Selected quad for the lemma: ground_n

Word A	Word B	Word C	Word D	Occurrence	Frequency Band	MI	MI Band	Prominent
ground_n	line_n	plain_a	superficies_n	3,898	5	16.1862	5	true

Text snippets containing the quad

ID	Title	Author	Corrected Date of Publication (TCP Date of Publication)	STC	Words	Pages
A51553	A tutor to astronomie and geographie, or, An easie and speedy way to know the use of both the globes, coelestial and terrestrial in six books : the first teaching the rudiments of astronomy and geography, the 2. shewing by the globes the solution of astronomical & geographical probl., the 3. shewing by the globes the solution of problems in navigation, the 4. shewing by the globes the solution of astrological problemes, the 5. shewing by the globes the solution of gnomonical problemes, the 6. shewing by the globes the solution of of [sic] spherical triangles : more fully and amply then hath ever been set forth either by Gemma Frisius, Metius, Hues, Wright, Blaew, or any others that have taught the use of the globes : and that so plainly and methodically that the meanest capacity may at first reading apprehend it, and with a little practise grow expert in these divine sciences / by Joseph Moxon ; whereunto is added Antient poetical stories of the stars, shewing reasons why the several shapes and forms are pictured on the coelestial globe, collected from Dr. Hood ; as also a Discourse of the antiquity, progress and augmentation of astronomie.	Moxon, Joseph, 1627-1691.; Hood, Thomas, fl. 1582-1598.	1659 (1659)	Wing M3021; ESTC R23159	189,557	267

the_o heat_n of_o the_o sun_n and_o there_o set_v on_o fire_n but_o his_o opinion_n be_v of_o all_o man_n confute_v first_o touch_v the_o place_n it_o can_v be_v in_o the_o air_n for_o whatsoever_o be_v in_o the_o air_n be_v not_o see_v of_o all_o man_n at_o all_o time_n to_o be_v under_o one_o and_o the_o same_o part_n of_o heaven_n if_o we_o see_v it_o in_o the_o south_n they_o that_o be_v in_o the_o west_n shall_v see_v it_o under_o the_o east_n side_n of_o the_o heaven_n and_o they_o that_o be_v in_o the_o east_n shall_v see_v it_o in_o the_o west_n part_n of_o the_o heaven_n but_o this_o circle_n be_v of_o all_o man_n see_v always_o under_o the_o same_o part_n of_o heaven_n and_o to_o be_v join_v with_o the_o same_o star_n therefore_o it_o can_v be_v in_o the_o air._n again_o for_o the_o matter_n it_o can_v be_v make_v of_o that_o which_o aristotle_n name_v i_o e._n the_o vapour_n of_o the_o earth_n because_o of_o the_o long_a continuance_n of_o the_o thing_n and_o that_o without_o any_o alteration_n for_o it_o be_v impossible_a that_o any_o meteor_n make_v of_o vapour_n draw_v up_o from_o the_o water_n or_o exhalation_n from_o the_o earth_n shall_v last_v so_o long_o as_o may_v be_v see_v in_o blaze_a star_n which_o though_o they_o have_v continue_v long_o as_o namely_o 16._o month_n some_o more_o some_o less_o yet_o at_o the_o length_n they_o have_v vanish_v away_o whereas_o this_o circle_n have_v continue_v from_o the_o begin_n unto_o this_o day_n beside_o put_v case_n it_o be_v make_v of_o these_o exhalation_n whence_o will_v they_o infer_v the_o uniformity_n thereof_o the_o comet_n do_v alter_v diverse_o both_o in_o the_o fashion_n of_o their_o blaze_a and_o also_o in_o their_o several_a quantity_n whereas_o in_o this_o circle_n there_o be_v nothing_o but_o the_o same_o part_n always_o of_o one_o form_n and_o of_o one_o bigness_n in_o the_o e●●cient_a cause_n therefore_o he_o must_v needs_o err_v for_o if_o it_o be_v neither_o in_o the_o air_n nor_o make_v of_o the_o exhalation_n of_o the_o earth_n it_o can_v be_v cause_v by_o the_o sun_n for_o the_o one_o be_v the_o place_n and_o the_o other_o the_o matter_n wherein_o and_o whereupon_o the_o sun_n show_v his_o power_n all_o other_o beside_o aristotle_n agree_v in_o the_o place_n but_o differ_v in_o the_o efficient_a cause_n thereof_o and_o they_o be_v either_o philosopher_n or_o poet_n both_o these_o affirm_v that_o it_o be_v in_o the_o firmament_n i._n e._n in_o the_o eight_o sphere_n but_o they_o disagree_v in_o the_o cause_n thereof_o the_o philosopher_n and_o chief_o demecritus_fw-la affirm_v the_o cause_n of_o the_o thing_n to_o be_v the_o exceed_a great_a number_n of_o star_n in_o that_o part_n of_o heaven_n who_o beam_n meet_v together_o so_o confuse_o and_o not_o come_v distinct_o to_o the_o eye_n cause_v we_o to_o imagine_v such_o a_o whiteness_n as_o be_v see_v but_o the_o best_a opinion_n be_v this_o that_o this_o milky_a way_n be_v a_o part_n of_o the_o firmament_n neither_o so_o thin_a as_o the_o other_o part_n thereof_o be_v not_o yet_o so_o thick_a as_o the_o star_n themselves_o if_o it_o be_v as_o thin_a as_o the_o other_o part_n of_o the_o heaven_n beside_o the_o star_n than_o can_v it_o not_o retain_v the_o light_n but_o the_o light_n will_v pass_v through_o it_o and_o not_o be_v see_v if_o it_o be_v as_o thick_a as_o the_o star_n than_o will_v the_o light_n be_v so_o double_v in_o it_o that_o it_o will_v glister_v and_o shine_v as_o the_o star_n themselves_o do_v but_o be_v neither_o so_o thin_a as_o the_o one_o nor_o so_o thick_a as_o the_o other_o it_o become_v of_o that_o whiteness_n we_o see_v bla●u_fw-mi say_v this_o lactean_a whiteness_n and_o clearness_n arise_v from_o a_o great_a number_n of_o little_a star_n constipate_v in_o that_o part_n of_o heaven_n fly_v so_o swift_o from_o the_o sight_n of_o our_o eye_n that_o we_o can_v perceive_v nothing_o but_o a_o confuse_a light_n this_o the_o tubus_n diopticus_n more_o 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what_o be_v mean_v by_o the_o word_n horizon_n when_o i_o speak_v of_o the_o horizon_n before_o i_o only_o mention_v the_o wooden_a horizon_n or_o frame_n about_o the_o globe_n which_o because_o it_o represent_v the_o mathematical_a horizon_n be_v therefore_o call_v the_o horizon_n but_o the_o word_n horizon_n be_v to_o be_v consider_v more_o particular_o two_o manner_n of_o way_n as_o first_o the_o natural_a horizon_n second_o the_o mathematical_a horizon_n the_o natural_a horizon_n be_v that_o appearent_a circle_n which_o divide_v the_o visible_a part_n of_o heaven_n from_o the_o invissible_a it_o extend_v itself_o in_o a_o straight_a line_n from_o the_o superficies_n of_o the_o earth_n every_o way_n round_o about_o the_o place_n you_o stand_v upon_o even_o into_o the_o very_a circumference_n of_o the_o heaven_n it_o be_v only_o discern_v at_o sea_n or_o on_o plain_a ground_n that_o be_v free_a from_o all_o hindrance_n of_o the_o sight_n as_o hill_n tree_n house_n etc._n etc._n the_o 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star_n come_v just_a to_o the_o upper_a inner_a edge_n of_o the_o wooden_a horizon_n the_o zenith_n and_o nadir_n be_v two_o point_n opposite_a to_o one_o another_o the_o zenith_n be_v that_o point_n in_o heaven_n which_o be_v direct_o over_o our_o zenith_n head_n and_o the_o nadir_n be_v that_o point_n in_o heaven_n which_o be_v direct_o nadir_n under_o our_o foot_n the_o azimuth_n or_o verticle_n circle_n be_v great_a circle_n pass_v through_o the_o zenith_n and_o nadir_n who_o pole_n be_v the_o zenith_n and_o circle_n nadir_n and_o as_o the_o meridian_n cut_n the_o equator_fw-la and_o all_o parallel_n to_o the_o equator_fw-la at_o right_a angle_n so_o the_o azimuth_n cut_v the_o horizon_n and_o all_o almicanthar_n at_o right_a angle_n also_o the_o azimuth_n as_o the_o meridian_n be_v infinite_a and_o be_v number_v by_o degree_n from_o the_o east_n and_o west_n point_n towards_o the_o north_n and_o south_n in_o the_o horizon_n as_o also_o be_v the_o amplitude_n the_o almicanthar_n be_v circle_n parallel_v to_o the_o horizon_n altitude_n who_o pole_n be_v the_o zenith_n and_o nadir_n they_o be_v also_o call_v circle_n of_o altitude_n because_o when_o the_o sun_n moon_n or_o any_o star_n be_v in_o any_o number_n of_o degree_n above_o the_o horizon_n it_o be_v say_v to_o have_v so_o many_o degree_n of_o altitude_n which_o degree_n of_o altitude_n be_v number_v upon_o the_o verticle_n circle_n from_o the_o horizon_n upward_o towards_o the_o zenith_n the_o almicanthar_n be_v also_o infinite_a as_o parallel_n meridian_n and_o azimuth_n be_v the_o amplitude_n be_v the_o number_n of_o degree_n contain_v between_o amplitude_n the_o true_a east_n or_o west_n point_n in_o the_o horizon_n and_o the_o rise_n or_o set_v of_o the_o sun_n moon_n or_o star_n etc._n etc._n the_o declination_n be_v

thus_o the_o 1_o a_o clock_n hour-line_n 11.40_o who_o compliment_n 90._o be_v 78.20_o 2_o 24.15_o 65.45_o 3_o 38.4_o 51.56_o 4_o 53.36_o 36.24_o i_o measure_v in_o a_o quadrant_n of_o the_o same_o radius_fw-la with_o those_o arch_n already_o draw_v from_o the_o equinoctial_a line_n for_o the_o 1_o a_o clock_n hour_n 78.20_o 2_o 65.45_o 3_o 51.56_o 4_o 36.24_o and_o transfer_v these_o distance_n to_o the_o arch_n draw_v on_o the_o ceiling_n for_o then_o straight_a line_n draw_v through_o the_o mark_n in_o the_o arch_n and_o through_o the_o mark_n in_o the_o equator_fw-la and_o prolong_v both_o way_n to_o a_o convenient_a length_n shall_v be_v the_o several_a hour-line_n a_o foresay_a and_o when_o the_o sun_n shine_v upon_o the_o glass_n at_o nodus_fw-la its_o beam_n shall_v reflect_v upon_o the_o hour_n of_o the_o day_n prob._n xvi_o to_o make_v a_o dyal_n upon_o a_o solid_a ball_n or_o globe_n that_o shall_v show_v the_o hour_n of_o the_o day_n without_o a_o gnomon_n the_o 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equinoctial_a be_v cut_v in_o two_o opposite_a point_n by_o the_o light_n of_o the_o sun_n a_o dyal_n of_o this_o fort_n be_v make_v by_o m_n r_o john_n l●●k_n and_o set_v up_o on_o a_o composite_a column_n at_o leaden_a hall_n corner_n in_o london_n in_o the_o majoralty_n of_o s_o r_o john_n dethick_n knight_n the_o figure_n whereof_o i_o have_v insert_v because_o it_o be_v a_o pretty_a piece_n of_o ingenuity_n and_o may_v perhaps_o stand_v some_o lover_n of_o ar●_n in_o stead_n either_o for_o imitation_n or_o help_v of_o invention_n prob._n xvii_o to_o make_v a_o dyal_n upon_o a_o glass_n globe_n who_o axis_n shall_v cast_v a_o shadow_n upon_o the_o hour_n of_o the_o day_n first_o divide_v the_o equinoctial_a of_o your_o globe_n into_o 24_o equal_a part_n and_o have_v a_o semicircle_n cut_v out_o of_o some_o brass_n plate_n or_o thin_a wood_n to_o the_o same_o diameter_n your_o globe_n be_v of_o or_o a_o very_a little_a wide_a apply_v this_o semicircle_n to_o the_o globe_n so_o as_o the_o upper_a edge_n of_o each_o end_n of_o the_o semi_a circle_n may_v touch_v the_o pole_n of_o the_o globe_n and_o the_o middle_n of_o the_o semi_a circle_n may_v at_o the_o same_o edge_n cut_v through_o some_o division_n make_v in_o the_o equinoctial_a for_o then_o a_o line_n draw_v by_o the_o edge_n of_o the_o semi_a circle_n thus_o posit_v shall_v be_v a_o meridian_n line_n the_o same_o way_n you_o must_v draw_v meridian_n line_n through_o every_o division_n of_o the_o equinoctial_a and_o set_v figure_n to_o they_o beginning_z with_o 1_o 2_o 3_o 4_o etc._n etc._n to_o 12_o and_o then_o begin_v again_o with_o 1_o 2_o 3_o 4_o etc._n etc._n to_o 12_o again_o this_o globe_n be_v make_v of_o glass_n and_o have_v a_o axis_n of_o wyer_n pass_v through_o ●t_a from_o pole_n to_o pole_n will_v be_v a_o horizontal_n dyal_n all_o the_o world_n over_o if_o its_o axis_n be_v set_v parallel_n to_o the_o axis_n of_o the_o world_n in_o the_o same_o place_n and_o one_o of_o the_o meridian_n mark_v 12_o be_v set_v so_o as_o it_o may_v direct_o behold_v the_o north_n point_n in_o heaven_n and_o the_o other_o the_o south_n point_n in_o heaven_n for_o then_o the_o axis_n of_o the_o globe_n shall_v cast_v a_o shadow_n upon_o the_o hour_n of_o the_o day_n and_o if_o you_o divide_v the_o upper_a half_n of_o the_o glass_n globe_n from_o the_o under_o half_a when_o the_o axis_n stand_v parallel_n to_o the_o axis_n of_o the_o world_n by_o a_o circle_n draw_v round_o about_o the_o globe_n that_o circle_n shall_v represent_v the_o horizon_n and_o the_o meridian_n line_n draw_v on_o the_o globe_n shall_v be_v the_o hour_n line_n and_o have_v in_o the_o horizontal_n circle_n the_o same_o distance_n from_o the_o 12_o a_o clock_n line_n that_o the_o same_o respective_a hour_n line_n be_v find_v to_o have_v as_o by_o prob._n 3._o of_o this_o book_n but_o because_o the_o shadow_n of_o this_o axis_n will_v not_o be_v discern_v through_o the_o glass_n body_n therefore_o you_o may_v with_o water_n and_o white_a lead_n ground_n together_o lay_v a_o ground_n on_o the_o inside_n of_o the_o under_o half_a of_o the_o glass_n to_o the_o horizontal_n circle_n as_o looking-glass_n maker_n do_v their_o look_a glass_n with_o tinfoil_n for_o then_o the_o shadow_n will_v appear_v such_o a_o glass_n globe_n dyal_n have_v the_o lord_n robert_n titchborn_n stand_v in_o his_o garden_n support_v by_o atlas_n the_o end_n of_o the_o five_o book_n the_o six_o book_n show_v the_o practical_a use_n of_o the_o globe_n apply_v they_o to_o the_o solution_n of_o spherical_a triangle_n preface_n the_o solution_n of_o spherical_a triangle_n be_v to_o know_v the_o length_n of_o its_o side_n and_o the_o width_n of_o its_o angle_n these_o have_v already_o by_o many_o learned_a man_n be_v teach_v to_o be_v perform_v by_o a_o canon_n of_o sines_n and_o tangent_n and_o also_o by_o many_o instrument_n some_o serve_v as_o table_n of_o sines_n and_o tangent_n such_o as_o be_v the_o sector_n scale_n the_o spiral_n line_n etc._n etc._n and_o other_o serve_v to_o represent_v the_o globe_n such_o as_o be_v the_o mathematical_a jewel_n astrolabium_fw-la catholicum_fw-la and_o several_a other_o projection_n of_o the_o sphere_n but_o none_o have_v as_o yet_o teach_v the_o solution_n of_o spherical_a triangle_n by_o the_o globe_n itself_o though_o it_o be_v the_o most_o natural_a and_o most_o demonstrative_a way_n of_o all_o and_o indeed_o ought_v first_o to_o be_v learn_v before_o the_o learner_n enter_v upon_o any_o other_o way_n to_o this_o author_n of_o trigonometry_n agree_v for_o the_o most_o of_o they_o in_o their_o book_n give_v caution_n that_o the_o learner_n be_v already_o sufficient_o ground_v in_o the_o principle_n of_o the_o globe_n for_o those_o line_n or_o circle_n which_o either_o in_o table_n or_o other_o instument_n your_o force_n your_o imagination_n to_o conceive_v represent_v your_o line_n or_o circle_n in_o question_n those_o line_n and_o circle_n i_o say_v you_o have_v actual_o and_o natural_o describe_v on_o the_o globe_n and_o therefore_o may_v at_o a_o single_a operation_n or_o perhaps_o only_o by_o a_o sudden_a inspection_n have_v a_o answer_v annex_v according_a as_o the_o nature_n of_o your_o question_n shall_v require_v and_o that_o more_o copious_o then_o by_o table_n of_o sines_n and_o tangent_n for_o therein_o you_o find_v but_o one_o question_n at_o once_o resolve_v but_o by_o the_o globe_n you_o have_v always_o two_o resolve_v together_o of_o the_o part_n and_o kind_n of_o spherical_a triangle_n theorem_n 1._o all_o spherical_a triangle_n be_v make_v of_o six_o part_n three_o side_n and_o three_o angle_n the_o side_n be_v join_v together_o at_o the_o angles_n and_o measure_v by_o degree_n of_o a_o great_a circle_n from_o one_o end_n to_o the_o other_o the_o angles_n be_v the_o distance_n of_o the_o two_o join_a side_n and_o they_o be_v also_o measure_v by_o a_o arch_n of_o a_o circle_n describe_v on_o the_o angular_a point_n if_o any_o three_o of_o these_o part_n be_v know_v the_o rest_n may_v be_v find_v 2._o all_o spherical_a triangle_n be_v either_o right_o angle_v or_o oblique_a angle_a a_o right_a angle_n contain_v 90._o degree_n a_o oblique_a angle_n either_o more_o or_o less_o 3._o if_o a_o spherical_a triangle_n have_v one_o or_o more_o right_a angle_n it_o be_v call_v a_o right_o angle_v spherical_a triangle_n but_o if_o it_o have_v no_o right_a angle_n it_o be_v call_v a_o oblique_a angle_a spherical_a triangle_n 4._o if_o a_o oblique_a spherical_a triangle_n have_v one_o angle_n great_a than_o a_o right_a angle_n it_o be_v call_v a_o obtuse_a angle_a spherical_a triangle_n but_o if_o it_o have_v no_o angle_n great_a it_o be_v call_v a_o acute_a angle_a spherical_a triangle_n 5._o in_o right_o