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Word A Word B Word C Word D Occurrence Frequency Band MI MI Band Prominent
reason_n angle_n equal_a side_n 2,221 5 9.5367 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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will_v the_o now_o radius_fw-la rm_n be_v to_o the_o several_a degree_n in_o its_o tangent_fw-la line_n as_o for_o the_o demonstration_n or_o reason_n of_o this_o dial_n every_o body_n demonstration_n that_o understand_v gnomonics_n comprehend_v it_o i_o doubt_v not_o at_o the_o first_o sight_n for_o the_o angle_n o_o in_o the_o triangle_n koa_n be_v by_o construction_n equal_a to_o the_o elevation_n do_v but_o place_v the_o base_a ao_o on_o a_o meridian_n line_n and_o if_o you_o consider_v the_o side_n quoth_fw-mi as_o the_o indicating_z side_n of_o the_o style_n or_o cock_n it_o necessary_o follow_v that_o it_o will_v represent_v the_o axis_n of_o the_o world_n for_o it_o be_v evident_a that_o its_o top_n k_o will_v point_v direct_o to_o the_o pole_n and_o touch_v it_o if_o produce_v whilst_o o_o its_o other_o extremity_n pass_v throu_fw-fr '_o the_o centre_n of_o the_o horizontal_n plane_n therefore_o if_o a_o circle_n who_o radius_fw-la be_v all_o be_v so_o place_v on_o this_o 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whereabout_o he_o be_v you_o will_v be_v able_a to_o guess_v the_o hour_n without_o any_o sensible_a error_n for_o the_o say_a brightness_n appear_v on_o the_o bowl_n will_v be_v proportionable_o distant_a from_o the_o sun_n be_v true_a place_n there_o as_o it_o be_v from_o the_o sun_n in_o the_o heaven_n it_o be_v clear_a that_o the_o sun_n picture_n must_v fall_v if_o any_o where_o on_o the_o demonstration_n true_a hour-circle_n because_o by_o compose_v the_o bowl_n according_a to_o the_o true_a position_n of_o the_o heaven_n the_o hour-circle_n of_o the_o one_o concur_v with_o the_o other_o and_o fall_v exact_o in_o the_o same_o plane_n therefore_o be_v your_o eye_n in_o the_o centre_n of_o the_o bowl_n its_o true_a
the_o rest_n sch._n 3._o sch._n 4._o sch._n 5._o sch._n 6_o sch._n 10._o sch._n 7._o sch._n 9_o sch._n 8._o sch._n 11._o sch._n 12._o sch._n 13_o sch._n 14._o sch._n 15._o sch._n 16._o sch._n 17_o sch._n 18._o sch._n 19_o sch._n 20._o sch._n 21._o sch._n 22._o sch._n 23._o sch._n 25._o sch._n 26._o sch._n 27_o sch._n 24_o sch._n 28_o sch._n 31_o sch._n 32_o sch._n 33_o sch._n 34_o sch._n 35._o sch._n 36._o sch._n 37._o sch._n 39_o sch._n 38_o sch._n 41_o sch._n 42_o sch._n 34_o operation_n i._n before_o you_o proceed_v further_o you_o must_v know_v reader_n that_o the_o printer_n memorandum_n skip_v a_o line_n in_o the_o last_o paragraph_n and_o then_o adjust_v the_o number_n of_o planes_n to_o those_o he_o find_v express_v have_v leave_v out_o two_o so_o that_o the_o before_o mention_v principal_a plane_n be_v 7_o viz._n the_o horizontal_n plane_n the_o direct_a vertical_a plane_n the_o decline_a vertical_a plane_n the_o direct_a recline_a plane_n the_o direct_a incline_v plane_n 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circle_n to_o wit_n i_o p_o t_o c_o as_o in_o scheme_n three_o draw_v a_o fair_a line_n it_o any_o how_o throu_fw-fr '_o the_o centre_n o_o for_o your_o meridian_n or_o 12_o a_o clock_n hour_n line_n and_o by_o the_o way_n remember_v that_o in_o the_o fabric_n of_o this_o dial_n you_o place_v the_o point_n i_o ever_o towards_o you_o and_o t_n far_a from_o you_o to_o the_o end_n you_o mistake_v not_o when_o direct_v to_o this_o or_o that_o hand_n have_v then_o proceed_v thus_o far_o put_v one_o foot_n of_o your_o compass_n on_o the_o meridian_n or_o according_a to_o the_o polar_a figure_n the_o 12_o a_o clock_n circle_n of_o your_o globe_n where_o it_o cut_v the_o horizon_n and_o the_o other_o foot_n on_o the_o 1_o a_o clock_n circle_n and_o mark_v this_o distance_n in_o the_o blind_a circle_n from_o i_o towards_o the_o left_a hand_n to_o wit_n from_o i_o to_o k_o and_o it_o will_v give_v you_o a_o point_n or_o mark_v for_o your_o 1_o a_o clock_n hour_n line_n and_o from_o i_o to_o h_z towards_o your_o right_a hand_n the_o mark_n for_o your_o 11_o a_o clock_n hour_n line_n in_o the_o next_o place_n take_v in_o the_o say_a horizon_n the_o distance_n between_o the_o 1_o and_o 2_o a_o clock_n circle_n and_o place_n it_o from_o k_o onward_o to_o l_o for_o a_o mark_n for_o your_o 2_o a_o clock_n line_n and_o from_o h_z to_o g_o for_o the_o 10_o a_o clock_n line_n and_o so_o on_o till_o you_o come_v to_o r_o 8_o at_o night_n and_o to_o a_o 4_o in_o the_o morning_n which_o be_v the_o late_a and_o early_a summer_n hour_n if_o then_o you_o will_v have_v a_o large_a dial_n describe_v a_o large_a circle_n suppose_v nesw_n or_o if_o a_o lesser_a dial_n a_o lesser_a circle_n as_o mpqr_n and_o lay_v your_o ruler_n on_o the_o centre_n o_o and_o on_o each_o of_o the_o former_a mark_n or_o letter_n in_o the_o say_v blind_a circle_n successive_o draw_v but_o a_o fair_a line_n to_o the_o design_a limb_n or_o border_n whether_o it_o be_v a_o circle_n or_o the_o square_a vxyz_n or_o any_o other_o figure_n and_o your_o dial_n want_v nothing_o bdt_v a_o cock_n but_o remember_v that_o you_o need_v not_o draw_v your_o hour_n line_n quite_o from_o the_o centre_n o_o because_o meet_v all_o there_o they_o will_v be_v apt_a to_o blur_v therefore_o describe_v about_o the_o say_a centre_n at_o what_o distance_n you_o please_v a_o little_a circle_n like_o γ_n ♌_o λ_n and_o your_o line_n will_v terminate_v there_o with_o more_o neatness_n and_o convenience_n now_o if_o you_o have_v a_o mind_n to_o put_v on_o half_a hour_n etc._n and_o quarter_n you_o will_v not_o much_o err_v if_o you_o divide_v each_o hour_n into_o four_o part_n but_o to_o be_v exact_a you_o must_v make_v use_n of_o your_o string_n thus_o you_o know_v that_o the_o distance_n between_o each_o hour-circle_n in_o the_o aequator_fw-la be_v 15_o degree_n draw_v therefore_o your_o string_n from_o the_o pole_n throu_fw-fr '_o the_fw-fr aequator_fw-la of_o your_o globe_n over_o 7_o degree_n and_o 30_o minute_n or_o half_o the_o distance_n between_o each_o hour_n circle_n and_o where_o the_o string_n cut_v the_o horizon_n there_o will_v be_v the_o true_a half_a hour_n of_o that_o hour_n so_o that_o if_o you_o mark_v with_o your_o compass_n the_o say_a distance_n on_o the_o blind_a circle_n between_o the_o correspond_v hour_n line_n the_o ruler_n pass_v throu_fw-fr '_o that_o mark_n and_o centre_n will_v give_v you_o in_o the_o border_n the_o place_n of_o that_o half_a hour_n and_o in_o like_a manner_n you_o be_v to_o proceed_v in_o mark_v out_o the_o rest_n as_o also_o the_o quarter_n and_o all_o other_o subdivision_n as_o for_o the_o style_n or_o cock_n of_o this_o dial_n it_o must_v always_o at_o the_o centre_n make_v a_o angle_n with_o the_o meridian_n or_o 12_o a_o clock_n line_n oi_o equal_a to_o the_o distance_n between_o the_o pole_n and_o the_o near_a part_n of_o the_o horizon_n of_o the_o globe_n that_o be_v to_o say_v a_o angle_n equal_a to_o the_o elevation_n or_o latitude_n of_o the_o place_n therefore_o your_o dial_n be_v make_v suppose_v for_o london_n open_v your_o compass_n at_o the_o aforesaid_a distance_n or_o at_o 51_o degree_n and_o ½_o and_o place_v one_o foot_n on_o i_o the_o other_o will_v fall_v on_o k_o in_o the_o say_v blind_a circle_n so_o that_o draw_v the_o blind_a line_n ok_n to_o π_n you_o will_v have_v the_o triangle_n io_o π_n which_o if_o you_o so_o erect_v that_o the_o point_v o_o lie_v just_a on_o the_o centre_n and_o the_o base_a io_o on_o your_o 12_o a_o clock_n line_n or_o substile_n your_o dial_n be_v finish_v and_o here_o you_o may_v take_v notice_n that_o though_o this_o style_n be_v the_o triangle_n io_o π_n yet_o you_o may_v fashion_v it_o into_o what_o shape_n you_o please_v in_o case_n the_o side_n π_n o_o which_o indicates_z or_o shows_z the_o hour_n make_v still_o a_o angle_n of_o 51_o degree_n and_o 1_o 2_o with_o the_o meridian_n io_o nay_o you_o may_v make_v it_o a_o pin_n or_o upright_a style_n as_o appear_v by_o the_o perpendicular_n ab_fw-la gh_n and_o π_n i_o for_o either_o of_o they_o will_v serve_v the_o turn_n by_o mark_v the_o hour_n with_o the_o shade_n of_o its_o apex_n or_o top_n but_o then_o they_o must_v not_o be_v place_v in_o the_o centre_n o_o but_o thereon_o the_o substilar_a where_o fall_v from_o the_o indicating_z side_z o_o π_n they_o stand_v perpendicular_a to_o it_o that_o be_v to_o say_v the_o pin_n ab_fw-la be_v part_n of_o the_o triangle_n or_o style_n io_o π_n must_v be_v erect_v at_o b_o the_o pin_n gh_o at_o h_n and_o π_n i_o at_o i_o and_o the_o reason_n why_o they_o perform_v this_o office_n as_o well_o as_o
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 they_o all_o therefore_o when_o the_o sun_n come_v into_o the_o plane_n of_o any_o hour_n circle_n for_o example_n to_o that_o of_o 4_o in_o the_o morning_n the_o shade_n of_o that_o hour-circle_n will_v fall_v there_o where_o the_o say_a hour_n circle_n cut_v the_o horizon_n on_o the_o opposite_a or_o western_a side_n and_o consequent_o the_o axis_n be_v in_o that_o plane_n as_o a_o part_n of_o it_o its_o shade_n must_v needs_o fall_v there_o also_o now_o since_o the_o blind_a circle_n or_o limb_n of_o the_o dial_n describe_v be_v a_o circle_n represent_v the_o horizon_n and_o have_v by_o construction_n its_o hour-line_n distant_a from_o each_o other_o as_o the_o hour_n circle_n of_o the_o globe_n or_o world_n be_v distant_a in_o their_o orison_n and_o since_o the_o hour-line_n of_o this_o and_o consequent_o of_o all_o other_o dial_n be_v only_o the_o intersection_n of_o the_o hour-circle_n with_o their_o respective_a plane_n it_o must_v needs_o follow_v if_o we_o place_v in_o the_o 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