Selected quad for the lemma: end_n

Word A	Word B	Word C	Word D	Occurrence	Frequency Band	MI	MI Band	Prominent
end_n	east_n	point_n	west_n	1,970	5	9.4719	5	true

Text snippets containing the quad

ID	Title	Author	Corrected Date of Publication (TCP Date of Publication)	STC	Words	Pages
A89305	Horlogiographia optica. Dialling universall and particular: speculative and practicall. In a threefold præcognita, viz. geometricall, philosophicall, and astronomicall: and a threefold practise, viz. arithmeticall, geometricall, and instrumentall. With diverse propositions of the use and benefit of shadows, serving to prick down the signes, declination, and azimuths, on sun-dials, and diverse other benefits. Illustrated by diverse opticall conceits, taken out of Augilonius, Kercherius, Clavius, and others. Lastly, topothesia, or, a feigned description of the court of art. Full of benefit for the making of dials, use of the globes, difference of meridians, and most propositions of astronomie. Together with many usefull instruments and dials in brasse, made by Walter Hayes, at the Crosse Daggers in More Fields. / Written by Silvanus Morgan.	Morgan, Sylvanus, 1620-1693.; Goddard, John, fl. 1645-1671, engraver.	1652 (1652)	Wing M2741; Thomason E652_16; ESTC R202919	57,946	133

n_o w_n 67_o 30_o e_o by_o n_o 78_o 45_o w_n by_o n_n 78_o 45_o east_n 90_o 00_o west_n 90_o 00_o by_o which_o it_o appear_v that_o every_o point_n of_o the_o compass_n be_v distant_a from_o the_o meridian_n 11_o degree_n 15_o minute_n the_o three_o sort_n of_o plane_n be_v incline_v or_o rather_o recline_v who_o upper_a face_n behold_v the_o zenith_n and_o in_o that_o respect_n be_v call_v recline_v but_o if_o a_o dial_n be_v make_v on_o the_o nether_a side_n and_o thereby_o respect_v the_o horizon_n it_o be_v then_o call_v a_o incliner_n so_o that_o the_o one_o be_v the_o opposite_a to_o the_o other_o these_o plane_n be_v likewise_o accidental_o divide_v for_o they_o be_v either_o direct_a recliner_n recline_v from_o the_o direct_a point_n of_o east_n west_n north_n and_o south_n and_o in_o this_o sort_n happen_v the_o direct_a polar_a and_o equinoctial_a plane_n as_o infinite_a more_o according_a to_o the_o inclination_n or_o reclination_n of_o the_o plane_n or_o they_o be_v as_o 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which_o way_n be_v thus_o strike_v a_o circle_n on_o a_o plain_a superficies_fw-la and_o raise_v a_o wire_n or_o such_o like_a in_o the_o centre_n to_o cast_v a_o shadow_n then_o observe_v in_o the_o forenoon_n when_o the_o shadow_n be_v so_o that_o it_o just_o touch_v the_o circumference_n or_o edge_n of_o the_o circle_n and_o there_o make_v a_o mark_n do_v so_o again_o in_o the_o afternoon_n and_o at_o the_o edge_n where_o the_o shadow_n go_v out_o make_v another_o mark_n between_o which_o two_o mark_n draw_v a_o line_n which_o part_n in_o half_a then_o from_o that_o middle_a point_n to_o the_o centre_n draw_v a_o line_n which_o be_v a_o true_a meridian_n or_o thus_o draw_v a_o great_a many_o circle_n concentrical_a one_o within_o another_o then_o observe_v by_o the_o circle_n about_o noon_n when_o the_o sun_n cast_v the_o short_a shadow_n and_o that_o then_o shall_v represent_v a_o true_a meridian_n the_o reason_n why_o you_o must_v observe_v the_o length_n of_o the_o shadow_n by_o 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the_o morning_n hour_n and_o 6_o 7_o 8_o the_o evening_n and_o because_o the_o north_n pole_n be_v elevate_v above_o this_o plane_n 38_o deg._n 30_o min._n the_o axis_n must_v be_v from_o the_o centre_n according_a to_o that_o elevation_n point_v upward_o as_o the_o south_n do_v downward_o so_o as_o a_o be_v the_o zenith_n of_o the_o south_n c_o must_v be_v in_o the_o north_n the_o arithmetical_a calculation_n be_v the_o same_o with_o the_o former_a also_o a_o north_n plane_fw-la may_v show_v all_o the_o hour_n of_o the_o south_n by_o consideration_n of_o reflection_n for_o by_o optical_a demonstration_n it_o be_v prove_v that_o the_o angle_n of_o incidence_n be_v all_o one_o to_o that_o of_o reflection_n if_o any_o be_v ignorant_a thereof_o i_o purposely_o remit_v to_o teach_v it_o to_o whet_v the_o ingenious_a reader_n in_o labour_v to_o find_v it_o the_o figure_n of_o a_o direct_a east_n and_o west_n dial_n for_o the_o latitude_n of_o london_n 51_o deg._n 30_o min._n east_n dial_n 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the_o tangent_fw-la of_o the_o equinoctial_a distance_n the_o arithmetical_a calculation_n 1_o have_v draw_v a_o line_n for_o the_o hour_n of_o 6_o whether_o east_n or_o west_n as_o the_o tangent_fw-la of_o the_o hour_n distance_n be_v to_o the_o radius_fw-la so_o be_v the_o distance_n of_o the_o hour_n from_o 6_o to_o the_o height_n of_o the_o style_n 2_o as_o the_o radius_fw-la be_v to_o the_o height_n of_o the_o style_n so_o be_v the_o tangent_fw-la of_o the_o hour_n distance_n from_o 6_o to_o the_o distance_n of_o the_o same_o hour_n from_o the_o substyle_n the_o style_n must_v be_v equal_a in_o height_n to_o the_o semidiameter_n of_o the_o equator_n and_o fix_v on_o the_o line_n of_o 6._o chap_n v._o show_v the_o make_v a_o direct_a parallel_n polar_a plane_n or_o opposite_a equinoctial_a i_o call_v this_o a_o direct_a parallel_n polar_a plane_n for_o this_o cause_n because_o all_o plane_n may_v be_v call_v by_o their_o situation_n of_o their_o pole_n and_o so_o a_o equinoctial_a 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the_o make_n of_o a_o direct_a opposite_a polar_a plane_n or_o parallel_v equinoctial_a dial_n a_o equinoctial_a plane_n lie_v parallel_n to_o the_o equinoctial_a circle_n make_v a_o angle_n at_o the_o horizon_n equal_a to_o the_o elevation_n of_o the_o say_a circle_n the_o pole_n of_o which_o plane_n lie_v in_o the_o pole_n of_o the_o world_n the_o make_n of_o this_o plane_n require_v little_a instruction_n for_o by_o draw_v a_o circle_n and_o divide_v it_o into_o 24_o part_n the_o plane_n be_v prepare_v all_o fix_v a_o style_n in_o the_o centre_n at_o right_a angle_n to_o the_o plane_n as_o the_o radins_n be_v to_o the_o sine_fw-la of_o declination_n so_o be_v the_o cotangent_n of_o the_o pole_n height_n to_o the_o tangent_fw-la of_o the_o distance_n of_o the_o sub-stile_n from_o the_o meridian_n if_o you_o draw_v line_n from_o 7_o to_o 5_o on_o each_o side_n those_o line_n so_o cut_v shall_v be_v the_o place_n of_o the_o hour_n line_n of_o a_o parallel_a polar_a plane_n now_o if_o 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