Selected quad for the lemma: master_n

Word A	Word B	Word C	Word D	Occurrence	Frequency Band	MI	MI Band	Prominent
master_n	able_a	great_a	know_v	499	4	3.3321	3	false

Text snippets containing the quad

ID	Title	Author	Corrected Date of Publication (TCP Date of Publication)	STC	Words	Pages
A29742	An account of the rotula arithmetica invented by Mr. George Brown.	Brown, George, 1650-1730.; Dary, Michael. Dary's Miscellanies.; Cooke, Francis, fl. 1669. Principles of geometrie.; Georgius, Henisschius. Tables of the astronomical institutions.	1700 (1700)	Wing B5019; ESTC R4627	82,687	247

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subscribitur_fw-la gilb._n eliot_n cls._n sti._n cons_n to_o the_o reader_n courteous_a reader_n when_o first_o i_o apply_v my_o mind_n to_o publish_v somewhat_o concern_v my_o rotula_fw-la arithmetica_fw-la i_o design_v only_o without_o preface_n or_o apology_n to_o set_v down_o in_o the_o plain_a and_o most_o homely_a dress_n such_o rule_n as_o may_v render_v those_o who_o shall_v happen_v to_o have_v both_o a_o book_n and_o a_o rotula_n capable_a by_o the_o help_n of_o the_o one_o to_o make_v use_n of_o the_o other_o not_o doubt_v but_o that_o such_o a_o useful_a machine_n as_o it_o be_v will_v be_v very_o acceptable_a to_o all_o sort_n of_o person_n man_n that_o want_v arthemetick_n be_v by_o this_o mean_n in_o the_o space_n of_o four_o hour_n make_v capable_a to_o add_v subtract_v multiply_v and_o divide_v without_o any_o other_o previous_a knowledge_n than_o that_o of_o read_v figure_n though_o otherwise_o such_o person_n be_v not_o able_a ready_o to_o condescend_v whether_o 7_o 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invention_n of_o one_o delamain_n a_o english_a man_n who_o obtain_v from_o king_n charles_n i._o a_o privilege_n for_o his_o mathematical_a ring_n anno_fw-la 1630._o now_o this_o report_n as_o false_a as_o it_o be_v be_v at_o first_o no_o small_a prejudice_n against_o the_o rotula_n in_o the_o opinion_n of_o those_o who_o know_v no_o better_o and_o who_o have_v a_o great_a deference_n for_o the_o sentiment_n of_o those_o who_o be_v the_o raiser_n and_n spreader_n of_o this_o report_n and_o all_o i_o myself_o can_v say_v at_o first_o have_v never_o see_v delamain_n book_n nor_o instrument_n be_v that_o if_o the_o rotula_n have_v ever_o be_v know_v in_o the_o world_n before_o it_o have_v never_o be_v out_o of_o fashion_n but_o have_v very_o soon_o after_o publication_n become_v very_o near_o as_o common_a as_o a_o balance_n or_o a_o elln-wand_n every_o one_o who_o have_v any_o thing_n considerable_a to_o measure_n or_o weigh_v have_v likewise_o some_o account_n to_o cast_v but_o 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score_n of_o rashness_n for_o have_v they_o but_o be_v at_o the_o pain_n to_o compare_v both_o instrument_n together_o they_o may_v have_v easy_o perceive_v the_o difference_n to_o be_v as_o great_a as_o that_o betwixt_o a_o line_n of_o logarithme_n number_n and_o a_o scale_n of_o equal_a part_n and_o for_o this_o cause_n i_o think_v i_o may_v just_o charge_v they_o with_o injustice_n according_a to_o that_o know_a maxim_n qui_fw-la statuerit_fw-la aliquid_fw-la parte_fw-la inaudita_fw-la altera_fw-la licet_fw-la aequum_fw-la statuerit_fw-la haud_fw-la tamen_fw-la aequus_fw-la fuit_fw-la how_o reasonable_o then_o may_v the_o man_n be_v charge_v with_o injustice_n who_o pass_v not_o only_o a_o harsh_a but_o a_o unjust_a verdict_n and_o censure_n on_o a_o thing_n he_o have_v not_o be_v at_o the_o pain_n due_o to_o examine_v and_o consider_v but_o to_o proceed_v our_o worthy_a countryman_n the_o lord_n naper_n baron_n of_o merchistoun_n invent_v the_o logarithm-table_n and_o mr._n gunter_n a_o english_a man_n convert_v these_o table_n into_o a_o straight_o line_v scale_n after_o he_o mr._n delamain_n who_o be_v gunter_n scholar_n convert_v gunter_n scale_n into_o a_o double_a circle_n mere_o to_o ease_v man_n of_o compass_n but_o then_o his_o ring_n like_o gunter_n scale_n at_o that_o time_n do_v only_o consist_v of_o one_o line_n of_o number_n sin_n and_o tangent_n and_o as_o he_o never_o dream_v of_o perform_v addition_n or_o substraction_n by_o the_o help_n of_o his_o machine_n so_o he_o ingenous_o acknowledge_v that_o it_o be_v not_o capable_a to_o perform_v even_o division_n and_o multiplication_n to_o a_o arithmetical_a exactness_n but_o many_o time_n a_o man_n may_v come_v short_a of_o very_a near_o a_o unite_n nay_o he_o may_v have_v add_v that_o in_o number_n of_o many_o place_n a_o man_n may_v be_v some_o time_n to_o seek_v for_o unit_n and_o ten_o if_o not_o for_o hundred_o nay_o to_o render_v it_o more_o certain_a the_o author_n require_v that_o which_o he_o propose_v as_o a_o portable_a instrument_n to_o be_v make_v of_o several_a foot_n be_v or_o ellns_n diameter_n which_o will_v render_v it_o unweeldy_a and_o consequent_o less_o useful_a either_o by_o sea_n or_o land_n and_o it_o be_v not_o improbable_a that_o for_o these_o defect_n that_o instrument_n have_v be_v antiquate_v and_o have_v give_v place_n to_o the_o double_a scale_n of_o proportion_n now_o so_o much_o in_o use_n now_o the_o rotula_n perform_v all_o the_o four_o arithmetical_a operation_n arithmetical_o and_o to_o a_o arithmetical_a exactness_n not_o only_o of_o the_o integer_n but_o even_o of_o the_o decimall_n whither_o finite_a or_o infinite_a so_o that_o a_o man_n who_o can_v but_o work_v by_o the_o rotula_n may_v within_o a_o little_a time_n and_o practice_n learn_v to_o work_v by_o the_o pen_n if_o he_o shall_v chance_v to_o want_v his_o machine_n nay_o i_o believe_v when_o the_o rotula_n be_v once_o become_v common_a the_o mother_n may_v teach_v her_o child_n at_o home_n as_o much_o arithemetick_n as_o may_v serve_v they_o all_o their_o life_n i_o shall_v now_o close_v this_o tedious_a business_n of_o a_o preface_n but_o that_o i_o be_o oblige_v to_o give_v some_o account_n of_o mr._n glover_n and_o his_o invention_n call_v his_o ro●e_n ariehmetique_n this_o mr._n glover_n be_v a_o scotish_n gentleman_n who_o elder_a brother_n thomas_n who_o be_v this_o john_n master_n be_v my_o scholar_n about_o the_o year_n 74._o at_o which_o time_n he_o learn_v from_o i_o that_o skill_n in_o number_n and_o other_o thing_n which_o he_o afterward_o teach_v this_o gentleman_n and_o by_o which_o both_o of_o they_o have_v since_o become_v famous_a abroad_o now_o though_o this_o invention_n of_o john_n glover_n be_v posterior_n to_o my_o rotula_n as_o appear_v by_o the_o date_n of_o his_o privilege_n grant_v by_o his_o majesty_n of_o france_n which_o be_v of_o the_o 13._o of_o march_n 1699._o

to_o do_v if_o you_o be_v divide_v by_o the_o pen._n to_o this_o purpose_n you_o may_v provide_v your_o self_n at_o first_o with_o a_o label_n of_o cart_n or_o paper_n write_v on_o the_o right_a edge_n of_o it_o the_o figure_n beginning_n at_o 0_o 1_o 2_o and_o end_v at_o 9_o 9_o prefix_n 0_o 1_o 2_o 3_o 4_o 5_o 6_o 7_o 8_o 9_o this_o we_o call_v the_o label_n of_o prefix_n as_o you_o have_v it_o in_o the_o margin_n now_o suppose_v the_o follow_a example_n be_v propose_v have_v first_o rectify_v the_o rotula_n &_o with_o a_o point_n determine_v the_o first_o dividual_a proceed_v after_o this_o manner_n first_o i_o bring_v 15_o the_o foremost_a two_o of_o the_o first_o dividual_a on_o the_o movable_a with_o a_o little_a peg_n to_o stay_v there_o till_o i_o have_v find_v my_o quotient_n to_o the_o first_o cell_n in_o which_o 1_o the_o foremost_a figure_n of_o my_o divisor_n be_v a_o coessicient_a and_o there_o i_o have_v in_o the_o same_o cell_n 9_o for_o a_o quotient_a and_o at_o the_o 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with_o my_o peg_n bring_v up_o 7×6_n on_o the_o movable_a to_o the_o stop_n and_o search_v for_o a_o number_n on_o the_o movable_a have_v 6_o unite_v i_o find_v the_o first_o that_o occur_v to_o be_v 46_o by_o which_o i_o understand_v that_o i_o be_o to_o carry_v 4_o to_o wit_n the_o ten_o of_o 46_o &_o because_o i_o have_v 4_o on_o the_o fix_a against_o 46_o on_o the_o movable_a i_o understand_v that_o i_o must_v set_v down_o 4_o as_o a_o remainder_n under_o 6_o the_o last_o figure_n of_o my_o dividual_a and_o so_o turn_v back_o the_o rotula_n till_o 4_o on_o the_o movable_n appear_v against_o 0_o at_o the_o stop_n i_o thereafter_o write_v down_o 4_o below_o the_o 6_o of_o my_o first_o dividual_a then_o i_o bring_v up_o to_o the_o stop_n that_o point_v of_o the_o movable_a which_o be_v direct_o against_o 7×8_n of_o my_o divisor_n and_o look_v as_o before_o for_o 3_o unite_v i_o find_v 6_o ten_o to_o carry_z and_z 3_o on_o the_o fix_v to_o set_v down_o these_o carry_v and_o set_v down_o as_o become_v i_o next_o bring_v up_o 7×9_n of_o my_o divisor_n &_o at_z 0_o unite_v on_o the_o movable_a i_o have_v to_o carry_v 7_o ten_o and_o on_o the_o fix_v 1_o to_o set_v down_o under_o 0_o of_o my_o dividual_a of_o these_o the_o 7_o carry_v and_o the_o 1_o set_v down_o in_o the_o last_o place_n i_o bring_v up_o 7×1_n of_o 〈◊〉_d divisor_n to_o the_o stop_n and_o on_o the_o fix_a i●●ve_n ●●ve_z 1_o against_o 15_o the_o foremost_a two_o of_o the_o dividual_a for_o my_o remainder_n 〈◊〉_d 1_o i_o set_v under_o 5_o the_o unite_v of_o the_o 〈◊〉_d ●nd_v so_o have_v finish_v the_o first_o subduction_n i_o rectify_v and_o bring_v down_o 9_o of_o the_o dividend_n to_o the_o right_n of_o the_o first_o remainder_n for_o a_o second_o dividual_a if_o you_o comprehend_v what_o i_o have_v say_v on_o the_o first_o you_o may_v easy_o and_o after_o the_o same_o manner_n go_v through_o with_o the_o other_o there_o dividual_n and_o so_o perform_v the_o whole_a business_n yourself_o if_o the_o practitioner_n curious_o observe_v the_o several_a operationes_fw-la by_o the_o rotula_n he_o will_v discover_v they_o to_o be_v so_o natural_a that_o with_o a_o carrefull_a practice_n he_o may_v come_v to_o such_o a_o habit_n as_o will_v render_v he_o capable_a to_o do_v his_o business_n with_o the_o pen_n when_o he_o want_v his_o rotula_n though_o i_o must_v confess_v that_o the_o able_a master_n be_v not_o capable_a without_o it_o to_o do_v any_o considerable_a business_n with_o that_o dispatch_v certainty_n and_o exactness_n and_o with_o so_o little_a trouble_n to_o the_o head_n as_o by_o the_o help_n of_o the_o rotula_n they_o may_v perform_v with_o the_o great_a ease_n if_o any_o difficulty_n occur_v in_o what_o have_v be_v hitherto_o deliver_v such_o as_o have_v the_o opportunity_n shall_v not_o want_v what_o help_v i_o can_v afford_v they_o but_o because_o in_o what_o follow_v a_o previous_a knowledge_n in_o decimal_a fraction_n be_v suppose_v if_o such_o as_o want_v that_o find_v any_o difficulty_n they_o must_v be_v at_o the_o pain_n or_o use_v a_o master_n as_o they_o find_v most_o convenient_a for_o the_o attainment_n of_o that_o knowledge_n before_o they_o make_v any_o further_a or_o considerable_a progress_n chap._n vi_o concern_v complex_n number_n i_o call_v those_o number_n complex_n that_o consist_v of_o intiger_n and_o fraction_n or_o small_a denomination_n such_o as_o lib._n sh_z d._n or_o stone_n lib._n of_o weight_n and_o ounce_n chalder_n bolls_n and_o peck_v etc._n etc._n elnes_n half_a quarter_n or_o eight_o part_n etc._n etc._n if_o instead_o of_o these_o fraction_n or_o denomination_n you_o annex_v the_o decimal_n to_o the_o right_n of_o the_o proper_a integer_fw-la distinguish_v betwixt_o they_o with_o this_o mark_n 〈◊〉_d call_v a_o decimal_n line_n you_o may_v multiply_v or_o divide_v as_o if_o the_o whole_a number_n represent_v by_o all_o they_o figure_n be_v a_o integer_fw-la in_o add_v decimal_n you_o must_v take_v care_n that_o those_o figure_n next_o the_o decimal_n line_n make_v one_o column_n &_o the_o rest_n in_o order_n thus_o be_v i_o to_o join_v the_o decimal_n of_o 7sh_n which_o be_v to_o the_o decimal_n of_o 9d_o which_o be_v i_o must_v state_n they_o thus_o and_o so_o the_o decimal_n of_o 7sh_n 9d_o be_v observe_v that_o the_o decimal_n for_o penny_n and_o farthing_n where_o the_o last_o figure_n be_v ●_o or_o ●_o as_o also_o those_o for_o three_o part_n or_o six_o part_n who_o last_a figure_n be_v likeways_o ●_o or_o ●_o be_v all_o infinite_n thus_o the_o decimal_n of_o one_o d._n be_v the_o last_o figure_n of_o which_o may_v be_v reiterated_a in_o infinitum_fw-la or_o as_o oft_o as_o the_o rule_n of_o operation_n do_v require_v for_o which_o i_o refer_v you_o to_o my_o compendious_a but_o complete_a system_fw-la of_o decimal_a arithmetic_n but_o least_o that_o shall_v not_o come_v to_o your_o hand_n i_o shall_v here_o subjoin_v a_o few_o rule_n first_o you_o must_v not_o limit_v infinite_n short_a of_o decimal_n three_o 2_o you_o must_v not_o limit_v infinite_n unless_o they_o contain_v one_o of_o the_o reiterated_a figure_n thus_o because_o the_o decimal_n of_o 4d_o be_v etc._n etc._n i_o may_v upon_o occasion_n satisfy_v myself_o with_o and_o 8d_n be_v can_o satisfy_v myself_o with_o but_o as_o also_o the_o decimal_n for_o one_o penny_n be_v etc._n etc._n i_o can_v satisfy_v myself_o with_o no_o less_o than_o 3_o infinite_n in_o addition_n and_o substraction_n must_v exceed_v the_o long_a finite_a at_o least_o by_o one_o step_n towards_o the_o right_a hand_n thus_o be_v i_o to_o join_v one_o penny_n viz._n to_o three_o