Selected quad for the lemma: order_n

Word A Word B Word C Word D Occurrence Frequency Band MI MI Band Prominent
order_n day_n month_n year_n 2,428 5 5.3938 4 false
View all documents for the selected quad

Text snippets containing the quad

ID Title Author Corrected Date of Publication (TCP Date of Publication) STC Words Pages
A29756 The description and use of a joynt-rule fitted with lines for the finding the hour of the day and azimuth of the sun, to any particular latitude, or, to apply the same generally to any latitude : together with all the uses of Gunters quadrant applyed thereunto ... / contriv'd & written by J. Brown, philomath. Brown, John, philomath. 1661 (1661) Wing B5038; ESTC R33265 55,838 193

There are 2 snippets containing the selected quad. | View original text

the_o month_n and_o take_v 30_o degree_n from_o the_o scale_n of_o altitude_n and_o put_v one_o point_n in_o the_o line_n of_o hour_n till_o the_o other_o point_n turn_v about_o will_v but_o just_a touch_n the_o thread_n and_o i_o find_v it_o to_o 23_o minute_n past_o 7_o but_o if_o it_o have_v be_v in_o the_o afternoon_n it_o will_v have_v be_v 37_o minute_n past_o 4._o 2._o again_o on_o the_o ten_o of_o august_n in_o the_o afternoon_n at_o 20_o degree_n high_a i_o take_v 20_o degree_n from_o the_o scale_n of_o altude_n and_o lay_v the_o thread_n on_o the_o day_n of_o the_o month_n viz._n the_o ten_o aforesaid_a count_v from_o the_o name_n at_o the_o begin_n of_o august_n towards_o september_n and_o carry_v the_o compass_n in_o the_o line_n of_o hour_n till_o the_o other_o point_n do_v but_o just_a touch_n the_o thread_n and_o you_o shall_v find_v it_o to_o be_v 54_o minute_n past_o 4_o a_o clock_n 3._o again_o on_o the_o 11._o of_o december_n at_o 15_o degree_n high_a work_v as_o before_o and_o you_o shall_v find_v it_o to_o be_v just_a 12_o a_o clock_n but_o to_o work_v this_o you_o must_v lay_v the_o rule_n down_o on_o something_o and_o extend_v the_o thread_n beyond_o the_o rule_n for_o the_o nigh_a distance_n will_v happen_v on_o the_o outside_n of_o the_o rule_n 4._o again_o on_o the_o 11_o of_o june_n at_o noon_n i_o find_v the_o altitude_n to_o be_v 62_o degree_n high_a then_o lay_v the_o thread_n on_o the_o 10_o the_o or_o 11_o the_o of_o june_n for_o then_o a_o day_n be_v unsensible_a and_o work_v as_o before_o you_o shall_v find_v the_o point_n of_o the_o compass_n to_o stay_v at_o just_a 12_o a_o clock_n the_o time_n require_v for_o that_o altitude_n 4._o to_o find_v the_o sun_n rise_v any_o day_n in_o the_o year_n lay_v the_o thread_n on_o the_o day_n of_o the_o month_n and_o in_o the_o line_n of_o hour_n it_o show_v the_o true_a hour_n and_o minute_n of_o the_o sun_n rise_v or_o set_v for_o the_o rise_n count_v the_o morning_n hour_n and_o for_o the_o set_n count_v the_o evening_n hour_n 5._o to_o find_v if_o any_o place_n lie_v level_a or_o nor_o open_v the_o rule_n to_o his_o true_a angle_n of_o 60_o degree_n than_o set_v the_o movable_a leg_n upon_o the_o place_n you_o will_v make_v level_a and_o if_o the_o thread_n play_v just_a on_o 60_o degree_n it_o be_v a_o true_a level_a place_n or_o else_o not_o 6._o to_o try_v if_o any_o thing_n be_v upright_o or_o not_o hang_v a_o thread_n and_o plummet_n on_o the_o centre_n than_o ap_o the_o head_n leg_n of_o the_o rule_n to_o the_o wall_n or_o post_n and_o if_o it_o be_v upright_o the_o thread_n will_v play_v just_a on_o the_o innermost_a line_n of_o the_o scale_n of_o altitude_n or_o else_o not_o chap._n iii_o a_o further_a description_n of_o the_o rule_n to_o make_v it_o to_o show_v the_o sun_n azimuth_n declination_n true_a place_n right_a ascention_n and_o the_o hour_n of_o day_n or_o night_n in_o this_o or_o any_o other_o lattitude_n 1._o first_o in_o stead_n of_o the_o scale_n of_o altitude_n to_o 62_o degree_n there_o be_v one_o put_v to_o 90_o degree_n in_o that_o place_n and_o that_o of_o 62_o be_v put_v by_o in_o some_o other_o place_n where_o it_o may_v serve_v as_o well_o 2._o the_o line_n of_o hour_n have_v a_o double_a margin_n viz_o one_o for_o hour_n and_o the_o other_o for_o azimuth_n &_o then_o every_o 5_o the_o minute_n be_v more_o proper_o make_v 4_o or_o else_o every_o 2_o minute_n and_o in_o a_o large_a rule_n to_o every_o quarter_n of_o a_o degree_n of_o azimuth_n or_o to_o every_o single_a minute_n of_o time_n 3._o the_o degree_n ought_v to_o be_v reckon_v after_o 3_o manner_n of_o way_n first_o as_o before_o be_v express_v second_o from_o 60_o towards_o the_o end_n with_o 10_o 20_o 30_o 40_o 50_o 60_o etc._n etc._n to_o be_v so_o account_v in_o find_v the_o azimuch_o for_o a_o particular_a latitude_n and_o and_o three_o from_o the_o head_n or_o 90_o towards_o the_o end_n with_o 10_o 20_o 30_o 40_o 50_o 60_o 70_o 80_o etc._n etc._n for_o the_o general_a find_v of_o hour_n and_o azimuth_n in_o any_o latitude_n and_o many_o other_o problem_n of_o the_o sphere_n beside_o to_o which_o may_v be_v add_v where_o room_n will_v allow_v a_o line_n of_o hour_n begin_v at_o 6_o at_o the_o head_n and_o 12_o at_o the_o end_n but_o reckon_v 15_o degree_n for_o a_o hour_n and_o 4_o minute_n for_o every_o degree_n it_o may_v do_v as_o well_o without_o it_o 4._o to_o the_o calendar_n of_o month_n and_o day_n be_v add_v a_o line_n of_o the_o sun_n true_a place_n in_o the_o zodiac_n or_o where_o room_n fail_v the_o character_n of_o the_o twelve_o sign_n put_v on_o that_o day_n of_o the_o month_n the_o sun_n enter_v into_o it_o and_o count_v every_o day_n for_o a_o degree_n may_v indifferent_o serve_v for_o the_o use_v it_o be_v chief_o intend_v for_o 5._o under_o that_o be_v a_o line_n of_o the_o sun_n right_a ascension_n to_o hour_n and_o quarter_n at_o least_o or_o rather_o every_o five_o minute_n number_v thus_o 12_o and_o 24_o right_n under_o ♈_o and_o ♎_o or_o the_o ten_o of_o march_n and_o so_o forward_o to_o the_o ten_o of_o june_n or_o ♋_o where_o stand_v 6_o then_o backward_o to_o 12_o where_o you_o begin_v then_o backward_o still_o to_o the_o eleven_o of_o december_n with_o 13_o 14_o 15_o 16_o 17_o 18_o to_o ♑_o then_z from_o thence_o forward_o to_o 24_o where_o you_o first_o begin_v but_o when_o you_o be_v straighten_v for_o room_n as_o on_o most_o ordinary_a rule_n you_o will_v be_v than_o it_o may_v very_o well_o suffice_v to_o have_v a_o point_n or_o stroke_n show_v when_o the_o sun_n shall_v gradual_o get_v a_o hour_n of_o right_a ascension_n and_o from_o that_o for_o every_o day_n count_v four_o minute_n of_o time_n till_o it_o have_v increase_v to_o a_o hour_n more_o and_o this_o computation_n will_v serve_v very_o well_o and_o in_o stead_n of_o say_v 13_o 14_o 15_o hour_n of_o right_a ascension_n say_v 1_o 2_o 3_o etc._n etc._n which_o will_v perform_v the_o work_n as_o well_o and_o reduce_v the_o time_n to_o more_o proper_a term_n 6._o there_o be_v fit_v two_o line_n one_o contain_v 24_o hour_n and_o the_o other_o 29_o day_n and_o about_o 13_o hour_n and_o they_o serve_v to_o find_v the_o time_n of_o the_o moon_n come_v to_o the_o south_n before_o or_o after_o the_o sun_n and_o by_o that_o the_o time_n of_o high-water_n at_o london-bridge_n or_o any_o other_o place_n as_o be_v ordinary_a chap._n iu._n the_o use_v follow_v in_o order_n 1._o to_o find_v the_o sun_n declination_n lay_v the_o thread_n on_o the_o day_n of_o the_o month_n then_o in_o the_o line_n of_o degree_n you_o have_v the_o declination_n from_o march_v the_o ten_o towards_o the_o head_n be_v the_o declination_n northward_o the_o other_o way_n be_v southward_o as_o by_o the_o time_n of_o the_o year_n be_v discover_v example_n on_o the_o ten_o of_o april_n it_o be_v 11_o 48_o '_o toward_z the_o north_n but_o on_o the_o ten_o of_o october_n it_o be_v 10_o 30_o '_o toward_z the_o south_n 2._o as_o the_o thread_n be_v so_o lay_v on_o the_o day_n of_o the_o month_n in_o the_o line_n of_o the_o sun_n place_n it_o show_v that_o and_o in_o the_o line_n of_o the_o sun_n right_a ascension_n his_o right_a ascension_n also_o only_o you_o must_v give_v it_o its_o due_a order_n of_o reckon_n as_o thus_o it_o begin_v at_o ♈_o aries_n and_o so_o proceed_v to_o ♋_o then_z back_o again_o to_o ♑_o at_o the_o eleven_o of_o december_n then_o forward_o again_o to_o ♈_o aries_n where_o you_o begin_v 3._o to_o find_v the_o sun_n right_a ascension_n in_o hour_n and_o minute_n lay_v the_o thread_n as_o before_o on_o the_o day_n of_o the_o month_n and_o in_o the_o line_n of_o right_a ascension_n you_o have_v the_o hour_n and_o minute_n require_v compute_v right_o according_a to_o the_o time_n of_o the_o year_n that_o be_v begin_v at_o the_o ten_o of_o march_n or_o ♈_o aries_n and_o so_o reckon_v forward_o and_o backward_o as_o the_o month_n go_v example_n on_o the_o ten_o of_o april_n the_o sun_n place_n be_v 1_o degree_n in_o ♉_o taurus_n and_o the_o sun_n right_a ascension_n 1_o hour_n 55_o minute_n on_o the_o ten_o of_o october_n 27_o 1_o 4_o in_o ♎_o libra_n and_o his_o right_a ascension_n be_v 13_o hour_n and_o 42_o minute_n 4._o to_o find_v the_o sun_n amplitude_n at_o rise_v or_o set_v take_v the_o sun_n declination_n out_o of_o the_o particular_a scale_n of_o altitude_n and_o lay_v it_o the_o same_o way_n as_o the_o declination_n be_v from_o 90_o in_o the_o azimuth_n scale_n and_o it_o shall_v show_v
the_o contrary_a if_o you_o have_v a_o decimal_n fraction_n and_o will_v reduce_v it_o to_o a_o proper_a fraction_n the_o like_a may_v you_o do_v for_o shilling_n and_o penny_n and_o pound_n and_o ounce_n the_o use_n of_o the_o line_n follow_v as_o to_o the_o use_n of_o these_o line_n i_o shall_v in_o this_o place_n say_v but_o little_a and_o that_o for_o two_o reason_n first_o because_o this_o instrument_n be_v so_o contrive_v that_o the_o use_n be_v soon_o learn_v then_o any_o other_o i_o speak_v as_o to_o the_o manner_n and_o way_n of_o use_v it_o because_o by_o mean_n of_o first_o second_o and_o three_o radiuss_n in_o sin_n and_o tangent_n the_o work_n be_v always_o right_a on_o one_o way_n or_o other_o according_a to_o the_o canon_n whatsoever_o it_o be_v in_o any_o book_n that_o treat_v of_o the_o logarithm_n as_o gunter_n wells_n oughtred_a norwood_n or_o other_o as_o in_o oughtred_a from_o page_n 62_o to_o 107._o second_o and_o more_o especial_o because_o the_o more_o accurate_a and_o large_a handle_n thèreof_o be_v more_o than_o promise_v if_o not_o already_o perform_v by_o more_o able_a pen_n and_o a_o large_a manuscript_n thereof_o by_o my_o sire_n mean_n provide_v many_o year_n ago_o though_o to_o this_o day_n not_o extant_a in_o print_n so_o for_o his_o sake_n i_o claim_v my_o interest_n therein_o make_v bold_a to_o present_v you_o with_o these_o few_o line_n in_o order_n to_o the_o use_n of_o they_o and_o first_o no●e_n 1._o which_o soever_o of_o the_o two_o leg_n be_v set_v to_o the_o first_o term_n in_o the_o question_n that_o i_o call_v the_o first_o leg_n always_o and_o the_o other_o be_v set_v to_o the_o second_o term_n i_o call_v the_o second_o leg_n 2._o second_o if_o one_o be_v the_o first_o or_o second_o term_n then_o for_o the_o better_a set_v the_o index_n exact_o you_o may_v set_v it_o to_o 100_o for_o the_o error_n be_v like_a to_o be_v the_o least_o near_o the_o circumference_n 3._o three_o be_v sure_o you_o keep_v a_o true_a account_n of_o the_o number_n of_o turn_n between_o the_o first_o and_o second_o term_n 4._o four_o observe_v which_o way_n you_o move_v from_o the_o first_o to_o the_o second_o term_n to_o keep_v the_o like_a from_o the_o three_o to_o the_o four_o except_o in_o the_o back_n rule_n of_o three_o and_o in_o such_o case_n as_o the_o canon_n require_v the_o contrary_a 5._o five_o in_o multiplication_n one_o be_v always_o the_o first_o term_n and_o the_o multiplycator_n or_o multiplycand_v the_o second_o and_o the_o product_n always_o the_o four_o also_o note_v that_o in_o multiplycation_n the_o product_n of_o two_o number_n multiply_v shall_v be_v in_o as_o many_o place_n as_o both_o the_o multiplycator_n and_o multiplycand_v except_o the_o least_o of_o they_o be_v less_o than_o the_o two_o first_o figure_n of_o the_o product_n moreover_o for_o your_o more_o certain_a assinging_a of_o the_o two_o last_o figure_n of_o four_o or_o six_o which_o be_v as_o many_o as_o you_o can_v see_v on_o this_o instrument_n multiply_v the_o two_o last_o in_o your_o mind_n and_o the_o product_n shall_v be_v the_o figure_n as_o in_o page_n 28_o of_o the_o carpenter_n rule_n 6._o in_o division_n the_o multiplicator_n be_v always_o the_o first_o term_n and_o one_o the_o second_o the_o dividend_n the_o three_o and_o the_o quotient_a the_o four_o also_o the_o quotient_n shall_v have_v as_o many_o figure_n as_o the_o dividend_n have_v more_o than_o the_o divisor_n except_o the_o first_o figure_n of_o the_o divisor_n be_v great_a than_o the_o dividend_n than_o it_o shall_v have_v one_o less_o also_o note_n the_o fraction_n after_o division_n be_v a_o decimal_a fraction_n and_o to_o be_v reduce_v as_o before_o 7._o note_v careful_o whether_o the_o four_o proportional_a aught_o to_o be_v a_o great_a or_o a_o less_o and_o resolve_v according_o and_o note_n if_o one_o come_v between_o the_o three_o and_o four_o term_n then_o must_v the_o four_o be_v raise_v a_o radius_fw-la or_o a_o figure_n more_o and_o be_v careful_a to_o set_v the_o hair_n exact_o over_o the_o part_n represent_v the_o number_n or_o minute_n of_o any_o degree_n 8._o always_o in_o direct_a proportion_n and_o astronomical_a calculation_n set_v the_o first_o leg_n to_o the_o first_o term_n and_o the_o second_o leg_n to_o the_o second_o term_n and_o note_v how_o many_o circle_n be_v between_o than_o set_v the_o first_o leg_n to_o the_o three_o term_n and_o right_a under_o the_o second_o leg_n the_o same_o way_n and_o so_o many_o turn_n between_o the_o three_o and_o four_o be_v always_o the_o four_o term_v require_v example_n as_o 1_o to_o 47_o so_o be_v 240_o to_o 11280._o as_o the_o sine_fw-la of_o 90_o to_o 51_o degree_n 30_o minute_n so_o be_v the_o sine_fw-la of_o 80_o to_o 50._o 26._o and_o so_o of_o all_o other_o question_n according_a to_o their_o respective_a canon_n by_o the_o logarithm_n in_o other_o book_n as_o in_o mr._n oughtred_n circle_n of_o porportion_n from_o page_n 62_o to_o 107_o and_o other_o here_o follow_v the_o work_n of_o certain_a proposition_n by_o the_o serpentine-line_n those_o that_o i_o shall_v insert_v be_v only_o to_o show_v the_o manner_n of_o work_v and_o know_v of_o that_o once_o all_o the_o canon_n for_o all_o manner_n of_o question_n either_o in_o arithmetic_n geometry_n navigation_n or_o astronomy_n by_o any_o other_o author_n as_o mr._n gunter_n mr._n oughtred_a mr._n windgate_n mr._n norwood_n or_o other_o may_v be_v speedy_o resolve_v and_o as_o exact_o as_o by_o the_o table_n if_o the_o instrument_n be_v well_o and_o true_o make_v and_o first_o ●or_a the_o hour_n according_a to_o gunter_n prop._n 1._o have_v the_o latitude_n declination_n and_o the_o sun_n altitude_n to_o find_v the_o hour_n add_v the_o compliment_n of_o the_o altitude_n the_o compliment_n of_o the_o sun_n present_a altitude_n and_o the_o distance_n of_o the_o sun_n from_o the_o elevate_a pole_n together_o and_o nore_z their_o sum_n and_o half_a sum_n and_o find_v the_o difference_n between_o their_o half_a sum_n and_o the_o compliment_n of_o the_o sun_n present_a altitude_n then_o work_v thus_o for_o 36_o 42_o degree_n high_a at_o 23._o 32_o declination_n lat_fw-la 51._o 32._o lay_v the_o first_o leg_n viz._n that_o next_o your_o right_a hand_n be_v here_o most_o convenient_a on_o the_o sine_fw-la of_o 90_o keep_v that_o fix_a there_o lay_v the_o other_o leg_n to_o the_o cousin_n of_o the_o latitude_n viz._n 38._o 28._o and_o note_v the_o turn_v between_o which_o here_o be_v none_o between_o but_o it_o be_v find_v in_o the_o next_o over_o it_o than_o set_v the_o first_o leg_n to_o the_o sine_fw-la of_o 66_o 28_o the_o sun_n distance_n from_o the_o pole_n and_o in_o the_o circle_n just_a over_o it_o you_o shall_v have_v the_o sine_fw-la of_o 34._o 47._o for_o the_o four_o ark_n or_o sine_fw-la then_o in_o the_o second_o operation_n set_a the_o first_o or_o left_a leg_n to_o the_o sine_fw-la of_o 34._o 47._o of_o the_o four_o sine_fw-la last_o sound_v then_o keep_v that_o fix_a there_o set_v the_o other_o leg_n to_o the_o sine_fw-la of_o the_o half_a sum_n viz._n 79._o 37._o then_o remove_v the_o first_o leg_n to_o the_o sine_fw-la of_o the_o difference_n between_o the_o half_a sum_n and_o the_o coaltitude_n viz._n 25._o 49._o and_o then_o in_o the_o next_o circle_n the_o other_o leg_n shall_v show_v the_o sine_fw-la of_o 48._o 34._o who_o half_o distance_n towards_o 90_o be_v find_v by_o the_o scale_n of_o logarithm_n on_o the_o outermost_a circle_n will_v discover_v the_o sine_fw-la of_o a_o ark_n who_o compliment_n be_v double_v and_o turn_v into_o time_n by_o count_v 15_o degree_n to_o a_o hour_n will_v give_v the_o hour_n require_v but_o by_o help_n of_o the_o verse_v sin_n all_o this_o trouble_n be_v save_v for_o when_o the_o index_n or_o second_o leg_n cut_v the_o sine_fw-la of_o 48._o 34._o at_o the_o same_o instant_n it_o cut_v the_o verse_v sine_fw-la of_o 60_o the_o hour_n from_o noon_n require_v be_v 8_o in_o the_o morning_n or_o 4_o in_o the_o afternoon_n at_o 23._o 32._o of_o declination_n in_o the_o latitude_n of_o 51._o 32._o prop._n 2._o to_o work_v the_o same_o another_o way_n according_a to_o mr._n collins_n the_o latitude_n and_o declination_n give_v to_o find_v the_o sun_n height_n at_o 6_o a_o clock_n dec._n 23._o 31._o lat._n 51._o 32._o lay_v the_o left_a leg_n on_o the_o sine_fw-la of_o 90_o and_o the_o other_o to_o the_o sine_fw-la of_o 23._o 32_o and_o you_o shall_v find_v one_o turn_n between_o upward_o than_o the_o first_o leg_n lay_v on_o the_o sine_fw-la of_o the_o latitude_n 51_o 32_o the_o other_o leg_n shall_v show_v the_o sine_fw-la of_o 18._o 3._o in_o the_o second_o circle_n above_o 51_o 32._o for_o the_o sun_n height_n at_o 6_o require_v