Selected quad for the lemma: reason_n

Word A	Word B	Word C	Word D	Occurrence	Frequency Band	MI	MI Band	Prominent
reason_n	angle_n	equal_a	triangle_n	2,577	5	14.6378	5	false

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

vertical_a equal_a to_o the_o compliment_n of_o the_o pole_n elevation_n and_o again_o the_o equinoctial_a cross_v the_o axis_n at_o right_a angle_n the_o semidiameter_n thereof_o be_v represent_v by_o the_o line_n bd_o the_o reason_n why_o the_o angle_n at_o a_o have_v to_o his_o opposite_a angle_n at_o c_o the_o compliment_n of_o the_o angle_n at_o a_o be_v ground_v on_o this_o the_o three_o angle_n of_o any_o right_n line_a triangle_n be_v equal_a to_o two_o right_a angle_n and_o a_o right_a angle_n consist_v of_o 90_o degree_n now_o the_o angle_n at_o b_o be_v 90_o degree_n be_v one_o right_a angle_n and_o the_o angle_n at_o a_o be_v a_o angle_n of_o 51_o degree_n which_o want_v of_o 90_o 39_o degree_n which_o be_v the_o angle_n at_o c_o all_o which_o be_v add_v together_o do_v make_v 180_o degree_n be_v two_o right_a angle_n here_o you_o see_v that_o have_v two_o angle_n the_o three_o be_v the_o compliment_n of_o 180_o degree_n chap_n viii_o of_o the_o proportion_n of_o shadow_n to_o their_o body_n see_v the_o zenith_n make_v right_a angle_n with_o the_o horizon_n and_o a_o right_a angle_n consist_v of_o 90_o degree_n the_o middle_a point_n betwixt_o both_o be_v 45_o degree_n the_o sun_n be_v at_o that_o height_n the_o shadow_n of_o all_o thing_n perpendicular_o raise_v be_v equal_a to_o their_o body_n so_o also_o be_v the_o radius_fw-la of_o a_o circle_n equal_a to_o the_o tangent_fw-la of_o 45_o degree_n and_o if_o the_o sun_n be_v low_a than_o 45_o degree_n it_o must_v necessary_a follow_v the_o shadow_n must_v exceed_v the_o substance_n because_o the_o sun_n be_v nigh_o the_o horizon_n and_o this_o be_v call_v the_o adverse_a or_o contrary_a shadow_n contrary_o if_o the_o sun_n exceed_v this_o middle_a point_n the_o substance_n than_o exceed_v the_o shadow_n because_o the_o sun_n be_v near_a the_o vertical_a point_n mr._n diggs_n in_o his_o pantometria_fw-la lay_v down_o the_o manifold_a use_n of_o his_o quadrant_n geometrical_a do_v there_o show_v that_o have_v receive_v the_o sun_n beam_n through_o the_o pinacide_n or_o sight_n that_o when_o the_o sun_n altitude_n cut_v the_o part_n of_o right_a shadow_n than_o the_o shadow_n exceed_v the_o substance_n erect_v cast_v shadow_n as_o 12_o exceed_v the_o part_n cut_v but_o in_o contrary_a shadow_n contrary_a effect_n chap_n ix._o to_o find_v the_o declination_n of_o the_o sun_n to_o give_v you_o orontius_n his_o word_n it_o be_v convenient_a to_o take_v the_o beginning_n from_o the_o great_a obliquation_n of_o the_o sun_n because_o on_o that_o almost_o the_o whole_a harmony_n of_o all_o astronomical_a matter_n seem_v to_o depend_v as_o shall_v be_v manifest_a from_o the_o discourse_n of_o the_o succeed_a canon_n wherefore_o prepare_v of_o commodious_a and_o elect_a substance_n a_o quadrant_n of_o a_o circle_n part_v into_o 90_o equal_a part_n on_o who_o right_a angle_a radius_fw-la let_v be_v place_v two_o pinacide_n or_o sight_n to_o receive_v the_o beam_n of_o the_o sun_n then_o erect_v it_o towards_o the_o south_n in_o the_o time_n of_o the_o solsticials_n either_o in_o cancer_n the_o high_a annual_a almicanther_n or_o in_o capricorn_n the_o low_a annual_a meridian_n altitude_n also_o observe_v the_o equilibra_fw-la or_o equality_n of_o day_n and_o night_n in_o the_o time_n of_o the_o equinoctials_n from_o the_o meridian_n altitude_n thereof_o subtract_v the_o least_o meridian_n altitude_n which_o be_v when_o the_o sun_n enter_v in_o the_o first_o minute_n of_o capricorn_n the_o remainder_n be_v the_o declination_n or_o subtract_v the_o equinoctial_a altitude_n from_o the_o great_a meridian_n altitude_n the_o remainder_n be_v the_o declination_n of_o the_o great_a obliquity_n of_o the_o sun_n in_o the_o zodiaque_fw-la the_o height_n of_o the_o sun_n be_v observe_v by_o the_o quadrant_n when_o the_o beam_n be_v receive_v through_o the_o sight_n by_o a_o plummet_n proceed_v from_o the_o centre_n note_v the_o degree_n of_o altitude_n by_o the_o three_o fall_v thereon_o you_o may_v also_o take_v notice_n that_o for_o the_o continual_a variation_n of_o the_o sun_n great_a declination_n it_o ought_v to_o be_v observe_v by_o faithful_a instrument_n for_o as_o orontius_n note_v that_o claudius_n ptolemy_n find_v it_o to_o be_v 23_o degree_n 51_o minute_n and_o 20_o second_o but_o in_o the_o time_n of_o albatigine_fw-la the_o same_o number_n of_o degree_n yet_o but_o 35_o minute_n alcmeon_n find_v it_o of_o little_a less_o to_o wit_v 33_o minute_n purbachi_n and_o some_o of_o his_o disciple_n do_v affirm_v the_o same_o to_o be_v 23_o degree_n only_o 28_o minute_n yet_o johanes_n regiomontan_n in_o the_o table_n of_o direction_n have_v allot_v the_o minute_n to_o be_v 30_o but_o since_o dominick_n maria_n a_o italian_a and_o johannes_n varner_n of_o norimburg_n testify_v to_o have_v find_v it_o to_o be_v 29_o minute_n to_o which_o observation_n our_o work_n do_v exact_o agree_v albeit_o all_o do_v observe_v the_o same_o well_o near_o by_o like_o instrument_n nevertheless_o not_o just_o by_o exact_a construction_n or_o by_o insufficient_a dexterity_n of_o observation_n some_o small_a difference_n may_v happen_v but_o not_o so_o much_o as_o from_o ptolemy_n to_o our_o time_n have_v this_o great_a declination_n to_o find_v the_o present_a declination_n be_v thus_o by_o calculation_n as_o the_o radius_fw-la be_v to_o the_o sine_fw-la of_o the_o great_a declination_n so_o be_v the_o sine_fw-la of_o the_o sun_n distance_n from_o the_o next_o equinoctial_a point_n that_o be_v aries_n or_o libra_n to_o the_o declination_n require_v wherefore_o in_o the_o natural_a sine_n as_o in_o the_o rule_n of_o proportion_n multiply_v the_o second_o by_o the_o three_o divide_v by_o the_o first_o the_o quotient_n be_v the_o sine_fw-la of_o the_o declination_n or_o by_o the_o natural_a sine_n add_v the_o second_o and_o three_o and_o subtract_v the_o first_o the_o remainder_n be_v the_o sine_fw-la of_o the_o present_a declination_n degree_n ♈_o ♎_o ♉_o ♏_o ♊_o ♐_o degree_n d_o m_o d_o m_o d_o m_o 0_o 0_o 0_o 11_o 29_o 20_o 10_o 30_o 1_o 0_o 24_o 11_o 50_o 20_o 23_o 29_o 2_o 0_o 47_o 12_o 11_o 20_o 35_o 28_o 3_o 1_o 11_o 12_o 31_o 20_o 47_o 27_o 4_o 1_o 35_o 12_o 52_o 20_o 58_o 26_o 5_o 1_o 59_o 13_o 12_o 21_o 9_o 25_o 6_o 2_o 23_o 13_o 32_o 21_o 20_o 24_o 7_o 2_o 47_o 13_o 52_o 21_o 30_o 23_o 8_o 3_o 10_o 14_o 11_o 21_o 40_o 22_o 9_o 3_o 34_o 14_o 30_o 21_o 49_o 21_o 10_o 3_o 58_o 14_o 50_o 21_o 58_o 20_o 11_o 4_o 21_o 15_o 8_o 22_o 7_o 19_o 12_o 4_o 45_o 15_o 27_o 22_o 15_o 18_o 13_o 5_o 8_o 15_o 45_o 22_o 23_o 17_o 14_o 5_o 31_o 16_o 3_o 22_o 30_o 16_o 15_o 5_o 55_o 16_o 21_o 22_o 37_o 15_o 16_o 6_o 18_o 16_o 38_o 22_o 43_o 14_o 17_o 6_o 41_o 16_o 56_o 22_o 50_o 13_o 18_o 7_o 4_o 17_o 12_o 22_o 55_o 12_o 19_o 7_o 27_o 17_o 29_o 23_o 0_o 11_o 20_o 7_o 49_o 17_o 45_o 23_o 5_o 10_o 21_o 8_o 12_o 18_o 1_o 23_o 9_o 9_o 22_o 8_o 34_o 18_o 17_o 23_o 13_o 8_o 23_o 8_o 57_o 18_o 32_o 23_o 17_o 7_o 24_o 9_o 19_o 18_o 47_o 23_o 20_o 6_o 25_o 9_o 41_o 19_o 2_o 23_o 22_o 5_o 26_o 10_o 3_o 19_o 16_o 23_o 24_o 4_o 27_o 10_o 25_o 19_o 30_o 23_o 26_o 3_o 28_o 10_o 46_o 19_o 44_o 23_o 27_o 2_o 29_o 11_o 8_o 19_o 57_o 23_o 27_o 1_o 30_o 11_o 29_o 20_o 10_o 23_o 28_o 0_o de_fw-la ♓_o ♍_o ♒_o ♌_o ♑_o ♋_o de_fw-la but_o i_o have_v here_o add_v a_o table_n of_o declination_n of_o the_o part_n of_o the_o ecliptic_a from_o the_o equinoctial_a the_o use_n whereof_o you_o may_v discern_v be_v very_o plain_a for_o if_o you_o find_v the_o sign_n on_o the_o top_n and_o the_o degree_n downward_o the_o common_a angle_n shall_v be_v the_o declination_n of_o the_o sun_n that_o day_n as_o if_o the_o sun_n be_v in_o the_o 10_o degree_n of_o taurus_n or_o scorpio_n the_o declination_n shall_v be_v 14_o degree_n 50_o minute_n and_o if_o you_o find_v the_o sign_n in_o the_o bottom_n you_o shall_v seek_v the_o degree_n on_o the_o right_a hand_n upward_o so_o the_o 20_o degreee_v of_o leo_n or_o aquarius_n have_v the_o same_o declination_n with_o the_o former_a the_o end_n of_o the_o praecognita_fw-la astronomical_a the_o argument_n of_o practical_a sciothericy_n optical_a reader_n read_v this_o for_o i_o dare_v this_o defend_v thy_o post_a life_n on_o dial_n do_v depend_v consider_v thou_o how_o quick_a the_o hour_n be_v go_v alive_a to_o day_n to_o morrow_n life_n be_v do_v then_o use_v thy_o time_n and_o always_o bear_v in_o mind_n time_n hairy_a forehead_n yet_o he_o be_v ball_v behind_o here_o be_v that_o that_o will_v deline_n to_o thou_o and_o show_v how_o quick_a time_n run_v how_o fast_o thy_o life_n do_v go_v yet_o