Selected quad for the lemma: earth_n

Word A	Word B	Word C	Word D	Occurrence	Frequency Band	MI	MI Band	Prominent
earth_n	north_n	pole_n	south_n	3,753	5	10.5697	5	false

Text snippets containing the quad

ID	Title	Author	Corrected Date of Publication (TCP Date of Publication)	STC	Words	Pages
A08349	A mathematicall apendix,[sic] containing many propositions and conclusions mathematicall: with necessary obseruations both for mariners at sea, and for cherographers and surueyors of land; together with an easie perspectiue mechanicall way, to deline at sunne dyalls vpon any wall or plane giuen, be it direct, inclyning, declyning, or reclyning, for the horizon, or meridian, in any region or place of knovvne latitude. With other things pleasant and profitable for the weale publick, not heretofore extant in our vulgar: partly collected out of foreigne moderne writers, and partlie inuented and practised by the author. Written by R.N. Gent.	Norton, Robert, d. 1635.	1604 (1604)	STC 18675; ESTC S119965	19,791	52

they_o can_v practise_v to_o launch_v it_o into_o the_o water_n archimedes_n that_o excellent_a mathematician_n cause_v this_o engine_n to_o be_v frame_v whereby_o the_o king_n himself_o do_v with_o one_o hand_n lift_v up_o the_o say_a mighty_a vessel_n from_o the_o earth_n and_o set_v it_o into_o the_o sea_n which_o although_o many_o aswell_o historiographer_n as_o other_o have_v in_o their_o work_n mention_v yet_o none_o have_v hitherto_o set_v down_o the_o perfect_a frame_v thereof_o save_v only_o the_o learned_a besson_n who_o ha●●_n thus_o leave_v it_o unto_o posterity_n the_o tripaston_n for_o so_o 〈◊〉_d name_v it_o may_v be_v compose_v of_o as_o many_o wheel_n and_o screw_n to_o turn_v those_o wheel_n as_o you_o wi●●_n but_o of_o four_o of_o each_o at_o the_o least_o the_o first_o screw_n must_v have_v a_o handle_n to_o turn_v about_o like_o the_o handle_n of_o a_o handmyll_n or_o grind_v stone_n and_o so_o fit_v as_o be_v turn_v round_o it_o may_v also_o turn_v the_o first_o wheel_n by_o mean_n of_o the_o oblique_a swell_n of_o the_o same_o screw_n fall_v between_o the_o tooth_n or_o clog_n of_o the_o say_v first_o wheel_n which_o tooth_n must_v be_v so_o many_o in_o number_n as_o may_v be_v proportional_a to_o the_o strength_n you_o will_v multiply_v by_o the_o same_o the_o axletree_n of_o the_o first_o wheel_n must_v have_v upon_o the_o same_o a_o second_o screw_n which_o may_v in_o like_a manner_n and_o proportion_n turn_v a_o second_o wheel_n and_o that_o second_o a_o third_o which_o three_o a_o fowerth_o and_o so_o infinite_o at_o pleasure_n now_o if_o the_o first_o screw_n by_o the_o handle_n be_v turn_v about_o 20._o time_n to_o the_o turn_n of_o the_o first_o wheel_n once_o i_o affirm_v that_o the_o say_v first_o wheel_n will_v lift_v up_o as_o much_o poise_n or_o burden_n as_o the_o strength_n of_o 20._o man_n will_v extend_v unto_o have_v a_o cord_n fasten_v to_o the_o same_o and_o to_o the_o axletree_n of_o the_o say_v first_o wheel_n and_o a_o 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support_v his_o say_a engine_n and_o thereupon_o make_v this_o problem_n datum_n pondus_fw-la datis_fw-la veribus_fw-la movere_fw-la but_o here_o may_v some_o make_v question_n if_o the_o slowenesse_n of_o this_o engine_n can_v by_o some_o artificial_a mean_n be_v hasten_v to_o which_o i_o answer_v it_o may_v by_o take_v away_o one_o or_o two_o of_o the_o last_o wheel_n screw_n and_o axis_n and_o in_o their_o place_n so_o use_v common_a pulley_n whereof_o vitrwius_fw-la write_v in_o his_o ten_o book_n and_o three_o chapter_n which_o pappus_n in_o his_o annotation_n upon_o the_o mechanic_n of_o archimedes_n affirm_v to_o have_v also_o infinite_a force_n with_o great_a celerity_n thus_o much_o may_v suffice_v for_o the_o frame_n of_o this_o engine_n who_o benefit_n may_v be_v extend_v to_o infinite_a necessary_a use_n only_o i_o will_v here_o demonstrate_v in_o the_o figure_n follow_v the_o form_n of_o the_o say_v screwes_n and_o wheel_n brief_a exposition_n of_o the_o geometrical_a and_o astronomical_a term_n mention_v in_o this_o treatise_n a_o line_n be_v a_o length_n without_o breadth_n or_o deepness_n lyne_n a_o superficies_n or_o surface_n have_v only_a length_n and_o breadth_n without_o deepness_n surface_n a_o plane_n be_v equal_o flat_a contain_v within_o line_n plane_n and_o do_v not_o bulk_n out_o or_o shrink_v in_o at_o any_o place_n and_o be_v say_v to_o be_v represent_v when_o a_o like_a figure_n have_v a_o absolute_a like_o situation_n and_o constitution_n a_o angle_n be_v the_o concourse_n of_o two_o or_o more_o several_a line_n in_o one_o same_o point_n angle_n and_o be_v give_v when_o the_o degree_n of_o the_o subtend_a arch_n thereof_o be_v know_v a_o right_a or_o square_a angle_n right_o angle_n be_v when_o two_o line_n fall_v square_a one_o upon_o another_o make_v all_o the_o angle_n frame_v thereby_o equal_a a_o sharp_a or_o acute_a angle_n sharp_a angle_n be_v any_o angle_n that_o be_v less_o than_o a_o square_a angle_n a_o blunt_n or_o obtuse_a angle_n blunt_a angle_n be_v any_o angle_n that_o be_v great_a than_o a_o right_n or_o square_a angle_n a_o triangle_n be_v a_o figure_n of_o three_o corner_n or_o angle_n triangle_n and_o be_v give_v when_o the_o quantity_n of_o all_o the_o angle_n and_o side_n be_v know_v a_o circle_n be_v a_o round_a figure_n circle_n make_v by_o the_o turn_n of_o a_o line_n upon_o a_o point_n fix_v the_o circumference_n of_o a_o circle_n be_v the_o outmost_a edge_n or_o limb_n of_o the_o circle_n circumference_n be_v in_o all_o place_n equidistant_a from_o the_o aforesaid_a fix_a point_n any_o part_n of_o a_o circumference_n be_v a_o arch_n a_o arch_n be_v give_v arch_n when_o the_o degree_n contain_v therein_o be_v know_v the_o centre_n be_v a_o point_n in_o the_o midst_n of_o a_o circle_n centre_n globe_n or_o sphere_n the_o dyametre_n of_o a_o circle_n be_v the_o long_a straight_a line_n that_o can_v be_v draw_v within_o a_o circle_n diametre_fw-la and_o it_o pass_v through_o the_o centre_n from_o side_n to_o side_n semidiametre_n the_o half_a thereof_o be_v the_o semidiametre_n a_o great_a circle_n be_v that_o which_o divide_v the_o world_n into_o two_o equal_a part_n great_n circle_n the_o edge_n or_o limb_n thereof_o contain_v 360._o equal_a part_n or_o degree_n degree_n a_o degree_n be_v therefore_o 1_o 360_o part_n of_o a_o circle_n the_o aequator_fw-la or_o aequinoctial_a be_v a_o great_a circle_n equinoctial_a gird_v the_o world_n in_o the_o midst_n between_o the_o two_o pole_n the_o zodiac_n be_v a_o great_a circle_n broad_a and_o slopewise_o situate_a zodiack_n bear_v the_o 12_o sign_n in_o the_o midst_n of_o which_o circle_n be_v a_o line_n call_v the_o ecliptic_a ecliptic_a from_o which_o the_o sun_n never_o swerve_v the_o meridian_n be_v a_o great_a circle_n pass_v through_o the_o zenith_n and_o pole_n of_o the_o world_n meridian_n be_v always_o permanent_a though_o the_o sphere_n be_v move_v the_o horizon_n be_v a_o great_a circle_n horizon_n divide_v the_o world_n according_a to_o sense_n into_o 2_o equal_a part_n viz_n the_o superior_a see_v or_o diurnal_a hemisphere_n and_o the_o inferior_a unseen_a or_o nocturnal_a hemisphere_n azimuthe_n azimuthes_n or_o circle_n vertical_a be_v great_a circle_n and_o pass_v through_o the_o zenith_n intersect_v the_o horizon_n with_o right_a angle_n almicanterathe_n or_o circle_n of_o altitude_n almicantare_v be_v circle_n parallel_v to_o the_o horizon_n and_o be_v great_a be_v near_o the_o horizon_n and_o least_o be_v near_o the_o zenith_n the_o axis_n or_o axletree_n of_o the_o world_n axletree_n be_v a_o line_n suppose_v to_o pass_v through_o the_o centre_n of_o the_o earth_n the_o extreme_n or_o end_n of_o which_o line_n be_v the_o pole_n of_o the_o world_n viz_n the_o north_n end_v the_o pole_n arctic_a and_o the_o south_n end_v the_o aniartick_fw-ge there_o be_v north_n latitude_n and_o south_n latitude_n of_o place_n latitude_n of_o place_n for_o all_o place_n between_o the_o equinoctial_a and_o the_o north_n pole_n have_v north_n latitude_n and_o between_o the_o equinoctial_a and_o the_o south_n pole_n have_v south_n latitude_n the_o longitude_n of_o the_o earth_n be_v as_o the_o circuit_n of_o the_o equator_fw-la in_o the_o heaven_n longitude_n of_o place_n and_o be_v divide_v into_o 360_o even_a part_n or_o degree_n any_o two_o place_n be_v less_o than_o 180_o degree_n distant_a have_v one_o same_o longitude_n if_o they_o be_v under_o one_o same_o meridian_n otherwise_o they_o have_v different_a longitude_n any_o two_o place_n have_v like_o latitude_n be_v both_o north_n or_o both_o south_n latitude_n be_v in_o one_o same_o parallel_n the_o vertical_a point_n or_o zenith_n be_v a_o point_n in_o heaven_n direct_o over_o our_o head_n zenith_n and_o be_v the_o centre_n or_o pole_n of_o the_o horizon_n the_o oposite_a point_n be_v the_o nadire_fw-la 〈…〉_o nadir_n the_o paralax_n or_o difference_n of_o asp●●●_n 〈◊〉_d a_o comet_n planet_n or_o other_o luminary_n paralax_n be_v the_o angle_n 〈…〉_o intersection_n of_o the_o line_n of_o the_o true_a place_n 〈…〉_o place_n thereof_o reckon_v in_o the_o firmament_n finis_fw-la fault_n escape_v in_o the_o original_a copy_n itself_o page_n 10._o in_o the_o line_n of_o the_o figure_n a_o c_o write_v g_o at_o the_o upper_a end_n of_o the_o arch_n d_o and_o at_o the_o star_n *_o write_v q._n and_o page_n 11._o line_n 10_o for_o as_o the_o arch_n e_o c_o do_v at_v e_o read_v as_o the_o arch_n b_o c_o do_v at_v b_o and_o in_o l._n 15_o for_o point_n e_o read_v point_n b_o and_o l._n 26_o for_o side_n a_o c_o on_o c_o read_v a_o q_o on_o q_n and_o 1._o 27_o for_o side_n a_o c_o at_o the_o point_n a_o read_v side_n a_o q_o at_o the_o point_n d._n and_o page_n 12._o l._n 1_o for_o the_o point_n a_o of_o the_o line_n a_o c_o read_v the_o point_n g_o of_o the_o line_n a_o qui_fw-fr and_o l._n 2_o for_o arch_n a_o d_o which_o will_v fall_v in_o e_o read_v arch_n g_o d_o which_o will_v fall_v in_o d_o l._n 3_o for_o from_o c_o read_v from_o q._n l._n 4._o for_o point_n e_o read_v point_n d_o l._n 6_o for_o angle_n a_o k_o c_o read_v a_o k_o q._n