Selected quad for the lemma: earth_n

Word A	Word B	Word C	Word D	Occurrence	Frequency Band	MI	MI Band	Prominent
earth_n	globe_n	magnitude_n	star_n	2,860	5	11.3541	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

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 place_n now_o the_o earth_n be_v to_o be_v understand_v to_o be_v such_o a_o centre_n as_o the_o centre_n of_o a_o globe_n or_o sphere_n be_v equal_o distant_a from_o the_o concave_a superficies_n of_o the_o firmament_n neither_o be_v it_o to_o be_v understand_v to_o be_v a_o centre_n as_o a_o point_n indivisible_a but_o either_o comparative_o or_o optical_o comparative_o in_o respect_n of_o the_o superior_a orb_n optical_o by_o reason_n of_o the_o far_a distance_n of_o the_o one_o from_o the_o earth_n as_o that_o the_o fix_a star_n be_v far_o distant_a seem_v by_o the_o weakness_n of_o the_o sense_n to_o be_v conceive_v as_o a_o centre_n indivisible_a when_o by_o the_o force_n and_o vigour_n of_o reason_n and_o demonstration_n they_o be_v find_v to_o exceed_v this_o globe_n of_o earth_n much_o in_o magnitude_n so_o that_o what_o our_o sense_n can_v apprehend_v must_v be_v comprehend_v by_o reason_n as_o in_o the_o circle_n of_o the_o celestial_a orb_n because_o they_o can_v be_v perceive_v by_o sense_n yet_o must_v necessary_o be_v imagine_v to_o be_v so_o whence_o it_o be_v observable_a that_o all_o sun_n dial_n though_o they_o stand_v on_o the_o surface_n of_o the_o earth_n do_v as_o true_o show_v the_o hour_n as_o if_o they_o stand_v in_o the_o centre_n chap_n iv._o declare_v what_o reason_n may_v move_v the_o philosopher_n and_o other_o to_o think_v the_o earth_n to_o be_v the_o centre_n and_o that_o the_o world_n move_v on_o a_o axis_fw-la circa_fw-la quem_fw-la convertitur_fw-la ocular_a observation_n be_v affirmative_a demonstration_n so_o that_o what_o be_v make_v plain_a by_o sense_n be_v apparent_a to_o reason_n hence_o it_o so_o happen_v that_o we_o imagine_v the_o earth_n to_o move_v as_o it_o be_v on_o a_o axis_fw-la because_o both_o by_o ocular_a and_o instrumental_a observation_n in_o respect_n that_o by_o the_o eye_n it_o be_v observe_v that_o one_o place_n of_o the_o sky_n be_v semper_fw-la apparens_fw-la neither_o make_v cosmical_a 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

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