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	long_a	pole_n	4,613	5	12.5525	5	false

Text snippets containing the quad

ID	Title	Author	Corrected Date of Publication (TCP Date of Publication)	STC	Words	Pages
A48262	Mathematicall recreations. Or, A collection of many problemes, extracted out of the ancient and modern philosophers as secrets and experiments in arithmetick, geometry, cosmographie, horologiographie, astronomie, navigation, musick, opticks, architecture, statick, mechanicks, chemistry, water-works, fire-works, &c. Not vulgarly manifest till now. Written first in Greeke and Latin, lately compi'ld in French, by Henry Van Etten, and now in English, with the examinations and augmentations of divers modern mathematicians whereunto is added the description and use of the generall horologicall ring: and the double horizontall diall. Invented and written by William Oughtred.; Récréation mathématique. English.	Oughtred, William, 1575-1660. aut	1653 (1653)	Wing L1790; ESTC R217635	140,825	339

be_v indifferent_o have_v and_o here_o note_v that_o if_o the_o day_n be_v between_o the_o 13_o of_o september_n and_o the_o 10_o of_o march_n than_o the_o sun_n declination_n for_o that_o day_n must_v be_v take_v out_o of_o the_o distance_n of_o the_o sun_n from_o the_o zenith_n at_o noon_n so_o shall_v you_o have_v the_o latitude_n as_o before_o prbolem_fw-la xcv_o of_o the_o climate_n of_o country_n and_o to_o find_v in_o what_o climate_n any_o country_n be_v under_o climate_n as_o they_o be_v take_v geographical_o signify_v nothing_o else_o but_o when_o the_o length_n of_o the_o long_a day_n of_o any_o place_n be_v half_a a_o hour_n long_o or_o short_a than_o it_o be_v in_o another_o place_n and_o so_o of_o the_o short_a day_n and_o this_o account_n to_o begin_v from_o the_o equinoctial_a circle_n see_v all_o country_n under_o it_o have_v the_o short_a and_o long_a day_n that_o can_v be_v but_o 12_o hour_n but_o all_o other_o country_n that_o be_v from_o the_o equinoctial_a circle_n either_o towards_o the_o north_n or_o south_n of_o it_o unto_o the_o pole_n themselves_o be_v say_v to_o be_v in_o some_o one_o climate_n or_o other_o from_o the_o equinoctial_a to_o either_o of_o the_o pole_n circle_n which_o be_v in_o the_o latitude_n of_o 66_o degr_n 30_o m._n between_o each_o of_o which_o polar_a circle_n and_o the_o equinoctial_a circle_n there_o be_v account_v 24_o climate_n which_o differ_v one_o from_o another_o by_o half_a a_o hour_n time_n then_o from_o each_o polar_a circle_n to_o each_o pole_n there_o be_v reckon_v 6._o other_o climate_n which_o differ_v one_o from_o another_o by_o a_o month_n time_n so_o the_o whole_a earth_n be_v divide_v into_o 60_o climate_n 30_o be_v allot_v to_o the_o northern_a hemisphere_n and_o 30●_n to_o the_o southern_a hemisphere_n and_o here_o note_v that_o though_o these_o climate_n which_o be_v between_o the_o equinoctial_a and_o the_o polar_a circle_n be_v equal_a one_o unto_o the_o other_o in_o respect_n of_o time_n to_o wit_n by_o half_a a_o hour_n yet_o the_o latitude_n breadth_n or_o internal_a contain_v between_o climate_n and_o climate_n be_v not_o equal_a and_o by_o how_o much_o any_o climate_n be_v far_a from_o the_o equinoctial_a than_o another_o climate_n by_o so_o much_o the_o lesser_a be_v the_o interval_n between_o that_o climate_n and_o the_o next_o so_o those_o that_o be_v near_a the_o equinoctial_a be_v large_a and_o those_o which_o be_v far_a off_o most_o contract_a and_o to_o find_v what_o climate_n any_o country_n be_v under_o subtract_v the_o length_n of_o a_o equinoctial_a day_n to_o wit_n 12_o hour_n from_o the_o length_n of_o the_o long_a day_n of_o that_o country_n the_o remainder_n be_v double_v show_v the_o climate_n so_o at_o london_n the_o long_a day_n be_v near_o 16_o hour_n and_o a_o half_a 12_o take_v from_o it_o there_o remain_v 4_o hour_n and_o a_o half_a which_o double_v make_v 9_o half_a hour_n that_o be_v 9_o climate_n so_o london_n be_v in_o the_o 9_o climate_n problem_n xcvi_o of_o longitude_n and_o latitude_n of_o the_o earth_n and_o of_o the_o star_n longitude_n of_o a_o country_n or_o place_n be_v a_o arcke_n of_o the_o aequator_fw-la contain_v between_o the_o meridian_n of_o the_o azore_n and_o the_o meridian_n of_o the_o place_n and_o the_o great_a longitude_n that_o can_v be_v be_v 360_o degree_n note_n that_o the_o first_o meridian_n may_v be_v take_v at_o pleasure_n upon_o the_o terrestrial_a globe_n or_o map_n for_o that_o some_o of_o the_o ancient_a astronomer_n will_v have_v it_o at_o hercules_n pillar_n which_o be_v at_o the_o straits_n at_o gibraltar_n ptolemy_n place_v it_o at_o the_o canary_n island_n but_o now_o in_o these_o latter_a time_n it_o be_v hold_v to_o be_v near_o the_o azore_n but_o why_o it_o be_v first_o place_v by_o ptolemy_n at_o the_o canary_n island_n be_v because_o that_o in_o his_o time_n these_o island_n be_v the_o far_a western_a part_n of_o the_o world_n that_o be_v then_o discover_v and_o why_o it_o retain_v his_o place_n now_o at_o saint_n michael_n near_o the_o azore_n be_v that_o because_o of_o many_o accurate_a observation_n make_v of_o late_a by_o many_o expert_a navigator_n and_o mathematician_n they_o have_v find_v the_o needle_n there_o to_o have_v no_o variation_n but_o to_o point_v north_n and_o south_n that_o be_v to_o each_o pole_n of_o the_o world_n and_o why_o the_o longitude_n from_o thence_o be_v account_v eastward_n be_v from_o the_o motion_n of_o the_o sun_n eastward_o or_o that_o ptolemy_n and_o other_o do_v hold_v it_o more_o convenient_a to_o begin_v from_o the_o western_a part_n of_o the_o world_n and_o so_o account_v the_o longitude_n eastward_o from_o country_n to_o country_n that_o be_v then_o know_v till_o they_o come_v to_o the_o eastern_a part_n of_o asia_n rather_o than_o to_o make_v a_o beginning_n upon_o that_o which_o be_v unknown_a and_o have_v make_v up_o their_o account_n of_o reckon_v the_o longitude_n from_o the_o western_a part_n to_o the_o eastern_a part_n of_o the_o world_n know_v they_o suppose_v the_o rest_n to_o be_v all_o sea_n which_o since_o their_o death_n have_v be_v find_v almost_o to_o be_v another_o habitable_a world_n to_o find_v the_o longitude_n of_o a_o country_n if_o it_o be_v upon_o the_o globe_n bring_v the_o country_n to_o the_o brazen_a meridian_n and_o whatsoever_o degree_n that_o meridian_n cut_v in_o the_o equinoctial_a that_o degree_n be_v the_o longitude_n of_o that_o place_n if_o it_o be_v in_o a_o map_n then_o mark_v what_o meridian_n pass_v over_o it_o so_o have_v you_o the_o longitude_n thereof_o if_o no_o meridian_n pass_v over_o it_o then_o take_v a_o pair_n of_o compass_n and_o measure_v the_o distance_n between_o the_o place_n and_o the_o next_o meridian_n and_o apply_v it_o to_o the_o divide_a parallel_n or_o aequator_fw-la so_o have_v you_o the_o longitude_n require_v of_o the_o latitude_n of_o country_n latitude_n of_o a_o country_n be_v the_o distance_n of_o a_o country_n from_o the_o equinoctial_a or_o it_o be_v a_o ark_n of_o the_o meridian_n contain_v between_o the_o zenith_n of_o the_o place_n and_o the_o aequator_fw-la which_o be_v twofold_a viz._n either_o north-latitude_n or_o south-latitude_n either_o of_o which_o extend_v from_o the_o equinoctial_a to_o either_o pole_n so_o the_o great_a latitude_n that_o can_v be_v be_v but_o 90_o degree_n if_o any_o northern_a country_n have_v the_o arctic_a circle_n vertical_a which_o be_v in_o the_o latitude_n of_o 66._o gr_n 30._o m._n the_o sun_n will_v touch_v the_o horizon_n in_o the_o north_n part_v thereof_o and_o the_o long_a day_n will_v be_v there_o then_o 24_o hour_n if_o the_o country_n have_v less_o latitude_n than_o 66._o degree_n 30._o m._n the_o sun_n will_v rise_v and_o set_v but_o if_o it_o have_v more_o latitude_n than_o 66._o gr_n 30_o m._n it_o will_v be_v visible_a for_o many_o day_n and_o if_o the_o country_n be_v under_o the_o pole_n the_o sun_n will_v make_v a_o circular_a motion_n above_o the_o earth_n and_o be_v visible_a for_o a_o half_a year_n so_o under_o the_o pole_n there_o will_v be_v but_o one_o day_n and_o one_o night_n in_o the_o whole_a year_n to_o find_v the_o latitude_n of_o country_n if_o it_o be_v upon_o a_o globe_n bring_v the_o place_n to_o the_o brazen_a meridian_n and_o the_o number_n of_o degree_n which_o it_o meet_v therewith_o be_v the_o latitude_n of_o the_o place_n or_o with_o a_o pair_n of_o compass_n take_v the_o distance_n between_o the_o country_n and_o the_o equinoctial_a which_o apply_v unto_o the_o equinoctial_a will_v show_v the_o latitude_n of_o that_o country_n which_o be_v equal_a to_o the_o pole_n height_n if_o it_o be_v upon_o a_o map_n then_o mark_v what_o parallel_n pass_v over_o the_o country_n and_o where_o it_o cross_v the_o meridian_n that_o shall_v be_v the_o latitude_n but_o if_o ●o_o parallel_n pass_v over_o it_o then_o take_v the_o distance_n between_o the_o place_n and_o the_o next_o parallel_n which_o apply_v to_o the_o divide_a meridian_n from_o that_o parallel_n will_v show_v the_o latitude_n of_o that_o place_n to_o find_v the_o distance_n of_o place_n if_o it_o be_v upon_o a_o globe_n then_o with_o a_o pair_n of_o compass_n take_v the_o distance_n between_o the_o two_o place_n and_o apply_v it_o to_o the_o divide_a meridian_n or_o aequator_fw-la and_o the_o number_n of_o degree_n shall_v show_v ●e_a distance_n each_o degree_n be_v 60._o mile_n ●f_o it_o be_v in_o a_o map_n according_a to_o wright_n pro●ection_n take_v the_o distance_n with_o a_o pair_n of_o compass_n between_o the_o two_o place_n and_o apply_v this_o distance_n to_o the_o divide_a meridian_n on_o the_o map_n right_a against_o the_o two_o place_n so_o as_o many_o degree_n as_o be_v contain_v between_o the_o foot_n of_o the_o

every_o day_n and_o also_o for_o the_o show_v of_o the_o sun_n yearly_a motion_n because_o by_o this_o motion_n the_o sun_n go_v round_o about_o the_o heaven_n in_o the_o compass_n of_o a_o year_n make_v the_o four_o part_n or_o season_n thereof_o namely_o the_o spring_n in_o that_o quarter_n of_o the_o ecliptic_a which_o begin_v at_o the_o intersection_n on_o the_o east_n side_n of_o the_o dial_n and_o be_v therefore_o call_v the_o vernal_a intersection_n then_o the_o summer_n in_o that_o quarter_n of_o the_o ecliptic_a which_o begin_v at_o the_o intersection_n with_o the_o meridian_n in_o the_o high_a point_n next_o the_o zenith_n after_o that_o autumn_n in_o that_o quarter_n of_o the_o ecliptic_a which_o begin_v at_o the_o intersection_n on_o the_o west_n side_n of_o the_o dial_n and_o be_v therefore_o call_v the_o autumnal_a intersection_n and_o last_o the_o winter_n in_o that_o quarter_n of_o the_o ecliptic_a which_o begin_v at_o the_o intersection_n with_o the_o meridian_n i●_n the_o low_a point_n next_o the_o horizon_n but_o desides_fw-la this_o yearly_a motte●_n the_o sun_n have_v a_o diurnal_a or_o daily_a motion_n whereby_o it_o make_v day_n and_o night_n with_o all_o the_o diversity_n and_o inaequality_n thereof_o which_o be_v express_v by_o those_o other_o circle_v draw_v across_o the_o hour_n line_n the_o middlemost_a whereof_o be_v grosser_n than_o the_o rest_n meet_v with_o the_o ecliptic_a in_o the_o point_n of_o the_o vernal_a and_o autumnal_a intersection_n be_v the_o equinoctial_a and_o the_o rest_n on_o both_o side_n of_o it_o be_v call_v the_o parallel_n or_o diurnal_a arch_n of_o the_o sun_n the_o two_o outermost_a whereof_o be_v the_o tropic_n because_o in_o they_o the_o sun_n have_v his_o far_a digression_n or_o declination_n from_o the_o aequinoctial_a which_o be_v degree_n 23_o 1_o ●_o and_o thence_o begin_v again_o to_o return_v towards_o the_o equinoctial_a the_o upper_a of_o the_o two_o tropic_n in_o this_o nor_o northern_a hemisphere_n be_v the_o tropic_a of_o cancer_n and_o the_o sun_n be_v in_o it_o be_v high_a into_o the_o north_n make_v the_o long_a day_n of_o summer_n and_o the_o low_a next_o the_o horizon_n be_v the_o tropic_a of_o capricorn_n and_o the_o sun_n be_v in_o it_o be_v low_a into_o the_o south_n make_v the_o short_a day_n of_o winter_n between_o the_o two_o tropic_n and_o the_o aequinoctial_a infinite_a such_o parallel_n circle_n be_v understand_v to_o be_v contain_v for_o the_o sun_n in_o what_o point_n soever_o of_o the_o ecliptic_a it_o be_v carry_v describe_v by_o his_o lation_n a_o circle_n parallel_n to_o the_o aequinoctial_a yet_o those_o parallel_n which_o be_v in_o the_o instrument_n though_o draw_v but_o to_o every_o second_o degree_n of_o declination_n may_v be_v sufficient_a to_o direct_v the_o eye_n in_o imagine_v and_o trace_v out_o through_o every_o day_n of_o the_o whole_a year_n in_o the_o ecliptic_a a_o proper_a circle_n which_o may_v be_v the_o diurnal_a arch_n of_o the_o sun_n for_o that_o day_n for_o upon_o the_o right_a estimation_n of_o that_o imaginary_a parallel_n do_v the_o manifold_a use_n of_o this_o instument_n especial_o rely_v because_o the_o true_a place_n of_o the_o sun_n all_o that_o day_n be_v in_o some_o part_n or_o point_n of_o that_o circle_n wherefore_o for_o the_o bet●er_n conceive_v and_o bear_v in_o mind_n thereof_o every_o five_o parallel_n be_v herein_o make_v a_o little_o g●osser_a than_o the_o rest_n for_o this_o inner_a dial_n serve_v the_o shadow_n of_o the_o upright_a edge_n of_o the_o style_n which_o i_o therefore_o call_v the_o upright_a shadow_n and_o thus_o by_o the_o eye_n and_o view_v only_a to_o behold_v and_o comprehend_v the_o course_n of_o the_o sun_n throughout_o the_o whole_a year_n both_o for_o his_o annual_a and_o diurnal_a motion_n may_v be_v the_o first_o use_n of_o this_o instrument_n two_o use._n to_o find_v the_o declination_n of_o the_o sun_n every_o day_n look_v the_o day_n of_o the_o month_n propose_v in_o the_o ecliptic_a and_o mark_v how_o many_o degree_n the_o prick_n show_v that_o day_n be_v distant_a from_o the_o equinoctial_a either_o on_o the_o summer_n or_o winter_n side_n viz._n north_n or_o south_n example_n 1._o what_o will_v the_o declination_n of_o the_o sun_n be_v upon_o the_o eleven●h_o day_n of_o august_n look_v the_o eleven_o day_n of_o august_n and_o you_o shall_v find_v it_o in_o the_o six_o circle_n above_o the_o equinoctial_a now_o because_o each_o parallel_n stand_v as_o have_v be_v say_v before_o for_o two_o degree_n the_o sun_n shall_v that_o day_n decline_v northwards_o 12._o degree_n example_n 2._o what_o declination_n have_v the_o sun_n upon_o the_o 24_o day_n of_o march_n look_v the_o 24_o day_n of_o march_n and_o you_o shall_v find_v it_o between_o the_o second_o and_o three_o northern_a parallel_n as_o it_o be_v a_o half_a and_o one_o five_o part_n of_o that_o distance_n from_o the_o second_o reckon_v therefore_o four_o degree_n for_o the_o two_o circle_n and_o one_o de●ree_n for_o the_o half_a space_n so_o shall_v the_o sun_n declination_n be_v five_o degree_n and_o about_o one_o five_o part_n of_o a_o degree_n northward_o that_o same_o day_n example_n 3._o what_o declination_n have_v the_o sun_n upon_o the_o 13_o day_n of_o november_n look_v the_o 13_o day_n of_o november_n and_o you_o shall_v find_v it_o below_o the_o equinoctial_a ten_o parallel_n and_o about_o one_o quarter_n which_o be_v 20_o degree_n and_o a_o half_a southward_a so_o much_o be_v the_o declination_n and_o according_a to_o these_o example_n judge_v of_o all_o the_o rest_n iii_o use._n to_o find_v the_o diurnal_a arch_n or_o circle_n of_o the_o sun_n course_n every_o day_n the_o sun_n every_o day_n by_o his_o motion_n as_o have_v be_v say_v describe_v a_o circle_n parallel_n to_o the_o equinoctial_a which_o be_v either_o one_o of_o the_o circle_n in_o the_o dial_n or_o somewhere_o between_o two_o of_o they_o first_o therefore_o se●k_v the_o day_n of_o the_o month_n and_o if_o it_o fall_v upon_o one_o of_o those_o parallel_n that_o be_v the_o circle_n of_o the_o sun_n course_n that_o same_o day_n but_o if_o it_o fall_v between_o any_o two_o of_o the_o parallel_n imagine_v in_o your_o mind●_n and_o estimate_n with_o your_o eye_n another_o parallel_n through_o that_o point_n between_o those_o two_o parallel_n keep_v still_o the_o same_o distance_n from_o each_o of_o they_o as_o in_o the_o first_o of_o the_o three_o former_a example_n the_o circle_n of_o the_o sun_n course_n upon_o 11_o of_o august_n shall_v be_v the_o very_a six_o circle_n above_o the_o equinoctial_a towards_o the_o centre_n in_o example_n 2._o the_o circle_n of_o the_o sun_n cou●se_v upon_o the_o 24_o of_o march_n shall_v be_v a_o imaginary_a circle_n between_o the_o second_o and_o three_o parallel_v still_o keep_v a_o half_a of_o that_o space_n and_o one_o five_o part_n more_o of_o the_o rest_n from_o the_o second_o in_o example_n 3_o the_o circle_n of_o the_o sun_n course_n upon_o the_o 13_o of_o november_n shall_v be_v a_o imaginary_a circle_n between_o the_o ten_o and_o eleven_o parallel_v below_o the_o equinoctial_a still_o keep_v one_o quarter_n of_o that_o space_n from_o the_o ten_o four_o use._n to_o find_v the_o r●sing_n and_o set_v of_o the_o sun_n everyday_n 〈…〉_z as_o be_v last_o show_v the_o imaginary_a circle_n or_o parallel_v of_o the_o sun_n course_n for_o that_o day_n and_o mark_v the_o point_n where_o it_o meet_v with_o the_o horizon_n both_o on_o the_o east_n and_o w●st_a side_n for_o that_o be_v the_o very_a point_n of_o the_o sun_n r●sing_v and_o set_v that_o same_o day_n and_o the_o hour_n line_n which_o be_v on_o both_o side_n of_o it_o by_o proportion_v the_o distance_n reasonable_o according_a to_o 15_o minute_n for_o the_o quarter_n of_o the_o hour_n will_v show_v the_o hour_n of_o the_o sun_n rise_v on_o the_o east_n side_n and_o the_o sun_n set_v on_o the_o west_n side_n v_o use._n to_o know_v the_o reason_n and_o manner_n of_o the_o increase_v and_o decrease_v of_o the_o nights●hroughout_n ●hroughout_z the_o whole_a year_n when_o the_o sun_n be_v in_o the_o equinoctial_a it_o rise_v and_o set_v at_o 6_o a_o clock_n for_o in_o the_o instrument_n the_o intersection_n of_o the_o equinoctial_a and_o the_o ecliptic_a with_o the_o horizon_n be_v in_o the_o six_o a_o clock_n circle_n on_o both_o side_n but_o if_o the_o sun_n be_v out_o of_o the_o equinoctial_a decline_v towards_o the_o north_n the_o intersection_n of_o the_o parallel_n of_o the_o sun_n with_o the_o horizon_n be_v before_o 6_o in_o the_o morning_n and_o after_o 6_o in_o the_o evening_n and_o the_o diurnal_a arch_n great_a than_o 12_o hour_n and_o so_o much_o more_o great_a the_o great_a the_o northern_a declination_n be_v again_o if_o the_o sun_n be_v decline_v towards_o the_o

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a_o true_a meridian_n line_n draw_v in_o some_o window_n where_o the_o sun_n shine_v wherefore_o suppose_v the_o dial_n to_o be_v just_o set_v either_o upon_o the_o post_n or_o upon_o the_o meridian_n look_v what_o a_o clock_n it_o be_v by_o the_o outward_a dial_n and_o observe_v what_o point_n of_o the_o upright_a shadow_n fall_v upon_o the_o very_a same_o minute_n in_o the_o inner_a dial_n and_o through_o that_o same_o point_n imagine_v a_o parallel_n circle_n for_o the_o sun_n course_n that_o imaginary_a circle_n in_o the_o ecliptic_a shall_v cut_v the_o day_n of_o the_o month_n i_o the_o description_n of_o it_o this_o instrument_n serve_v as_o a_o dial_n to_o find_v the_o hour_n of_o the_o day_n not_o in_o one_o place_n only_o as_o the_o most_o part_n of_o dial_n do_v but_o general_o in_o all_o country_n lie_a north_n of_o the_o aequinoctial_a and_o therefore_o i_o call_v it_o the_o general_a h●rologicall_a ●ing_n it_o consist_v of_o two_o brazen_a circle_n a_o diameter_n and_o a_o little_a ring_n to_o hang_v it_o by_o the_o two_o circle_n be_v so_o make_v that_o though_o they_o be_v to_o be_v set_v at_o right_a angle_n when_o you_o use_v the_o instrument_n yet_o for_o more_o convenient_a carry_v they_o may_v be_v one_o fold_v into_o the_o other_o the_o lesser_a of_o the_o two_o circle_n be_v for_o the_o aequinoctial_a have_v in_o the_o midst_n of_o the_o inner_a side_n or_o thickness_n a_o line_n round_o it_o which_o be_v the_o true_a aequinoctial_a circle_n divide_v into_o twice_o twelve_o hour_n from_o the_o two_o opposite_a point_n in_o which_o it_o be_v fasten_v within_o the_o great_a the_o great_a and_o outer_a of_o the_o two_o circle_n be_v the_o meridian_n one_o quarter_n whereof_o beginning_n at_o one_o of_o the_o point_n in_o which_o the_o equinoctial_a be_v hang_v be_v divide_v into_o ninety_o degree_n the_o diameter_n be_v fasten_v to_o the_o meridian_n in_o two_o opposite_a point_n or_o pole_n o●e_v of_o they_o be_v the_o very_a end_n of_o the_o quadrant_n and_o be_v the_o north_n pole_n wherefore_o it_o be_v perpendicular_a to_o the_o equinoctial_a have_v his_o due_a position_n the_o diameter_n be_v broad_a and_o slit_v in_o the_o middle_n and_o about_o the_o slit_n on_o both_o side_n be_v the_o month_n and_o day_n of_o the_o year_n and_o within_o this_o slit_n be_v a_o little_a slide_a plate_n pierce_v through_o with_o a_o small_a hole_n which_o hole_n in_o the_o motion_n of_o it_o while_o it_o be_v apply_v to_o the_o day_n of_o the_o year_n represent_v the_o axis_n of_o the_o world_n the_o little_a ring_n whereby_o the_o instrument_n hang_v be_v make_v to_o slip_v up_o and_o down_o along_o the_o quadrant_n that_o so_o by_o help_n of_o a_o little_a tooth_n annex_v the_o instrument_n may_v be_v rectify_v to_o any_o elevation_n of_o the_o pole_n ii_o the_o use_n of_o it_o in_o use_v this_o instrument_n first_o the_o tooth_n of_o the_o little_a ring_n must_v careful_o be_v set_v to_o the_o height_n of_o the_o pole_n in_o the_o quadrant_n for_o the_o place_n wherein_o you_o be_v second_o the_o hole_n of_o the_o slide_a plate_n within_o the_o slit_n must_v be_v bring_v exact_o unto_o the_o day_n of_o the_o month_n three_o the_o aeqinoctiall_a be_v to_o be_v draw_v out_o and_o by_o mean_n of_o the_o two_o stud_n in_o the_o meridian_n stay_v it_o it_o be_v to_o be_v set_v perpendicular_a thereto_o four_o guess_v as_o near_o as_o you_o can_v at_o the_o hour_n and_o turn_v the_o hole_n of_o the_o little_a plate_n towards_o it_o last_o hold_v the_o instrument_n up_o by_o the_o little_a ring_n that_o it_o may_v hang_v free_o with_o the_o north_n pole_n thereof_o towards_o the_o north_n and_o move_v it_o gentle_o this_o way_n and_o that_o way_n till_o the_o beam_n of_o the_o sunshining_a through_o that_o hole_n fall_v upon_o that_o middle_a line_n within_o the_o aequinoctial_a for_o there_o shall_v be_v the_o hour_n of_o the_o day_n and_o the_o meridan_n of_o the_o instrument_n shall_v hang_v direct_o north_n and_o south_n these_o instrument_n all_o dial_n be_v make_v in_o brass_n by_o elias_n allen_n dwell_v over_o against_o st._n clement_n church_n without_o temple_n bar_n at_o the_o sign_n of_o the_o horse-shoe_n near_o essex_n gate_n finis_fw-la

one_o and_o the_o same_o position_n for_o as_o you_o come_v unto_o they_o apply_v one_o end_n of_o the_o magnes_fw-la near_o unto_o they_o the_o north_n of_o the_o one_o will_v abhor_v the_o north_n of_o the_o other_o but_o the_o north_n of_o the_o one_o will_v always_o approach_v to_o the_o south_n of_o the_o other_o and_o the_o same_o affection_n be_v in_o the_o stone_n themselves_o for_o the_o find_n of_o the_o pole_n of_o the_o magnes_fw-la it_o may_v be_v do_v by_o hold_v a_o small_a needle_n between_o your_o finger_n soft_o and_o so_o move_v it_o from_o part_n to_o part_v over_o the_o stone_n until_o it_o be_v hold_v perpendicular_a for_o that_o shall_v be_v one_o of_o the_o pole_n of_o the_o stone_n which_o you_o may_v mark_v out_o in_o like_a manner_n find_v out_o the_o other_o pole_n now_o to_o find_v out_o which_o of_o those_o pole_n be_v north_n or_o south_n place_v a_o needle_n be_v touch_v with_o one_o of_o the_o pole_n upon_o a_o smooth_a convex_a body_n as_o the_o nail_n of_o one_o finger_n or_o such_o like_a and_o mark_v which_o way_n the_o end_n of_o the_o needle_n that_o be_v touch_v turn_v if_o to_o the_o south_n than_o the_o point_n that_o touch_v it_o be_v the_o south-pole_n etc._n etc._n and_o it_o be_v most_o certain_a and_o according_a to_o reason_n and_o experience_n that_o if_o it_o be_v suspend_v in_o aequilibrio_fw-la in_o the_o air_n or_o support_v upon_o the_o water_n it_o will_v turn_v contrary_a to_o the_o needle_n that_o touch_v it_o for_o then_o the_o pole_n that_o be_v mark_v for_o the_o south_n shall_v turn_v to_o the_o north_n etc._n etc._n problem_n lxviii_o of_o the_o property_n of_o aeolipile_n or_o bowel_n to_o blow_v the_o fire_n these_o be_v concave_a vessel_n of_o brass_n or_o copper_n or_o other_o material_a which_o may_v endure_v the_o fire_n have_v a_o small_a hole_n very_o narrow_a by_o which_o it_o be_v fill_v with_o water_n then_o place_v it_o to_o the_o fire_n before_o it_o be_v hot_a there_o be_v no_o effect_n see_v 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