Selected quad for the lemma: hand_n

Word A	Word B	Word C	Word D	Occurrence	Frequency Band	MI	MI Band	Prominent
hand_n	left_a	right_a	side_n	20,818	5	7.2755	4	true

Text snippets containing the quad

ID	Title	Author	Corrected Date of Publication (TCP Date of Publication)	STC	Words	Pages
A29762	Horologiographia, or, The art of dyalling being the second book of the use of the trianguler-quadrant : shewing the natural, artificial, and instrumental way, of making of sun-dials, on any flat superficies, with plain and easie directions, to discover their nature and affections, by the horizontal projection : with the way of drawing the usual ornaments on any plain : also, a familiar easie way to draw those lines on the ceiling of a room, by the trianguler quadrant : also, the use of the same instrument in navigation, both for observation, and operation : performing the use of several sea-instruments still in use / by John Brown, philomath.	Brown, John, philomath.	1671 (1671)	Wing B5042; ESTC R17803	103,467	309

will_v serve_v very_o well_o this_o be_v a_o general_a way_n of_o augment_v all_o manner_n of_o dial_n when_o the_o style_n height_n be_v low_a as_o under_o 15_o degree_n and_o as_o ready_a a_o way_n as_o you_o meet_v with_o in_o any_o author_n whatsoever_o chap._n vi_o to_o draw_v the_o hour-line_n on_o decline_a recline_a dial_n for_o the_o complete_a and_o true_a draw_v of_o these_o dial_n that_o you_o may_v plain_o see_v their_o affection_n and_o property_n it_o will_v be_v necessary_a to_o have_v a_o scheam_n for_o every_o variety_n in_o do_v whereof_o i_o shall_v follow_v the_o method_n that_o mr._n wells_n of_o deptford_n use_v in_o his_o art_n of_o shadow_n which_o will_v comprehend_v any_o sort_n of_o recline_v and_o decline_a dial_n under_o 6_o variety_n viz._n 3_o south_n recliner_n and_o 3_o north_n recliner_n the_o incline_v being_n their_o opposite_n and_o no_o other_o as_o afterward_o be_v show_v wherein_o i_o shall_v be_v very_o brief_a yet_o sufficient_o plain_a to_o a_o mathematical_a genius_n and_o render_v the_o canon_n by_o artificial_a and_o natural_a sin_n and_o tangent_n and_o draw_v the_o dial_n by_o the_o sector_n the_o fit_a instrument_n for_o that_o use_n with_o other_o occurrent_a observation_n as_o they_o come_v in_o place_n and_o the_o way_n by_o the_o scheam_n geometrical_o also_o 1._o and_o first_o for_o a_o south-declining_a recline_a dial_n decline_v from_o the_o south_n towards_o the_o west_n 35_o degree_n and_o recline_v from_o the_o zenith_n 20_o degree_n be_v less_o than_o to_o the_o pole_n viz._n fall_v from_o you_o between_o the_o zenith_n and_o the_o pole_n as_o the_o circle_n aeb_fw-mi represent_v the_o recline_a plain_n plain_o show_v p_o be_v the_o pole_n and_o z_o the_o zenith_n the_o manner_n of_o draw_v this_o scheam_n be_v plain_o show_v before_o chap._n 1_o both_o general_o and_o particular_o for_o the_o draw_v of_o dial_n and_o the_o example_n there_o be_v the_o very_a scheam_n for_o this_o dial_n wherein_o you_o may_v further_o consider_v that_o the_o perpendiculer-line_n be_v right_a before_o you_o and_o when_o you_o look_v right_a on_o this_o plain_a that_o decline_v southwest_n the_o north_n be_v before_o you_o on_o the_o left_a hand_n the_o south_n behind_o you_o on_o the_o right_a hand_n 35_o degree_n the_o east_n on_o the_o right_a hand_n the_o west_n on_o the_o left_a the_o line_n cd_o the_o perpendiculer-line_n right_a before_o you_o represent_v the_o perpendiculer-line_n on_o the_o plain_a ab_fw-la the_o horizontal-line_n see_fw-mi the_o quantity_n of_o reclination_n pf_n the_o stiles_n elevation_n above_o the_o plain_a have_v the_o south_n pole_n elevate_v above_o the_o lower-part_n of_o the_o plain_a because_o the_o north-pole_n be_v behind_o the_o plain_a eglantine_n the_o distance_n on_o the_o plain_a between_o the_o plain_n perpendicule_a and_o the_o meridian_n be_v to_o be_v lay_v eastward_n as_o the_o dial-draught_n show_v beside_o that_o general_a rule_n before_o hint_v that_o whensoever_o a_o plain_a decline_v eastward_o the_o substile_a line_n must_v stand_v westward_o and_o the_o contrary_a for_o the_o arch_n whereon_o to_o prick_v the_o substile_a and_o style_n be_v always_o to_o be_v draw_v on_o that_o side_n of_o the_o plain_a which_o be_v contrary_a to_o the_o coast_n of_o declination_n of_o the_o distance_n from_o the_o substile_a and_o perpendicule_a to_o be_v lay_v the_o same_o way_n gf_n the_o distance_n on_o the_o plain_a from_o the_o substile_a to_o the_o meridian_n to_o be_v lay_v the_o same_o way_n also_o the_o angle_n fpg_n be_v the_o inclination_n of_o meridian_n all_o which_o requisite_n be_v find_v by_o these_o canon_n arithmetical_o or_o by_o the_o artificial_a and_o natural_a sin_n and_o tangent_n 1._o to_o find_v the_o distance_n of_o 12_o from_o the_o perpendicule_a eglantine_n or_o horizon_n agnostus_n by_o the_o second_o axiom_n of_o mr._n gellibrand_n viz._n that_o the_o sin_n of_o the_o base_a and_o tangent_fw-la of_o the_o perpendicule_a be_v proportional_a by_o the_o sector_n and_o quadrant_n as_o sine_fw-la 90_o radius_fw-la zd_fw-mi 90_o 00_o to_o tang._n of_o declin_n plain_n nd_o 35_o 00_o so_o sine_fw-la of_o reclin_n plain_a see_fw-mi 20_o 00_o to_o tang._n of_o perp._n &_o 12_o eglantine_n 13_o 28_o who_o be_v compliment_n ac_fw-la 76_o 32_o be_v the_o distance_n from_o the_o east-end_n of_o the_o horizon_n to_o 12._o as_o tangent_fw-la of_o nd_o 35_o 0_o to_o =_o sine_fw-la of_o zd_v 90_o 0_o so_o =_o sine_fw-la of_o see_fw-mi 20_o 0_o to_o tangent_fw-la of_o eglantine_n 13_o 28_o the_o distance_n of_o 12_o from_o the_o perpendicule_a 2._o to_o find_v the_o distance_n on_o the_o meridian_n from_o the_o pole_n to_o the_o plain_a pg_n by_o the_o 3_o proposition_n of_o mr._n gellibrand_n the_o sin_n of_o the_o side_n be_v proportional_a to_o the_o sin_n of_o their_o opposite_a angle_n by_o the_o quadrant_n and_o sector_n as_o the_o sine_fw-la of_o the_o perpendicule_a from_o 12_o ge_n 13-28_a to_o the_o sine_fw-la of_o declination_n gze_v 35-00_a so_o be_v the_o sine_fw-la of_o 90_o gez_n 90-0_a to_o the_o sine_fw-la of_o the_o distance_n on_o the_o meridian_n from_o the_o plain_a to_o the_o zenith_n gz_n 23-55_a as_o sine_z 90-0_a gep_o to_o =_o sine_fw-la 35-0_a gze_n so_o =_o sine_fw-la 13-28_a ge_n to_z sine_fw-la 23-55_a gz_n which_o take_v from_o 38-28_a give_v pg_n 14-33_a which_o be_v take_v from_o 38-28_a the_o distance_n on_o the_o meridian_n from_o the_o pole_n to_o the_o zenith_n leave_v the_o distance_n on_o the_o meridian_n of_o the_o place_n from_o the_o pole_n to_o the_o plain_a viz._n 14-33_a as_o a_o help_n to_o get_v the_o next_o 3._o to_o find_v the_o height_n of_o the_o style_n above_o the_o plain_a pf_n in_o the_o two_o triangle_n zge_n and_o pgf_n which_o be_v vertical_a by_o the_o second_o consectary_n of_o mr._n gellibrand_n if_o two_o perpendicule_a ark_n subtend_v equal_a angle_n on_o each_o side_n of_o the_o meeting_n than_o the_o sin_n of_o their_o hypothenusaes_n and_o perpendiculer_o be_v proportional_a and_o the_o contrary_a for_o the_o angel_n zge_n and_o pgf_n be_v equal_a angle_v at_o g_o and_o see_fw-mi and_o pf_n be_v both_o two_o perpendicule_a ark_n on_o the_o plain_n ab_fw-la therefore_o as_o the_o sine_fw-la of_o the_o hypothenusa_n gz_n to_o the_o sine_fw-la of_o the_o perpendicule_a see_fw-mi so_o be_v the_o sine_fw-la of_o the_o hypothenusa_n pg_n to_o the_o sine_fw-la of_o the_o perpendicule_a pf_n and_o the_o contrary_n then_o thus_o by_o the_o quadrant_n and_o sector_n as_o sine_fw-la of_o the_o arch_n of_o the_o merid._n from_o the_o zenith_n to_o the_o plain_a zg_v 23-57_a to_o sine_fw-la of_o the_o reclination_n see_fw-mi 20_o 00_o so_o be_v the_o sine_fw-la of_o the_o arch_n on_o the_o meridian_n from_o the_o pole_n to_o the_o plain_a pg_n 14-33_a to_o sine_fw-la of_o the_o style_n height_n pf_n 12-13_a as_o sine_z of_o pg_n 14-33_a to_o =_o sine_fw-la of_o zg_v 23-58_a so_o =_o sine_fw-la of_o see_fw-mi 20-00_a to_o sine_z of_o pf_n 12-13_a 4._o to_o find_v the_o distance_n of_o the_o substile_a from_o the_o meridian_n gf_n in_o the_o same_o vertical_a triangle_n have_v the_o same_o acute_a angle_n at_o the_o base_a the_o tangent_n of_o the_o perpendiculer_o be_v proportional_a to_o the_o sin_n of_o the_o base_a by_o the_o second_o axiom_n of_o mr._n gellibrand_n therefore_o by_o the_o quadrant_n and_o sector_n as_o the_o tang._n of_o the_o reclin_n see_fw-mi 20-0_a to_o the_o sine_fw-la of_o the_o distance_n on_o the_o plain_a from_o the_o perpend_v to_o the_o merid._n ge_n 13-28_a so_o be_v the_o t._n of_o the_o stills_n height_n pf_n 12-13_a to_o the_o s._n of_o the_o sub_v fr._n 12_o fg_v 7-58_a as_o sine_z of_o ge_n 13-28_a to_o =_o tang._n of_o see_fw-mi 20-0_a so_fw-ge =_o tang._n of_o pf_n 12-13_a to_o sine_z of_o fg_v 7-58_a 5._o to_o find_v the_o angle_n between_o the_o two_o meridian_n of_o the_o place_n and_o plain_n viz._n the_o angle_n pfg_n by_o the_o three_o proposition_n of_o mr._n gellibrand_n it_o be_v prove_v that_o the_o sin_n of_o the_o side_n be_v proportional_a to_o the_o sin_n of_o their_o opposite_a angle_n and_o the_o contrary_n therefore_o by_o the_o quadrant_n and_o sector_n as_o the_o sine_fw-la of_o the_o dist._n on_o the_o merid._n from_o the_o pole_n to_o plain_a pg_n 14-33_a to_o the_o s._n of_o 90_o the_o opp_n angle_n pfg_v 90-00_a so_o be_v the_o s._n of_o the_o sub_v fr._n 12_o fg_v 07-58_a to_o the_o s._n of_o the_o inclin_n merid._n fpg_n 33-28_a as_o =_o sine_fw-la of_o the_o side_n 07-58_a fg_n to_o =_o sine_fw-la of_o the_o side_n 14-33_a pg_n so_o =_o sine_fw-la of_o the_o angle_n 90-00_a pfg_n to_o sine_z of_o the_o angle_n 33-28_a fpg_n the_o angle_n between_o the_o 2_o meridian_n by_o angle_n of_o inclination_n of_o meridian_n make_v the_o table_n of_o the_o

and_o north-east_n incliner_n that_o have_v the_o south-pole_n elevate_v you_o must_v draw_v they_o as_o southeast_n and_o west-decliners_a which_o will_v direct_v as_o to_o the_o right_a way_n of_o place_v the_o substile_a and_o hour_n of_o 6_o from_o 12._o in_o this_o place_n i_o shall_v also_o insert_v the_o general_a way_n by_o calculation_n to_o find_v the_o new_a latitude_n as_o well_o as_o new_a declination_n which_o be_v thus_o as_o radius_fw-la or_o sine_fw-la of_o 90_o to_o the_o cousin_a of_o the_o plain_n old_a declination_n so_o be_v the_o co-tangent_a of_o the_o reclination_n or_o inclin_n to_o the_o tang._n of_o a_o four_o ark._n then_o in_o south_n recliner_n and_o in_o north_n incliner_n get_v the_o difference_n between_o this_o four_o ark_n and_o the_o latitude_n of_o your_o place_n and_o the_o compliment_n of_o that_o difference_n be_v the_o new_a latitude_n if_o the_o four_o ark_n be_v less_o than_o the_o old_a latitude_n than_o the_o contrary_a pole_n be_v elevate_v but_o if_o it_o be_v equal_a to_o the_o old_a latitude_n it_o be_v a_o polar-plain_a but_o in_o south_n incliner_n and_o in_o north_n recliner_n the_o difference_n between_o the_o four_o ark_n and_o the_o compliment_n of_o the_o latitude_n of_o the_o place_n or_o old_a latitude_n shall_v be_v the_o new_a latitude_n when_o the_o four_o ark_n and_o old_a latitude_n be_v equal_a it_o be_v a_o equinoctial-plain_a thus_o in_o this_o example_n as_o sine_fw-la 90_o to_o cousin_a of_o 35_o the_o old_a declination_n so_o be_v co-tangent_a of_o 20_o the_o reclination_n to_o 66-03_a for_o a_o four_o ark_n from_o which_o take_v 51-32_a the_o old_a latitude_n rest_v 14-31_a the_o compliment_n of_o the_o new_a latitude_n which_o will_v be_v find_v to_o be_v 75-29_a the_o new_a latitude_n by_o which_o new_a latitude_n and_o new_a declination_n if_o you_o work_v as_o for_o a_o erect_a dial_n you_o shall_v find_v the_o same_o requisite_n as_o by_o the_o former_a operation_n you_o have_v do_v and_o the_o distance_n of_o the_o perpendicule_a and_o meridian_n will_v set_v all_o right_a the_o second_o variety_n of_o south_n recliner_n recline_v just_a to_o the_o pole_n 1._o the_o scheam_n be_v draw_v as_o before_o to_o the_o same_o declination_n and_o the_o same_o way_n viz._n 35_o degree_n westward_o and_o recline_v 33-3′_a now_o to_o try_v whether_o such_o a_o plain_n be_v just_o a_o polar-plain_a or_o no_o use_v this_o proportion_n by_o the_o sector_n as_o the_o sine_fw-la of_o 90_o da_fw-la 90-0_a to_o cousin_a of_o declin_n no_z 55-0_a so_o co-tang_n of_o reclin_n de_fw-fr 56-57_a to_o tang._n of_o latitude_n np_v 51-32_a as_o cousin_a declination_n na_n 55-00_a to_o =_o sine_fw-la of_o ad_fw-la 90-00_a so_n be_v =_o co-tang_n of_o reclin_n de_fw-fr 56-57_a being_n take_v from_o the_o small_a tangent_n to_o tangent_fw-la of_o np_v 51-32_a be_v measure_v from_o the_o centre_n on_o the_o same_o small_a tangent_n which_o four_o ark_n if_o it_o hit_v to_o be_v right_o the_o latitude_n than_o it_o be_v a_o decline_a polar-plain_a or_o else_o not_o 2._o if_o you_o have_v a_o declination_n give_v to_o which_o you_o will_v find_v a_o reclination_n to_o make_v it_o polar_a than_o reason_n thus_o by_o the_o sector_n as_o the_o cousin_a of_o the_o declin_n a_o 55-0_a to_o the_o radius_fw-la or_o sine_fw-la of_o ad_fw-la 90-0_a so_n be_v the_o tang._n of_o the_o lat._n pn_n 51-32_a to_o the_o co-tang_n of_o the_o reclin_n de_fw-fr 56-57_a as_o tangent_fw-la of_o np_v 51-30_a to_o =_o sine_fw-la of_o a_o 55-00_a so_o =_o sine_fw-la of_o ad_fw-la 90-00_a to_o tangent_fw-la of_o de_fw-fr 56-57_a 3._o if_o the_o reclination_n be_v give_v and_o the_o declination_n require_v to_o make_v it_o a_o polar_a than_o the_o canon_n may_v be_v thus_o by_o the_o sector_n as_o the_o co-tang_n of_o the_o reclin_n de_fw-fr 56-57_a to_o the_o radius_fw-la or_o sine_fw-la of_o ad_fw-la 90-00_a so_n be_v the_o tang._n of_o the_o lat._n np_v 51-32_a to_o the_o cousin_a of_o the_o declin_n no_z 55-00_a as_o co-tang_n reclination_n de_fw-fr 56-57_a to_z =_o sine_fw-la of_o ad_fw-la 90-00_a so_n tang._n of_o latitude_n nd_o 51-32_a to_o =_o cousin_a of_o declination_n na_fw-mi 55-00_a but_o by_o the_o scheam_n these_o three_o operation_n be_v find_v by_o draw_v the_o scheam_n 1._o for_o if_o the_o line_n or_o circle_n represent_v the_o plain_a cut_v the_o pole_n p_o it_o be_v a_o polar-dial_n 2._o if_o ab_fw-la the_o codeclination_n be_v give_v then_o draw_v the_o circle_n apb_n and_o it_o give_v e_z then_z see_fw-mi be_v the_o reclination_n measure_v by_o half_a tangent_n or_o a_o rule_n lay_v from_o a_o to_o e_o on_o the_o limb_n give_v a_o ark_n from_o b_o which_o measure_v on_o fit_a chord_n be_v the_o reclination_n 3._o if_o p_o the_o pole-point_n and_o see_fw-mi the_o reclinatin_n be_v give_v then_o with_o the_o distance_n see_fw-mi on_o z_o as_o a_o centre_n draw_v a_o ark_n of_o a_o circle_n in_o that_o quadrant_n which_o be_v contrary_a to_o the_o coast_n of_o declination_n observe_v the_o letter_n in_o the_o scheam_n then_o by_o the_o convexity_n of_o that_o ark_n and_o the_o pole-point_n p_o draw_v the_o circle_n pe_n cut_v the_o limb_n into_o two_o equal_a part_n which_o be_v the_o point_v a_o &_o b_o the_o declination_n require_v this_o be_v premise_v there_o be_v two_o thing_n requisite_a to_o be_v find_v before_o you_o can_v draw_v the_o dial._n viz._n the_o substile_a from_o the_o perpendicule_a or_o horizon_n and_o the_o inclination_n of_o meridian_n 1._o and_o first_o for_o the_o substile_a by_o the_o sector_n as_o the_o sine_fw-la of_o pez_n 90-0_a to_o the_o cousin_a of_o the_o lat._n pz_fw-fr 38-28_a so_o the_o sine_fw-la of_o the_o declination_n pze_v 35-00_a to_o the_o sine_fw-la of_o substile_n from_o perp._n pe_n 20-54_a as_o sine_z of_o declination_n pze_v 35-0_a to_o =_o sine_fw-la of_o pez_n 90-0_a so_o =_o sine_fw-la of_o co-latitude_n pz_n 38-28_a to_o sine_z of_o substile_n from_o perp._n fe_o 20-54_a the_o distance_n of_o the_o substile_a from_o the_o perpendicule_a who_o compliment_n 69-06_a be_v the_o elevation_n above_o the_o horizon_n or_o a_o rule_n lay_v from_o q_o to_o p_o give_v i_o diego_n be_v 20-54_a 2._o for_o the_o inclination_n of_o meridian_n say_v by_o the_o sector_n as_o the_o cousin_a of_o the_o latitude_n pz_fw-fr 38-28_a to_o the_o sine_fw-la of_o pez_n 90-00_a so_o the_o sine_fw-la of_o the_o reclin_n see_fw-mi 33-03_a to_o the_o cousin_a of_o incl._n mer._n zpe_v 61-15_a who_o compliment_n zpq_n 28-45_a be_v the_o inclination_n of_o meridian_n require_v as_o sine_z of_o reclination_n see_fw-mi 33-3_a to_z =_o cousin_a of_o latitude_n pz_n 38-28_a so_o =_o sine_fw-la of_o 90_o pez_n 90-00_a to_o cousin_a of_o incl._n mer._n zpe_v 61-15_a who_o compliment_n qpz_n 28-45_a be_v the_o inclin_n of_o meridian_n require_v or_o a_o rule_n lay_v from_o p_o to_o y_o gives_z m_n em_n be_v 28-45_a the_o inclination_n of_o meridian_n again_o 8_o 88_o 45_o  _fw-fr 81_o 15_o 9_o 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