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a_o imaginary_a parallel_n of_o each_o five_o day_n will_v cut_v for_o though_o we_o be_v to_o suppose_v parallel_n for_o every_o day_n throughout_o the_o year_n yet_o there_o be_v no_o sensible_a difference_n in_o the_o sun_n from_o 5_o day_n to_o 5_o day_n such_o hole_n will_v be_v abundant_o sufficient_a nay_o the_o aforesaid_a one_o from_o ten_o day_n to_o ten_o day_n may_v very_o well_o serve_v the_o turn_n in_o any_o ordinary_a operation_n i_o say_v the_o globe_n have_v hole_n in_o its_o meridian_n at_o this_o distance_n put_v the_o zenith_n pin_n or_o if_o you_o think_v better_o a_o needle_n in_o the_o hole_n which_o most_o agree_v with_o the_o true_a day_n of_o the_o month_n and_o then_o expose_v your_o globe_n
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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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 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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 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plane_n which_o the_o style_n or_o cock_n as_o i_o show_v you_o represent_v be_v to_o be_v measure_v in_o the_o hour_n circle_n that_o fall_v on_o the_o plane_n at_o right_a angle_n which_o be_v the_o meridian_n or_o ordinary_a 12_o a_o clock_n hour_n circle_n it_o follow_v that_o its_o intersection_n with_o the_o plane_n must_v be_v the_o substilar_n or_o line_n with_o which_o the_o style_n be_v to_o make_v the_o angle_n of_o the_o elevation_n all_o that_o we_o have_v then_o say_v of_o this_o dial_n may_v be_v clear_o see_v by_o sch._n 5._o which_o represent_v your_o globe_n cut_v into_o a_o horizontal_n plane_n with_o its_o dial_n on_o it_o as_o sch._n 4._o do_v the_o globe_n entire_a when_o you_o consider_v it_o in_o the_o description_n of_o the_o say_a dial_n for_o there_o you_o have_v before_o your_o eye_n by_o the_o letter_n i_o k_o l_o etc._n etc._n not_o only_o how_o to_o open_v your_o compass_n from_o hour-circle_n to_o hour_n circle_n for_o the_o true_a place_v the_o distance_n of_o each_o hour-line_n on_o your_o blind_a circle_n but_o also_o the_o number_n of_o degree_n in_o the_o horizon_n between_o every_o hour_n circle_n and_o the_o meridian_n beside_o by_o the_o orison_n oblique_a cut_v the_o hour_n circle_n you_o may_v see_v how_o that_o notwithstanding_o the_o equality_n of_o the_o sun_n horary_a motion_n the_o hour-line_n of_o this_o dial_n must_v be_v unequal_a and_o consequent_o that_o they_o be_v of_o different_a distance_n in_o different_a latitude_n operation_n iii_o to_o describe_v a_o horizontal_n dial_n geometrical_o for_o the_o elevation_n of_o london_n describe_v a_o fair_a circle_n as_o abcd_n and_o if_o you_o will_v have_v your_o dial_n of_o another_o shape_n you_o may_v afterward_o describe_v about_o it_o what_o figure_n you_o please_v i_o say_v describe_v the_o fair_a circle_n abcd_v and_o draw_v throu_fw-fr '_o its_o centre_n o_o the_o line_n aoc_fw-fr for_o your_o meridian_n or_o 12_o a_o clock_n hour_n line_n and_o cross_v it_o at_o right_a angle_n with_o bd_o for_o the_o morning_n and_o evening_n 6_o a_o clock_n hour_n line_n mark_v in_o it_o by_o the_o help_n of_o your_o line_n of_o sines_n or_o any_o way_n else_o from_o a_o the_o value_n of_o 51._o 30._o or_o latitude_n of_o your_o dwell_n which_o happen_v to_o reach_v for_o example_n sake_n to_o k_o draw_v the_o blind_a line_n ok_n then_o throu_fw-fr '_o any_o point_n of_o ao_o suppose_v a_o draw_v gh_a another_o blind_a line_n parallel_a to_o bd_o or_o at_o right_a angle_n with_o the_o say_v ao_o and_o take_v with_o your_o compass_n the_o near_a distance_n between_o a_o and_o ok_n which_o be_v suppose_v the_o point_n l_o let_v all_o by_o the_o help_n of_o your_o sector_n according_a to_o our_o former_a 71._o direction_n be_v the_o radius_fw-la to_o the_o tangent_fw-la line_n gh_n so_o that_o mark_v in_o it_o on_o both_o side_n of_o a_o the_o tangent_n of_o 15_o 30_o 45_o 60_o and_o 75_o degree_n the_o say_a centre_n o_o and_o the_o point_n 15_o will_v give_v you_o the_o hour-line_n of_o 1_o and_o 11_o the_o centre_n o_o and_o 30_o those_o of_o 2_o and_o 10_o and_o in_o this_o manner_n proceed_v to_o 75_o which_o will_v give_v you_o the_o hour-line_n of_o 5_o and_o 7_o and_o as_o for_o those_o beyond_o the_o 6_o a_o clock_n line_n do_v but_o produce_v 8_o in_o the_o morning_n and_o it_o will_v give_v you_o 8_o at_o night_n and_o 7_o in_o the_o morning_n 7_o at_o night_n as_o will_v 4_o and_o 5_o in_o the_o evening_n the_o like_a forenoon_n hour_n thus_o than_o you_o have_v not_o only_o a_o horizontal_n dial_n geometrical_o describe_v almost_o as_o soon_o as_o the_o former_a and_o this_o without_o embroil_v the_o plane_n with_o multiplicity_n of_o blind_a circle_n and_o line_n but_o a_o way_n also_o in_o case_n you_o have_v no_o sector_n how_o to_o make_v any_o tangent_fw-la line_n serve_v your_o turn_n for_o it_o be_v but_o take_v between_o the_o compass_n 45_o degree_n of_o it_o i._n e._n a_o distance_n equal_a to_o its_o radius_fw-la and_o find_v out_o by_o a_o trial_n or_o two_o the_o point_n suppose_v r_o in_o the_o line_n oa_n where_o one_o foot_n of_o your_o compass_n be_v place_v the_o other_o just_o touch_v m_n the_o suppose_a near_a point_n or_o distance_n in_o ok_n from_o the_o say_v r_o draw_v throu_fw-fr '_o r_z a_o line_n at_o right_a angle_n with_o the_o meridian_n and_o note_v in_o it_o as_o we_o show_v you_o before_o the_o degree_n of_o each_o hour_n according_a to_o this_o new_a tangent_fw-la line_n the_o centre_n o_o and_o these_o degree_n will_v give_v you_o the_o point_n of_o each_o hour_n line_n for_o as_o the_o former_a radius_fw-la all_o be_v to_o the_o several_a degree_n in_o its_o tangent_fw-la line_n so_o