Selected quad for the lemma: day_n

Word A Word B Word C Word D Occurrence Frequency Band MI MI Band Prominent
day_n east_n hour_n minute_n 4,917 5 12.2222 5 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
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

There is 1 snippet containing the selected quad. | View original text

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 then_o find_v the_o longitude_n and_o latitude_n of_o it_o and_o afterward_o describe_v the_o dial_n to_o it_o according_a to_o the_o rule_v give_v before_o 16._o if_o a_o index_n shall_v be_v set_v up_o and_o make_v movable_a upon_o a_o stand_a plain_n there_o can_v no_o dial_n be_v describe_v thereto_o unless_o the_o index_n be_v make_v of_o wire_n or_o some_o such_o bend_a substance_n but_o to_o such_o there_o may_v for_o if_o you_o observe_v what_o straight_a line_n the_o foot_n make_v in_o its_o motion_n you_o must_v count_v that_o as_o the_o proper_a meridian_n and_o so_o set_v up_o a_o axis_n to_o some_o point_n of_o it_o you_o may_v put_v in_o a_o index_n into_o that_o foot_n so_o as_o the_o axis_n and_o fiducial_a edge_n of_o the_o index_n and_o the_o proper_a meridian_n may_v all_o three_o appear_v in_o one_o line_n and_o then_o finish_v your_o work_n as_o be_v before_o direct_v finis_fw-la circular_a horologiography_n show_v 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 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 south_n do_v arise_v unto_o which_o here_o at_o london_n will_v be_v near_o 18_o of_o they_o then_o divide_v each_o of_o these_o part_n into_o 15_o which_o for_o the_o azimuth_n will_v signify_v degree_n for_o the_o hour_n will_v stand_v for_o four_o minute_n of_o time_n apiece_o the_o altitude_n of_o the_o horary_a index_n may_v thus_o be_v find_v add_v your_o latitude_n to_o 90_o gr_n half_n that_o sum_n be_v the_o elevation_n of_o the_o horary_a index_n above_o the_o horizon_n thus_o at_o london_n 45_o min._n which_o be_v the_o altitude_n or_o elevation_n require_v or_o add_v half_o the_o compliment_n of_o your_o latitude_n which_o be_v 19¼_n to_o your_o latitude_n 51½_n the_o sum_n 70¾_n be_v the_o elevation_n of_o the_o index_n the_o stand_a and_o look_v of_o it_o it_o must_v stand_v right_a over_o the_o line_n of_o 12_o elevate_v above_o the_o say_a line_n 70¼_n gr_n and_o must_v look_v towards_o but_o not_o into_o the_o north_n pole_n the_o motion_n of_o the_o horary_a index_n 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