Selected quad for the lemma: earth_n

Word A	Word B	Word C	Word D	Occurrence	Frequency Band	MI	MI Band	Prominent
earth_n	appear_v	cold_a	zone_n	16	3	12.5773	5	false

Text snippets containing the quad

ID	Title	Author	Corrected Date of Publication (TCP Date of Publication)	STC	Words	Pages
A89305	Horlogiographia optica. Dialling universall and particular: speculative and practicall. In a threefold præcognita, viz. geometricall, philosophicall, and astronomicall: and a threefold practise, viz. arithmeticall, geometricall, and instrumentall. With diverse propositions of the use and benefit of shadows, serving to prick down the signes, declination, and azimuths, on sun-dials, and diverse other benefits. Illustrated by diverse opticall conceits, taken out of Augilonius, Kercherius, Clavius, and others. Lastly, topothesia, or, a feigned description of the court of art. Full of benefit for the making of dials, use of the globes, difference of meridians, and most propositions of astronomie. Together with many usefull instruments and dials in brasse, made by Walter Hayes, at the Crosse Daggers in More Fields. / Written by Silvanus Morgan.	Morgan, Sylvanus, 1620-1693.; Goddard, John, fl. 1645-1671, engraver.	1652 (1652)	Wing M2741; Thomason E652_16; ESTC R202919	57,946	133

himself_o in_o such_o art_n as_o may_v be_v and_o prove_v to_o be_v profitable_a for_o his_o country_n man_n be_v the_o atlas_n that_o support_v the_o earth_n a_o perfect_a world_n though_o in_o a_o second_o birth_n i_o know_v not_o which_o the_o complete_a world_n to_o call_v the_o senseless_a world_n or_o man_n the_o rational_a one_o claim_v complete_a in_o bigness_n and_o in_o birth_n say_v she_o be_v complete_a for_o man_n be_v last_o bring_v forth_o man_n speak_v again_o and_o stand_v in_o his_o defence_n because_o he_o be_v rational_a have_v complete_a sense_n nature_n now_o see_v they_o to_o disagree_v seek_v for_o a_o mean_n that_o they_o unite_v be_v conclude_v man_n that_o he_o shall_v guide_v the_o sphere_n limit_v their_o motion_n in_o day_n and_o month_n and_o year_n he_o think_v now_o his_o office_n not_o in_o vain_a limit_n the_o sun_n unto_o a_o dial_n plain_a girdle_n the_o world_n in_o circle_n zone_n and_o clime_n to_o show_v his_o art_n unto_o the_o after_o time_n nature_n that_o make_v he_o thus_o complete_a in_o all_o to_o please_v he_o more_o he_o microcosmus_n call_v a_o little_a world_n only_o in_o this_o respect_n of_o quantity_n and_o not_o for_o his_o defect_n pray_v gentle_a reader_n view_v but_o well_o their_o feature_n which_o be_v do_v pray_v tell_v i_o who_o be_v the_o great_a for_o he_o have_v give_v i_o certain_a knowledge_n of_o the_o thing_n that_o be_v namely_o to_o know_v how_o the_o world_n be_v make_v and_o the_o operation_n of_o the_o element_n the_o beginning_n end_v and_o midst_n of_o time_n the_o alteration_n of_o the_o turn_n of_o the_o sun_n and_o the_o change_n of_o season_n the_o circuit_n of_o year_n and_o position_n of_o star_n wisd._n 7._o 17._o the_o end_n of_o the_o praecognita_fw-la philosophical_a the_o argument_n of_o the_o praecognita_fw-la astronomical_a you_o be_v come_v to_o see_v a_o sight_n the_o world_n be_v the_o stage_n perhaps_o you_o will_v sayt'_v but_o a_o stargazing_a age_n what_o come_v you_o out_o to_o see_v one_o use_v a_o instrument_n can_v speculation_n yield_v you_o such_o content_n that_o you_o can_v rest_v in_o learning_n but_o the_o name_n of_o pegasus_n or_o of_o swift_a charles_n wain_n and_o will_v you_o learn_v to_o know_v how_o he_o do_v move_v about_o his_o axis_fw-la set_v at_o work_n by_o jove_n if_o you_o will_v learn_v the_o practice_n read_v and_o then_o i_o need_v not_o thus_o entreat_v you_o by_o my_o pen_n to_o tread_v in_o art_n fair_a step_n or_o to_o attain_v the_o way_n go_v on_o make_v haste_n relinquent_fw-la do_v not_o stay_v or_o will_v you_o scale_v olympic_a hill_n so_o high_a be_v sure_a you_o take_v fast_o hold_v astronomy_n then_o in_o that_o fair_a spread_a canopy_n no_o way_n from_o thou_o be_v hide_v no_o not_o galezia_n they_o that_o descend_v the_o water_n deep_o do_v see_v god_n wonder_n in_o the_o deep_a and_o what_o they_o be_v they_o that_o contemplate_v on_o the_o starry_a sky_n do_v see_v the_o work_n that_o he_o have_v frame_v so_o high_a learn_v first_o division_n of_o the_o world_n and_o how_o it_o be_v seat_v i_o do_v come_v to_o show_v you_o now_o the_o praecognita_fw-la astronomical_a chap_n i_o of_o the_o division_n of_o the_o world_n by_o accidental_a situation_n of_o the_o circle_n cosmus_n the_o world_n be_v divide_v by_o microcosmus_n the_o little_a world_n into_o substantial_a and_o imaginary_a part_n now_o the_o substantial_a be_v those_o material_a part_n or_o substance_n of_o which_o the_o world_n be_v compact_v and_o make_v a_o body_n by_o the_o inter-fold_n of_o one_o sphere_n within_o another_o as_o be_v the_o sphere_n of_o saturn_n jupiter_n mars_n sol_fw-la etc._n etc._n and_o these_o of_o themselves_o have_v a_o gentle_a and_o proper_a motion_n but_o by_o violence_n of_o the_o first_o mover_n have_v a_o rack_a motion_n contrary_a to_o their_o own_o proper_a motion_n whence_o it_o appear_v that_o the_o motion_n of_o the_o heaven_n be_v two_o one_o proper_a to_o the_o sphere_n as_o they_o be_v different_a in_o themselves_o the_o other_o common_a to_o all_o by_o phoebus_n motion_n plain_o do_v appear_v how_o many_o day_n do_v constitute_v one_o year_n will_v you_o know_v how_o many_o day_n do_v constitute_v a_o year_n he_o tell_v you_o who_o say_v ter_n centum_fw-la ter_fw-la viginti_fw-la cum_fw-la quinque_fw-la diebus_fw-la sex_fw-la horas_fw-la neque_fw-la plus_fw-la integer_fw-la annus_fw-la habet_fw-la three_o hundred_o sixty_o five_o day_n as_o appear_v with_o six_o hour_n add_v make_v a_o complete_a year_n the_o just_a period_n of_o the_o sun_n proper_a revolution_n perpetuus_fw-la solis_fw-la distinguit_fw-la tempora_fw-la motus_fw-la the_o imaginary_a part_n trace_v out_o by_o man_n imagination_n be_v circle_n such_o be_v the_o horizon_n the_o equator_n the_o meridian_n these_o circle_n have_v of_o themselves_o no_o proper_a motion_n but_o by_o alteration_n of_o place_n have_v a_o accidental_a division_n divide_v the_o world_n into_o a_o right_a sphere_n cut_v the_o parallel_n of_o the_o sun_n equal_o or_o oblique_a make_v unequal_a day_n and_o night_n whence_o two_o observation_n arise_v first_o where_o the_o parallel_n of_o the_o sun_n be_v cut_v equal_o there_o be_v also_o the_o day_n and_o night_n equal_a second_o where_o they_o be_v cut_v oblique_a there_o also_o the_o day_n and_o night_n be_v unequal_a the_o variety_n of_o the_o heaven_n be_v diverse_o divide_v into_o sphere_n or_o several_a orb_n and_o as_o the_o poet_n have_v find_v out_o a_o galazia_n the_o milky_a way_n of_o juno_n her_o breast_n or_o the_o way_n by_o which_o the_o god_n go_v to_o their_o palace_n so_o they_o will_v assign_v to_o each_o sphere_n his_o several_a god_n goddess_n of_o herald_n calliope_n in_o the_o high_a sphere_n do_v dwell_v astrology_n among_o the_o star_n urania_n do_v excel_v philosophy_n polimnia_n the_o sphere_n of_o saturn_n guide_v gladness_n sterpsicore_n with_o jupiter_n abide_v history_n and_o clio_n reign_v in_o man_n fix_a sphere_n tragedic_n melpomene_n guide_v he_o that_o guide_v the_o year_n solace_n yea_o and_o erata_n do_v fair_a venus_n sway_n loud_a instrument_n mercury_n his_o orb_n euturpe_v do_v obey_v ditty_n and_o horn_a cynthia_n be_v become_v the_o court_n of_o thalia_n to_o sing_v and_o laugh_v at_o sport_n where_o they_o take_v their_o place_n as_o they_o come_v in_o order_n the_o sphere_n be_v say_v to_o be_v right_a where_o the_o pole_n have_v no_o elevation_n but_o lie_v in_o the_o horizon_n so_o that_o to_o they_o the_o equinoctial_a be_v in_o the_o zenith_n that_o be_v the_o point_n just_a over_o their_o head_n the_o sphere_n be_v oblique_a in_o regard_n of_o its_o accidental_a division_n accidental_o divide_v in_o regard_n of_o its_o orbicular_a form_n orbicular_a in_o regard_n of_o its_o accidental_a equal_a variation_n orbicular_a it_o appear_v before_o in_o the_o praecognita_fw-la philosophical_a his_o equal_a variation_n be_v see_v by_o the_o equal_a proportion_n of_o the_o earth_n answer_v to_o a_o celestial_a degree_n for_o circle_n be_v in_o proportion_n one_o to_o another_o and_o parallel_v one_o to_o another_o be_v cut_v equal_o so_o be_v the_o earth_n to_o the_o heaven_n have_v consider_v they_o as_o before_o we_o will_v now_o consider_v another_o sort_n of_o sphere_n which_o be_v call_v parallel_n this_o parallel_a sphere_n be_v so_o that_o the_o parallel_n of_o the_o sun_n be_v parallel_n to_o the_o horizon_n have_v the_o pole_n in_o their_o zenith_n be_v the_o extreme_a intemperate_a cold_a and_o freeze_a zone_n ovid_n in_o his_o banishment_n complain_v thus_o thereof_o hard_o be_v the_o fright_n in_o scythia_n i_o sustain_v over_o my_o head_n heaven_n axis_n do_v remain_v chap_n ii_o of_o the_o circle_n of_o the_o horizon_n the_o equator_n and_o the_o meridian_n the_o great_a circle_n of_o a_o sphere_n be_v that_o which_o divide_v it_o in_o two_o equal_a part_n and_o that_o because_o it_o cross_v diametrical_o and_o the_o diameter_n be_v the_o long_a line_n as_o can_v be_v strike_v in_o a_o circle_n and_o therefore_o the_o great_a which_o great_a circle_n be_v represent_v in_o the_o follow_a figure_n represent_v the_o circle_n of_o a_o sphere_n in_o a_o oblique_a latitude_n according_a to_o the_o latitude_n or_o elevation_n of_o the_o pole_n here_o at_o london_n which_o be_v 51_o deg._n 32_o min._n be_v north_n latitude_n because_o the_o north_n pole_n be_v elevate_v the_o horizon_n be_v a_o great_a circle_n divide_v the_o part_n of_o heaven_n see_v from_o where_o we_o imagine_v a_o antipode_n the_o inhabitant_n be_v to_o we_o a_o antipheristasin_n our_o direct_a opposite_n so_o that_o while_o the_o sun_n continue_v visible_a to_o we_o it_o be_v above_o our_o horizon_n and_o so_o continue_v day_n with_o we_o while_o it_o be_v night_n with_o our_o opposite_n and_o when_o the_o sun_n go_v down_o with_o we_o it_o appear_v to_o

three_o flat_a and_o a_o gnomon_n in_o the_o middle_a of_o that_o board_n point_v to_o the_o pole_n because_o every_o parallel_n the_o sun_n move_v in_o be_v parallel_n to_o the_o equinoctial_a and_o that_o be_v at_o right_a angle_n with_o the_o pole_n of_o the_o world_n now_o the_o meridian_n pass_v through_o the_o most_o elevate_a place_n of_o that_o board_n or_o circle_n so_o lay_v neither_o can_v the_o sun_n declination_n make_v any_o sensible_a difference_n in_o the_o so_o small_a proportion_n of_o 3_o or_o 4_o hour_n time_n chap_n xviii_o show_v how_o to_o find_v the_o altitude_n of_o the_o sun_n only_o by_o scale_n and_o compass_n with_o your_o compass_n describe_v the_o circle_n a_o b_o c_o d_o place_v it_o horizontal_a with_o a_o gnomon_n in_o the_o centre_n cross_v it_o with_o two_o diameter_n then_o turn_v the_o board_n till_o the_o shadow_n be_v on_o one_o of_o the_o diameter_n at_o the_o end_n of_o the_o shadow_n mark_v as_o here_o at_o e_o lay_v down_o also_o the_o length_n of_o the_o gonmon_a from_o the_o centre_n on_o the_o other_o diameter_n to_o f_o from_o e_o to_o f_o draw_v a_o right_a line_n then_o take_v your_o compass_n and_o on_o the_o chord_n of_o 90_o take_v out_o the_o radius_fw-la the_o ark_n of_o 60_o set_v the_o compass_n so_o in_o e_o describe_v a_o arch_n then_o take_v the_o distance_n between_o the_o line_n e_o f_o and_o the_o diameter_n d_o b_o which_o measure_n on_o the_o chord_n of_o 90_o and_o so_o many_o degree_n as_o the_o compass_n extend_v over_o such_o a_o quantity_n be_v the_o height_n of_o the_o sun_n in_o like_o manner_n any_o angle_n be_v give_v you_o must_v measure_v it_o by_o the_o part_n of_o a_o circle_n here_o follow_v the_o problematical_a proposition_n of_o the_o office_n of_o shadow_n and_o the_o benefit_n we_o receive_v thereof_o prop._n 1_o by_o shadow_n we_o have_v a_o plain_a demonstration_n that_o the_o sphere_n of_o sol_fw-la be_v high_a than_o the_o sphere_n of_o luna_n to_o confirm_v such_o as_o think_v they_o move_v in_o one_o orb_n let_v the_o sun_n be_v at_o a_o in_o the_o great_a circle_n and_o the_o moon_n at_o b_o in_o the_o lesser_a let_v the_o horizon_n be_v c_o d_o now_o they_o make_v one_o angle_n of_o height_n in_o respect_n of_o the_o centre_n of_o the_o earth_n notwithstanding_o though_o they_o so_o equal_o respect_v the_o earth_n as_o one_o may_v hinder_v the_o sight_n of_o the_o other_o yet_o the_o shadow_n of_o the_o sun_n shall_v pass_v by_o the_o head_n of_o the_o gnomon_n e_o and_o cast_v it_o to_o f_o and_o the_o beam_n of_o the_o moon_n shall_v pass_v by_o e_o to_o g_o much_o long_o which_o show_v she_o be_v much_o low_a for_o the_o high_a the_o light_n be_v the_o short_a be_v the_o shadow_n i_o call_v the_o moon_n a_o feminine_a if_o you_o ask_v my_o reason_n she_o be_v cold_a and_o moist_a participate_v of_o the_o nature_n of_o woman_n and_o we_o call_v she_o the_o mother_n of_o moisture_n but_o that_o be_v not_o all_o for_o i_o have_v a_o rule_n for_o it_o nomen_fw-la non_fw-la crescens_fw-la prop._n 2._o by_o shadow_n we_o be_v teach_v the_o earth_n be_v big_a than_o the_o moon_n see_v in_o time_n of_o a_o total_a obscurity_n the_o moon_n be_v quite_o overshadow_a for_o the_o shadow_n be_v cast_v in_o this_o manner_n by_o the_o same_o we_o learn_v also_o that_o see_v the_o shadow_n come_v to_o a_o point_n the_o earth_n be_v less_o than_o the_o sun_n for_o if_o the_o opacous_a body_n be_v equal_a to_o the_o luminous_a body_n then_o like_o two_o parallel_n they_o will_v never_o meet_v but_o concur_v in_fw-la infinitum_fw-la as_o these_o follow_a figure_n show_v or_o if_o the_o luminous_a body_n be_v less_o than_o the_o opacous_a body_n then_o the_o shadow_n will_v be_v so_o great_a in_o so_o long_a a_o way_n as_o from_o the_o earth_n to_o the_o starry_a firmament_n that_o most_o of_o the_o star_n as_o be_v in_o opposition_n to_o the_o sun_n will_v not_o appear_v see_v they_o borrow_v their_o light_n of_o the_o sun_n it_o be_v also_o sufficient_o prove_v by_o shadow_n in_o the_o praecognita_fw-la philosophical_a that_o the_o earth_n be_v round_o and_o that_o it_o possess_v the_o middle_a as_o proprius_fw-la locus_fw-la from_o which_o it_o can_v pass_v and_o to_o which_o all_o heavy_a thing_n tend_v in_o a_o right_a line_n as_o their_o terminus_fw-la ad_fw-la quem_fw-la from_o which_o the_o semidiameter_n of_o the_o sun_n 15_o min._n subtract_v do_v remain_v the_o altitude_n of_o the_o centre_n of_o the_o sun_n 50_o de_fw-fr 3_o m._n the_o altitude_n require_v or_o from_o this_o or_o the_o former_a proposition_n we_o may_v take_v notice_n that_o there_o be_v no_o dial_n can_v show_v the_o exact_a time_n without_o the_o allowance_n of_o the_o sun_n semidiameter_n which_o in_o a_o strict_a acception_n be_v true_a but_o hereto_o mr._n wells_n have_v answer_v in_o the_o 85_o page_n of_o his_o art_n of_o shadow_n where_o say_v he_o because_o the_o shadow_n of_o the_o centre_n be_v hinder_v by_o the_o style_n the_o shadow_n of_o the_o hour-line_n proceed_v from_o the_o limb_n which_o always_o precede_v the_o centre_n one_o min._n of_o time_n answerable_a to_o 15_o min._n the_o semidiameter_n of_o the_o sun_n which_o to_o allow_v in_o the_o height_n of_o the_o style_n be_v erroneous_a wherefore_o let_v the_o al●owance_n be_v make_v in_o the_o hour-line_n detract_n from_o the_o true_a equinoctial_a distance_n of_o every_o 15_o deg._n 15_o prime_n and_o so_o the_o arch_n of_o the_o horizontal_a plane_n from_o the_o meridian_n shall_v stand_v thus_o prop._n 4._o by_o shadow_n we_o may_v find_v the_o natural_a tangent_fw-la of_o every_o degree_n of_o a_o quadrant_a as_o appear_v by_o the_o former_a example_n hour_n equinoctial_a distance_n true_a hour_n distance_n 12_o 0_o de_fw-fr m._n de_fw-fr m._n se_fw-la 11_o 1_o 14_o 45_o 11_o 38_o 51_o 10_o 2_o 29_o 45_o 24_o 6_o 31_o 9_o 3_o 44_o 45_o 37_o 4_o 2_o 8_o 4_o 59_o 45_o 53_o 19_o 12_o 7_o 5_o 74_o 45_o 70_o 48_o 6_o 6_o 6_o 89_o 45_o 89_o 40_o 51_o for_o the_o sun_n be_v 46_o deg_n 13_o min._n of_o altitude_n make_v a_o shadow_n of_o 95._o part_n of_o such_o as_o the_o gnomon_n be_v 100_o so_o then_o multiply_v the_o length_n of_o the_o gnomon_n 100_o by_o the_o radius_fw-la and_o divide_v by_o 95_o and_o it_o yield_v 105263_o the_o natural_a tangent_fw-la of_o that_o ark_n prop._n 5._o by_o shadow_n we_o may_v take_v the_o height_n of_o any_o building_n by_o the_o rule_n of_o proportion_n if_o a_o gnomon_n of_o 6_o foot_n high_a give_v a_o shadow_n of_o 10_o foot_n how_o high_a be_v that_o house_n who_o shadow_n be_v 25_o foot_n resolve_v by_o the_o rule_n of_o three_o prop._n 6._o by_o shadow_n also_o we_o learn_v the_o magnitude_n of_o the_o earth_n according_a to_o eratosthenes_n his_o proposition_n prop._n 7._o by_o shadow_n we_o learn_v the_o true_a equinoctial_a line_n run_v from_o east_n to_o west_n which_o cross_v at_o right_a angle_n be_v a_o true_a meridian_n where_o note_n that_o in_o the_o time_n of_o the_o equinoctial_a that_o the_o shadow_n of_o one_o gnomon_n be_v all_o in_o one_o right_a line_n prop._n 8._o by_o shadow_n we_o know_v the_o earth_n to_o be_v but_o as_o a_o point_n as_o may_v appear_v by_o the_o shadow_n of_o the_o earth_n on_o the_o body_n of_o the_o moon_n prop._n 9_o by_o shadow_n we_o may_v learn_v the_o distance_n of_o place_n by_o the_o quantity_n of_o the_o obscurity_n of_o a_o eclipse_n prop._n 10._o by_o gnomonicals_n we_o make_v distinction_n of_o climate_n and_o people_n some_o hetorezii_n some_o perezii_n some_o amphitii_n prop._n 11._o by_o shadow_v the_o climate_n be_v know_v in_o the_o cold_a intemperate_a zone_n the_o shadow_n go_v round_o in_o the_o hot_a intemperate_a zone_n the_o shadow_n be_v towards_o the_o west_n at_o the_o rise_a sun_n and_o towards_o the_o east_n at_o the_o set_a sun_n and_o no_o shadow_n at_o noon_n to_o they_o as_o dwell_v under_o the_o parallel_n and_o to_o they_o in_o the_o temperate_a zone_n always_o one_o way_n towards_o the_o north_n or_o towards_o the_o south_n prop._n 12._o by_o shadow_n we_o be_v teach_v the_o rule_n of_o delineate_v paint_v according_a to_o the_o perspective_n way_n how_o much_o be_v to_o be_v light_n or_o dark_a according_o draw_v as_o the_o centre_n be_v dispose_v to_o the_o eye_n so_o the_o office_n of_o shadow_n be_v manifold_a as_o in_o the_o optical_a conclusion_n be_v more_o ample_o declare_v therefore_o i_o refer_v you_o to_o other_o more_o learned_a work_n and_o desist_v to_o speak_v but_o for_o matter_n of_o information_n i_o will_v here_o insert_v certain_a definition_n take_v out_o of_o optica_fw-la agulion_n two_o lib._n 5._o first_o say_v he_o we_o call_v that_o a_o

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take_v away_o the_o cause_n that_o be_v light_a and_o you_o take_v away_o the_o effect_n that_o be_v shadow_n hence_o we_o also_o observe_v the_o sun_n to_o be_v the_o fountain_n of_o light_n who_o daily_a and_o occurrent_a motion_n do_v cause_v a_o admirable_a lustre_n to_o the_o glory_n of_o god_n see_v that_o by_o he_o we_o measure_v out_o our_o time_n season_n and_o year_n be_v it_o not_o his_o annual_a revolution_n or_o his_o proper_a motion_n that_o limit_n our_o year_n be_v it_o not_o his_o tropical_a distinction_n that_o limit_n our_o season_n be_v it_o not_o his_o diurnal_a motion_n that_o limit_n out_o our_o day_n and_o hour_n and_o man_n true_o that_o arch_a type_n of_o perfection_n have_v limit_v these_o motion_n even_o in_o the_o small_a type_n of_o a_o dial_n plane_fw-la as_o shall_v be_v make_v manifest_a in_o thing_n of_o the_o second_o notion_n that_o be_v demonstration_n by_o which_o all_o thing_n shall_v be_v make_v plain_a chap_n ii_o of_o the_o world_n prove_v 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ponderosity_n or_o a_o centre_n of_o rotundity_n if_o it_o be_v a_o seem_a point_n that_o be_v increase_v or_o diminish_v according_a to_o the_o ocular_a aspect_n as_o be_v sometime_o near_o and_o sometime_o far_o from_o the_o thing_n in_o the_o visual_a line_n the_o thing_n be_v make_v more_o or_o less_o apparent_a a_o centre_n of_o magnitude_n be_v a_o equal_a distribution_n from_o that_o point_n a_o equality_n of_o distribution_n of_o the_o part_n give_v to_o each_o end_n alike_o and_o to_o each_o a_o like_a vicinity_n to_o that_o point_n or_o centre_n a_o centre_n of_o ponderosity_n be_v such_o a_o point_n in_o which_o a_o unequal_a thing_n hang_v in_o equi_fw-la libra_fw-la in_o a_o equal_a distribution_n of_o the_o weight_n though_o one_o end_n be_v long_o or_o big_a than_o the_o other_o of_o the_o quantity_n of_o the_o ponderosity_n a_o centre_n of_o rotundity_n be_v such_o a_o centre_n as_o be_v the_o centre_n of_o a_o globe_n or_o circle_n be_v equal_o distant_a from_o all_o 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haeliacall_a or_o achronicall_a rise_n or_o set_v but_o still_o remain_v as_o a_o point_n as_o it_o be_v immovable_a about_o which_o the_o whole_a heaven_n be_v turn_v these_o yet_o be_v necessary_a to_o be_v imagine_v for_o the_o better_a demonstration_n of_o the_o ground_n of_o art_n for_o all_o man_n know_v the_o heaven_n to_o be_v support_v only_o by_o the_o providence_n of_o god_n thus_o much_o for_o the_o reason_n show_v why_o the_o world_n may_v be_v imagine_v to_o be_v turn_v on_o a_o axis_n the_o demonstration_n prove_v that_o the_o earth_n be_v the_o centre_n be_v thus_o not_o in_o maintain_v unlikely_a argument_n but_o verity_n of_o observation_n for_o all_o gnomon_n cast_v shadow_n on_o the_o face_n of_o the_o earth_n cast_v the_o like_a length_n or_o equality_n of_o shadow_n they_o make_v one_o and_o the_o same_o angle_n with_o the_o earth_n the_o sun_n be_v at_o one_o and_o the_o same_o angle_n of_o height_n to_o all_o the_o gnomon_n as_o in_o example_n let_v the_o earth_n be_v represent_v by_o the_o small_a circle_n within_o the_o great_a circle_n mark_v abcd_o and_o let_v a_o gnomon_n stand_v at_o e_o of_o the_o lesser_a circle_n who_o horizon_n be_v the_o line_n ac_o and_o let_v a_o other_o gnomon_n of_o the_o same_o length_n be_v set_v at_o i_o who_o horizon_n be_v represent_v by_o the_o line_n bd_o now_o if_o the_o sun_n be_v at_o equal_a angle_n of_o height_n above_o these_o two_o orison_n namely_o at_o 60_o degree_n from_o c_o to_o g_o and_o 60_o from_o b_o to_o f_o the_o gnomon_n shall_v give_v a_o like_a equality_n of_o shadow_n as_o in_o example_n be_v manifest_a now_o from_o the_o former_a appear_v that_o the_o earth_n be_v of_o no_o other_o form_n then_o round_o else_o can_v it_o not_o give_v equality_n of_o shadow_n neither_o can_v it_o be_v the_o centre_n to_o all_o the_o other_o inferior_a orb_n for_o if_o you_o grant_v not_o the_o earth_n to_o be_v the_o middle_n this_o must_v necessary_o follow_v that_o there_o be_v not_o equality_n of_o shadow_n for_o example_n let_v the_o great_a circle_n represent_v the_o heaven_n and_o the_o less_o the_o earth_n out_o of_o the_o centre_n of_o the_o great_a now_o the_o sun_n be_v above_o the_o horizon_n ac_o 60_o d._n and_o a_o gnomon_n at_o e_o cast_v his_o shadow_n from_o e_o to_o f_o and_o if_o the_o same_o gnomon_n of_o the_o same_o length_n do_v stand_v till_o the_o sun_n come_v to_o the_o opposite_a side_n of_o the_o horizon_n ac_o and_o the_o sun_n be_v 60_o degree_n above_o that_o horizon_n cast_v the_o shadow_n from_o e_o to_o h_o which_o be_v unequal_a in_o length_n the_o reason_n of_o which_o inequality_n prove_v that_o then_o it_o do_v not_o stand_v in_o the_o centre_n and_o the_o equality_n of_o the_o other_o prove_v that_o it_o be_v in_o the_o centre_n hence_o be_v also_o most_o forcible_o prove_v that_o the_o earth_n be_v complete_o round_a in_o the_o respect_n of_o the_o heaven_n as_o be_v show_v by_o the_o equality_n of_o shadow_n for_o if_o it_o be_v not_o round_o one_o and_o the_o same_o gnomon_n can_v not_o give_v one_o and_o the_o same_o shadow_n the_o earth_n be_v not_o complete_o round_a as_o in_o the_o ensue_a discourse_n and_o demonstration_n be_v more_o plain_o handle_v and_o make_v manifest_a and_o that_o the_o earth_n be_v round_o may_v appear_v first_o by_o the_o eclipse_n when_o the_o shadow_n of_o the_o earth_n appear_v on_o the_o body_n of_o the_o moon_n darken_n it_o in_o whole_a or_o in_o part_n and_o such_o be_v the_o body_n such_o be_v the_o shadow_n again_o it_o appear_v to_o be_v round_o by_o the_o orderly_a appear_n of_o the_o star_n for_o as_o man_n travel_v far_a north_n or_o south_n they_o discover_v new_a star_n which_o they_o see_v not_o before_o and_o lose_v the_o sight_n of_o they_o they_o do_v see_v as_o also_o by_o the_o rise_n or_o set_v of_o the_o sun_n or_o star_n which_o appear_v not_o at_o the_o same_o time_n to_o all_o country_n but_o by_o difference_n of_o meridian_n and_o by_o the_o different_a observation_n of_o eclipse_n appear_v soon_o to_o the_o easterly_a nation_n than_o those_o that_o be_v far_a west_n neither_o do_v the_o top_n of_o the_o high_a hill_n nor_o the_o sink_n of_o the_o low_a valley_n though_o they_o may_v seem_v to_o make_v the_o earth_n uneven_a yet_o compare_v with_o the_o whole_a greatness_n do_v not_o at_o all_o hinder_a the_o roundness_n of_o it_o and_o be_v no_o big_a than_o a_o point_n or_o pin_n head_n in_o comparison_n of_o the_o high_a heaven_n thus_o have_v run_v over_o the_o system_n of_o the_o great_a world_n now_o let_v we_o say_v something_o of_o the_o compendium_n thereof_o that_o be_v man_n chap_n v._o of_o man_n or_o the_o little_a world_n man_n be_v the_o perfection_n of_o the_o creation_n the_o glory_n of_o the_o creator_n the_o compendium_n of_o the_o world_n the_o lord_n of_o the_o creature_n he_o be_v true_o a_o cosmus_n of_o beauty_n who_o eye_n be_v the_o sun_n of_o his_o body_n by_o which_o he_o behold_v the_o never_o rest_a motion_n of_o the_o heaven_n contemplative_o to_o behold_v the_o place_n of_o motion_n the_o place_n of_o his_o eternal_a rest_n lord_n what_o be_v man_n that_o thou_o shall_v be_v so_o mindful_a of_o he_o or_o the_o son_n of_o man_n that_o thou_o so_o regard_v he_o thou_o have_v make_v a_o world_n of_o wonder_n in_o his_o face_n thou_o have_v make_v he_o to_o be_v a_o rational_a creature_n endow_v he_o with_o reason_n so_o that_o his_o intellect_n become_v his_o primum_fw-la mobile_a to_o set_v his_o action_n at_o work_n nevertheless_o man_n neither_o move_v nor_o reign_v in_o himself_o and_o therefore_o not_o for_o himself_o but_o be_v bear_v not_o to_o himself_o but_o for_o his_o country_n therefore_o he_o ought_v to_o employ_v