Selected quad for the lemma: nature_n
Text snippets containing the quad
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A61376
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Campanalogia: or, The art of ringing improved. With plain and easie rules to guide the practitioner in the ringing all kinds of changes. To which is added, great variety of new peals.
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Stedman, Fabian, 1631?-1713.
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1677
(1677)
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Wing S5374A; ESTC R32671
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83,405
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235
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campanalogia_n or_o the_o art_n of_o ring_v improve_v with_o plain_a and_o easy_a rule_n to_o guide_v the_o practitioner_n in_o the_o ring_n all_o kind_n of_o change_n to_o which_o be_v add_v great_a variety_n of_o new_a peal_n london_n print_v by_o w._n godbid_v for_o w.s._n and_o be_v to_o be_v sell_v by_o langley_n curtis_n in_o goat-court_n on_o ludgate-hill_n 1677._o to_o the_o honour_a and_o to_o his_o much_o esteem_a friend_n the_o member_n of_o the_o society_n of_o college_n youth_n gentleman_n as_o your_o society_n even_o ab_fw-la origine_fw-la have_v deserve_o acquire_v a_o eminency_n in_o many_o respect_n above_o other_o of_o this_o kind_n so_o more_o especial_o for_o the_o pregnancy_n of_o its_o member_n in_o the_o compose_n of_o peal_n for_o when_o the_o art_n of_o cross-pricking_a lie_v envelop_v in_o such_o obscurity_n that_o it_o be_v think_v impossible_a that_o double_a change_n on_o five_o bell_n can_v be_v make_v to_o extend_v far_o than_o ten_o and_o triple_a and_o double_a change_n on_o six_o far_a than_o sixty_o then_o it_o be_v that_o a_o worthy_a and_o know_a member_n of_o your_o society_n to_o dissipate_v those_o mist_n of_o ignorance_n and_o to_o usher_v in_o the_o bright_a morn_n of_o knowledge_n prick_v those_o much_o applaud_a peal_n of_o grandsire_n and_o grandsire_n bob_n which_o for_o their_o excellency_n have_v for_o many_o year_n together_o continue_v triumphant_a in_o practice_n amid_o all_o other_o whatsoever_o and_o which_o indeed_o have_v be_v a_o great_a light_n in_o the_o production_n of_o that_o great_a variety_n of_o new_a peal_n herein_o contain_v the_o great_a part_n of_o which_o be_v also_o the_o offspring_n of_o your_o society_n i_o therefore_o think_v fit_a to_o usher_v they_o into_o the_o world_n under_o the_o wing_n of_o your_o protection_n gentleman_n as_o a_o member_n i_o hold_v myself_o oblige_v to_o add_v my_o mite_n to_o your_o full_a fraught_n treasury_n of_o speculative_a and_o practical_a knowledge_n of_o this_o kind_n though_o i_o confess_v your_o acquisition_n on_o this_o account_n will_v be_v very_o mean_a since_o my_o want_n of_o ability_n sufficient_a to_o undertake_v a_o thing_n of_o this_o nature_n and_o also_o want_v of_o opportunity_n by_o converse_n with_o other_o to_o supply_v my_o own_o defect_n have_v render_v the_o book_n less_o acceptable_a than_o it_o may_v have_v be_v do_v by_o some_o more_o know_a head_n and_o acuter_n pen._n and_o although_o i_o be_o conscious_a that_o it_o merit_v not_o your_o acceptance_n yet_o i_o assume_v the_o confidence_n to_o believe_v that_o you_o will_v favour_v it_o with_o a_o kind_a entertainment_n among_o you_o and_o the_o rather_o for_o that_o i_o know_v you_o be_v too_o judicious_a to_o sentence_v it_o without_o first_o cast_v into_o the_o balance_n of_o your_o indifferent_a judgement_n some_o grain_n of_o allowance_n the_o countenance_n you_o show_v it_o will_v silence_v detractor_n and_o be_v armour_n of_o proof_n against_o the_o fool_n bolt_n which_o may_v happen_v to_o be_v soon_o shoot_v at_o the_o author_n who_o be_v gentleman_n a_o constant_a wellwisher_n to_o the_o prosperity_n though_o a_o unworthy_a member_n of_o your_o society_n f._n s._n errata_fw-la courteous_a reader_n some_o few_o fault_n have_v escape_v the_o press_n as_o pag._n 27_o line_n the_o four_o for_o grateful_a read_v graceful_a page_n 31._o line_n the_o 19_o for_o imitatieg_n read_v imitate_v with_o some_o other_o which_o you_o be_v desire_v either_o candid_o to_o amend_v or_o tacit_o to_o pass_v over_o of_o the_o art_n of_o change_n these_o clear_a day_n of_o knowledge_n that_o have_v ransack_v the_o dark_a corner_n of_o most_o art_n and_o science_n and_o free_v their_o hide_a mystery_n from_o the_o bond_n of_o obscurity_n have_v also_o register_v this_o of_o ring_v in_o the_o catalogue_n of_o their_o improvement_n as_o well_o the_o speculative_a as_o the_o practic_n part_n which_o of_o late_a year_n remain_v in_o embryo_n be_v now_o become_v perfect_a and_o worthy_a the_o knowledge_n of_o the_o most_o ingenious_a although_o the_o practic_n part_n of_o ring_v be_v chief_o the_o subject_n of_o this_o discourse_n yet_o first_o i_o will_v speak_v something_o of_o the_o art_n of_o change_n its_o invention_n be_v mathematical_a and_o produce_v incredible_a effect_n as_o hereafter_o will_v appear_v but_o first_o i_o will_v premise_v a_o word_n or_o two_o to_o show_v what_o the_o nature_n of_o those_o change_n be_v some_o certain_a number_n of_o thing_n be_v presuppose_v to_o be_v change_v or_o vary_v as_o 2._o 3._o 4._o 5._o 6._o or_o any_o great_a number_n whatsoever_o then_o the_o number_n of_o thing_n to_o be_v so_o vary_v must_v have_v the_o like_a number_n of_o fix_a place_n assign_v they_o as_o if_o five_o man_n be_v sit_v upon_o five_o stool_n in_o a_o row_n the_o stool_n be_v suppose_v to_o be_v fix_v place_n for_o the_o five_o man_n but_o the_o man_n by_o consent_n may_v move_v or_o change_v to_o each_o other_o place_n at_o pleasure_n yet_o still_o sit_v in_o a_o row_n as_o at_o first_o now_o this_o art_n direct_v how_o and_o in_o what_o order_n those_o five_o man_n may_v change_v place_n with_o each_o other_o whereby_o they_o may_v sit_v sixscore_o time_n in_o a_o row_n and_o not_o twice_o alike_o and_o likewise_o a_o peal_n of_o five_o bell_n be_v raise_v up_o to_o a_o fit_a compass_n for_o ring_v of_o change_n be_v there_o suppose_v to_o have_v five_o fix_a place_n which_o time_n assign_v to_o their_o note_n or_o stroke_n yet_o the_o note_n of_o the_o bell_n may_v change_v into_o each_o other_o place_n at_o pleasure_n now_o this_o art_n also_o direct_v the_o manner_n and_o method_n of_o change_v the_o five_o note_n in_o such_o sort_n that_o they_o may_v strike_v sixscore_o time_n round_o and_o not_o twice_o alike_o the_o number_n of_o change_n be_v thus_o to_o be_v discover_v two_o mus_fw-la first_o be_v admit_v to_o be_v vary_v two_o way_n then_o to_o find_v out_o the_o change_n in_o three_o the_o change_n on_o two_o must_v be_v multiply_v by_o three_o and_o the_o product_n will_v be_v six_o which_o be_v the_o complete_a number_n of_o change_n on_o three_o those_o six_o change_n be_v multiply_v by_o four_o will_v produce_v 24_o which_o be_v the_o complete_a number_n of_o change_n on_o four_o the_o 24_o change_n on_o four_o be_v multiply_v by_o five_o will_v produce_v 120_o which_o be_v the_o complete_a number_n of_o change_n on_o five_o and_o in_o like_a manner_n the_o 120_o be_v multiply_v by_o six_o will_v produce_v 720_o which_o be_v the_o complete_a number_n on_o six_o the_o 720_o be_v multiply_v by_o seven_o will_v produce_v 5040_o which_o be_v the_o number_n of_o change_n on_o seven_o the_o 5040_o be_v multiply_v by_o eight_o will_v produce_v 40320_o which_o be_v the_o number_n of_o change_n on_o eight_o those_o change_n on_o eight_o be_v multiply_v by_o nine_o will_v produce_v 362880_o which_o be_v the_o number_n of_o change_n on_o nine_o those_o change_n on_o nine_o be_v multiply_v by_o ten_o will_v produce_v 3628800_o which_o be_v the_o number_n on_o ten_o those_o on_o ten_o be_v multiply_v by_o eleven_o will_v produce_v 39916800_o which_o be_v the_o number_n on_o eleven_o those_o also_o be_v multiply_v by_o twelve_o will_v produce_v 479001600_o which_o be_v the_o complete_a number_n of_o change_n on_o twelve_o and_o if_o twelve_o man_n shall_v attempt_v to_o ring_v all_o those_o change_n on_o twelve_o bell_n they_o can_v not_o effect_v it_o in_o less_o than_o seventy_o five_o year_n twelve_o lunar_a month_n one_o week_n and_o three_o day_n notwithstanding_o they_o ring_v without_o intermission_n and_o after_o the_o proportion_n of_o 720_o change_n every_o hour_n or_o if_o one_o man_n shall_v attempt_v to_o prick_v they_o down_o upon_o paper_n he_o can_v not_o effect_v it_o in_o less_o than_o the_o aforesaid_a space_n and_o 1440_o be_v prick_v in_o a_o sheet_n they_o will_v take_v up_o six_o hundred_o sixty_o five_o ream_n of_o paper_n and_o upward_o reckon_v five_o hundred_o sheet_n to_o a_o ream_n which_o paper_n at_o five_o shilling_n the_o ream_n will_v cost_v one_o hundred_o sixty_o six_o pound_n five_o shilling_n the_o reason_n of_o the_o aforesaid_a multiplication_n by_o which_o the_o number_n of_o change_n be_v discover_v and_o also_o that_o those_o product_n be_v the_o true_a number_n of_o change_n will_v plain_o and_o manifest_o appear_v in_o these_o follow_a demonstration_n but_o first_o two_o must_v be_v admit_v to_o be_v vary_v two_o way_n thus_o 21_o 12_o 21_o and_o then_o consequent_o three_o will_v make_v three_o time_n as_o many_o change_n as_o two_o for_o there_o be_v three_o time_n two_o figure_n to_o be_v produce_v out_o of_o three_o and_o not_o twice_o two_o the_o same_o figure_n which_o be_v to_o be_v produce_v by_o cast_v away_o each_o of_o
the_o three_o figure_n one_o after_o another_o first_o 321_o 123_o 213_o 132_o 312_o 231_o 321_o cast_z away_z 3_o and_o 1.2_o will_v remain_v cast_v away_o 2_o and_o 1.3_o will_v remain_v cast_v away_o 1_o and_o 2.3_o will_v remain_v so_o that_o here_o be_v three_o time_n two_o figure_n produce_v out_o of_o the_o three_o and_o not_o twice_o two_o the_o same_o figure_n as_o 12._o 13._o 23._o each_o two_o may_v be_v vary_v two_o way_n as_o before_z then_o to_o the_o change_n which_o each_o two_o make_v add_v the_o three_o figure_n which_o be_v want_v as_o to_o the_o two_o change_n make_v by_o 1.2_o add_v the_o 3_o to_o the_o change_n on_o 1.3_o add_v the_o 2_o and_o to_o the_o change_n on_o 2.3_o add_v the_o 1_o and_o the_o three_o figure_n will_v stand_v six_o time_n together_o and_o not_o twice_o alike_o as_o here_o appear_v four_o will_v make_v four_o time_n as_o many_o change_n as_o three_o 4321_o 1234_o 2134_o 1324_o 3124_o 2314_o 3214_o 1243_o 2143_o 1423_o 4123_o 2413_o 4213_o 1342_o 3142_o 1432_o 4132_o 3412_o 4312_o 2341_o 3241_o 2431_o 4231_o 3421_o 4321_o for_o there_o be_v four_o time_n three_o figure_n to_o be_v have_v out_o of_o four_o and_o not_o twice_o three_o the_o same_o figure_n which_o be_v to_o be_v produce_v by_o cast_v away_o each_o of_o the_o four_o figure_n by_o turn_n first_o cast_v away_o 4_o and_o 123_o will_v remain_v cast_v away_o 3_o and_o 124_o will_v remain_v cast_v away_o 2_o and_o 134_o will_v remain_v and_o last_o cast_v away_o 1_o and_o 234_o will_v remain_v so_o that_o here_o be_v 123_o 124_o 134_o 234_o and_o not_o twice_o three_o the_o same_o figure_n now_o each_o three_o may_v be_v vary_v six_o way_n according_a to_o the_o precede_a example_n then_o to_o the_o six_o change_n which_o each_o three_o make_v add_v the_o four_o figure_n which_o be_v want_v as_o to_o the_o six_o change_n on_o 123_o add_v the_o 4_o to_o the_o six_o change_n on_o 124_o add_v the_o 3_o to_o the_o six_o change_n on_o 134_o add_v the_o 2_o and_o to_o the_o six_o change_n on_o 234_o add_v the_o 1_o which_o render_v the_o change_n complete_a for_o then_o the_o four_o figure_n stand_v twenty_o four_o time_n together_o and_o not_o twice_o alike_o as_o here_o appear_v five_o will_v make_v five_o time_n as_o many_o change_n as_o four_o for_o there_o be_v five_o time_n four_o figure_n to_o be_v have_v out_o of_o five_o and_o not_o twice_o four_o the_o same_o figure_n which_o be_v to_o be_v produce_v as_o before_o by_o cast_v away_o each_o of_o the_o five_o figure_n by_o turn_n cast_v away_o 5_o and_o 1234_o will_v remain_v cast_v away_o 4_o and_o 1235_o will_v remain_v cast_v away_o 3_o and_o 1245_o will_v remain_v cast_v away_o 2_o and_o 1345_o will_v remain_v cast_v away_o 1_o and_o 2345_o will_v remain_v so_o that_o here_o be_v five_o time_n four_o figure_n produce_v and_o not_o twice_o four_o the_o same_o figure_n now_o each_o four_o maybe_o vary_v twenty_o four_o way_n as_o in_o the_o precede_a example_n then_o to_o the_o twenty_o four_o change_n which_o each_o four_o make_v add_v the_o five_o figure_n which_o be_v want_v as_o to_o the_o twenty_o four_o change_n on_o 1234_o add_v the_o 5_o to_o the_o twenty_o four_o change_n on_o 1235_o add_v the_o 4._o to_o the_o change_n on_o 1245_o add_v 3._o to_o the_o change_n on_o 1345_o add_v 2._o and_o to_o the_o change_n on_o 2345_o add_v 1._o which_o render_v the_o change_n complete_a for_o then_o the_o five_o figure_n stand_v sixscore_a time_n together_o and_o not_o twice_o alike_o 12345_o 21345_o 13245_o 31245_o 23145_o 32145_o 12435_o 21435_o 14235_o 41235_o 24135_o 42135_o 13425_o 31425_o 14325_o 41325_o 34125_o 43125_o 23415_o 32415_o 24315_o 42315_o 34215_o 43215_o 12354_o 21354_o 13254_o 31254_o 23154_o 32154_o 12534_o 21534_o 15234_o 51234_o 25134_o 52134_o 13524_o 31524_o 15324_o 51324_o 35124_o 53124_o 23514_o 32514_o 25314_o 52314_o 35214_o 53214_o 12453_o 21453_o 14253_o 41253_o 24153_o 42153_o 12543_o 21543_o 15243_o 51243_o 25143_o 52143_o 14523_o 41523_o 15423_o 51423_o 45123_o 54123_o 24513_o 42513_o 25413_o 52413_o 45213_o 54213_o 13452_o 31452_o 14352_o 41352_o 34152_o 43152_o 13542_o 31542_o 15342_o 51342_o 35142_o 53142_o 14532_o 41532_o 15432_o 51432_o 45132_o 54132_o 34512_o 43512_o 35412_o 53412_o 45312_o 54312_o 23451_o 32451_o 24351_o 42351_o 34251_o 43251_o 23541_o 32541_o 25341_o 52341_o 35241_o 53241_o 24531_o 42531_o 25431_o 52431_o 45231_o 54231_o 34521_o 43521_o 35421_o 53421_o 45321_o 54321_o and_o in_o this_o manner_n the_o complete_a number_n of_o change_n on_o six_o seven_o eight_o nine_o ten_o eleven_o twelve_o etc._n etc._n may_v also_o be_v demonstrate_v the_o number_n of_o change_n will_v also_o plain_o appear_v by_o the_o method_n whereby_o they_o be_v common_o prick_v and_o ring_v now_o the_o nature_n of_o these_o method_n be_v such_o that_o the_o change_n on_o one_o number_n comprehend_v the_o change_n on_o all_o lesser_a number_n and_o that_o so_o regular_o that_o the_o complete_a number_n of_o change_n on_o each_o lesser_a number_n be_v make_v in_o a_o most_o exact_a method_n within_o the_o great_a insomuch_o that_o a_o complete_a peal_n of_o change_n on_o one_o number_n seem_v to_o be_v form_v by_o unite_n of_o the_o complete_a peal_n on_o all_o lesser_a number_n into_o one_o entire_a body_n which_o will_v manifest_o appear_v in_o the_o 479001600_o change_n on_o twelve_o for_o that_o peal_n comprehend_v the_o 39916800_o change_n on_o eleven_o these_o likewise_o comprehend_v the_o 3628800_o change_n on_o ten_o these_o change_n on_o ten_o comprehend_v the_o 362880_o on_o nine_o these_o on_o nine_o comprehend_v the_o 40320_o on_o eight_o these_o on_o eight_o comprehend_v the_o 5040_o on_o seven_o these_o likewise_o the_o 720_o on_o six_o the_o 720_o also_o comprehend_v the_o 120_o on_o five_o the_o 120_o comprehend_v the_o 24_o change_n on_o four_o these_o also_o comprehend_v the_o six_o change_n on_o three_o and_o the_o six_o comprehend_v the_o two_o change_n on_o two_o each_o of_o these_o peal_n viz._n on_o eleven_o ten_o nine_o eight_o seven_o six_o five_o four_o three_o and_o two_o be_v make_v in_o a_o most_o exact_a method_n within_o the_o change_n on_o twelve_o for_o example_n two_o be_v first_o admit_v to_o be_v vary_v two_o way_n 21_o 12_o 21_o thus_o now_o the_o figure_n 3_o be_v hunt_v through_o each_o of_o those_o two_o change_n will_v produce_v the_o six_o change_n on_o three_o the_o term_n hunt_n be_v give_v to_o a_o bell_n to_o express_v its_o motion_n in_o ring_v which_o in_o figure_n be_v after_o this_o manner_n it_o must_v lie_v behind_o betwixt_o and_o before_o the_o two_o figure_n first_o behind_o they_o thus_o 1_o 2_o 3_o then_o betwixt_o they_o thus_o 1_o 3_o 2_o now_o before_o they_o thus_o 3_o 1_o 2_o this_o be_v call_v a_o hunt_a motion_n and_o here_o it_o have_v hunt_v through_o the_o first_o change_n of_o the_o two_o wherein_o it_o make_v three_o variation_n as_o appear_v in_o the_o figure_n stand_v thus_o in_o order_n 312_o 123_o 132_o 312_o now_o it_o must_v hunt_v through_o the_o other_o change_n which_o be_v 2_o 1_o in_o the_o same_o manner_n as_o before_o that_o be_v first_o it_o must_v lie_v before_o then_o betwixt_o the_o two_o figure_n then_o behind_o they_o thus_o 321_o 231_o 213._o here_o it_o have_v hunt_v through_o again_o 213_o 123_o 132_o 312_o 321_o 231_o 213_o wherein_o it_o make_v three_o more_o variation_n which_o three_o be_v set_v direct_o under_o the_o former_a the_o six_o variation_n will_v then_o plain_o appear_v as_o in_o these_o figure_n where_o the_o three_o figure_n stand_v six_o time_n together_o and_o not_o twice_o alike_o now_o the_o figure_n 4_o be_v in_o like_a manner_n hunt_v through_o each_o of_o those_o six_o change_n will_v produce_v the_o 24_o change_n on_o four_o first_o therefore_o it_o must_v hunt_v through_o the_o first_o which_o be_v 123_o letter_n 4123_o letter_n 1234_o 1243_o 1423_o 4123_o then_o through_o the_o second_o change_n of_o the_o six_o which_o be_v 132_o letter_n 1324_o letter_n 4132_o 1432_o 1342_o 1324_o then_o through_o the_o three_o which_o be_v 312_o letter_n 4312_o letter_n 3124_o 3142_o 3412_o 4312_o and_o so_o it_o be_v hunt_v through_o the_o rest_n of_o the_o change_n likewise_o will_v produce_v the_o twenty_o four_o change_n on_o four_o the_o figure_n 5_o be_v hunt_v through_o each_o of_o those_o twenty_o four_o change_n will_v produce_v the_o 120_o change_n on_o five_o first_o therefore_o it_o must_v hunt_v through_o the_o first_o which_o be_v 1234_o letter_n 51234_o letter_n 12345_o 12354_o 12534_o 15234_o 51234_o then_o through_o the_o second_o which_o be_v 1243_o letter_n 12435_o letter_n 51243_o 15243_o 12543_o 12453_o 12435_o then_o also_o through_o the_o three_o which_o be_v 1423_o letter_n 51423_o letter_n