Selected quad for the lemma: day_n

Word A	Word B	Word C	Word D	Occurrence	Frequency Band	MI	MI Band	Prominent
day_n	degree_n	hour_n	minute_n	23,734	5	12.6443	5	true

Text snippets containing the quad

ID	Title	Author	Corrected Date of Publication (TCP Date of Publication)	STC	Words	Pages
A40031	Elliptical or azimuthal horologiography comprehending severall wayes of describing dials upon all kindes of superficies, either plain or curved, and unto upright stiles in whatsoever position they shall be placed / invented and demonstrated by Samuel Foster ...	Foster, Samuel, d. 1652.; Twysden, John, 1607-1688.; Wingate, Edmund, 1596-1656.	1654 (1654)	Wing F1632; ESTC R7034	96,404	198

have_v the_o view_n of_o this_o first_o draught_n of_o precept_n these_o rule_n here_o give_v may_v seem_v to_o be_v stuff_v with_o many_o impertinency_n and_o some_o need_v less_o difficulty_n which_o the_o author_n acknowledge_v willing_o and_o excuse_v by_o reason_n that_o they_o be_v his_o first_o med●tat●ons_n in_o th●s_n kind_n and_o so_o much_o the_o more_o undigested_a by_o how_o much_o the_o less_o practice_n have_v be_v by_o he_o use_v therein_o the_o truth_n be_v he_o never_o describe_v any_o thing_n suitable_a to_o the_o case_n of_o these_o two_o last_o section_n and_o if_o the_o reader_n be_v any_o way_n able_a to_o discern_v what_o it_o be_v to_o write_v upon_o a_o mathematical_a subject_n wherein_o have_v precede_v no_o real_a representation_n he_o will_v not_o only_o excuse_v difficulty_n and_o impert●nencies_n in_o the_o tradition_n but_o will_v wonder_v if_o there_o be_v not_o some_o miscarriage_n in_o point_n of_o truth_n of_o which_o notwithstanding_o the_o author_n be_v confident_a this_o treatise_n be_v clear_a s._n foster_n 15._o have_v place_v a_o dial_n plate_n to_o move_v let_v the_o coast_n of_o the_o motion_n be_v casual_a how_o to_o fit_v a_o steadfast_a index_n to_o it_o and_o to_o describe_v a_o ellipticall_a dial_n upon_o the_o say_v move_v plain_a this_o case_n be_v forget_v before_o but_o now_o here_o supply_v you_o must_v observe_v the_o line_n upon_o the_o immovable_a plate_n which_o the_o midst_n of_o the_o move_a plate_n do_v describe_v and_o suppose_v that_o line_n to_o be_v the_o proper_a meridian_n then_o from_o some_o convenient_a point_n of_o that_o proper_a meridian_n raise_v a_o true_a axis_n project_n the_o axis_n upon_o the_o proper_a meridian_n and_o from_o any_o point_n of_o the_o say_a meridian_n raise_v a_o thread_n or_o index_n any_o where_o only_o so_o as_o that_o both_o this_o thread_n the_o axis_n and_o the_o proper_a meridian_n may_v all_o three_o appear_v in_o one_o line_n there_o six_o the_o thread_n and_o 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a_o circle_n equal_o divide_v to_o show_v the_o hour_n of_o the_o day_n and_o azimuth_n of_o the_o sun_n invent_v and_o write_v by_o mr._n samvel_n foster_n late_a professor_n of_o astronomy_n in_o gresham-colledge_n london_n print_v for_o nicholas_n bourn_n 1654._o circular_a horologiography_n how_o to_o make_v a_o horizontall_a dial_n in_o a_o circle_n equal_o divide_v to_o show_v the_o hour_n of_o the_o day_n and_o azimuth_n of_o the_o sun_n here_o before_o we_o have_v have_v elliptical_a horologiography_n now_o shall_v follow_v circular_a horologiography_n which_o show_v how_o to_o make_v a_o dial_n in_o a_o perfect_a circle_n equal_o divide_v into_o hour_n whereby_o to_o find_v the_o hour_n upon_o any_o plain_n whatsoever_o divide_v a_o circle_n into_o 24_o equal_a part_n and_o take_v so_o many_o of_o they_o as_o your_o horizon_n have_v hour_n in_o the_o long_a day_n or_o rather_o so_o many_o as_o the_o degree_n of_o your_o great_a amplitude_n east_n and_o west_n from_o the_o 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it_o must_v move_v to_o and_o fro_o direct_o over_o the_o line_n of_o 12._o or_o else_o the_o hour_n must_v move_v to_o and_o from_o it_o according_a to_o the_o line_n of_o 12_o so_o as_o that_o the_o same_o line_n may_v always_o lie_v under_o the_o foot_n of_o the_o say_a index_n the_o motion_n of_o the_o one_o or_o the_o other_o be_v necessary_a because_o else_o the_o circle_n of_o equal_a part_n can_v never_o show_v the_o true_a hour_n all_o the_o year_n long_o how_o the_o zodiac_n be_v to_o be_v limit_v and_o lay_v and_o character_v the_o motion_n of_o the_o index_n must_v be_v regulate_v by_o the_o zodiac_n the_o zodiac_n therefore_o must_v lie_v either_o in_o or_o else_o parallel_v to_o the_o meridian_n line_n the_o length_n of_o it_o be_v thus_o to_o be_v limit_v count_n the_o semidiameter_n of_o your_o circle_n viz._n a_o b_o for_o the_o radius_fw-la to_o that_o radius_fw-la either_o 1._o make_v the_o sine_fw-la of_o 70¾_n take_v to_o the_o radius_fw-la of_o your_o circle_n a_o tangent_fw-la of_o 70¾_n and_o to_o the_o radius_fw-la of_o that_o tangent_fw-la find_v the_o secant_fw-la of_o 19¼_n the_o compliment_n of_o 70¾_n that_o length_n shall_v be_v the_o radius_fw-la of_o the_o degree_n or_o the_o decimall_n of_o the_o tangent_n of_o the_o zodiac_n to_o be_v insert_v by_o the_o table_n pag._n 4_o 5_o 6_o and_o 7._o 2._o or_o else_o make_v the_o sine_fw-la of_o 19¼_n estimate_v to_o the_o semidiameter_n of_o the_o circle_n a_o b_o as_o radius_fw-la a_fw-la radius_fw-la and_o to_o that_o radius_fw-la find_v the_o secant_fw-la of_o 19_o 1_o this_o last_o length_n or_o secant_fw-la shall_v be_v the_o quantity_n of_o the_o tangent_fw-la of_o 45_o gr_n or_o of_o the_o decimall_n scale_n by_o which_o the_o number_n pag._n 4_o 5_o etc._n etc._n be_v to_o be_v insert_v and_o in_o these_o northern_a orison_n ♋_o and_o ♈_o must_v be_v place_v so_o that_o 12_o may_v be_v near_o to_o the_o index_n in_o summer_n and_o further_a off_o in_o winter_n the_o manner_n how_o to_o fashion_v the_o cock_n which_o hold_v the_o index_n the_o fashion_n may_v be_v see_v by_o the_o figure_n a_o c_o d._n at_o a_o be_v the_o place_n of_o the_o fiducial_a point_n of_o the_o foot_n of_o the_o index_n to_o be_v assign_v and_o in_o that_o point_n a_o hole_n must_v be_v pierce_v and_o a_o thread_n fix_v then_o the_o cock_n must_v have_v two_o hole_n more_o pierce_v one_o at_o c_o the_o other_o at_o d_o both_o to_o stand_v perpendicular_o over_o the_o line_n of_o 12._o that_o at_o c_o must_v be_v so_o place_v that_o the_o angle_n c_o a_o b_o may_v be_v 70¾_n gr_n that_o at_o d_o must_v be_v place_v so_o that_o d_o a_o b_o may_v be_v a_o angle_n of_o 90_o gr_n how_o to_o place_v this_o dial_n for_o use_v you_o must_v either_o fix_v your_o dial_n plate_n in_o the_o meridian_n line_n and_o true_o horizontall_a or_o else_o upon_o a_o horizontall_a or_o level_v flat_a you_o must_v draw_v a_o meridan_n line_n whereby_o to_o place_v it_o upon_o any_o occasion_n then_o to_o find_v the_o hour_n make_v use_n of_o the_o index_n a_o c_o and_o rectify_v the_o foot_n of_o the_o index_n to_o the_o requisite_a place_n in_o the_o zodiac_n either_o to_o the_o day_n of_o the_o month_n or_o the_o degree_n of_o the_o sign_n when_o it_o be_v thus_o rectify_v and_o set_v the_o shadow_n of_o the_o thread_n a_o c_o will_v show_v the_o hour_n of_o the_o day_n to_o find_v the_o azimuth_n put_v the_o thread_n from_o a_o to_o d_o and_o let_v a_o d_o be_v your_o index_n then_o always_o place_v the_o foot_n of_o the_o thread_n in_o the_o centre_n of_o the_o circle_n at_o a_o so_o shall_v the_o thread_n a_o d_o give_v the_o azimuth_n ¶_o note_v that_o the_o scale_n of_o declination_n amplitude_n ascensionall_a

 _fw-fr 44_o 26_o 29_o 36_o  _fw-fr  _fw-fr 48_o 15_o 27_o 54_o  _fw-fr ix_o 51_o 57_o 26_o 7_o iii_o  _fw-fr 55_o 32_o 24_o 14_o  _fw-fr  _fw-fr 59_o 1_o 22_o 16_o  _fw-fr  _fw-fr 62_o 24_o 20_o 14_o  _fw-fr viii_o 65_o 41_o 18_o 8_o iu._n  _fw-fr 68_o 54_o 15_o 59_o  _fw-fr  _fw-fr 72_o 2_o 13_o 47_o  _fw-fr  _fw-fr 75_o 7_o 11_o 33_o  _fw-fr vii_o 78_o 9_o 9_o 17_o v._o  _fw-fr 81_o 9_o 6_o 59_o  _fw-fr  _fw-fr 84_o 7_o 4_o 39_o  _fw-fr  _fw-fr 87_o 4_o 2_o 20_o  _fw-fr vi_o 90_o 0_o 0_o 0_o vi_o for_o this_o purpose_n here_o be_v two_o table_n join_v together_o both_o of_o they_o make_v for_o the_o latitude_n of_o london_n 51_o gr_n 30_o min._n the_o like_a to_o which_o every_o man_n may_v calculate_v for_o his_o own_o place_n the_o first_o of_o they_o be_v a_o table_n of_o such_o angle_n as_o be_v make_v by_o the_o hour_n line_n come_v through_o the_o centre_n of_o the_o ellipsis_n with_o the_o meridian_n line_n or_o line_n of_o 12._o and_o it_o be_v make_v by_o that_o rule_n 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any_o lean_v not_o upright_o plain_v whatsoever_o but_o the_o index_n must_v then_o lie_v in_o the_o zenith_n line_n of_o the_o place_n not_o of_o the_o plain_a and_o the_o ellipsis_n or_o index_n must_v move_v in_o the_o meridian_n of_o the_o place_n not_o of_o the_o plain_a and_o the_o zodiac_n must_v be_v like_a or_o proportional_a to_o the_o zodiac_n of_o the_o horizon_n but_o augment_v for_o the_o most_o part_n in_o this_o proportion_n as_o the_o radius_fw-la to_o the_o secant_fw-la of_o that_o angle_n that_o the_o meridian_n line_n upon_o the_o plain_a make_v with_o the_o horizon_n which_o angle_n must_v be_v get_v by_o a_o clinatorie_n so_o the_o radius_fw-la of_o the_o horizontal_n zodiac_n which_o be_v the_o cousin_a of_o the_o latitude_n to_o the_o radius_fw-la of_o the_o zodiac_n proper_a to_o the_o plain_a which_o zodiac_n must_v be_v set_v according_a to_o the_o line_n of_o 12_o upon_o the_o plain_a 2._o this_o way_n of_o delineation_n may_v likewise_o be_v apply_v to_o all_o other_o plain_n which_o decline_v and_o be_v not_o direct_v but_o in_o these_o will_v be_v find_v more_o difficulty_n then_o in_o the_o former_a plain_n which_o decline_v not_o unless_o it_o be_v require_v to_o put_v in_o the_o hour_n that_o be_v proper_a to_o the_o plain_a for_o in_o that_o case_n the_o work_n be_v the_o same_o which_o be_v in_o they_o but_o if_o the_o hour_n of_o the_o place_n be_v to_o be_v inscribe_v as_o most_o usual_o they_o be_v than_o there_o will_v be_v some_o trouble_n by_o reason_n that_o the_o difference_n of_o the_o plain_n longitude_n seldom_o fall_v upon_o any_o just_a hour_n i_o purpose_v not_o here_o to_o show_v the_o way_n it_o be_v such_o as_o will_v prove_v un-pleasant_a to_o the_o unskilful_a and_o such_o as_o have_v knowledge_n will_v find_v it_o out_o quick_o perhaps_o the_o pleasure_n of_o the_o thing_n do_v will_v recompense_v their_o labour_n sect_n iv._o here_o follow_v some_o use_v and_o variety_n of_o this_o ellipticall_a dial_n 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it_o will_v not_o set_v itself_o and_o must_v there_o be_v fix_v if_o it_o be_v upon_o a_o horizontall_a or_o any_o direct_a plain_n you_o may_v draw_v a_o meridian_n line_n thereon_o and_o either_o draw_v the_o azimuth_n true_a upon_o it_o and_o so_o make_v the_o ellipsis_n to_o move_v to_o and_o fro_o according_a to_o that_o meridian_n or_o else_o if_o both_o your_o plate_n be_v to_o be_v fix_v upon_o any_o base_a prepare_v for_o they_o you_o may_v first_o upon_o that_o base_a draw_v a_o true_a meridian_n line_n and_o to_o that_o line_n make_v the_o meridian_n of_o the_o dial_n to_o agree_v the_o like_a must_v

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circle_n for_o the_o concourse_n of_o these_o answerable_a line_n be_v the_o point_n here_o require_v that_o be_v those_o be_v the_o point_n which_o show_v both_o where_o the_o ellipsis_n be_v to_o be_v draw_v and_o also_o where_o it_o be_v to_o be_v divide_v into_o its_o requisite_a part_n thus_o in_o the_o precedent_a figure_n m_n o_o and_o h_n o_o meet_v in_o the_o point_n o_o 10_o l_o and_o i_o l_o meet_v in_o the_o point_n l_o 6_o n_o and_o k_n n_o meet_v in_o the_o point_n n_o and_o so_o the_o rest_n will_v meet_v in_o their_o due_a place_n these_o point_n show_v the_o way_n where_o through_o the_o ellipsis_n be_v to_o be_v draw_v and_o the_o same_o point_n show_v where_o the_o hour_n be_v to_o be_v mark_v out_o the_o like_a may_v be_v do_v for_o quarter_n and_o half_a quarter_n of_o hour_n or_o any_o other_o division_n that_o shall_v be_v best_o like_v of_o there_o be_v many_o other_o way_n to_o do_v the_o same_o thing_n but_o i_o suppose_v this_o to_o be_v most_o expedient_a note_v that_o 1._o the_o index_n in_o these_o elliptical_a dial_n must_v stand_v perpendicular_o upright_a upon_o the_o plain_a make_v right_a angle_n with_o it_o every_o way_n as_o it_o be_v order_v to_o do_v upon_o the_o former_a sort_n of_o direct_a plain_n 2._o the_o annual_a course_n of_o the_o sun_n must_v be_v limit_v as_o former_o in_o the_o other_o plain_n that_o be_v make_v the_o great_a semidiameter_n as_o a_o badius_n you_o must_v find_v the_o cousin_a of_o the_o pole_n elevation_n above_o the_o plain_a this_o cousin_a be_v to_o be_v make_v either_o as_o a_o tangent_fw-la of_o 45_o gr_n whereof_o you_o be_v only_o to_o use_v 23½_n or_o else_o it_o be_v to_o be_v make_v a_o decimal_n scale_n by_o both_o these_o you_o have_v table_n and_o rule_n how_o to_o complete_a the_o sun_n annual_a course_n either_o in_o degree_n of_o the_o sign_n in_o the_o zodiac_n or_o by_o the_o day_n of_o the_o 12_o month_n 3._o either_o the_o index_n must_v move_v and_o the_o ellipsis_n lie_v still_o or_o contrary_o every_o man_n in_o this_o must_v do_v as_o his_o invention_n shall_v best_o suggest_v and_o that_o motion_n must_v be_v make_v either_o upon_o the_o substylar_a line_n or_o else_o parallel_v to_o it_o which_o way_n soever_o it_o be_v it_o must_v be_v precise_o and_o punctual_o order_v 4._o all_o other_o thing_n concern_v the_o time_n of_o sun_n rise_v and_o set_v the_o sun_n amplitude_n and_o declination_n may_v here_o in_o the_o same_o manner_n as_o before_o be_v insert_v either_o proper_a to_o the_o plain_a or_o proper_a to_o the_o place_n as_o shall_v be_v desire_v 5._o in_o right_a orison_n or_o polar_a plain_n the_o ellipsis_n close_v quite_o up_o into_o a_o straight_a line_n and_o so_o the_o division_n of_o it_o be_v only_o by_o the_o exterior_a circle_n part_v project_v upon_o it_o by_o those_o line_n that_o be_v draw_v parallel_n to_o the_o substylar_n thus_o far_o of_o the_o elliptical_a dial_n as_o it_o be_v to_o be_v describe_v upon_o decline_a plain_n who_o index_n stand_v perpendicular_a to_o the_o plain_n and_o which_o do_v not_o lie_v under_o the_o meridian_n of_o the_o place_n but_o swerve_v from_o it_o sect_n iii_o another_o way_n to_o prick_v down_o the_o ellipsis_n upon_o a_o horizontal_n plain_n latitude_n 51_o gr_n 30_o min._n hor_n ang._n altit_fw-la hor_n xii_o 00_o ●0_n 38_o 30_o xii_o  _fw-fr 04_o 47_o 38_o 24_o  _fw-fr  _fw-fr 09_o 33_o 38_o 7_o  _fw-fr  _fw-fr 14_o 16_o 37_o 38_o  _fw-fr xi_o 18_o 54_o 36_o 58_o i._n  _fw-fr 23_o 27_o 36_o 7_o  _fw-fr  _fw-fr 27_o 53_o 35_o 7_o  _fw-fr  _fw-fr 32_o 13_o 33_o 56_o  _fw-fr x._o 36_o 25_o 32_o 37_o ii_o  _fw-fr 40_o 29_o 31_o 10_o  _fw-fr