Selected quad for the lemma: friend_n

Word A	Word B	Word C	Word D	Occurrence	Frequency Band	MI	MI Band	Prominent
friend_n	world_n	wrought_v	year_n	20	3	4.2489	3	false

Text snippets containing the quad

ID	Title	Author	Corrected Date of Publication (TCP Date of Publication)	STC	Words	Pages
A50425	Socius mercatoris: or The merchant's companion: in three parts. The first, being a plain and easie introduction to arithmetick, vulgur and decimal, the extraction of the square and cube roots, with a table of 200 square roots, and their use in the resolution of square equations. The second, a treatise of simple and compound interest and rebate, with two tables for the calculation of the value of leases or annuities, payable quarterly, the one for simple, the other compound interest, at 6 per cent. per annum, with rules for making the like for any other rate. The third, a new and exact way of measuring solids in the form of a prismoid and cylindroid, with the frustums of pyramids and of a cone: whereunto is added, some practical rules and examples for cask-gauging. By John Mayne, philo-accomptant.	Mayne, John, fl. 1673-1675.	1674 (1674)	Wing M1484; ESTC R214155	46,179	225

socius_fw-la mercatoris_fw-la or_o the_o merchant_n companion_n in_o three_o part_n the_o first_o be_v a_o plain_a and_o easy_a introduction_n to_o arithmetic_n vulgar_a and_o decimal_a the_o extraction_n of_o the_o square_a and_o cube_n root_n with_o a_o table_n of_o 200_o square_a root_n and_o their_o use_n in_o the_o resolution_n of_o square_a equation_n the_o second_o a_o treatise_n of_o simple_a and_o compound_v interest_n and_o rebate_v with_o two_o table_n for_o the_o calculation_n of_o the_o value_n of_o lease_n or_o annuity_n payable_a quarterly_o the_o one_o for_o simple_a the_o other_o compound_v interest_n at_o 6_o per_fw-la cent._n per_fw-la annum_fw-la with_o rule_n for_o make_v the_o like_a for_o any_o other_o rate_n the_o three_o a_o new_a and_o exact_a way_n of_o measure_v solid_n in_o the_o form_n of_o a_o prismoid_a and_o cylindroid_v with_o the_o frustum_n of_o pyramid_n and_o of_o a_o cone_n whereunto_o be_v add_v some_o practical_a rule_n and_o example_n for_o cask-gauging_a by_o john_n mayne_n philo-accomptant_a nunquam_fw-la nimis_fw-la quod_fw-la nunquam_fw-la satis_fw-la dicitur_fw-la sen._n london_n print_v by_o w_n g._n for_o n._n crouch_n in_o exchange-alley_n over_o against_o the_o royal-exchange_n in_o cornhill_n 1674._o to_o his_o honour_a friend_n tho._n williams_z m._n d._n physician_n in_o ordinary_a to_o his_o s._n majesty_n sir_n though_o the_o happiness_n which_o i_o former_o enjoy_v in_o your_o converse_n have_v be_v to_o my_o great_a loss_n for_o some_o year_n discontinue_v yet_o i_o easy_o persuade_v myself_o that_o the_o favour_n of_o a_o great_a prince_n and_o the_o best_a master_n in_o the_o world_n have_v not_o wrought_v such_o a_o change_n upon_o your_o even_a virtue_n but_o that_o you_o will_v still_o descend_v to_o remember_v he_o who_o you_o be_v once_o please_v to_o honour_v with_o the_o name_n of_o friend_n this_o confidence_n have_v embold'n_v i_o to_o present_v you_o with_o this_o small_a trifle_n too_o mean_v 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however_o they_o certain_o assure_v you_o that_o it_o be_v impossible_a the_o tooth_n of_o time_n shall_v obliterate_v the_o honourable_a esteem_n conserve_v for_o you_o in_o the_o heart_n of_o sir_n your_o most_o humble_a servant_n john_n mayne_n the_o preface_n i_o shall_v not_o trouble_v thou_o reader_n nor_o myself_o with_o a_o long_a apology_n for_o the_o publish_n this_o treatise_n how_o demure_o soever_o i_o shall_v pretend_v to_o the_o contrary_a i_o fear_v thou_o will_v still_o be_v apt_a to_o imagine_v that_o i_o have_v a_o tolerable_a good_a opinion_n of_o it_o before_o i_o venture_v it_o to_o the_o press_n and_o true_o i_o myself_o can_v well_o conceive_v how_o any_o man_n shall_v be_v over_o ambitious_a of_o be_v public_o laugh_v at_o if_o it_o be_v in_o any_o measure_n suit_v to_o the_o general_n good_a for_o which_o i_o intend_v it_o i_o may_v at_o least_o expect_v thy_o pardon_n but_o if_o upon_o the_o perusal_n thou_o shall_v find_v it_o otherwise_o i_o ingenuous_o acknowledge_v myself_o to_o have_v be_v mistake_v my_o design_n in_o this_o work_n be_v to_o render_v the_o rule_n of_o those_o excellent_a art_n which_o the_o title-page_n pretend_v to_o so_o plain_a and_o obvious_a as_o that_o they_o may_v be_v easy_o apprehend_v without_o the_o assistance_n of_o a_o live_a master_n and_o if_o there_o be_v nothing_o new_a in_o the_o whole_a but_o the_o perspicuity_n of_o the_o principle_n and_o easiness_n of_o the_o method_n which_o out_o of_o civility_n to_o myself_o i_o must_v deny_v yet_o those_o alone_o be_v sufficient_a to_o vindicate_v i_o in_o this_o publication_n and_o i_o hope_v thou_o will_v not_o be_v angry_a that_o i_o be_o a_o wellwisher_n to_o thy_o understanding_n for_o when_o i_o consider_v that_o among_o the_o many_o good_a book_n of_o this_o nature_n that_o be_v abroad_o in_o the_o world_n though_o write_v by_o person_n of_o great_a knowledge_n than_o i_o dare_v pretend_v to_o some_o be_v so_o learned_a and_o obscure_a as_o not_o to_o be_v understand_v unless_o by_o those_o who_o have_v already_o make_v a_o considerable_a proficiency_n in_o these_o thing_n other_o so_o voluminous_a and_o prolix_a that_o they_o fright_v the_o endeavour_n of_o such_o who_o can_v spend_v their_o whole_a time_n this_o way_n i_o be_v willing_a according_a to_o my_o ability_n to_o obviate_v both_o these_o inconvenience_n and_o according_o apply_v myself_o to_o the_o composure_n of_o something_o which_o for_o its_o plainness_n and_o brevity_n may_v be_v accommodate_v to_o those_o of_o mean_a capacity_n and_o small_a leisure_n and_o this_o book_n be_v the_o result_n of_o those_o contemplation_n whether_o i_o have_v accomplish_v my_o purpose_n or_o no_o i_o make_v thou_o the_o judge_n require_v only_o that_o thou_o censure_v impartial_o of_o the_o author_n and_o his_o endeavour_n without_o be_v offend_v that_o he_o be_v desirous_a to_o do_v thou_o a_o courtesy_n i_o shall_v not_o here_o expatiate_v in_o the_o praise_n of_o the_o argument_n i_o treat_v of_o nor_o give_v thou_o one_o line_n of_o encomium_n though_o out_o of_o the_o great_a affection_n i_o bear_v to_o these_o art_n i_o find_v a_o strange_a inclination_n in_o myself_o to_o be_v rhetorical_a yet_o i_o be_o resolve_v not_o to_o affront_v thou_o for_o true_o their_o usefulness_n and_o excellency_n be_v so_o universal_o know_v that_o to_o tell_v thou_o of_o it_o as_o a_o new_a thing_n be_v to_o suppose_v thou_o a_o person_n of_o more_o than_o ordinary_a ignorance_n only_a as_o i_o say_v before_o i_o must_v be_v so_o civil_a to_o myself_o too_o as_o to_o inform_v thou_o that_o beside_o the_o introduction_n to_o arithmetic_n and_o the_o treatise_n of_o interest_n of_o which_o i_o challenge_v no_o more_o than_o thou_o shall_v find_v thyself_o very_o willing_a to_o give_v i_o that_o part_n which_o concern_v the_o measure_n of_o solid_n viz._n the_o prismoid_a cylindroid_fw-fr etc._n etc._n be_v whole_o new_a and_o never_o before_o make_v public_a the_o 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mystery_n enough_o and_o more_o the_o heavenly_a orb_n be_v ten_o their_o motion_n all_o 5_o conspire_v to_o make_v a_o perfect_a decimal_n this_o be_v their_o music_n and_o they_o shall_v be_v thus_o 6_o in_o spite_n of_o tycho_n or_o copernicus_n it_o be_v say_v the_o muse_n be_v but_o nine_o but_o who_o 7_o rather_o than_o fail_v can_v add_v apollo_n too_o thus_o may_v we_o range_v the_o world_n and_o quick_o find_v 8_o we_o all_o to_o the_o number_n of_o our_o finger_n bind_v thus_o logic_n all_o the_o wander_a species_n bring_v 9_o and_o place_n under_o tenfold_a head_n of_o thing_n thus_o i_o to_o give_v the_o author_n praise_n in_o all_o 10_o reduce_v my_o verse_n to_o a_o decimal_n on_o his_o gauge_v your_o circle_n sir_n will_v make_v my_o folly_n guess_v you_o be_v a_o conjurer_n though_o you_o wo'n_v confess_v and_o gauge_v be_v the_o rugged_a dev'lish_a name_n of_o some_o hobgoblin_n imp_n the_o very_a

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negative_n 3._o when_o you_o have_v clear_v the_o equation_n by_o the_o second_o hereof_o and_o that_o the_o co-efficient_a in_o the_o high_a power_n be_v take_v away_o or_o be_v unity_n then_o will_v quadratique_a equation_n resolve_v themselves_o into_o the_o four_o follow_a compendium_n 4._o let_v your_o equation_n be_v so_o reduce_v that_o the_o high_a power_n stand_v on_o the_o left_a side_n alone_o the_o sign_n +_o be_v always_o annex_v or_o suppose_v to_o be_v annex_v example_n quesita_n a._n first_o equation_n second_o equation_n three_o equation_n four_o equation_n illustration_n by_o number_n quesita_n a._n first_o equation_n proof_n of_o the_o affirmative_a the_o square_a of_o 9_o =_o 81_o six_o time_n the_o root_n =_o 54_o to_o which_o add_v 27_o 81_o which_o be_v to_o be_v prove_v proof_n of_o the_o negative_a example_n 2._o second_o equation_n example_n 1._o example_n 2._o three_o equation_n example_n 1._o example_n 2._o four_o equation_n example_n 1._o example_n 2._o but_o if_o in_o a_o square_a equation_n there_o happen_v to_o be_v a_o coefficient_a annex_v to_o the_o high_a power_n it_o be_v resolve_v by_o transfer_v the_o coefficient_a with_o the_o sign_n of_o multiplication_n to_o the_o other_o side_n admit_v the_o equation_n be_v then_o the_o coefficient_a 2_o be_v transfer_v as_o before_o direct_v they_o will_v stand_v as_o in_o this_o example_n first_o equation_n the_o root_n of_o +25_o be_v +5_o then_o be_v +5+3_n =_o 8_o and_o a_o =_o +4_o the_o affirmative_a answer_n and_o +3_o −_o 5_o be_v =_o −_o 2_o and_o a_o =_o −_o 1_o the_o negative_a answer_n the_o proof_n be_v easy_a first_o if_o a_o be_v =_o 4_o 2_o aa_n be_v =_o +_o 32_o and_o 6_o a_o be_v =_o +24_o to_o which_o +8_o be_v add_v the_o sum_n be_v +32_o which_o be_v to_o be_v prove_v again_o a_o =_o −_o 1_o then_z 1_o aa_o be_v =_o −_o 2_o whereto_o +8_o be_v add_v the_o sum_n be_v =_o +6_o which_o also_o be_v to_o be_v do_v second_o equation_n now_o +_o 13_o +_o the_o √_o 121_o viz._n +_o 11_o be_v =_o +24_o the_o ¼_n whereof_o be_v =_o +6_o =_o a_o and_o aa_o =_o 36_o and_o 4_o aa_o =_o +144_o +26_o a_o =_o +156_o to_o which_o if_o −_o 12_o be_v add_v the_o sum_n will_v be_v +144_o also_o again_o if_o to_o +13_o you_o add_v −_o the_o √_o 121_o viz._n −_o 11_o 4_o a_o will_v be_v =_o +2_o and_o consequent_o +_o a_o =_o +½_n 4_o aa_n be_v then_o =_o +1_o and_o +26_o =_o +13_o to_o which_o add_v −_o 12_o and_o the_o sum_n be_v =_o +1_o which_o be_v to_o be_v prove_v three_o equation_n −_o 3+13_n =_o +5_o a_o here_o a_o =_o +2_o 5_o aa_o =_o +20_o −_o 6_o a_o =_o −_o 12_o to_o which_o add_v +32_o the_o sum_n be_v also_o +20._o again_o −_o 3_o −_o 13_o =_o −_o 16_o =_o −_o 5_o a_o and_o a_o =_o −_o 3.2_o 5_o aa_o =_o +51.2_o also_o −_o 6_o a_o being_z =_o +19.2_o to_o which_o add_v +32_o the_o sum_n be_v =_o +51.2_o four_o equation_n which_o be_v to_o be_v do_v note_v always_o where_o there_o be_v no_o sign_n annex_v to_o any_o term_n in_o the_o equation_n the_o sign_n +_o be_v suppose_a to_o be_v annex_v i_o have_v be_v the_o large_a in_o these_o example_n that_o the_o young_a analist_n may_v with_o the_o more_o ease_n apprehend_v the_o several_a kind_n by_o this_o variety_n in_o some_o o●_n the_o surd_a root_n i_o have_v on_o purpose_n omit_v the_o large_a number_n of_o place_n four_o or_o five_o be_v sufficient_a for_o use_v in_o most_o case_n but_o if_o any_o desire_n to_o be_v more_o exact_a he_o may_v take_v they_o as_o far_o as_o he_o please_v or_o the_o table_n do_v exhibit_v of_o the_o cube_n root_n the_o cube_n be_v a_o