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

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

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

south_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 after_o 6_o in_o the_o morning_n and_o before_o 6_o in_o the_o evening_n and_o the_o diurnal_a arch_n lesser_a than_o 12_o hour_n and_o by_o so_o much_o lesser_a the_o great_a the_o southern_a declination_n be_v and_o in_o those_o place_n of_o the_o ecliptic_a in_o which_o the_o sun_n most_o speedy_o change_v his_o declination_n the_o length_n also_o of_o the_o day_n be_v most_o alter_v and_o where_o the_o ecliptic_a go_v most_o parallel_n to_o the_o equinoctial_a change_v the_o declination_n but_o little_o alter_v as_o for_o example_n when_o the_o sun_n be_v near_o unto_o the_o equinoctial_a on_o both_o side_n the_o day_n increase_n and_o also_o decrease_v sudden_o and_o apace_o because_o in_o those_o place_n the_o ecliptic_a incline_v to_o the_o equinoctial_a in_o a_o manner_n like_o a_o straight_a line_n make_v sensible_a declination_n again_o when_o the_o sun_n be_v near_o his_o great_a declination_n as_o in_o the_o height_n of_o summer_n and_o the_o depth_n of_o winter_n the_o day_n keep_v for_o a_o good_a time_n as_o it_o be_v at_o one_o stay_v because_o in_o these_o place_n the_o ecliptic_a be_v in_o a_o manner_n parallel_v to_o the_o equinoctial_a the_o length_n o●_n the_o day_n also_o be_v but_o little_a scarce_o alter_v the_o declination_n and_o because_o in_o those_o two_o time_n of_o the_o year_n the_o sun_n stand_v as_o it_o be_v still_o at_o one_o declination_n they_o be_v call_v the_o summer_n solstice_n and_o winter_n solstice_n and_o in_o the_o mean_a space_n the_o near_o every_o place_n be_v to_o the_o equinoctial_a the_o great_a be_v the_o diversity_n of_o day_n wherefore_o we_o may_v hereby_o plain_o see_v that_o the_o common_a receive_v opinion_n that_o in_o every_o month_n the_o day_n do_v equal_o increase_v be_v erroneous_a also_o we_o may_v see_v that_o in_o parallel_n equal_o distant_a from_o the_o equinoctial_a the_o day_n on_o the_o one_o side_n be_v equal_a to_o the_o night_n on_o the_o other_o side_n vi_o use_n to_o find_v how_o far_o the_o sun_n rise_v and_o set_v from_o the_o true_a east_n and_o west_n point_n which_o be_v call_v the_o sun_n amplitude_n ortive_a and_o occasive_a seek_v out_o as_o be_v show_v in_o iii_o use_v the_o imaginary_a circle_n or_o parallel_v of_o the_o sun_n course_n and_o the_o point_n of_o that_o circle_n in_o the_o horizon_n on_o the_o east_n and_o west_n side_n cut_v the_o degree_n of_o the_o amplitude_n ortive_a and_o occasive_a vii_o use._n to_o find_v the_o length_n of_o every_o day_n and_o night_n double_o the_o hour_n of_o the_o sun_n set_v and_o you_o shall_v have_v the_o length_n of_o the_o day_n &_o double_v the_o hour_n of_o the_o sun_n rise_v and_o you_o shall_v have_v the_o length_n of_o the_o right_n viii_o use_v to_o find_v the_o true_a place_n of_o the_o sun_n upon_o the_o dial_n that_o be_v the_o point_n of_o the_o instrument_n which_o answer_v to_o the_o place_n of_o the_o sun_n in_o the_o heaven_n at_o any_o time_n which_o be_v the_o very_a ground_n of_o all_o the_o question_n follow_v if_o the_o dial_n be_v fix_v upon_o a_o post_n look_v what_o a_o clock_n it_o be_v by_o the_o outward_a dial_n that_o be_v look_v what_o hour_n and_o part_n of_o hour_n the_o shadow_n of_o the_o slant_v edge_n of_o the_o style_n show_v in_o the_o outward_a limb_n then_o behold_v the_o shadow_n of_o the_o upright_a edge_n and_o mark_v what_o point_n thereof_o be_v upon_o that_o very_a hour_n and_o part_n in_o the_o inner_a dial_n among_o the_o parallel_n that_o point_n be_v the_o true_a place_n of_o the_o sun_n at_o the_o same_o instant_n if_o the_o dyal_a be_v not_o fix_v and_o you_o have_v a_o meridian_n line_v no●ed_v in_o any_o window_n where_o the_o sun_n shine_v place_n the_o meridian_n of_o your_o dyal_a upon_o the_o meridian_n line_n give_v so_o that_o the_o top_n of_o the_o stile_n may_v point_v into_o the_o north_n and_o so_o the_o dyal_a be_v as_o it_o be_v fix_v wherefore_o by_o the_o former_a rule_n you_o may_v find_v the_o place_n of_o the_o sun_n upon_o it_o if_o the_o dyal_a be_v not_o fix_v neither_o you_o have_v a_o meridian_n line_n but_o you_o know_v the_o true_a hour_n of_o the_o day_n exact_o hold_v the_o dyal_a even_o and_o parallel_v to_o the_o horizon_n move_v it_o till_o the_o slant_v edge_n of_o the_o stile_n cast_v his_o shadow_n just_o upon_o the_o time_n or_o hour_n give_v for_o then_o the_o dyal_a be_v true_o place_v as_o upon_o a_o post_n seek_v therefore_o what_o point_n of_o the_o upright_a shadow_n fall_v upon_o that_o very_a hour_n and_o there_o be_v the_o place_n of_o the_o sun_n but_o if_o your_o dyal_a be_v loose_a and_o you_o know_v neither_o the_o meridian_n nor_o the_o time_n of_o the_o day_n first_o by_o the_o day_n of_o the_o month_n in_o the_o ecliptic_a find_v the_o su●s_n parallel_n or_o diurnal_a arch_n for_o that_o day_n than_o hold_v the_o dyal_a level_n to_o the_o horizon_n move_v it_o every_o way_n until_o the_o slant_v shadow_n of_o the_o style_n in_o the_o outward_a limb_n and_o the_o upright_a shadow_n in_o the_o sun_n diurnal_a arch_n both_o show_v the_o very_a same_o hour_n and_o minute_n for_o that_o very_a point_n of_o the_o sun_n parallel_n which_o the_o upright_a shadow_n cut_v be_v the_o true_a place_n of_o the_o sun_n on_o the_o dyal_a at_o that_o present_a but_o note_v that_o by_o reason_n of_o the_o thickness_n of_o the_o style_n and_o the_o bluntness_n of_o the_o angle_n of_o the_o upright_a edge_n the_o sun_n can_v come_v unto_o that_o edge_n for_o some_o space_n before_o and_o after_o noon_n and_o so_o during_o the_o time_n that_o the_o sun_n shine_v not_o on_o that_o upright_a edge_n the_o place_n of_o the_o sun_n in_o the_o dyal_a can_v be_v find_v wherefore_o they_o that_o make_v this_o kind_n of_o double_a dyal_a be_v to_o be_v careful_a to_o file_v the_o upright_a edge_n of_o the_o style_n as_o thin_a and_o sharp_a as_o possible_a may_v be_v that_o which_o have_v here_o be_v teach_v concern_v the_o find_v out_o the_o sun_n true_a place_n in_o the_o dyal_a ought_v perfect_o to_o be_v understand_v that_o it_o may_v be_v ready_o and_o dexterious_o practise_v for_o upon_o the_o true_a performance_n thereof_o depend_v all_o that_o follow_v ix_o use_n to_o find_v the_o hour_n of_o the_o day_n if_o the_o dyal_a be_v fasten_v upon_o a_o post_n the_o hour_n by_o the_o outward_a dyal_a or_o limb_n be_v know_v of_o every_o one_o and_o the_o upright_a shadow_n in_o the_o sun_n parallel_n or_o diurnal_a arch_n will_v also_o show_v the_o very_a same_o hour_n but_o if_o the_o dial_n be_v loose_a either_o hold_v it_o or_o set_v it_o parallel_v to_o the_o horizon_n with_o the_o style_n point_v into_o the_o north_n and_o move_v it_o gentle_o every_o way_n until_o the_o hour_n show_v in_o both_o diall_n exact_o agree_v or_o which_o be_v all_o one_o find_v out_o the_o true_a place_n of_o the_o sun_n upon_o the_o dial_n as_o be_v teach_v in_o the_o former_a question_n for_o that_o point_n among_o the_o hour_n line_n show_v the_o hour_n of_o the_o day_n x_o use_n to_o find_v out_o the_o meridian_n and_o other_o point_n of_o the_o compass_n first_o you_o must_v seek_v the_o tru●_n hour_n of_o the_o day_n by_o the_o last_o question_n for_o in_o that_o situation_n the_o meridian_n of_o the_o dial_n stand_v direct_o north_n and_o south_n and_o the_o east_n point_v into_o the_o east_n and_o the_o west_n into_o the_o west_n and_o the_o rest_n of_o the_o point_n may_v be_v give_v by_o allow_v degree_n 11._o 1_o ●_o unto_o every_o point_n of_o the_o compass_n xi_o use_n to_o find_v out_o the_o azumith_n of_o the_o sun_n that_o be_v the_o distance_n of_o the_o vertical_a circle_n in_o which_o the_o sun_n be_v at_o that_o present_a from_o the_o meridian_n set_a your_o dial_n upon_o any_o plain_a or_o flat_o which_o be_v parallel_n to_o the_o horizon_n with_o the_o meridian_n point_v direct_o north_n or_o south_n as_o be_v last_o show_v then_o follow_v with_o your_o eye_n the_o upright_a shadow_n in_o a_o straight_a line_n till_o it_o cut_v the_o horizon_n for_o the_o degree_n in_o which_o the_o point_n of_o intersection_n be_v shall_v show_v how_o far_o the_o sun_n azumith_n be_v distant_a from_o the_o east_n and_o west_n point_n and_o the_o compliment_n thereof_o unto_o 90_o shall_v give_v the_o distance_n thereof_o from_o the_o meridian_n xii_o use_v to_o find_v out_o the_o declination_n of_o any_o wall_n upon_o which_o the_o sun_n shine_v that_o be_v how_o far_o that_o wall_n swerve_v from_o the_o north_n or_o south_n either_o eastward_a or_o westward_o take_v aboard_o have_v one_o straight_o edge_n

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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

water_n 198_o 11_o to_o find_v the_o weight_n of_o water_n 199_o 12_o to_o find_v the_o charge_n that_o a_o vessel_n may_v carry_v as_o ship_n boat_n or_o such_o like_a 200_o 13_o how_o come_v it_o that_o a_o ship_n have_v safe_o sail_v in_o the_o vast_a ocean_n and_o be_v come_v into_o the_o port_n or_o harbour_n will_v sink_v down_o right_a 200_o 14_o how_o a_o gross_a body_n of_o metal_n may_v swim_v upon_o the_o water_n 201_o 15_o how_o to_o weigh_v the_o lightness_n of_o the_o air_n 203_o 16_o be_v give_v a_o body_n to_o mark_v it_o about_o and_o show_v how_o much_o of_o it_o will_v sink_v in_o the_o water_n or_o swim_v above_o the_o water_n 204_o 17_o to_o find_v how_o much_o several_a metal_n or_o other_o body_n do_v weigh_v less_o in_o the_o water_n than_o in_o the_o air_n 204_o 18_o how_o be_v it_o that_o a_o balance_n have_v like_o weight_n in_o each_o scale_n and_o hang_v in_o aequilibrio_fw-la in_o the_o air_n be_v remove_v from_o that_o place_n without_o diminish_v the_o 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the_o wall_n upon_o the_o pavement_n how_o much_o have_v the_o top_n of_o the_o ladder_n descend_v 214_o prob._n 87_o witty_a suit_n or_o debate_n between_o caius_n and_o sempronius_n upon_o the_o form_n of_o figure_n which_o geometrician_n call_v isoperimeter_n or_o equal_a in_o circuit_n or_o compass_n 214_o 1_o incident_a of_o change_v a_o field_n of_o 6_o measure_n square_a for_o a_o long_o rectrangle_v fiel_n of_o 9_o measure_n in_o length_n and_o 3_o in_o breadth_n both_o equal_a in_o circuit_n but_o not_o in_o quantity_n 215_o 2_o incident_a about_o two_o sack_n each_o of_o they_o ho●ding_v but_o a_o bushel_n and_o yet_o be_v able_a to_o hold_v 4_o bushel_n 217_o 3_o incident_a show_v the_o deceit_n of_o pipe_n which_o conveygh_v water_n that_o a_o pipe_n of_o two_o inch_n diameter_n do_v cast_v out_o four_o time_n as_o much_o water_n as_o a_o pipe_n of_o one_o such_o diameter_n 218_o 7_o heap_n of_o corn_n of_o 10_o foot_n every_o way_n be_v not_o as_o much_o as_o one_o heap_n 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if_o a_o millstone_n from_o the_o orb_n of_o the_o sun_n shall_v descend_v a_o thousand_o mile_n in_o a_o hour_n how_o long_o it_o will_v be_v before_o it_o come_v to_o the_o earth_n 221_o of_o the_o sun_n quick_a motion_n of_o more_o than_o 7500_o mile_n in_o one_o minute_n 221_o of_o the_o rapt_a and_o violent_a motion_n of_o the_o starry_a firmament_n which_o if_o a_o horseman_n shall_v ride_v every_o day_n 40_o mile_n he_o can_v not_o in_o a_o thousand_o year_n make_v such_o a_o distance_n as_o it_o move_v every_o hour_n 221_o to_o find_v the_o circle_n of_o the_o sun_n by_o the_o finger_n 223_o prob._n 93_o of_o find_v the_o new_a and_o full_a moon_n in_o each_o month_n 224_o prob._n 94_o to_o find_v the_o latitude_n of_o country_n 225_o prob._n 95_o of_o the_o climate_n of_o country_n and_o how_o to_o find_v they_o 225_o prob._n 96_o of_o longitude_n and_o latitude_n of_o the_o place_n of_o the_o earth_n and_o of_o the_o star_n of_o the_o heaven_n 227_o to_o find_v the_o longitude_n of_o a_o country_n 228_o of_o the_o latitude_n of_o a_o country_n 229_o to_o find_v the_o latitude_n of_o a_o country_n 230_o to_o find_v the_o distance_n of_o place_n 230_o of_o the_o longitude_n latitude_n declination_n and_o distance_n of_o the_o star_n 231_o how_o be_v it_o that_o two_o horse_n or_o other_o creature_n come_v into_o the_o world_n at_o one_o time_n and_o die_v at_o one_o and_o the_o same_o instant_n yet_o the_o one_o of_o they_o to_o be_v a_o day_n old_a than_o the_o other_o 232_o certain_a fine_a observation_n in_o what_o place_n of_o the_o world_n be_v it_o that_o the_o needle_n hang_v in_o aequilibrio_fw-la and_o vertical_a 233_o in_o what_o place_n of_o the_o world_n be_v it_o the_o sun_n be_v east_n or_o west_n but_o twice_o in_o the_o year_n 233_o in_o what_o place_n of_o the_o world_n be_v it_o that_o the_o sun_n longitude_n from_o the_o equinoctial_a paint_v and_o altitude_n be_v equal_a the_o sun_n be_v due_a east_n or_o west_n that_o the_o sun_n come_v twice_o to_o one_o point_n of_o the_o compass_n in_o the_o forenoon_n or_o afternoon_n 233_o that_o in_o some_o place_n of_o the_o world_n there_o be_v but_o two_o kind_n of_o wind_n all_o the_o year_n 233_o two_o ship_n may_v be_v two_o league_n asunder_o under_o the_o equinoctial_a and_o sail_a north_n at_o a_o certain_a parallel_n they_o will_v be_v but_o just_a half_a so_o much_o 233_o to_o what_o inhabitant_n and_o at_o what_o time_n the_o sun_n will_v touch_v the_o north-part_n of_o the_o horizon_n at_o midnight_n 234_o how_o a_o man_n may_v know_v in_o his_o navigation_n when_o he_o be_v under_o the_o equinoctial_a 234_o at_o what_o day_n in_o the_o year_n the_o extremity_n of_o the_o style_n shadow_n in_o a_o dial_n make_v a_o right_a line_n 234_o what_o height_n the_o sun_n be_v of_o and_o how_o far_o from_o the_o zenith_n or_o horizon_n when_o a_o man_n shadow_n be_v as_o long_o as_o his_o height_n 234_o prob._n 97_o to_o make_v a_o triangle_n that_o shall_v have_v three_o right_a angle_n 234_o prob._n 98_o to_o divide_v a_o line_n in_o as_o many_o part_n as_o one_o will_n without_o compass_n or_o without_o see_v of_o it_o 235_o prob._n 99_o to_o draw_v a_o line_n which_o shall_v incline_v to_o another_o line_n yet_o never_o meet_v against_o the_o axiom_n of_o parallel_n 236_o prob._n 100_o to_o find_v the_o variation_n of_o the_o compass_n by_o the_o sun_n shine_v 237_o prob._n 101_o to_o know_v which_o way_n the_o wind_n be_v in_o one_o chamber_n without_o go_v abroad_o 238_o prob._n 102_o how_o to_o draw_v a_o parallel_n spherical_a line_n with_o great_a ease_n 239_o prob._n 103_o to_o measure_n a_o height_n only_o by_o help_n of_o one_o hat_n 240_o prob._n 104_o to_o take_v a_o height_n with_o two_o straw_n 240_o in_o architecture_n how_o statue_n or_o other_o thing_n in_o high_a building_n shall_v bear_v a_o proportion_n to_o the_o eye_n below_o either_o equal_a double_a etc._n etc._n 242_o prob._n 106_o of_o deform_a figure_n which_o have_v no_o exact_a proportion_n where_o to_o place_v the_o eye_n to_o see_v they_o direct_v 243_o prob._n 107_o how_o a_o cannon_n that_o have_v shoot_v may_v be_v cover_v from_o the_o battery_n of_o the_o enemy_n 244_o prob._n 108_o of_o a_o fine_a lever_n by_o which_o one_o man_n alone_o may_v place_v a_o cannon_n upon_o his_o carriage_n 245_o prob._n 109_o how_o to_o make_v a_o clock_n with_o one_o wheel_n 246_o of_o water-work_n prob._n 110_o how_o a_o child_n may_v draw_v up_o a_o hogshead_n of_o water_n with_o ease_n 247_o prob._n 111_o of_o a_o ladder_n of_o cord_n to_o carry_v in_o one_o

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than_o thought_n and_o the_o word_n of_o god_n testify_v that_o the_o lord_n make_v all_o thing_n in_o number_n measure_n weight_n and_o time_n problem_n xcii_o to_o find_v the_o bissextile_a year_n the_o dominical_a letter_n and_o the_o letter_n of_o the_o month_n let_v 123_o or_o 124_o or_o 125_o or_o 26_o or_o 27_o which_o be_v the_o remainder_n of_o 1500_o or_o 1600_o be_v divide_v by_o 4_o which_o be_v the_o number_n of_o the_o leap-year_n and_o that_o which_o remain_v of_o the_o division_n show_v the_o leap-yeare_n as_o if_o one_o remain_v it_o show_v that_o it_o be_v the_o first_o year_n since_o the_o bissextile_a or_o leap-year_n if_o two_o it_o be_v the_o second_o year_n etc._n etc._n and_o if_o nothing_o remain_v than_o it_o be_v the_o bissextile_a or_o leap-yeare_n and_o the_o quotient_n show_v you_o how_o many_o bissextiles_fw-la or_o leap-yeare_n there_o be_v contain_v in_o so_o many_o year_n to_o find_v the_o circle_n of_o the_o sun_n by_o the_o finger_n let_v 123_o 24_o 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dwell_v between_o the_o north-pole_n and_o the_o tropic_n of_o cancer_n have_v their_o spring_n and_o summer_n between_o the_o 10_o of_o march_n and_o the_o 13_o of_o september_n and_o therefore_o in_o any_o day_n between_o that_o time_n get_v the_o sun_n distance_n by_o instrumental_a observation_n from_o the_o zenith_n at_o noon_n and_o add_v the_o declination_n of_o the_o sun_n for_o that_o day_n to_o it_o so_o the_o aggragate_n show_v such_o be_v the_o latitude_n or_o pole_n height_n of_o that_o country_n now_o the_o declination_n of_o the_o sun_n for_o any_o day_n be_v find_v out_o by_o table_n calculate_v to_o that_o end_n or_o mechanical_o by_o the_o globe_n or_o by_o instrument_n it_o may_v

compass_n so_o much_o be_v the_o distance_n between_o the_o two_o place_n if_o the_o distance_n of_o two_o place_n be_v require_v in_o a_o particular_a map_n then_o with_o the_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 scale_n of_o miles_n so_o have_v you_o the_o distance_n if_o the_o scale_n be_v too_o short_a take_v the_o scale_n between_o the_o compass_n and_o apply_v that_o to_o the_o two_o place_n as_o often_o as_o you_o can_v so_o have_v you_o the_o distance_n require_v of_o the_o longitude_n latitude_n declination_n and_o distance_n of_o the_o star_n the_o declination_n of_o a_o star_n be_v the_o near_a distance_n of_o a_o star_n from_o the_o aequator_fw-la the_o latitude_n of_o a_o star_n be_v the_o near_a distance_n of_o a_o sarre_n from_o the_o ecliptic_a the_o longitude_n of_o a_o star_n be_v a_o ark_n of_o the_o ecliptic_a contain_v between_o the_o begin_n of_o aries_n and_o the_o circle_n of_o the_o star_n latitude_n 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