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describe_v the_o blind_a arch_n gh_o to_o cut_v the_o say_a arch_n of_o and_o if_o you_o draw_v line_n from_o their_o intersection_n at_o c_o to_o a_o and_o b_o on_o the_o aforesaid_a base_a you_o have_v your_o intent_n viii_o to_o describe_v a_o oval_a cross_a rp_n at_o right_a angle_n with_o in_o and_o take_v with_o your_o compass_n on_o the_o say_a line_n from_o the_o intersection_n o_o equal_a distance_n to_o wit_n oa_n ob_fw-la oc_fw-la and_o odd_a and_o draw_v through_o the_o point_n c_o the_o line_n ak_v and_o bh_n each_o equal_a to_o twice_o ac_fw-la as_o also_o throu_fw-fr '_o d_o the_o line_n a_o and_o bl_n each_o equal_a to_o twice_o bc_n than_o a_o and_o b_o being_n centre_n describe_v the_o arch_n kpm_v and_o hlr_n in_o like_a manner_n c_o and_o d_o being_z centre_n describe_v the_o arch_n hik_fw-mi and_o lmn_n and_o the_o figure_n thus_o draw_v will_v be_v a_o perfect_a oval_n sector_n so_o much_o for_o the_o geometrical_a problem_n necessary_a for_o dial_v and_o as_o 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of_o equal_a part_n suppose_v your_o line_n be_v to_o be_v divide_v in_o 23_o equal_a part_n take_v it_o between_o your_o compass_n and_o open_v your_o sector_n place_n one_o foot_n of_o your_o say_a compass_n on_o the_o 23_o division_n of_o the_o sector_n and_o the_o other_o foot_n on_o the_o 23_o over_o against_o it_o and_o the_o distance_n between_o the_o figure_n 1_o and_o 1_o on_o the_o say_a sector_n will_v give_v you_o one_o equal_a division_n of_o your_o line_n and_o the_o distance_n between_o 2_o and_o 2_o will_v give_v you_o two_o equal_a division_n of_o it_o and_o in_o this_o manner_n proceed_v till_o you_o quite_o run_v over_o it_o as_o you_o design_n ii_o to_o find_v the_o proportion_n between_o any_o two_o line_n set_a over_o the_o great_a line_n at_o 100_o and_o 100_o on_o the_o sector_n then_o take_v the_o lesser_a between_o your_o compass_n find_v where_o it_o will_v be_v just_o set_v over_o also_o or_o lie_v parallel_n to_o the_o former_a which_o happen_v suppose_n 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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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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 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a_o horizontal_n concave_a dial_n by_o the_o globe_n and_o geometrical_o also_o compose_v so_o your_o globe_n in_o the_o concavity_n give_v suppose_v construction_n bac_n in_o scheme_n 37._o that_o a_o the_o centre_n of_o the_o say_a concavity_n shall_v concur_v with_o the_o centre_n of_o the_o say_a globe_n then_o draw_v your_o string_n over_o each_o necessary_a hour_n circle_n on_o the_o globe_n to_o the_o side_n of_o the_o concavity_n mark_v as_o many_o point_n as_o shall_v be_v convenient_a for_o the_o describe_v the_o correspond_v hour_n circle_n and_o the_o pin_n ad_fw-la erect_v in_o the_o nadir_n at_o d_o as_o high_a as_o the_o say_a centre_n a_o i_o mean_v a_o pin_n equal_a to_o the_o semi-diameter_n of_o the_o concavity_n will_v with_o its_o top_n always_o show_v you_o the_o hour_n though_o the_o former_a way_n be_v impracticable_a when_o the_o hole_n be_v less_o way_n than_o the_o globe_n yet_o it_o serve_v to_o illustrate_v and_o make_v easy_a the_o geometrical_a 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the_o globe_n can_v seldom_o be_v so_o well_o order_v by_o reason_n of_o its_o bulk_n as_o to_o help_v we_o in_o the_o construction_n of_o this_o dial_n therefore_o i_o shall_v only_o give_v you_o the_o geometrical_a way_n which_o be_v as_o i_o take_v it_o both_o short_a and_o new_a and_o because_o these_o dial_n have_v common_o the_o window_n or_o inlet_n for_o the_o sun_n southerly_a for_o otherwise_o they_o will_v show_v but_o very_o few_o hour_n we_o will_v suppose_v we_o also_o in_o the_o follow_a example_n to_o stand_v thus_o and_o afterward_o you_o shall_v see_v the_o difference_n between_o such_o a_o dial_n and_o those_o who_o window_n have_v another_o aspect_n first_o make_v on_o any_o pasteboard_n trencher_n etc._n etc._n a_o horizontal_n construction_n dial_n as_o in_o scheme_n 38._o and_o fix_v in_o o_o its_o centre_n a_o thread_n of_o a_o good_a length_n to_o wit_n open_v then_o fasten_v the_o say_a dial_n so_o with_o a_o nail_n to_o a_o long_a mason_n ruler_n that_o its_o 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i._n ii_o iii_o etc._n etc._n as_o well_o where_o they_o fall_v upon_o the_o polar_a circle_n as_o the_o aequator_fw-la and_o though_o all_o the_o circle_n that_o thus_o cut_v the_o aequator_fw-la and_o polar_a circle_n at_o a_o roman_a figure_n be_v circle_n of_o longitude_n yet_o they_o now_o serve_v for_o true_a hour_n circle_n also_o since_o they_o be_v not_o here_o express_v and_o draw_v according_a to_o the_o usual_a manner_n of_o terrestrial_a globe_n at_o the_o distance_n of_o 10_o degree_n but_o of_o 15_o asunder_o and_o here_o be_v please_v to_o remember_v that_o since_o there_o be_v a_o difference_n between_o the_o roman_a figure_n which_o belong_v to_o the_o same_o circle_n for_o if_o it_o cut_v for_o example_n at_o four_o on_o the_o polar_a circle_n it_o will_v cut_v you_o see_v at_o six_o hour_n difference_n viz._n at_o x_o in_o the_o aequator_fw-la the_o reason_n of_o it_o will_v appear_v by_o and_o by_o very_o plain_o when_o we_o come_v to_o the_o operation_n that_o 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2_o and_o z_o 1._o which_o will_v true_o represent_v this_o dial_n if_o they_o be_v produce_v in_o the_o say_a scheme_n now_o for_o the_o substilar_n it_o be_v the_o 6_o a_o clock_n hour_n line_n since_o that_o substilar_n hour_n circle_n fall_v on_o the_o plane_n at_o right_a angle_n and_o as_o for_o the_o cock_n it_o may_v be_v a_o gallow_n style_v as_o in_o scheme_n 13_o or_o a_o pin_n as_o in_o scheme_n 14_o so_o it_o be_v place_v on_o the_o substilar_a and_o perpendicular_a to_o it_o have_v its_o height_n equal_a to_o the_o distance_n between_o the_o prick_n or_o asterisk_n c_o and_o p_o in_o the_o say_v 11_o scheme_n or_o which_o be_v all_o one_o to_o the_o distance_n between_o k_o and_o x._o viz._n the_o near_a distance_n between_o the_o substilar_n and_o the_o 9_o a_o clock_n hour_n line_n in_o a_o east-dial_n and_o the_o substilar_a and_o the_o 3_o a_o clock_n line_n in_o a_o west_n dial._n but_o here_o you_o be_v to_o remember_v that_o when_o i_o say_v that_o the_o height_n 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in_o whitehal_a garden_n and_o as_o no_o dial_n can_v be_v more_o useful_a so_o perchance_o none_o ever_o strike_v the_o fancy_n both_o of_o the_o ignorant_a and_o learned_a with_o a_o more_o sudden_a admiration_n than_o this_o as_o i_o have_v often_o find_v by_o experience_n both_o in_o england_n and_o elsewhere_o nor_o true_o can_v it_o but_o surprise_v one_o at_o first_o to_o think_v that_o a_o picture_n without_o a_o machine_n or_o movement_n shall_v have_v his_o finger_n ever_o on_o the_o hour_n and_o as_o due_o attend_v the_o sun_n motion_n as_o if_o he_o be_v alive_a i_o say_v this_o can_v but_o surprise_v one_o and_o yet_o this_o very_a dial_n be_v as_o easy_a to_o be_v make_v as_o any_o of_o the_o former_a suppose_v then_o as_o in_o scheme_n 33_o that_o the_o plane_n give_v you_o construction_n be_v that_o of_o the_o vertical_a cavity_n a_o b_o c_o d_o lie_v direct_o south_n describe_v therefore_o on_o the_o glass_n abcd_n the_o contrary_a dial_n i._n e._n a_o direct_a north_n 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