o 0.367664_o p_o =_o 2._o 339948_o rt_n =_o 0.367664_o 21875_o d_o =_o 1._o 972284_o =_o 93817_o 124933_o note_n that_o if_o in_o stead_n of_o subduct_a rt_n from_o p_o i_o have_v turn_v rt_n into_o the_o arithmetical_a compliment_n 9632335_o and_o add_v that_o to_o the_o p_o 2._o 339948_o it_o will_v have_v do_v the_o same_o thing_n in_o a_o more_o convenient_a manner_n save_o that_o it_o be_v not_o so_o suit_v to_o the_o letter_n of_o the_o problem_n as_o here_o be_v evident_a 10_o be_v reject_v as_o in_o this_o case_n it_o must_v ever_o be_v from_o the_o index_n 0.033424_o 11_o 033424_o 033424_o 0.367664_o 9.632335_o 2.339948_o 1.972283_o quest_n 2._o in_o what_o time_n will_v 17l_o 10_n pay_v off_o a_o debt_n of_o 124_o l._n 18_o s._n 8_o d._n allow_v the_o creditor_n after_o 8_o per_fw-la cent_n compound_v interest_n answ_n in_o 11_o year_n thus_o manifest_a 8_o 100_o ∷_o 17.5_o 218.75_o =_o p_o 124.933_o 93_o 817_o =_o d_o p_o =_o 2.339948_o d_o =_o 1.972284_o r_o =_o 33424_o 0.367664_o 11_o 0_o any_o one_o that_o understand_v the_o very_a element_n of_o algebra_n may_v contract_v these_o twelve_o problem_n into_o three_o for_o the_o first_o of_o any_o rank_a will_n by_o reduction_n application_n and_o transposition_n produce_v the_o rest_n then_o the_o work_n of_o the_o second_o rank_n may_v be_v perform_v by_o the_o first_o if_o one_o but_o understand_v that_o instead_o of_o the_o pension_n he_o must_v take_v the_o principal_a correspondent_a to_o it_o and_o work_v with_o it_o till_o he_o have_v find_v the_o amount_v from_o which_o the_o principal_a must_v be_v subduct_v when_o the_o arrearage_n of_o a_o annuity_n be_v seek_v and_o so_o proportionable_o in_o the_o rest_n of_o the_o problem_n my_o noble_a lord_n delamer_n only_o note_v down_o for_o his_o own_o use_n rt_v +_o p_o =_o a_o and_o p_o −_o rt_fw-fr =_o d_o by_o which_o and_o a_o small_a canon_n of_o logarithm_n he_o will_v quick_o answer_v any_o question_n of_o this_o kind_n but_o for_o the_o help_n of_o young_a mathematician_n i_o have_v set_v they_o forth_o thus_o explicit_o the_o only_a inconvenience_n of_o any_o importance_n that_o i_o can_v yet_o discover_v in_o this_o method_n be_v that_o in_o both_o rank_n concern_v annuity_n the_o second_o and_o three_o problem_n be_v rather_o for_o demonstration_n of_o the_o other_o and_o to_o complete_a the_o round_n than_o for_o any_o other_o great_a use_n proceed_v upon_o such_o data_fw-la as_o be_v seldom_o give_v for_o find_v the_o pension_n and_o rate_n or_o if_o they_o be_v the_o work_n will_v be_v render_v useless_a yet_o we_o be_v not_o leave_v without_o sufficient_a help_n to_o find_v out_o pension_n or_o annuity_n by_o plain_a and_o proper_a data_fw-la for_o in_o reference_n to_o the_o second_o rank_n if_o the_o arrearage_n or_o stock_n to_o be_v raise_v with_o the_o rate_n of_o interest_n and_o time_n be_v give_v for_o find_v out_o such_o a_o annuity_n as_o at_o such_o a_o rate_n and_o in_o so_o much_o time_n will_v raise_v a_o give_v stock_n by_o its_o arrearage_n it_o be_v easy_o find_v thus_o suppose_v a_o annuity_n at_o pleasure_n and_o by_o the_o first_o problem_n of_o the_o second_o rank_n find_v out_o its_o arrearage_n then_o say_v by_o the_o rule_n of_o three_o as_o the_o arrearage_n find_v to_o the_o suppose_a annuity_n so_o the_o arrearage_n give_v to_o the_o annuity_n require_v for_o clear_v whereof_o let_v this_o be_v the_o example_n quest_n what_o annuity_n will_v at_o 6_o per_fw-la cent_n comp_n interest_n raise_v a_o stock_n of_o 693_o l._n 10_o s._n in_o fourteen_o year_n answ_n 33_o l._n per_fw-la annum_fw-la as_o here_o be_v manifest_a suppose_v 30_o l._n then_o the_o work_n go_v on_o thus_o 6_o 100_o ∷_o 30_o 30_o 6_o 3000_o 500_o 30_o 000._o r._n 0.025306_o 14_o 0.101224_o 0.25306_o rt_n =_o 0.354284_o 2._o 698970_o s_o =_o 3._o 053254_o =_o 1130●46_n 500●_n 630●46_n 630.46.30_o ∷_o 693_o 5●_n 30_o 630.46_o 20805.0_o 32.999_o 44046_o here_o we_o account_v 32._o 999_o for_o 33_o be_v so_o much_o within_o a_o inconsiderable_a trifle_n likewise_o in_o relation_n to_o the_o three_o rank_n if_o the_o worth_n or_o price_n rate_v and_o time_n be_v give_v and_o the_o pension_n to_o be_v purchase_v be_v require_v find_v the_o worth_n of_o any_o suppose_a pension_n by_o the_o first_o problem_n of_o the_o three_o rank_n than_o the_o proportion_n stand_v thus_o as_o the_o worth_n find_v to_o the_o suppose_a annuity_n so_o the_o worth_n or_o price_n give_v to_o the_o pension_n require_v as_o in_o the_o example_n follow_v 〈◊〉_d quest_n what_o annuity_n to_o continue_v eleven_o year_n will_v be_v purchase_v for_o 124_o l._n 18_o s._n 8_o d._n at_o 8_o per_fw-la cent_n comp._n interest_n answ_n 17l_o 10_n as_o here_o suppose_v 12_o l._n then_o 8_o 100_o ∷_o 12_o 12_o 200_o 100_o 8_o 1200_o 150_o 8_o 40_o 40_o 00_o r_o =_o 0.033424_o 11_o 0.033424_o 0.33424_o rt_n =_o 0.367664_o p_o =_o 2._o 176091_o rt_n =_o 0.367664_o 150_o 1._o 808427_o =_o 64332_o 85668_o 85.668.12_o ∷_o 124.933_o 12_o 249866_o 124933_o 85.668_o 1499.196_o 17._o 5_o 60_o if_o the_o interval_n betwixt_o every_o two_o payment_n 〈◊〉_d less_o than_o a_o year_n consider_v what_o part_n it_o be_v ●hether_o ½_o ¼_n 1_o 12_o 1_o 13_o 1_o 32_o 1_o 365_o etc._n etc._n and_o by_o the_o ●enominator_fw-la of_o the_o fraction_n signify_v that_o part_n divide_v the_o logarithm_n of_o 1_o l._n and_o its_o rate_n of_o increst_n usual_o call_v the_o logarithm_n of_o the_o rate_n ●en_o the_o absolute_a number_n answer_v to_o that_o quotient_a be_v make_v less_o by_o a_o unite_v will_v be_v 〈◊〉_d new_a divisor_n whereby_o divide_v the_o give_v pen●on_n so_o payable_a half_a yearly_a quarterly_a etc._n etc._n the_o correspondent_a principal_n will_v appear_v in_o the_o quo●ent_n with_o which_o you_o may_v proceed_v as_o if_o the_o payment_n be_v so_o many_o yearly_a one_o as_o this_o ●ext_a example_n show_v quest_n 1._o what_o be_v a_o quarterly_a rent_n of_o 3_o l._n 15_o s._n 〈◊〉_d continue_v thirteen_o year_n and_o one_o quarter_n worth_n in_o ●●dy_a money_n at_o 6_o per_fw-la cent_n compound_v interest_n answ_n 137_o l._n 10_o s_o 1_o d_o as_o appear_v here_o r_o =_o 4_o 0.025306_o 0.006326_o =_o 1●01467_n 1●_n ●01467_n .01467_o 3.75000_o 235.623_o 1059_o 1_o 4_o r_o =_o 0.006326_o number_n of_o quarter_n 53_o 0.018978_o 0.31630_o 1_o 4_o rt_o =_o 0.335278_o ar._n c._n 9●664721_n p_o =_o 2.407600_o 255623_o 2.072321_o =_o 118-119_a 137504_o whereas_o i_o multiply_v the_o four_o part_n of_o the_o log._n of_o the_o rate_n viz._n 0.006326_o by_o 53_o the_o number_n of_o quarter_n i_o may_v as_o well_o have_v multiply_v the_o whole_a log._n of_o the_o rate_n viz._n 0.025306_o by_o 13.25_o i_o e._n 13_o year_n and_o 1_o quarter_n and_o it_o will_v have_v be_v full_a as_o exact_v or_o rather_o more_o two_o place_n be_v cut_v off_o from_o the_o logarithm_n so_o multiply_v towards_o the_o right_a hand_n i_o say_v rather_o more_o exact_a because_o there_o remain_v 2_o when_o i_o quarter_v the_o log._n of_o the_o rate_n quest_n 2._o what_o be_v 5_o s._n per_fw-la week_n to_o continue_v 7_o ●ears_n and_o three_o quarter_n worth_a in_o ready_a money_n at_o 8_o per_fw-la cent_n compound_v interest_n answ_n 75_o l._n 17_o s._n 8_o d._n 2_o q._n 52_o 0.033424_o 0.000642_o =_o .00148_o 40_o .00148_o .25000_o 168.918_o 136_o r_o =_o 0.033424_o t_o =_o 7.75_o 0_o 167120_o 2_o 33968_o 2_o 33268_o rt_n =_o 0.259036.00_o ar._n ●9_n 740960_o p_o =_o 2.227675_o 168918_o 1.968638_o =_o 913033_o 75885_o here_o i_o multiply_v not_o by_o the_o number_n of_o week_n but_o by_o the_o number_n of_o year_n and_o quarter_n cut_v off_o two_o cipher_n from_o the_o product_n and_o i_o also_o take_v the_o arithmetical_a compliment_n of_o 0.259036_o viz._n 9.740963_o and_o add_v it_o to_o the_o log._n of_o the_o principal_a in_o stead_n of_o substract_v the_o log._n 0.259036_o from_o it_o last_o as_o to_o the_o rate_n of_o interest_n according_a to_o the_o sense_n of_o dr._n newton_n mr._n dary_n and_o other_o i_o see_v not_o why_o this_o method_n may_v not_o b●_n make_v use_v of_o as_o well_o as_o any_o other_o this_o universal_a rule_n be_v first_o understand_v in_o question_n belong_v to_o the_o second_o rank_n the_o great_a rate_n 〈◊〉_d interest_n the_o great_a arrearage_n and_o the_o less_o rate_v the_o less_o arrearage_n but_o in_o question_n belong_v to_o the_o three_o rank_n the_o great_a the_o rate_n of_o interest_n the_o less_o the_o present_a worth_n or_o price_n and_o the_o less_o the_o rate_n of_o interest_n the_o great_a the_o worth_n &_o vice_fw-la versa_fw-la i_o shall_v show_v