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Word A Word B Word C Word D Occurrence Frequency Band MI MI Band Prominent
world_n circle_n point_n pole_n 2,440 5 11.6304 5 false
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ID Title Author Corrected Date of Publication (TCP Date of Publication) STC Words Pages
A31232 The English globe being a stabil and immobil one, performing what the ordinary globes do, and much more / invented and described by the Right Honorable, the Earl of Castlemaine ; and now publish't by Joseph Moxon ... Castlemaine, Roger Palmer, Earl of, 1634-1705.; Moxon, Joseph, 1627-1691. 1679 (1679) Wing C1242; ESTC R3787 128,382 169

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must_v know_v ourselves_o and_o so_o be_v all_o other_o people_n and_o place_n of_o the_o world_n that_o be_v in_o neither_o of_o the_o two_o former_a one_o for_o take_v any_o point_n not_o under_o the_o pole_n or_o the_o aequator_fw-la for_o your_o zenith_n and_o it_o will_v be_v impossible_a to_o describe_v a_o horizon_n or_o circle_n 90_o degree_n from_o it_o which_o cut_v not_o the_o aequator_fw-la and_o all_o its_o parallel_n oblique_o it_o be_v this_o obliquity_n then_o that_o give_v name_n to_o the_o position_n and_o it_o be_v this_o that_o make_v the_o great_a inequality_n in_o day_n and_o night_n for_o if_o the_o horizon_n have_v a_o great_a portion_n of_o one_o diurnal_a parallel_n above_o it_o than_o of_o another_o as_o it_o must_v needs_o have_v by_o its_o slant_v it_o will_v follow_v when_o the_o sun_n be_v in_o such_o a_o parallel_n that_o the_o day_n will_v be_v long_o than_o when_o the_o portion_n be_v less_o and_o consequent_o since_o more_o of_o one_o parallel_n be_v 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their_o fame_n among_o the_o modern_n they_o be_v dia-meroes_a dia-syenes_a dia-alexandrias_a dia-rhodou_a dia-romes_n dia-boristheneos_a and_o dia-riphoeon_a be_v all_o name_n make_v by_o the_o addition_n of_o the_o greek_a preposition_n 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d i._n e._n per_fw-la to_o some_o remarkable_a town_n river_n or_o place_n through_o which_o the_o middle_a of_o each_o clime_n past_o so_o that_o the_o middle_n of_o the_o first_o go_v through_o meroe_n a_o ethiopian_a city_n on_o the_o nile_n where_o according_a to_o some_o queen_n candace_n reign_v the_o second_o through_o syene_n in_o egypt_n lie_v just_a under_o the_o tropic_a the_o three_o through_o alexandria_n the_o four_o through_o the_o isle_n of_o rhodes_n the_o five_o through_o rome_n the_o six_o through_o the_o mouth_n of_o boristhenes_n now_o call_v nieper_n by_o the_o cossack_n and_o the_o other_o inhabitant_n and_o the_o seven_o and_o last_o through_o the_o riphoean_a hill_n part_n of_o which_o lie_v 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name_n of_o the_o aforesaid_a old_a clime_n and_o that_o you_o may_v also_o see_v without_o calculation_n or_o trouble_v where_o the_o ancient_n place_v they_o i_o have_v set_v down_o the_o first_o syllable_n of_o their_o name_n as_o mer._n sy._n al._n etc._n etc._n according_a to_o their_o respective_a latitude_n to_o find_v then_o in_o what_o clime_n any_o place_n be_v v._n g._n constantinople_n lie_v you_o be_v only_o to_o draw_v your_o string_n from_o the_o pole_n over_o that_o city_n and_o mount_v up_o the_o bead_n thither_o to_o move_v it_o to_o the_o say_v primary_n circle_n of_o longitude_n and_o it_o will_v lie_v on_o the_o clime_n or_o parallel_v require_v but_o if_o you_o will_v know_v what_o place_n be_v suppose_v under_o the_o four_o clime_n throu'out_v the_o world_n i._n e._n what_o place_n have_v their_o long_a day_n just_a 14._o hour_n fix_v the_o bead_n on_o the_o four_o clime_n and_o move_v it_o on_o its_o noose_n from_o the_o pole_n round_o the_o globe_n you_o may_v conclude_v that_o every_o place_n it_o pass_v over_o have_v the_o sun_n exact_o so_o long_o above_o the_o horizon_n when_o the_o day_n be_v at_o the_o long_a and_o in_o the_o same_o manner_n you_o must_v proceed_v on_o the_o south_n of_o the_o aequator_fw-la to_o find_v the_o country_n that_o lie_v under_o the_o four_o southern_a clime_n clime_n in_o short_a here_o we_o have_v beside_o what_o have_v be_v already_o say_v a_o view_n not_o only_o of_o the_o strange_a inequality_n of_o the_o clime_n especial_o between_o the_o first_o and_o last_o but_o also_o of_o their_o exact_a distance_n in_o degree_n and_o consequent_o in_o miles_n by_o help_n of_o our_o table_n of_o reduction_n mention_v in_o the_o first_o 23._o operation_n of_o this_o section_n but_o see_v we_o be_v a_o little_a fall_v into_o speculation_n it_o will_v not_o zone_n be_v perchance_o improper_a to_o proceed_v yet_o further_o and_o to_o consider_v here_o as_o in_o a_o natural_a and_o fit_a place_n the_o bound_n and_o term_n of_o the_o five_o zone_n so_o call_v from_o 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d cingulum_n as_o enclose_v the_o whole_a world_n within_o their_o respective_a district_n it_o be_v with_o the_o torrid_a amphiscii_n one_o we_o will_v then_o begin_v who_o bound_n be_v the_o two_o tropic_n so_o that_o the_o diurnal_a parallel_n not_o only_o remarkable_o distinguish_v it_o from_o the_o other_o zone_n but_o show_v why_o the_o several_a inhabitant_n within_o this_o space_n be_v call_v by_o the_o ancient_n amphiscii_n i._n e._n utrinque_fw-la umbrati_fw-la or_o man_n that_o have_v two_o shadow_n from_o 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d vtrinquè_fw-fr &_o 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d vmbra_fw-la nay_o by_o the_o say_a parallel_n you_o may_v find_v when_o the_o shade_n will_v change_v and_o be_v different_a for_o since_o by_o these_o path_n or_o trace_n the_o sun_n as_o we_o often_o hint_v
the_o whole_a triangle_n io_o π_n be_v because_o their_o top_n be_v part_n of_o the_o line_n o_o π_n which_o be_v the_o only_a side_n of_o the_o say_a triangle_n that_o show_v the_o hour_n as_o we_o mention_v before_o now_o for_o the_o demonstration_n of_o all_o it_o follow_v in_o the_o next_o operation_n operation_n ii_o how_o to_o describe_v a_o horizontal_n dial_n by_o the_o globe_n for_o the_o elevation_n of_o london_n the_o second_o way_n describe_v a_o circle_n of_o what_o bigness_n you_o please_v and_o draw_v a_o construction_n meridian_n or_o 12_o a_o clock_n line_n throu_fw-fr '_o it_o as_o before_z then_o count_v in_o the_o horizon_n of_o your_o globe_n how_o many_o degree_n there_o be_v between_o the_o hour-circle_n of_o 12_o and_o 1_o or_o which_o be_v the_o same_o thing_n between_o 12_o and_o 11_o and_o you_o will_v find_v their_o number_n to_o be_v about_o 11._o 40′_n these_o place_n on_o both_o side_n of_o your_o say_a meridian_n line_n by_o the_o help_n of_o a_o quadrant_n or_o line_n of_o chord_n and_o they_o will_v give_v you_o if_o you_o lay_v your_o ruler_n as_o before_o on_o the_o centre_n the_o 11_o and_o 1′_n a_o clock_n hour_n line_n of_o your_o dial_n to_o wit_n the_o distance_n from_o i_o to_o k_o and_o from_o i_o to_o h_o as_o may_v be_v see_v in_o the_o aforesaid_a three_o scheme_n proceed_v then_o in_o this_o manner_n as_o to_o the_o rest_n of_o the_o hour_n line_n and_o for_o your_o style_n and_o substilar_n the_o former_a direction_n be_v sufficient_a the_o demonstration_n or_o reason_n why_o these_o dial_n show_n the_o demonstration_n hour_n be_v not_o difficult_a for_o if_o you_o consider_v your_o globe_n you_o will_v see_v that_o all_o it_o hour_n circle_n be_v equal_o distant_a from_o each_o other_o and_o that_o the_o axis_n of_o the_o world_n of_o which_o the_o two_o pole_n be_v the_o extremity_n lie_v in_o the_o middle_n of_o they_o and_o be_v in_o truth_n a_o part_n of_o each_o as_o be_v the_o common_a section_n of_o 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the_o angle_n only_o of_o half_a the_o value_n of_o the_o arch_n or_o real_a distance_n between_o the_o two_o object_n i._n e._n between_o the_o say_v opposite_a pole_n and_o point_n now_o since_o any_o diameter_n on_o the_o plane_n of_o the_o aequator_fw-la for_o that_o or_o some_o parallel_n circle_n to_o it_o we_o now_o suppose_v to_o be_v the_o plane_n of_o our_o present_a projection_n meet_v with_o those_o ray_n will_v be_v the_o tangent_fw-la of_o the_o angle_n they_o make_v which_o be_v in_o value_n as_o we_o say_v but_o half_a the_o real_a distance_n between_o the_o say_a object_n it_o must_v need_n follow_v if_o any_o star_n or_o point_n in_o the_o heaven_n be_v distant_a from_o this_o opposite_a pole_n suppose_v 20._o degree_n that_o the_o tangent_fw-la of_o 10_o degree_n from_o the_o centre_n of_o the_o projection_n which_o represent_v the_o say_a pole_n give_v its_o true_a apparrent_v place_n there_o and_o the_o like_a be_v to_o be_v say_v of_o any_o other_o distance_n i_o 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the_o concentric_a circle_n of_o the_o first_o plane_n to_o wit_n the_o circle_n aequator_fw-la the_o tropic_n and_o the_o limb_n which_o be_v as_o i_o say_v circulus_fw-la maximus_fw-la semper_fw-la latentium_fw-la or_o some_o parallel_n to_o it_o there_o be_v no_o difficulty_n in_o describe_v they_o for_o have_v draw_v at_o right_a angle_n the_o line_n n_n and_o ewe_n represent_v the_o four_o cardinal_n point_n throu'p_v the_o centre_n or_o project_v pole_n if_o you_o open_v your_o compass_n at_o the_o tangent_fw-la of_o 45_o degree_n and_o place_v one_o foot_n on_o the_o say_a p_o you_o must_v needs_o project_v the_o aequator_fw-la because_o be_v distant_a from_o either_o pole_n 90_o degree_n the_o ray_n that_o touch_v it_o and_o that_o which_o run_v along_o the_o axis_n to_o the_o opposite_a or_o north_n pole_n make_v a_o angle_n at_o your_o eye_n as_o we_o say_v before_o of_o only_o half_a so_o much_o in_o like_a manner_n the_o tropic_a of_o cancer_n be_v 66_o g._n 30_o m._n from_o this_o pole_n the_o tangent_fw-la of_o 33_o g._n 15_o m._n give_v his_o radius_fw-la as_o the_o tangent_fw-la of_o 56._o g._n 45_o m._n do_v capricorn_n who_o real_a distance_n from_o the_o say_a pole_n be_v 113_o g._n 30_o m._n for_o it_o lie_v 47_o degree_n beyond_o the_o former_a tropic_n and_o last_o the_o tangent_fw-la of_o 64_o g._n 15_o m._n project_n the_o limb_n or_o uttermost_a circle_n if_o it_o be_v circulus_fw-la maximus_fw-la super_fw-la latentium_fw-la as_o be_v yet_o 15_o degree_n further_o for_o the_o true_a distance_n of_o that_o circle_n from_o the_o say_a pole_n 128_o degree_n and_o 30_o minute_n now_o for_o the_o main_a matter_n to_o wit_n the_o great_a circle_n which_o fall_v circle_n oblique_o on_o the_o plane_n take_v this_o easy_a general_a rule_n for_o they_o all_o viz._n that_o their_o centre_n be_v distant_a from_o the_o centre_n of_o the_o projection_n the_o tangent_fw-la of_o as_o many_o degree_n as_o their_o pole_n be_v distant_a from_o the_o pole_n of_o the_o plane_n on_o which_o the_o projection_n be_v make_v that_o be_v to_o say_v in_o our_o present_a case_n from_o the_o north-pole_n of_o the_o world_n and_o the_o secant_fw-la of_o the_o say_a degree_n be_v their_o radius_fw-la suppose_v than_o you_o be_v to_o project_v v._n g._n the_o ecliptic_a which_o ecliptic_a be_v the_o only_a oblique_a circle_n of_o your_o first_o plane_n you_o know_v that_o its_o northern_a pole_n be_v in_o your_o meridian_n be_v distant_a from_o the_o north_n pole_n of_o the_o world_n 23_o g._n 30_o m._n open_v therefore_o your_o compass_n at_o the_o tangent_fw-la of_o those_o degree_n and_o place_v one_o foot_n in_o p_o and_o the_o other_o will_v give_v you_o in_o the_o line_n pn_n the_o northern_a half_n of_o the_o meridian_n of_o your_o plane_n or_o in_o the_o line_n ps_n the_o southern_a half_n of_o the_o say_a meridian_n the_o point_n d_o for_o the_o require_v centre_n d_o then_o be_v the_o centre_n open_v but_o your_o compass_n at_o the_o secant_fw-la of_o the_o say_a degree_n and_o you_o have_v the_o radius_fw-la nay_o the_o distance_n from_o d_o to_z e_z or_o from_o d_o to_z w_z the_o east_n and_o west_n point_v of_o the_o aequator_fw-la or_o point_n where_o the_o ecliptic_a intersect_v with_o the_o aequator_fw-la on_o the_o sphere_n give_v this_o secant_fw-la for_o if_o pd_v be_v the_o tangent_fw-la of_o 23_o g._n 30_o m._n then_o d_o e_z and_o d_o w_z be_v you_o see_v the_o secant_v but_o before_o we_o demonstrate_v the_o aforesaid_a rule_n let_v we_o make_v a_o end_n with_o the_o great_a oblique_a circle_n of_o the_o transparent_a or_o second_o plane_n which_o be_v only_o the_o horizon_n hr_v and_o the_o azimuth_n of_o every_o 10_o degree_n express_v as_o i_o say_v by_o plain_a prick_n and_o
mary_n and_o st._n michael_n 2_o isle_n of_o the_o azore_n for_o true_o thus_o it_o suit_v best_o according_a to_o my_o table_n with_o the_o 2_o a_o clock_n circle_n as_o his_o lordship_n will_v have_v it_o do_v a_o advertisement_n because_o there_o be_v several_a who_o either_o want_n time_n or_o patience_n to_o go_v throu_fw-fr '_o the_o whole_a treatise_n i_o here_o present_a the_o reader_n with_o a_o catalogue_n of_o the_o operation_n which_o be_v most_o please_a and_o suitable_a to_o the_o fancy_n and_o humour_n of_o such_o and_o which_o they_o may_v easy_o in_o a_o day_n or_o two_o learn_v especial_o if_o they_o have_v a_o master_n to_o help_v they_o 1._o to_o set_v the_o globe_n level_v pag._n 4._o 2._o to_o compose_v the_o globe_n p._n 8._o 3._o to_o know_v the_o day_n of_o the_o month._n p._n 9_o 4._o to_o take_v the_o sun_n height_n above_o our_o horizon_n when_o he_o shine_v out_o clear_a and_o also_o when_o he_o shine_v dim_o and_o be_v overcloud_v p._n 5._o and_o 6._o 5._o to_o find_v the_o sun_n azimuth_n and_o bear_v p._n 10_o and_o 12._o 6._o to_o know_v the_o hour_n several_a way_n p._n 13._o 7._o to_o know_v at_o what_o hour_n the_o sun_n rise_v or_o set_v p._n 16._o 8._o to_o know_v what_o a_o clock_n it_o be_v all_o the_o world_n over_o p._n 31._o 9_o to_o find_v where_o it_o be_v day_n and_o where_o it_o be_v night_n all_o the_o world_n over_o p._n 33._o 10._o to_o find_v where_o at_o that_o moment_n they_o have_v nothing_o but_o day_n and_o where_o nothing_o but_o night_n as_o also_o when_o this_o happen_v in_o any_o place_n subject_n to_o this_o alteration_n p._n 33._o 11._o to_o find_v the_o sun_n be_v present_a height_n and_o depression_n all_o the_o world_n over_o if_o he_o shine_v p._n 37._o 12._o to_o find_v where_o the_o sun_n be_v rise_v and_o set_v all_o the_o world_n over_o p._n 34._o 13._o to_o find_v what_o people_n have_v then_o the_o sun_n vertical_a or_o over_o their_o head_n p._n 35._o 14._o to_o know_v where_o they_o be_v rise_v where_o they_o be_v go_v to_o dinner_n where_o to_o supper_n and_o where_o to_o bed_n all_o the_o world_n over_o p._n 35._o 15._o to_o find_v how_o much_o any_o people_n if_o it_o be_v day_n with_o they_o be_v past_a morning_n or_o want_v of_o evening_n and_o if_o it_o be_v night_n with_o they_o how_o much_o they_o be_v past_a evening_n and_o want_n of_o morning_n and_o consequent_o the_o babilonish_a and_o italian_a hour_n all_o the_o world_n over_o p._n 36._o 16._o to_o know_v the_o judaic_a hour_n p._n 39_o 17._o to_o find_v in_o what_o clime_n any_o place_n lie_v p._n 26._o 18._o to_o know_v in_o any_o lunar_a eclipse_n what_o country_n see_v it_o whole_o what_o in_o part_n and_o what_o not_o at_o all_o as_o also_o the_o true_a hour_n which_o each_o people_n see_v she_o at_o in_o her_o several_a affection_n with_o her_o continual_a height_n azimuth_n and_o bear_v all_o the_o while_n p._n 59_o 19_o to_o represent_v the_o several_a phase_n of_o the_o moon_n p._n 61._o 20._o to_o find_v the_o proportion_n between_o any_o perpendicular_a and_o its_o shade_n p._n 65._o 21._o to_o take_v the_o height_n of_o a_o tower_n by_o the_o globe_n p._n 66._o 22._o to_o do_v it_o seem_o without_o any_o instrument_n p._n 66._o 23._o to_o know_v the_o hour_n by_o your_o stick_n p._n 67._o 24._o to_o learn_v present_o how_o to_o make_v all_o the_o 5_o dial_n of_o a_o cube_n to_o wit_n that_o on_o its_o 73._o horizontal_n that_o on_o its_o direct_a 80._o south_n that_o on_o its_o direct_a 82._o north_n that_o on_o its_o direct_a 85._o east_n and_o that_o on_o its_o direct_a west_n plane_n though_o a_o man_n be_v never_o so_o unacquainted_a with_o mathematics_n 25._o to_o represent_v at_o any_o time_n the_o posture_n of_o the_o heaven_n in_o relation_n to_o the_o appear_v fix_v star_n and_o consequent_o to_o find_v the_o present_a hour_n with_o the_o height_n azimuth_n and_o bear_v of_o any_o star_n as_o also_o the_o time_n of_o its_o rise_n set_v and_o continuance_n both_o above_o and_o below_o the_o horizon_n p._n 138._o the_o general_a head_n 1._o the_o figure_n or_o delineation_n of_o this_o globe_n as_o also_o a_o account_n of_o it_o and_o the_o occasion_n of_o its_o invention_n together_o with_o a_o catalogue_n of_o the_o operation_n fit_a for_o those_o that_o can_v run_v over_o the_o whole_a treatise_n be_v contain_v in_o the_o unfigured_a or_o precede_a page_n 2._o the_o introduction_n begin_v pag._n 1._o 3._o the_o first_o section_n solve_v the_o question_n which_o relate_v to_o the_o sun_n in_o our_o elevation_n p._n 4._o 4._o the_o second_o section_n resolve_v the_o operation_n that_o concern_v geography_n and_o the_o sun_n all_o the_o world_n over_o p._n 20._o 5._o the_o three_o section_n concern_v the_o moon_n p._n 48._o 6._o the_o four_o section_n relate_v to_o perpendicular_o and_o their_o shade_n p._n 64._o 7._o the_o five_o section_n treat_v of_o dial_v p._n 70._o the_o figure_n of_o the_o globe_n fit_v for_o a_o garden_n or_o open_a 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pass_v from_o tropic_a to_o tropic_n it_o be_v evident_a that_o sometime_o he_o must_v be_v on_o the_o northside_n and_o sometime_o on_o the_o southside_n of_o all_o that_o live_v here_o which_o must_v then_o needs_o alter_v the_o shadow_n and_o as_o for_o know_v here_o the_o time_n of_o this_o change_n we_o be_v only_o to_o consult_v the_o day_n of_o the_o month_n on_o each_o parallel_n for_o that_o which_o pass_v over_o the_o head_n of_o the_o propose_a inhabitant_n show_v that_o from_o that_o time_n to_o the_o 11._o of_o june_n or_o the_o sun_n be_v come_v to_o cancer_n and_o so_o till_o he_o come_v again_o to_o be_v vertical_a their_o shade_n will_v be_v full_a south_n at_o noon_n whereas_o from_o his_o say_a vertical_a station_n to_o the_o 11._o of_o december_n when_o that_o he_o enter_v into_o capricorn_n and_o so_o till_o he_o come_v again_o to_o they_o their_o shadow_n will_v be_v direct_o north._n from_o this_o torrid_a and_o hot_a residence_n we_o will_v now_o run_v to_o 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