Selected quad for the lemma: day_n

Word A	Word B	Word C	Word D	Occurrence	Frequency Band	MI	MI Band	Prominent
day_n	degree_n	hour_n	longitude_n	5,383	5	13.5790	5	false

Text snippets containing the quad

ID	Title	Author	Corrected Date of Publication (TCP Date of Publication)	STC	Words	Pages
A52264	Institutio mathematica, or, A mathematical institution shewing the construction and use of the naturall and artificiall sines, tangents, and secants in decimal numbers, and also of the table of logarithms in the general solution of any triangle, whether plain or spherical, with their more particular application in astronomie, dialling, and navigation / by John Newton.	Newton, John, 1622-1678.	1654 (1654)	Wing N1061; ESTC R20441	128,229	417

artificial_a sin_n and_o tangent_n as_o also_o of_o the_o logarithm_n in_o astronomy_n dial_v and_o navigation_n by_o john_n newton_n london_n print_v anno_fw-la domini_fw-la 1654._o a_o mathematical_a institution_n the_o second_o part._n chap._n i._n of_o the_o table_n of_o the_o sun_n motion_n and_o of_o the_o equation_n of_o time_n for_o the_o difference_n of_o meridian_n whereas_o it_o be_v requisite_a that_o the_o reader_n shall_v be_v acquaint_v with_o the_o sphere_n before_o he_o enter_v upon_o the_o practice_n of_o spherical_a trigonometri_n the_o which_o be_v full_o explain_v in_o blundevile_v exercise_n or_o ch●lmades_n translation_n of_o hues_n on_o the_o globe_n to_o who_o i_o refer_v those_o that_o be_v not_o yet_o acquaint_v therewith_o that_o which_o i_o here_o intend_v be_v to_o show_v the_o use_n of_o trigonometrie_n in_o the_o actual_a resolution_n of_o so_o i_o know_v triangle_n of_o the_o sphere_n and_o because_o the_o sun_n place_n or_o distance_n from_o the_o next_o equinoctial_a point_n be_v usual_o one_o of_o the_o three_o term_n give_v in_o astronomical_a question_n i_o will_v first_o show_v how_o to_o compute_v that_o by_o table_n calculate_v in_o decimal_a number_n according_a to_o the_o hypothesis_n of_o bullialdus_n and_o for_o the_o meridian_n of_o london_n who_o longitude_n reckon_v from_o the_o canary_n or_o fortunate_a island_n be_v 21_o deg_n and_o the_o latitude_n north_n 51_o deg_n 57_o part_n min._n or_o centesm_n of_o a_o degree_n nor_o be_v these_o table_n so_o confine_v to_o this_o meridian_n but_o that_o they_o may_v be_v reduce_v to_o any_o other_o if_o the_o place_n be_v east_n of_o london_n add_v to_o the_o time_n give_v but_o if_o it_o be_v west_n make_v substraction_n according_a to_o the_o difference_n of_o longitude_n allow_v 15_o deg_n for_o a_o hour_n and_o 6_o minute_n or_o centesm_n of_o a_o hour_n to_o one_o degree_n so_o will_v the_o sum_n or_o difference_n be_v the_o time_n aequate_v to_o the_o meridian_n 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so_o of_o any_o other_o problem_n 1._o to_o calculate_v the_o sun_n true_a place_n the_o form_n of_o these_o our_o table_n of_o the_o sun_n motion_n be_v this_o in_o the_o first_o page_n be_v have_v his_o motion_n in_o julian_n year_n complete_a the_o epochae_n or_o root_n of_o motion_n be_v prefix_v which_o show_v the_o place_n of_o the_o sun_n at_o that_o time_n where_o the_o epocha_n adscribe_v have_v its_o beginning_n the_o table_n in_o the_o follow_a page_n serve_v for_o julian_n year_n month_n day_n hour_n and_o part_n as_o by_o their_o title_n it_o do_v appear_v the_o year_n month_n and_o day_n be_v take_v complete_a the_o hour_n and_o scruple_n current_n after_o these_o table_n follow_v another_o which_o contain_v the_o aequation_n of_o the_o eccentrick_a to_o every_o degree_n of_o a_o semicircle_n by_o which_o you_o may_v thus_o compute_v the_o sun_n place_n first_o write_v out_o the_o epocha_n next_o go_v before_o the_o give_a time_n then_o several_o set_v under_o those_o the_o motion_n belong_v to_o the_o year_n month_n and_o day_n complete_a and_o to_o the_o hour_n and_o scruple_n current_a every_o one_o under_o his_o like_a only_o remember_v that_o in_o the_o bissextile_a year_n after_o the_o end_n of_o february_n the_o day_n must_v be_v increase_v by_o a_o unit_fw-la then_o add_v they_o all_o together_o the_o sum_n shall_v be_v the_o sun_n mean_a motion_n for_o the_o time_n give_v example_n let_v the_o give_v time_n be_v 1654._o may_v 13_o 11_o hour_n 25_o scruple_n before_o noon_n at_o london_n and_o the_o sun_n place_n to_o be_v seek_v the_o number_n be_v thus_o  _fw-fr longit._n ☉_o aphel_n ☉_o the_o epocha_n 1640_o 291.2536_o 96.2297_o year_n compl_a 13_o 359.8508_o 2052_o month_n co_fw-la april_n 118.2775_o 53_o day_n compl_a 12_o 11.8278_o 6_o hour_n 23_o 9444_o  _fw-fr scruple_n 25_o 102_o  _fw-fr  _fw-fr  _fw-fr  _fw-fr sun_n or_o mean_a motion_n 782.1643_o 96.4308_o 2._o subtract_v the_o aphelium_n from_o the_o mean_a longitude_n there_o rest_v the_o mean_a anomaly_n if_o it_o exceed_v not_o 360_o degree_n but_o if_o it_o exceed_v 360_o degr_n 360_o be_v take_v from_o their_o difference_n as_o oft_o as_o it_o can_v the_o rest_n be_v the_o mean_a anomaly_n seek_v example_n the_o ☉_o mean_a longitude_n 782.1643_o the_o aphelium_n substract_v 96.4308_o there_o rest_v 685.7335_o from_o whence_o deduct_v 360._o there_o rest_v the_o mean_a anomaly_n 325.7335_o 3._o with_o the_o mean_a anomaly_n enter_v the_o table_n of_o the_o sun_n eccentrick_a equation_n with_o the_o degree_n descend_v on_o the_o left_a side_n if_o the_o number_n thereof_o be_v less_o than_o 180_o and_o ascend_v on_o the_o right_a side_n if_o it_o exceed_v 180_o and_o in_o a_o straight_a line_n you_o have_v the_o equation_n answer_v thereunto_o use_v the_o part_n proportional_a if_o need_v require_v last_o according_a to_o the_o title_n add_v or_o subtract_v this_o equation_n find_v to_o or_o from_o the_o mean_a longitude_n so_o have_v you_o the_o sun_n true_a place_n example_n the_o sun_n mean_a longitude_n 782.1643_o or_o deduct_v two_o circle_n 720._o the_o sun_n mean_a longitude_n be_v 62.1643_o the_o sun_n mean_a anomaly_n 325.7335_o in_o this_o table_n the_o equation_n answer_v to_o 325_o degree_n be_v 1.1525_o the_o equation_n answer_v to_o 326_o degree_n be_v 1.1236_o and_o their_o difference_n 289._o now_o than_o if_o one_o degree_n or_o 10000_o give_v 289_o what_o shall_v 7335_o give_v the_o product_n of_o the_o second_o and_o three_o term_n be_v 2119815_o and_o this_o divide_a by_o 10000_o the_o first_o term_v give_v the_o quotient_a or_o term_v require_v will_v be_v 212_o fere_n which_o be_v deduct_v from_o 1.1525_o the_o equation_n answer_v to_o 325_o degr_n because_o the_o equation_n decrease_v their_o difference_n 1.1313_o be_v the_o true_a equation_n of_o this_o mean_a anomaly_n which_o be_v add_v to_o the_o sun_n mean_a longitude_n their_o aggregate_v be_v the_o sun_n place_n require_v example_n the_o sun_n mean_a longitude_n 62.1643_o equation_n correct_v add_v 1.1313_o the_o sun_n true_a place_n or_o longitude_n 63.2956_o that_o be_v 2_o sign_n 3_o degree_n 29_o minute_n 56_o part_n the_o sun_n equation_n in_o this_o example_n correct_v by_o multiplication_n and_o division_n may_v more_o ready_o be_v perform_v by_o addition_n and_o substraction_n with_o the_o help_n of_o the_o table_n of_o logarithme_n for_o as_o one_o degree_n or_o 10000_o 4.000000_o  _fw-fr  _fw-fr be_v to_o 289_o 2.460898_o so_o be_v 7335_o 3.865400_o  _fw-fr  _fw-fr to_o 212_o fere_n 2.326298_o the_o sun_n mean_v motion_n epochae_fw-la longitud_n ☉_o aphelium_n ☉_o  _fw-fr °_o ′_o ″_o °_o ′_o ″_o per._n jul._n 242_o 99_o 61_o 355_o 85_o 44_o m●●di_fw-la 248_o 71_o 08_o 007_o 92_o 42_o christi_fw-la 278_o 98_o 69_o 010_o 31_o 36_o an._n do._n 1600_o 290_o 95_o 44_o 095_o 58_o 78_o an._n do._n 1620_o 291_o 10_o 41_o 095_o 90_o 39_o an._n do._n 1640_o 291_o 25_o 36_o 096_o 21_o 97_o an._n do._n 1660_o 291_o 40_o 33_o 096_o 53_o 56_o 1_o 356_o 76_o 11_o 0_o 01_o 58_o 2_o 359_o 52_o 22_o 0_o 18_o 17_o 3_o 359_o 28_o 30_o 0_o 04_o 74_o b_o 4_o 000_o 03_o 00_o 0_o 06_o 30_o 5_o 359_o 79_o 11_o 0_o 07_o 89_o 6_o 359_o 55_o 19_o 0_o 09_o 47_o 7_o 359_o 31_o 30_o 0_o 11_o 05_o b_o 8_o 000_o 05_o 97_o 0_o 12_o 64_o 9_o 359_o 82_o 08_o 0_o 14_o 22_o 10_o 359_o 58_o 19_o 0_o 15_o 78_o 11_o 359_o 34_o 30_o 0_o 17_o 36_o b_o 12_o 000_o 08_o 97_o 0_o 18_o 94_o 13_o 359_o 85_o 08_o 0_o 20_o 52_o 14_o 359_o 00_o 19_o 0_o 22_o 11_o 15_o 359_o 37_o 30_o 0_o 23_o 69_o b_o 16_o 000_o 11_o 97_o 0_o 25_o 25_o 17_o 359_o 88_o 08_o 0_o 26_o 83_o 18_o 359_o 64_o 19_o 0_o 28_o 41_o 19_o 359_o 40_o 28_o 0_o 30_o 00_o b_o 20_o 000_o 14_o 97_o 0_o 31_o