Selected quad for the lemma: end_n

Word A	Word B	Word C	Word D	Occurrence	Frequency Band	MI	MI Band	Prominent
end_n	draw_v	line_n	perpendicular_a	3,095	5	14.0786	5	true

Text snippets containing the quad

ID	Title	Author	Corrected Date of Publication (TCP Date of Publication)	STC	Words	Pages
A15752	A short treatise of dialling shewing, the making of all sorts of sun-dials, horizontal, erect, direct, declining, inclining, reclining; vpon any flat or plaine superficies, howsoeuer placed, with ruler and compasse onely, without any arithmeticall calculation. By Edvvard Wright.; Arte of dialing	Wright, Edward, 1558?-1615.	1614 (1614)	STC 26023; ESTC S111551	14,891	53

the_o horizon_n you_o shall_v thus_o know_v whether_o it_o be_v direct_a or_o decline_a first_o draw_v therein_o a_o line_n parallel_n to_o the_o horizon_n after_o this_o manner_n hold_v the_o clinatory_n to_o the_o flat_a in_o such_o sort_n that_o the_o plumbline_n may_v fall_v upon_o one_o of_o the_o side_n of_o the_o quadrant_a then_o draw_v a_o line_n by_o the_o nether_a side_n of_o the_o clinatory_n in_o recliner_n or_o by_o the_o upper_a side_n in_o incliner_n or_o by_o either_o of_o those_o side_n in_o erect_a flat_n for_o that_o line_n shall_v be_v parallel_n or_o aequidistant_a to_o the_o horizon_n and_o may_v be_v call_v the_o horizontall_a line_n set_a the_o north_n side_n of_o the_o cliniatorie_a to_o this_o live_v if_o the_o north_n end_n of_o the_o needle_n look_v towards_o the_o flat_a then_o if_o the_o magnetical_a meridian_n be_v right_a under_o the_o needle_n it_o be_v a_o direct_a flat_a but_o if_o it_o differ_v from_o it_o it_o be_v decline_v and_o that_o so_o much_o as_o that_o difference_n be_v and_o that_o way_n which_o the_o north_n end_n of_o the_o needle_n decline_v from_o the_o northend_n of_o the_o meridian_n line_n in_o the_o clinatory_n 4_o if_o the_o southend_n of_o the_o needle_n look_v towards_o the_o flat_a make_v your_o account_n contrary_a wise_a chap._n iu._n the_o three_o division_n of_o dial_n either_o agree_v with_o the_o plain_a of_o the_o meridian_n or_o disagree_v from_o the_o same_o all_o flat_n do_v either_o agree_v with_o the_o plain_a of_o the_o meridian_n circle_n which_o may_v therefore_o be_v call_v meridian_n flat_n or_o else_o they_o disagree_v from_o the_o same_o 2_o they_o be_v know_v thus_o if_o the_o flat_a be_v erect_v and_o decline_a 90._o degree_n it_o be_v a_o meridian_n flat_a otherwise_o it_o be_v no_o meridian_n flat_a and_o than_o you_o must_v first_o draw_v therein_o the_o meridian_n line_n after_o this_o manner_n 3_o if_o the_o flat_a be_v horizontal_n take_v the_o clinatory_n flat_n and_o lay_v it_o flat_o down_o thereupon_o and_o turn_v it_o about_o till_o the_o needle_n hang_v precise_o over_o the_o magnetical_a meridian_n by_o that_o side_n thereof_o that_o be_v parallel_n to_o the_o true_a meridian_n line_n of_o the_o clinatory_n draw_v a_o right_a line_n for_o that_o shall_v be_v the_o meridian_n line_n desire_v 4_o in_o erect_a flat_n the_o meridian_n line_n be_v perpendicular_a and_o therefore_o lay_v the_o clinatory_n close_o to_o such_o a_o flat_a in_o such_o sort_n that_o the_o plumbline_n hang_v precise_o flat_n on_o either_o side_n of_o the_o quadrant_a a_o line_n draw_v by_o the_o side_n of_o the_o clinatory_n parallel_n to_o that_o side_n of_o the_o quadrant_a shall_v be_v the_o meridian_n line_n 5_o in_o direct_a flat_n a_o line_n perpendicular_a to_o the_o line_n flat_n aequidistant_n from_o the_o horizon_n be_v the_o meridian_n line_n we_o seek_v for_o 6_o in_o flat_n recline_v or_o incline_v decline_v also_o degree_n 90._o degree_n which_o be_v common_o call_v east_n or_o west_n recline_v or_o incline_v the_o meridian_n line_n be_v parallel_n to_o the_o horizon_n 7_o for_o alother_n degree_n incline_v or_o recline_v &_o withal_o decline_v flat_n draw_v a_o line_n upon_o some_o pasteboard_n or_o paper_n which_o shall_v be_v call_v the_o horizontal_a meridian_n ab_fw-la wherein_o settingone_o foot_n of_o your_o compass_n with_o the_o other_o draw_v a_o arch_n of_o a_o circle_n &_o therein_o reckon_v the_o complement_n of_o the_o declination_n fc_n draw_v a_o right_a line_n bc._n by_o the_o end_n thereof_o out_o of_o the_o centre_n b._n this_o right_a line_n you_o shall_v cross_v squirewise_a with_o another_o as_o ac_fw-la which_o may_v be_v call_v the_o base_a of_o inclination_n or_o reclination_n and_o must_v also_o meet_v with_o the_o horizontall_a meridian_n at_o a._n and_o set_v one_o foot_n of_o your_o compass_n in_o the_o cross_n at_o c._n with_o the_o other_o foot_n draw_v a_o ark_n count_v therein_o the_o complement_n of_o the_o reclination_n or_o inclination_n ag._n draw_v a_o right_a line_n by_o the_o end_n thereof_o out_o of_o the_o centre_n of_o the_o foresay_a ark_n cgd_v &_o from_o a_o erect_a ad._n perpendicular_a to_o ac_fw-la which_o may_v meet_v with_o cgd_n the_o line_n of_o reclination_n or_o inclination_n at_o d._n also_o from_o a._n draw_v the_o line_n af._n perpendicular_a to_o the_o horozontal_a meridian_n ab_fw-la in_o the_o point_n a._n and_o equal_a to_o the_o former_a perpendicular_a ad._n and_o from_o the_o end_n thereof_o draw_v a_o line_n to_o the_o centre_n of_o the_o ark_n of_o declination_n b._n then_o continue_v forth_o ac_fw-la to_o n._n that_o cn_fw-la be_v equal_a to_o cd_o from_o n._n you_o shall_v draw_v a_o line_n to_o b._n which_o if_o you_o have_v wrought_v true_o must_v be_v equal_a to_o be._n now_o the_o angle_n contain_v between_o the_o line_n nb._n and_o bc._n show_v how_o much_o the_o meridian_n line_n in_o your_o dial_n ground_n shall_v be_v distant_a from_o the_o line_n which_o you_o draw_v aequidistant_a to_o the_o horizon_n here_o represent_v by_o bc._n in_o this_o line_n therefore_o in_o the_o dial_n ground_n set_v one_o foot_n of_o your_o compass_n and_o extend_v the_o other_o that_o way_n which_o the_o dial_n decline_v draw_v a_o ark_n of_o a_o circle_n upward_o in_o recliner_n but_o downward_o in_o incliner_n and_o therein_o count_v the_o say_a angle_n from_o the_o line_n parallel_n to_o the_o horizon_n and_o draw_v by_o the_o end_n thereof_o a_o line_n which_o shall_v be_v the_o true_a meridian_n in_o the_o dial_n ground_n 8_o from_o meridian_n a_o draw_v ah_o perpendicular_a to_o ebb_v make_v by_o equal_a to_o bh_n from_o i._o let_v ik_fw-mi be_v draw_v perpendicular_a to_o bn_n make_v cl._n equal_a to_o ck_v and_o draw_v a_o line_n from_o l_o to_z a._n of_o these_o three_o line_n ah_o ik_fw-mi and_o la._n make_v the_o triangle_n ahm._n for_o then_o the_o angle_n ahm._n be_v the_o angle_n which_o the_o dial_n ground_n make_v with_o the_o plain_a of_o the_o meridian_n chap._n v._o to_o find_v the_o elevation_n of_o the_o meridian_n line_n above_o the_o horizon_n the_o meridian_n line_n be_v either_o parallel_n to_o the_o horizon_n or_o else_o elevate_v the_o one_o end_n line_n high_o than_o the_o other_o 2_o if_o the_o flat_a be_v either_o horizontal_a or_o east_n or_o west_n and_o incline_v or_o recline_v the_o meridian_n be_v parallel_n to_o the_o horizon_n 3_o in_o all_o other_o flat_n that_o disagree_v from_o the_o plain_a of_o the_o meridian_n circle_n the_o meridian_n line_n be_v elevate_v the_o one_o end_n high_o than_o the_o other_o 4_o this_o elevation_n be_v either_o upright_o as_o in_o all_o erect_a flat_n dial_n not_o decline_v 90._o degree_n or_o else_o lean_v as_o in_o all_o incline_n and_o recline_a flat_n not_o decline_v 90_o degree_n which_o if_o they_o be_v direct_v be_v equal_a to_o the_o complement_n of_o reclination_n or_o inclination_n 5_o but_o if_o they_o decline_v than_o the_o angle_n abe_n in_o the_o former_a figure_n be_v the_o elevation_n of_o the_o meridian_n line_n 6_o if_o the_o meridian_n line_n be_v not_o erect_v it_o leave_v either_o northwards_o when_o the_o elevate_v end_n thereof_o south_n look_v towards_o the_o north_n or_o else_o southwards_o when_o the_o elevate_v end_n look_v towards_o the_o south_n 7_o all_o flat_n be_v either_o polar_a which_o be_v continue_v will_v go_v by_o the_o pole_n of_o the_o world_n as_o all_o polar_n lean_a flat_n wherein_o the_o elevation_n of_o the_o meridian_n line_n be_v northwards_o and_o equal_a to_o the_o pole_n elevation_n and_o all_o erect_v decliner_n 90._o degree_n otherwise_o they_o be_v no_o polar_n flat_n polar_n chap._n vi_o the_o describe_v of_o the_o figure_n of_o the_o dial_n first_o on_o paper_n or_o pasteboard_n now_o it_o shall_v be_v best_a to_o take_v a_o sheet_n of_o paper_n or_o rather_o a_o pastebord_n that_o you_o may_v therein_o describe_v the_o figure_n of_o your_o dial_n before_o you_o draw_v the_o dial_n itself_o upon_o his_o ground_n that_o be_v upon_o the_o trunk_n stone_n wall_n etc._n etc._n 2_o this_o paper_n or_o pasteboord_n therefore_o you_o shall_v place_n or_o understand_v to_o be_v place_v so_o as_o your_o dial_n ground_n be_v or_o must_v be_v place_v and_o therein_o write_v the_o name_n of_o the_o part_n of_o the_o world_n as_o they_o lie_v in_o respect_n of_o your_o dial_n ground_n as_o east_n west_n north_n south_n zenith_n nadir_n upper_a part_n nether_a part_n etc._n etc._n which_o you_o may_v do_v by_o help_n of_o the_o magnetical_a needle_n for_o the_o north_n end_v thereof_o hang_v at_o liberty_n show_v the_o north_n whereto_o the_o south_n be_v diametral_o opposite_a and_o your_o face_n be_v turn_v towards_o the_o north_n your_o right_a hand_n show_v the_o east_n your_o left_a hand_n the_o west_n the_o zenith_n

end_n of_o the_o meridian_n line_n as_o pm_n pn_n po_n from_o mno_n 5_o if_o the_o elevation_n of_o the_o meridian_n line_n be_v southwards_o and_o less_o than_o the_o complement_n of_o the_o pole_n elevation_n the_o elevation_n of_o the_o stile_n shall_v be_v count_v from_o the_o upper_a end_n of_o the_o meridian_n line_n as_o dp_v from_o d._n 6_o if_o the_o dial_n ground_n look_v towards_o the_o north_n the_o elevation_n of_o the_o stile_n from_o the_o meridian_n line_n shall_v be_v reckon_v contrariwise_o in_o every_o kind_n chap._n xii_o the_o find_n of_o the_o substilar_a line_n and_o stile_n in_o dial_n that_n be_v not_o polar_a nor_o equinoctial_a the_o stile_n make_v oblique_a angle_n with_o the_o meridian_n line_n have_v thus_o find_v out_o from_o whether_o end_n of_o the_o meridian_n line_n the_o elevation_n of_o the_o stile_n be_v to_o be_v reckon_v set_v one_o foot_n of_o your_o compass_n in_o the_o meridian_n line_n as_o in_o a._n and_o stretch_v forth_o the_o other_o foot_n towards_o that_o end_n of_o the_o meridian_n line_n from_o which_o the_o elevation_n of_o the_o stile_n be_v to_o be_v reckon_v as_o towards_o l._n draw_v a_o arch_n of_o a_o circle_n mdln._n and_o begin_v at_o the_o merîdian_a line_n reckon_v and_o mark_v therein_o the_o elevation_n of_o the_o stile_n from_o the_o meridian_n line_n ld_n figure_n 13._o 14._o 15._o in_o the_o rest_n lo_o either_o eastward_n or_o westward_n in_o direct_a dial_n as_o in_o the_o 13._o 14._o 15._o fig._n but_o in_o decliner_n towards_o that_o part_n of_o the_o world_n which_o be_v opposite_a to_o the_o part_n whereunto_o the_o dial_n decline_v as_o in_o the_o 16._o 17._o 18._o fig._n 2_o then_o in_o direct_a dial_n a_o right_a line_n acd_v fig._n 13._o 14._o 15._o draw_v out_o of_o the_o centre_n of_o the_o say_a ark_n by_o the_o mark_n of_o the_o style_n elevation_n from_o the_o meridian_n line_n shall_v be_v the_o line_n represent_v the_o stile_n and_o therefore_o the_o distance_n of_o the_o stile_n from_o the_o substilar_a line_n shall_v be_v the_o distance_n of_o the_o stile_n from_o the_o meridian_n line_n 3_o but_o in_o decliner_n you_o shall_v thus_o find_v the_o substilar_a line_n from_o o_o the_o point_n of_o the_o style_n elevation_n from_o the_o meridian_n line_n in_o the_o foresay_a ark_n draw_v open_a a_o perpendicular_a to_o the_o meridian_n line_n al._n and_o take_v the_o length_n of_o this_o perpendicular_a with_o your_o compass_n leave_v one_o foot_n in_o p._n the_o concourse_n thereof_o with_o the_o meridian_n line_n and_o with_o the_o other_o describe_v a_o quadrant_a of_o a_o circle_n qro._n begin_v from_o the_o meridian_n line_n and_o so_o proceed_v unto_o o_fw-la the_o other_o end_n of_o the_o perpendicular_a line_n and_o in_o that_o quadrant_a beginning_n at_o the_o meridian_n alq._n reckon_v and_o mark_v qr_n the_o complement_n of_o the_o angle_n contain_v between_o the_o plain_n of_o the_o dial_n ground_n and_o of_o the_o meridian_n circle_n and_o take_v with_o your_o compass_n rs._n the_o distance_n of_o that_o mark_n from_o the_o meridian_n line_n and_o set_v one_o foot_n of_o the_o compass_n in_o p._n the_o meeting_n of_o that_o perpendicular_a with_o the_o meridian_n line_n with_o the_o other_o make_v a_o prick_n t_o in_o the_o same_o perpendicular_a line_n for_o than_o ab_fw-la a_o right_a line_n draw_v by_o this_o prick_n t._n out_o of_o the_o centre_n of_o the_o foresay_a ark_n mdln._n shall_v be_v the_o substilar_a line_n 4_o then_o take_v with_o your_o compass_n tr._n the_o distance_n of_o the_o foresay_a mark_n in_o the_o quadrant_a qro._n and_o this_o prick_n and_o leave_v one_o foot_n of_o your_o compass_n in_o the_o same_o prick_n t._n with_o the_o other_o make_v another_o prick_n v._o in_o the_o ark_n you_o first_o describe_v for_o then_o a_o right_a line_n au._n draw_v thereby_o out_o of_o the_o arch_n you_o first_o describe_v shall_v be_v the_o stilar_a line_n or_o line_n represent_v the_o stile_n 5_o in_o dial_n not_o polar_n nor_o equinoctial_a if_o the_o distance_n of_o the_o stile_n from_o the_o substilar_a line_n be_v but_o small_a as_o in_o the_o fig._n 10._o 12._o 17._o it_o may_v be_v increase_v by_o draw_v a_o parallel_n cd_o to_o the_o stile_n already_o find_v augment_v which_o for_o distinction_n sake_n may_v be_v call_v the_o stile_n augment_v chap._n xiii_o the_o draw_v of_o the_o line_n of_o contingence_n and_o of_o the_o equinoctial_a circle_n and_o how_o it_o must_v be_v divide_v now_o in_o all_o dial_n that_n be_v not_o equinoctial_a draw_v a_o right_a line_n ehf_n so_o long_o as_o you_o can_v make_v right_a angle_n with_o the_o substilar_a line_n which_o be_v call_v the_o line_n of_o contingence_n or_o touchline_v 2_o then_o describe_v the_o equinoctial_a circle_n ghi_n after_o this_o manner_n take_v with_o your_o compass_n the_o short_a distance_n between_o h._n the_o intersection_n of_o the_o line_n of_o contingence_n with_o the_o substilar_a line_n and_o the_o stilar_a line_n and_o leave_v one_o foot_n in_o that_o intersection_n with_o the_o other_o make_v a_o prick_n b._n in_o the_o substilar_a line_n whereupon_o describe_v a_o circle_n ghi_n which_o shall_v be_v call_v the_o equinoctial_a circle_n 3_o if_o the_o distance_n of_o the_o stile_n from_o the_o substilar_a be_v augment_v you_o must_v draw_v two_o touch_v line_n and_o two_o aequinoctial_a circle_n as_o in_o 10._o 12._o 17._o figure_n 4_o the_o half_a of_o the_o equinoctial_a circle_n next_o the_o line_n of_o contingence_n must_v be_v divide_v into_o 12._o equal_a part_n begin_v at_o h_n the_o intersection_n thereof_o with_o the_o substilar_a line_n in_o all_o direct_a dial_n and_o erect_v or_o meridian_n polar_n which_o be_v common_o call_v east_n or_o west_n dial_n erect_v as_o in_o the_o 3._o 4._o 5._o 6._o 13._o 14._o 15._o figure_n 5_o in_o polar_n not_o meridian_n nor_o direct_v let_v hk_n in_o fig._n 7._o &_o 8._o the_o complement_n of_o the_o angle_n which_o the_o dial_n ground_n make_v with_o the_o plain_a of_o the_o meridian_n be_v number_v and_o mark_v in_o the_o aequinoctial_a circle_n begin_v at_o the_o substilar_a line_n and_o proceed_v that_o way_n which_o the_o dial_n ground_n decline_v as_o from_o h._n to_o k._n for_o at_o that_o mark_n k_o you_o must_v begin_v to_o divide_v 6_o in_o decliner_n not_o polar_n if_o the_o stile_n make_v a_o right_a angle_n with_o the_o meridian_n line_n as_o in_o the_o 9_o 10._o 11._o 12._o figu_n a_o parallel_n to_o the_o line_n of_o contingence_n draw_v by_o the_o centre_n of_o the_o equinoctial_a shall_v show_v the_o beginning_n of_o the_o division_n as_o bk_n in_o figu_n 9_o 10._o 11._o 12._o 7_o but_o if_o the_o stile_n make_v a_o oblique_a angle_n with_o the_o meridian_n line_n and_o the_o line_n of_o contingencye_n cut_v the_o meridian_n line_n as_o in_o the_o 16._o figu_n your_o ruler_n lay_v to_o that_o cut_n at_o x_o and_o the_o centre_n of_o the_o equinoctial_a b._n shall_v show_v in_o the_o peripherie_n thereof_o the_o beginning_n of_o the_o division_n k_o if_o the_o distance_n of_o the_o stile_n from_o the_o substilar_a be_v not_o augment_v 8_o but_o if_o it_o be_v augment_v as_o in_o the_o 17._o figure_n the_o short_a distance_n hx_n between_o h_n the_o intersection_n of_o the_o touch_n line_n with_o the_o substilar_a line_n and_o the_o style_v not_o augment_v hence_v must_v be_v take_v with_o the_o compass_n and_o rest_v one_o foot_n in_o that_o intersection_n h_n with_o the_o other_o make_v a_o prick_n y_fw-fr in_o the_o substilar_a line_n towards_o b_o the_o centre_n of_o the_o equinoctial_a by_o which_o prick_n y_o &_o z_o the_o mutual_a intersection_n of_o the_o next_o touch_n line_n with_o the_o meridian_n line_n let_v a_o right_a line_n yz_n be_v draw_v for_o bk_n and_o bk_n parallel_n to_o it_o draw_v out_o of_o the_o cenrer_n of_o both_o the_o equinoctial_o towards_o the_o meridian_n line_n at_o their_o cross_n with_o the_o equinoctial_o k_o &_o k_o shall_v show_v the_o beginning_n of_o their_o division_n 9_o but_o if_o the_o touch_n line_n cut_v not_o the_o meridian_n line_n as_o in_o the_o figure_n 18._o let_v a_o parallel_v thereto_o xy_n be_v draw_v which_o may_v cut_v the_o meridian_n line_n in_o y_o and_o take_v with_o the_o compass_n the_o short_a distance_n za_n betwixt_o the_o intersection_n thereof_o with_o the_o substilar_a line_n and_o the_o style_v not_o augment_v and_o leave_v one_o foot_n in_o that_o intersection_n z_o with_o the_o other_o make_v a_o prick_n b_o in_o the_o substilar_a line_n towards_o the_o centre_n of_o the_o equinoctial_a from_o this_o prick_n draw_v a_o right_a line_n by_o from_o b_o to_z y_z the_o intersection_n of_o the_o say_a parallel_n with_o the_o meridian_n line_n for_o bka_n parallel_n to_o this_o line_n draw_v out_o

of_o the_o centre_n of_o the_o equinoctial_a b._n shall_v show_v the_o beginning_n of_o the_o division_n k._n chap._n xiiii_o the_o draw_v of_o the_o hour_n line_n in_o all_o dial_n that_n be_v not_o equinoctial_a have_v thus_o divide_v the_o equinoctial_a circle_n lay_v your_o ruler_n to_o the_o centre_n thereof_o b._n and_o to_o every_o one_o of_o those_o prick_v 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d by_o which_o it_o be_v divide_v and_o make_v mark_n 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d etc._n etc._n in_o every_o place_n where_o it_o cross_v the_o line_n of_o contingence_n for_o then_o 2_o in_o all_o polar_n dial_n parallel_n to_o the_o substilar_a line_n draw_v by_o those_o mark_n shall_v be_v the_o hour_n line_n as_o in_o the_o 3._o 4._o 6._o 7._o 8._o figu_n 3_o in_o dial_n not_o polar_n in_o which_o the_o height_n of_o the_o stile_n be_v not_o augment_v right_a line_n draw_v out_o of_o the_o centre_n of_o the_o dial_n by_o those_o mark_n shall_v be_v the_o hour_n line_n as_o in_o the_o 9_o 11._o 13._o 14._o 15._o 16._o 18._o figu_n and_o if_o any_o of_o the_o division_n of_o the_o equinoctial_a circle_n do_v fall_v in_o to_o the_o substilar_a line_n a_o parallel_n to_o the_o line_n of_o contingence_n draw_v by_o the_o centre_n of_o the_o say_a dial_n shall_v show_v two_o opposite_a hour_n distant_a by_o the_o space_n of_o six_o hour_n from_o the_o substilar_a line_n as_o for_o example_n in_o direct_a dial_n six_o in_o the_o forenoon_n and_o six_o in_o the_o afternoon_n as_o in_o the_o 13._o 14._o 15._o figure_n also_o if_o the_o ruler_n lay_v to_o b._n the_o centre_n of_o the_o equinoctial_a circle_n and_o some_o division_n thereof_o as_o five_o in_o the_o 16._o and_o 18._o figu_n can_v cross_v the_o line_n of_o contingence_n and_o yet_o draw_v near_o to_o it_o draw_n by._n a_o right_a line_n from_o the_o centre_n of_o the_o equinoctial_a by_o that_o division_n and_o draw_v of_o a_o parallel_n to_o that_o line_n which_o may_v cross_v the_o substilar_a and_o line_v of_o contingency_n in_o f._n then_o let_v ha._n the_o other_o part_n of_o the_o substilar_a that_o be_v between_o the_o line_n of_o contingence_n and_o the_o centre_n of_o the_o dial_n a._n be_v cut_v in_o such_o sort_n that_o the_o segment_n of_o the_o substilar_a line_n concur_v at_o the_o line_n of_o contingence_n ah_o and_o hb_n may_v keep_v the_o same_o proportion_n which_o the_o great_a segment_n bh_n and_o ha._n have_v which_o be_v contain_v between_o the_o centre_n of_o the_o dial_n and_o line_n of_o contingence_n and_o betwixt_o the_o centre_n of_o the_o equinoctial_a and_o the_o line_n of_o contingence_n and_o let_v aright_o line_v bf_n be_v draw_v by_o that_o section_n b_o and_o the_o section_n of_o the_o line_n of_o contingence_n f._n for_o a_z a_o parallel_n to_o this_o right_a line_n draw_v out_o of_o the_o centre_n of_o the_o dial_n shall_v be_v the_o hour_n line_n that_o we_o seek_v for_o 4_o in_o those_o dial_n wherein_o the_o distance_n of_o the_o stile_n from_o the_o substilar_a be_v augment_v right_a line_n draw_v by_o those_o mark_n in_o both_o line_n of_o contingence_n which_o be_v proportionate_o distant_a from_o the_o substilar_a line_n shall_v be_v the_o hour_n line_n chap._n xv._n what_o number_n must_v be_v set_v to_o the_o hour_n line_n in_o meridian_n dial_n the_o substilar_a line_n be_v the_o line_n of_o the_o six_o hour_n but_o for_o the_o rest_n we_o must_v consider_v whether_o it_o be_v a_o oriental_a or_o a_o occidental_a dial_n 2_o a_o oriental_a dial_n look_v to_o the_o east_n and_o the_o forenoon_n hour_n only_o must_v be_v set_v in_o this_o dial_n and_o therefore_o the_o substilar_a line_n show_v six_o of_o the_o clock_n in_o the_o morning_n from_o which_o towards_o the_o south_n be_v the_o morning_n hour_n before_o six_o viz._n 5._o 4._o 3._o etc._n etc._n but_o towards_o the_o north_n after_o six_o 7._o 8._o 9_o 10._o 11._o as_o in_o the_o 3_o figure_n 3_o a_o occidental_a dial_n look_v direct_o westward_n and_o only_o the_o hour_n after_o noon_n can_v be_v set_v into_o this_o dial_n therefore_o the_o substilar_a line_n show_v the_o six_o hour_n after_o noon_n from_o which_o towards_o the_o north_n be_v the_o hour_n before_o six_o in_o this_o order_n 5._o 4._o 3._o 2._o 1._o but_o towards_o the_o south_n after_o six_o thus_o 7._o 8._o 9_o etc._n etc._n as_o in_o the_o 4._o figure_n 4_o in_o dial_n not_o meridian_n if_o a_o ruler_n lay_v to_o the_o centre_n of_o the_o aequinoctial_a and_o the_o beginning_n of_o the_o division_n thereof_o do_v cross_v the_o touchline_n then_o the_o hour_n line_n draw_v by_o that_o cross_n be_v the_o line_n of_o twelve_o a_o clock_n but_o if_o it_o can_v cross_v the_o touch_n line_n imagine_v notwithstanding_o that_o cross_v and_o the_o twelve_o a_o clock_n line_n draw_v thereby_o without_o the_o bound_n of_o your_o dial_n whereabout_o you_o think_v it_o will_v be_v if_o the_o ruler_n and_o touch_n line_n be_v continue_v forth_o long_o enough_o 5_o then_o in_o all_o dial_n not_o meridian_n imagine_v the_o stile_n to_o be_v fasten_v in_o his_o place_n in_o aequinoctial_a dial_n perpendicular_o erect_v out_o of_o the_o centre_n in_o dial_n that_n be_v not_o equinoctial_a conceive_v it_o to_o be_v place_v exact_o over_o the_o substilar_a line_n so_o much_o raise_v from_o the_o same_o as_o the_o stilar_a line_n in_o your_o paper_n or_o pasteboard_n be_v distant_a from_o the_o substilar_a line_n 6_o after_o this_o place_v your_o paper_n or_o pastebord_n whereon_o the_o figure_n of_o your_o dial_n be_v describe_v in_o the_o same_o site_n or_o position_n that_o the_o dial_n ground_n be_v or_o must_v be_v place_v so_o that_o the_o quarter_n of_o the_o world_n write_v thereupon_o may_v answer_v in_o like_a position_n to_o the_o quarter_n of_o the_o world_n as_o they_o lie_v in_o respect_n of_o your_o dial_n ground_n for_o than_o if_o the_o 12._o a_o clock_n line_n be_v towards_o the_o north_n from_o the_o stile_n it_o be_v the_o line_n of_o the_o 12._o hour_n of_o the_o day_n from_o hence_o therefore_o towards_o the_o west_n be_v the_o forenoon_n hour_n 11._o 10._o 9_o 8._o 7._o etc._n etc._n and_o towards_o the_o east_n the_o afternoon_n hour_n 1._o 2._o 3._o 4._o 5._o 6._o etc._n etc._n 7_o but_o if_o the_o 12._o a_o clock_n line_n be_v southward_o from_o the_o stile_n it_o be_v the_o line_n of_o the_o twelve_o hour_n in_o the_o night_n from_o thence_o therefore_o on_o both_o side_n be_v the_o night_n hour_n towards_o the_o west_n after_o midnight_n 1._o 2._o 3._o 4._o etc._n etc._n towards_o the_o east_n before_o midnight_n 11._o 10._o 9_o 8._o etc._n etc._n chap._n xvi_o what_o hour_n line_n be_v to_o be_v express_v in_o all_o sort_n of_o dial_n in_o all_o dial_n those_o hour_n line_n only_o be_v to_o be_v express_v upon_o which_o the_o shadow_n of_o the_o stile_n shall_v fall_v therefore_o the_o hour_n of_o the_o day_n only_o be_v to_o be_v express_v 2_o in_o dial_n not_o polar_a wherein_o the_o height_n of_o the_o stile_n be_v not_o augment_v if_o the_o stile_n point_n upward_o and_o the_o elevation_n thereof_o from_o the_o substilar_a line_n be_v not_o less_o than_o the_o complement_n of_o the_o sun_n great_a declination_n all_o the_o hour_n line_n serve_v for_o the_o long_a day_n be_v to_o be_v express_v therein_o 3_o but_o if_o the_o clevation_n of_o the_o stile_n from_o the_o substilar_a be_v less_o than_o the_o complement_n of_o the_o sun_n great_a declination_n draw_v a_o right_a line_n out_o of_o the_o intersection_n of_o the_o line_n of_o contingence_n and_o substilar_v perpendicular_o overthwart_a the_o stilar_a line_n and_o set_v one_o foot_n of_o your_o compass_n in_o the_o centre_n of_o the_o dial_n and_o extend_v the_o other_o towards_o the_o other_o end_n of_o the_o stilar_a line_n draw_v a_o ark_n there_o from_o equal_a to_o the_o complement_n of_o the_o sun_n great_a declination_n and_o thereby_o draw_v a_o line_n out_o of_o the_o centre_n of_o the_o dial_n and_o set_v one_o foot_n of_o your_o compass_n inthe_n intersection_n of_o this_o line_n with_o the_o foresay_a perpendicular_a extend_v the_o other_o foot_n to_o the_o stilar_a line_n then_o keep_v this_o distance_n set_v one_o foot_n of_o your_o compass_n in_o the_o centre_n of_o the_o aequinoctial_a circle_n and_o with_o the_o other_o across_o the_o line_n of_o contingence_n on_o both_o side_n the_o substilar_a now_o if_o you_o lay_v your_o ruler_n to_o these_o cross_n and_o the_o centre_n of_o the_o dial_n right_a line_n draw_v thereby_o beyond_o the_o centre_n of_o the_o dial_n shall_v continue_v between_o they_o the_o space_n wherein_o no_o hour_n line_n be_v to_o be_v express_v 4_o this_o rule_n hold_v also_o in_o meridional_a dial_n incline_v when_o the_o elevation_n of_o the_o stile_n be_v count_v from_o the_o upper_a end_n of_o

or_o vertical_a point_n be_v above_o your_o head_n the_o nadir_n under_o your_o foot_n note_v also_o which_o end_n of_o the_o meridian_n line_n must_v be_v high_a and_o which_o lower_v if_o the_o meridian_n be_v not_o parallel_v to_o the_o horizon_n chap._n vii_o the_o make_n of_o aequinoctial_a dial_n all_o dial_n ground_n be_v equinoctial_a or_o not_o equinoctial_a 2_o a_o equinoctial_a ground_n be_v that_o which_o agree_v even_o with_o the_o plain_a of_o the_o equinoctial_a circle_n which_o be_v thus_o know_v if_o the_o dial_n ground_n be_v direct_v and_o the_o meridian_n line_n elevate_v southwards_o equal_o to_o the_o complement_n of_o the_o pole_n elevation_n it_o be_v a_o equinoctial_a dial_n ground_n otherwise_o not_o 3_o in_o a_o equinoctial_a dial_n you_o shall_v describe_v the_o hour_n line_n after_o this_o manner_n 4_o set_v one_o foot_n of_o your_o compass_n in_o the_o meridian_n dial_n line_n ab_fw-la and_o with_o the_o other_o draw_v a_o circle_n dbc_n and_o divide_v it_o into_o 24._o equal_a part_n as_o d._n e._n f._n g._n etc._n etc._n beginning_n at_o b._n the_o cross_v thereof_o with_o the_o meridian_n line_n for_o then_o right_a line_n as_o ad._n ae_n af._n ag._n etc._n etc._n in_o the_o 1._o and_o 2._o figure_n draw_v out_o of_o the_o centre_n by_o those_o division_n shall_v be_v the_o hour_n line_n 5_o the_o stile_n must_v stand_v upright_o out_o of_o the_o centre_n stile_n of_o the_o dial_n 6_o of_o equinoctial_a dial_n there_o be_v two_o sort_n the_o upper_a and_o the_o nether_a 7_o the_o upper_a equinoctial_a dial_n look_v upward_o dial_n to_o the_o elevate_v pole_n of_o the_o world_n and_o it_o show_v the_o hour_n of_o the_o day_n only_o in_o the_o spring_n and_o summer_n time_n as_o in_o the_o first_o figure_n 8_o the_o nether_a or_o lower_v equinoctial_a dial_n be_v that_o dial_n which_o look_v downward_o to_o that_o pole_n of_o the_o world_n which_o be_v beneath_o the_o orison_n and_o show_v the_o hour_n only_o in_o autumn_n and_o winter_n as_o in_o the_o second_o figure_n chap._n viii_o the_o find_n of_o the_o substilar_a line_n and_o stile_n in_o ground_n not_o equinoctial_a direct_a and_o polar_a in_o all_o dial_n ground_n that_o be_v not_o equinoctial_a the_o substilar_a line_n and_o the_o distance_n of_o the_o stile_n from_o the_o substilar_a must_v be_v find_v 2_o the_o substilar_a line_n be_v that_o right_n over_o which_o the_o line_n stile_n must_v be_v set_v 3_o the_o distance_n of_o the_o stile_n from_o the_o substilar_a be_v substilar_a the_o angle_n or_o space_n contain_v between_o the_o stile_n and_o the_o substilar_a line_n 4_o the_o find_v out_o of_o these_o be_v diverse_a in_o diverse_a line_n kind_n and_o therefore_o must_v be_v special_o show_v in_o each_o kind_n 5_o in_o direct_a dial_n ground_n not_o equinoctial_a and_o meridian_n polar_n not_o meridian_n the_o substilar_a line_n be_v the_o same_o with_o the_o meridian_n line_n or_o else_o parallel_v thereto_o in_o decline_a polar_n 6_o in_o polar_a ground_n agree_v with_o the_o plain_a of_o polar_n the_o meridian_n the_o substilar_a line_n may_v thus_o be_v find_v 7_o set_v one_o foot_n of_o the_o compass_n in_o the_o south-end_n of_o the_o line_n that_o you_o draw_v equidistant_a from_o the_o horizon_n and_o extend_v the_o other_o foot_n towards_o the_o north_n end_n of_o the_o same_o line_n draw_v a_o ark_n of_o a_o circle_n therein_o reckon_v the_o elevation_n of_o the_o pole_n beginning_n at_o the_o foresay_a line_n for_o a_o right_a line_n draw_v thereby_o out_o of_o the_o centre_n shall_v be_v the_o substilar_a line_n ab_fw-la figure_n 3._o 8_o in_o all_o polar_a ground_n draw_v a_o parallel_n cd_o figu_n dial_n 3._o 4._o 5._o 6._o 7._o 8._o to_o the_o substilar_a line_n at_o a_o convenient_a distance_n from_o the_o same_o for_o that_o shall_v be_v the_o line_n represent_v the_o stile_n chap._n ix_o the_o find_n of_o the_o distance_n of_o the_o stile_n from_o the_o meridian_n line_n in_o dial_n that_n be_v neither_o equinoctial_a nor_o polar_n in_o all_o dial_n ground_n that_o be_v not_o equinoctial_a nor_o polar_n before_o the_o substilar_a line_n and_o distance_n of_o the_o stile_n from_o it_o can_v be_v find_v first_o the_o distance_n of_o the_o stile_n from_o the_o meridian_n line_n must_v be_v find_v after_o this_o manner_n 2_o if_o the_o meridian_n line_n be_v parallel_n to_o the_o horizon_n as_o bc._n the_o distance_n of_o the_o stile_n from_o the_o meridian_n line_n be_v equal_a to_o the_o height_n of_o the_o pole_n as_o br_n 3_o but_o if_o the_o elevation_n of_o the_o meridian_n be_v either_o upright_o as_o ag._n or_o lean_v towards_o the_o north_n and_o withal_o great_a than_o the_o pole_n elevation_n as_o ah_o the_o height_n of_o the_o pole_n br_n take_v out_o of_o the_o height_n of_o the_o meridian_n line_n bh_n or_o bg_n shall_v leave_v the_o distance_n of_o the_o stile_n from_o the_o meridian_n line_n rh_n or_o rg_n 4_o if_o the_o elevation_n of_o the_o meridian_n line_n be_v northwards_o and_o less_o than_o the_o height_n of_o the_o pole_n as_o by_o take_v the_o elevation_n of_o the_o meridian_n line_n by_o out_o of_o the_o height_n of_o the_o pole_n br_n and_o there_o shall_v remain_v the_o distance_n of_o the_o stile_n from_o the_o meridian_n line_n ri._n 5_o if_o the_o elevation_n of_o the_o meridian_n line_n be_v southwards_o and_o either_o great_a or_o equal_a to_o the_o complement_n of_o the_o pole_n elevation_n as_o af._n and_o ae_n than_o the_o complement_n of_o the_o meridian_n line_n elevation_n fg._n or_o eglantine_n add_v to_o the_o complement_n of_o the_o pole_n elevation_n gr._n shall_v make_v the_o distance_n of_o the_o stile_n from_o the_o meridian_n line_n 6_o if_o the_o elevation_n of_o the_o meridian_n line_n be_v southward_o and_o less_o than_o the_o complement_n of_o the_o pole_n elevation_n as_o cd_o the_o elevation_n of_o the_o meridian_n line_n cd_o and_o the_o height_n of_o the_o pole_n c●_n put_v together_o shall_v make_v the_o distance_n of_o the_o stile_n from_o the_o meridian_n line_n chap._n x._o the_o find_v of_o the_o substilar_a line_n and_o the_o distance_n of_o the_o stile_n from_o it_o when_o the_o stile_n make_v a_o right_a angle_n with_o the_o meridian_n line_n second_o in_o a_o ground_n not_o equinoctial_a nor_o polar_a we_o must_v consider_v whether_o the_o stile_n make_v a_o right_a angle_n or_o a_o oblique_a angle_n with_o the_o meridian_n line_n 2_o the_o stile_n shall_v make_v a_o right_a angle_n with_o the_o meridian_n line_n if_o the_o elevation_n of_o the_o meridian_n line_n be_v southwards_o and_o equal_a to_o the_o complement_n of_o the_o pole_n elevation_n as_o in_o the_o 9_o 10._o 11._o and_o 12._o figure_n herein_o a_o right_a line_n draw_v squirewise_o overthwart_a the_o meridian_n line_n towards_o that_o part_n of_o the_o world_n which_o be_v opposite_a to_o that_o whereto_o the_o dial_n ground_n decline_v shall_v be_v the_o substilar_a line_n as_o basilius_n in_o the_o 9_o 10._o 11._o and_o 12._o figu_n and_o the_o distance_n of_o the_o stile_n from_o the_o substilar_a line_n shall_v be_v equal_a to_o the_o angle_n which_o the_o dial_n ground_n make_v with_o the_o plain_a of_o the_o meridian_n circle_n as_o the_o angle_n bad_a fig._n 9_o 10._o 11._o 12._o which_o angle_n be_v find_v by_o the_o three_o chap._n chap._n xi_o from_o which_o end_n of_o the_o meridian_n line_n the_o elevation_n of_o the_o stile_n be_v to_o be_v count_v if_o the_o stile_n make_v a_o oblique_a angle_n with_o the_o meridian_n line_n we_o must_v first_o find_v out_o from_o whether_o end_n of_o the_o meridian_n line_n the_o elevation_n of_o the_o stile_n must_v be_v reckon_v thus_o 2_o if_o the_o meridian_n line_n be_v parallel_n to_o the_o horizon_n as_o in_o the_o 13._o figure_n the_o elevation_n of_o the_o stile_n shall_v be_v reckon_v from_o the_o north_n end_n of_o the_o meridian_n line_n in_o recline_v and_o horizontal_a flat_n look_v upward_o as_o br_n from_o b_o in_o the_o former_a figure_n but_o contrariwise_o in_o incliner_n as_o pc_n from_o c._n in_o the_o same_o figure_n 3_o if_o the_o meridian_n line_n be_v elevate_v the_o one_o end_n high_o than_o the_o other_o from_o the_o horizon_n and_o the_o dial_n ground_n look_v towards_o the_o south_n the_o elevation_n of_o the_o meridian_n be_v also_o northwards_o and_o less_o than_o the_o elevation_n of_o the_o pole_n the_o elevation_n of_o the_o stile_n shall_v be_v count_v from_o the_o upper_a end_n of_o the_o meridian_n line_n as_o ir._n from_o i._n 4_o but_o if_o the_o elevation_n of_o the_o meridian_n be_v great_a than_o the_o elevation_n of_o the_o pole_n or_o upright_o or_o southwards_o and_o great_a than_o the_o complement_n of_o the_o pole_n elevation_n the_o elevation_n of_o the_o stile_n shall_v be_v count_v from_o the_o nether_a

the_o meridian_n line_n and_o the_o elevation_n of_o the_o stile_n from_o the_o substilar_a be_v less_o than_o the_o complement_n of_o the_o sun_n great_a declination_n 5_o if_o the_o stile_n point_n downward_o no_o hour_n line_n be_v to_o be_v express_v above_o a_o line_n parallel_n to_o the_o horizon_n draw_v by_o the_o centre_n of_o the_o dial._n 6_o and_o if_o the_o cross_n in_o the_o line_n of_o contingence_n make_v as_o before_o be_v show_v be_v above_o the_o line_n aequidistant_n to_o the_o horizon_n draw_v by_o the_o centre_n of_o the_o dial_n no_o hour_n line_n be_v to_o be_v express_v above_o a_o right_a line_n draw_v from_o the_o cross_n and_o continue_a beyond_o the_o centre_n of_o the_o dial._n 7_o if_o any_o part_n of_o the_o dial_n whereupon_o the_o shadow_n of_o the_o stile_n may_v fall_v be_v void_a of_o hour_n line_n let_v the_o hour_n line_n before_o describe_v be_v continue_v forth_o into_o that_o part_n of_o the_o dial_n as_o in_o the_o 13_o and_o 15_o figure_n chap._n xvii_o how_o to_o translate_v the_o dial_n draw_v on_o paper_n or_o paste-board_n unto_o the_o dial_n ground_n the_o figure_n of_o your_o dial_n be_v thus_o describe_v you_o shall_v translate_v the_o same_o into_o the_o dial_n ground_n after_o this_o manner_n 2_o place_v the_o paper_n or_o pastebord_n whereas_o the_o figure_n of_o your_o dial_n be_v describe_v in_o such_o sort_n in_o the_o dial_n ground_n be_v place_v so_o as_o the_o quarter_n of_o the_o world_n write_v on_o the_o paper_n or_o pastebord_n may_v answer_v in_o like_a position_n to_o the_o quarter_n of_o the_o world_n as_o they_o lie_v in_o respect_n of_o the_o dial_n ground_n 3_o then_o as_o the_o hour_n line_n and_o substilar_a line_n be_v describe_v in_o your_o pastebord_n so_o in_o like_a manner_n and_o in_o like_a position_n let_v they_o be_v inscribe_v unto_o your_o dial_n ground_n that_o so_o little_a part_n of_o the_o ground_n as_o may_v be_v be_v leave_v void_a of_o hour_n line_n serve_v for_o use_n and_o that_o the_o space_n on_o both_o side_n from_o the_o substilar_a line_n draw_v on_o the_o dial_n ground_n be_v proportionable_a to_o the_o number_n of_o hour_n line_n that_o be_v to_o be_v express_v in_o the_o dial._n 4_o in_o polar_a dial_n draw_v a_o right_a line_n squirewise_a overthwart_o the_o substilar_a in_o the_o dial_n ground_n then_o take_v with_o your_o compass_n the_o distance_n of_o the_o hour_n line_n from_o the_o substilar_a in_o the_o pastebord_n and_o set_v they_o into_o that_o line_n draw_v squirewise_a in_o the_o dial_n ground_n set_v always_o on_o foot_n in_o the_o intersection_n thereof_o with_o the_o substilar_a line_n and_o with_o the_o other_o foot_n make_v prick_n in_o the_o say_a line_n draw_v squirewise_a and_o let_v parallel_n to_o the_o substiar_n line_n be_v draw_v by_o those_o prick_v for_o they_o shall_v be_v the_o hour_n line_n we_o seek_v for_o set_v into_o the_o dial_n ground_n 5_o the_o stile_n must_v be_v parallel_n to_o the_o substilar_a line_n and_o must_v be_v place_v direct_o over_o it_o so_o much_o distant_a from_o the_o same_o as_o the_o stilar_a line_n be_v distant_a from_o the_o substilar_a in_o the_o figure_n of_o your_o dial_n draw_v on_o the_o pasteboard_n or_o paper_n 6_o in_o dial_n that_n be_v not_o polar_n wherein_o the_o elevation_n of_o the_o stile_n from_o the_o substilar_a be_v not_o augment_v describe_v two_o periphery_n of_o equal_a bigness_n on_o the_o dial_n ground_n the_o centre_n thereof_o be_v place_v in_o the_o meridian_n line_n the_o other_o upon_o the_o centre_n of_o the_o dial_n in_o the_o bastbord_n then_o in_o this_o peripherie_n take_v the_o distance_n of_o the_o substilar_a and_o the_o hour_n line_n from_o the_o meridian_n with_o your_o compass_n out_o of_o the_o figure_n of_o your_o dial_n in_o the_o paper_n or_o pasteboard_n &_o set_v those_o distance_n likewise_o into_o the_o dial_n ground_n and_o by_o they_o draw_v the_o hour_n line_n and_o the_o substilar_a from_o the_o centre_n of_o the_o dial_n 7_o the_o stile_n must_v be_v fasten_v in_o the_o centre_n and_o must_v hang_v direct_o over_o the_o substilar_a elevate_v so_o much_o from_o the_o same_o as_o the_o stilar_a line_n in_o the_o figure_n of_o your_o dial_n be_v distant_a from_o the_o substilar_a 8_o but_o in_o dial_n that_n be_v not_o polar_n wherein_o the_o elevation_n of_o the_o stile_n from_o the_o substilar_a be_v augment_v let_v the_o substilar_a line_n be_v describe_v in_o the_o dial_n ground_n so_o much_o distant_a from_o the_o meridian_n which_o you_o first_o describe_v therein_o as_o the_o substilar_a be_v distant_a from_o the_o meridian_n in_o the_o figure_n of_o your_o dial_n and_o let_v two_o line_n of_o contingence_n be_v draw_v squirewise_a overth_n wart_n that_o substilar_a in_o the_o dial_n ground_n so_o much_o distant_a each_n from_o other_o as_o the_o line_n of_o contingence_n in_o the_o paper_n be_v and_o let_v the_o distance_n of_o the_o hour_n line_n from_o the_o substilar_a line_n be_v take_v in_o both_o line_n of_o contingence_n in_o the_o figure_n of_o the_o dial_n and_o be_v set_v in_o like_a manner_n in_o to_o the_o line_n of_o contingence_n answer_v to_o they_o in_o the_o dial_n ground_n set_v one_o foot_n of_o your_o compass_n always_o in_o the_o substilar_a line_n which_o be_v in_o the_o dial_n ground_n and_o with_o the_o other_o make_v mark_n in_o the_o line_n of_o contingence_n draw_v therein_o for_o then_o right_a line_n draw_v by_o those_o mark_n differ_v alike_o from_o the_o substilar_a line_n shall_v be_v the_o hour_n line_n the_o stile_n must_v hang_v perpendicular_o over_o the_o substilar_a line_n so_o much_o distant_a from_o the_o same_o and_o from_o the_o section_n thereof_o with_o the_o line_n of_o contingence_n as_o the_o stile_n augment_v in_o the_o figure_n of_o your_o dial_n be_v distant_a from_o the_o substilar_a equinoctial_a dial_n north_n direct_v recline_v 51._o degree_n ●0_n minute_n or_o the_o upper_a equinoctial_a dial_n south_n direct_a incline_v 51._o degree_n 30._o minute_n the_o manner_n of_o find_v the_o substilar_a line_n in_o meridian_n polar_a dial_n this_o example_n serve_v for_o the_o oriental_a dial_n meridian_n polar_a dial_n a_o south_n direct_a dial_n recline_v 38_o degree_n 30._o minute_n or_o a_o south_n direct_a polar_n dial_n a_o north_n direct_a dial_n incline_v 38_o degree_n 30._o minute_n or_o a_o north_n direct_a polar_n dial_n south_n decline_v eastward_o 27._o degree_n recline_v 34._o degree_n 40._o minute_n north_n decline_v westward_o 36_o degree_n incline_v 32._o degree_n 15_o minute_n north_n decline_v eastward_o 43._o degree_n recline_v 42._o degree_n 20._o minute_n wherein_o the_o stile_n and_o meridian_n line_n make_v right_a angle_n north_n decline_v 84._o degree_n westward_o recline_v 7_o degree_n 20_o minute_n the_o stile_n pendicular_a to_o the_o meridian_n line_n south_n decline_v eastward_o 31_o degree_n incline_v 48_o degree_n ●0_n min._n the_o stile_n perpendicular_a to_o the_o meridian_n south_n decline_v westward_o 86_o degree_n 40._o min._n incline_v 4._o degree_n style_v perpendicular_a to_o the_o meridian_n in_o all_o the_o figure_n follow_v the_o stile_n make_v a_o sharp_a angle_n with_o the_o meridian_n a_o direct_a dial_n lie_v level_a with_o the_o horizon_n common_o call_v a_o horizontal_n dial_n a_o south_n dial_n erect_v direct_v a_o north_n dial_n erect_v direct_v a_o south_n dial_n erect_v decline_v eastward_o 30._o degr_n a_o south_n erect_v dial_n decline_v westward_o 80._o degr_n north_n decline_v westward_o 41._o de_fw-la 40._o min._n reclin_n 4●_n de_fw-fr 30._o min._n also_o in_o the_o diagramme_n place_v there_o and_o in_o the_o leaf_n follow_v let_v k_o &_o ●_o be_v change_v each_o into_o other_o place_n the_o dial_n ground_n horizontal_n flat_n and_o how_o they_o be_v know_v elevate_v flat_n erect_v incline_v reclining_a and_o how_o they_o be_v to_o be_v know_v to_o know_v how_o much_o the_o reclination_n or_o inclination_n be_v how_o to_o draw_v the_o meridian_n line_n in_o horizontall_a flat_n in_o erect_v flat_n in_o direct_a flat_n in_o recline_v or_o incline_v flat_n decline_v 90._o degree_n in_o incline_v or_o recline_a flat_n decline_v less_o than_o 90._o degree_n to_o find_v the_o angle_n which_o the_o dial_n ground_n or_o flat_a make_v with_o the_o plain_a of_o the_o meridian_n how_o to_o find_v the_o elevation_n of_o the_o meridian_n line_n the_o elevation_n of_o the_o meridian_n line_n in_o erect_a dial_n in_o recline_v or_o incline_v direct_a flat_n in_o recline_v or_o incline_v decline_a flat_n the_o elevation_n of_o the_o meridian_n whether_o north_n or_o south_n flat_n polar_n not_o polar_n how_o to_o make_v equinoctial_a dial_n place_v of_o the_o stile_n upper_a equinoctial_a dial_n neither_o equinoctial_a dial_n substilar_a line_n distance_n of_o the_o stile_n from_o the_o substilar_a the_o find_n of_o the_o substilar_a line_n in_o direct_a flat_n not_o aquinoctial_a in_o polar_n not_o meridian_n in_o meridian_n polar_n the_o stilar_a line_n in_o all_o polar_a dial_n the_o stile_n augment_v