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in_o the_o work_n at_o all_o and_o indeed_o my_o desire_n to_o be_v brief_a make_v i_o omit_v thing_n that_o i_o think_v may_v be_v understand_v without_o treat_v of_o they_o i_o will_v only_o touch_v upon_o a_o example_n in_o a_o sphere_n which_o have_v south_n declination_n latitude_n northerly_a 50_o deg_fw-la 00_o min._n declination_n 13_o deg_fw-la 15_o min._n southerly_a also_o if_o you_o subtract_v this_o amplitude_n v_o ♈_o from_o ♈_o h_o 90_o deg_fw-la the_o remainder_n be_v the_o sun_n azimuth_n from_o the_o south_n v_o h_n or_o if_o you_o add_v v_z ♈_o to_o ♈_o a_o 90_o deg_fw-la it_o be_v v._o a_o the_o sun_n azimuth_n of_o rise_v from_o the_o north_n forasmuch_o as_o five_o a_o be_v as_o much_o above_o 90_o deg_fw-la as_o v_z h_n want_v of_o it_o the_o same_o be_v to_o be_v understand_v in_o any_o sphere_n that_o the_o amplitude_n and_o azimuth_n of_o the_o sun_n be_v compliment_n one_o of_o a_o other_o to_o 90_o deg_fw-la in_o that_o quarter_n when_o the_o sun_n 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than_o ♎_o therefore_o fix_v your_o compass_n in_o the_o point_n of_o ♈_o and_o extend_v the_o other_o foot_n to_o the_o sun_n in_o the_o ecliptic_a which_o be_v i_o and_o apply_v it_o to_o the_o line_n of_o sines_n or_o if_o you_o have_v no_o line_n of_o sines_n convert_v it_o to_o a_o chord_n by_o the_o second_o way_n of_o measure_v and_o as_o many_o degree_n as_o it_o be_v so_o far_o be_v the_o sun_n distant_a from_o the_o near_a aequinoctial_a point_n if_o it_o exceed_v 30_o deg_fw-la the_o sun_n must_v be_v in_o that_o degree_n of_o ♉_o that_o be_v above_o 30_o deg_fw-la if_o it_o exceed_v 60_o deg_fw-la the_o sun_n must_v be_v in_o that_o degree_n of_o ♊_o above_o 60_o but_o here_o i_o find_v it_o in_o less_o than_o 30_o namely_o 29_o deg_fw-la 3_o min._n therefore_o i_o conclude_v the_o sun_n be_v in_o 20_o deg_fw-la 3_o min._n of_o ♈_o but_o suppose_v it_o be_v time_n of_o year_n that_o the_o sun_n be_v return_v from_o the_o tropic_a towards_o the_o aequinoctial_a and_o be_v the_o same_o declination_n then_o will_v the_o sun_n place_n be_v the_o same_o from_o enter_v into_o ♎_o that_o it_o now_o be_v in_o ♈_o namely_o in_o 57_o min._n of_o â™_o which_o want_v 29_o deg_fw-la 3_o min._n of_o enter_v into_o ♎_o thus_o much_o for_o the_o sun_n place_n the_o sun_n right_a ascension_n be_v measure_v from_o the_o place_n where_o the_o sun_n parallel_n of_o declination_n cut_v the_o ecliptic_a to_o 6_o of_o the_o clock_n which_o be_v i_o 6_o set_v it_o off_o by_o the_o three_o way_n of_o measure_v to_o extend_v it_o to_o a_o great_a circle_n for_o the_o sine_fw-la of_o i_o
the_o difference_n of_o latitude_n in_o the_o whole_a run_v 13_o league_n 3_o 10_o if_o you_o have_v west_n longitude_n you_o must_v have_v subtract_v thus_o likewise_o and_o that_o which_o be_v great_a the_o remainder_n belong_v to_o of_o a_o reckon_a from_o what_o have_v be_v already_o show_v you_o understand_v that_o if_o the_o latitude_n of_o two_o place_n be_v know_v and_o the_o difference_n of_o longitude_n between_o they_o you_o may_v find_v the_o bear_n of_o they_o one_o from_o the_o other_o their_o distance_n asunder_o or_o any_o thing_n you_o desire_v and_o this_o be_v all_o so_o plain_a that_o if_o i_o set_v from_o a_o place_n and_o be_o bind_v to_o a_o place_n who_o latitude_n be_v know_v and_o the_o difference_n of_o longitude_n also_o know_v between_o they_o and_o keep_v a_o reckon_n of_o the_o departure_n both_o east_n and_o west_n that_o i_o make_v set_v they_o down_o in_o two_o distinct_a column_n it_o be_v but_o subtract_v one_o from_o the_o other_o and_o the_o remainder_n will_v be_v the_o east_n or_o west_n longitude_n that_o i_o have_v make_v that_o of_o the_o two_o which_o be_v most_o also_o if_o i_o know_v what_o latitude_n i_o be_o in_o and_o what_o latitude_n the_o place_n lie_v in_o it_o be_v but_o subtract_v the_o lesser_a from_o the_o great_a and_o the_o remainder_n will_v be_v the_o difference_n of_o latitude_n between_o your_o ship_n and_o that_o place_n provide_v the_o latitude_n be_v both_o one_o way_n also_o subtract_v the_o difference_n of_o longitude_n that_o you_o have_v make_v provide_v that_o it_o be_v that_o way_n which_o shorten_v your_o longitude_n between_o the_o place_n you_o set_v from_o and_o be_v bind_v to_o from_o the_o whole_a difference_n of_o longitude_n between_o the_o two_o place_n and_o the_o remainder_n will_v be_v what_o be_v still_o between_o you_o and_o the_o place_n you_o be_v bind_v to_o but_o if_o your_o departure_n which_o you_o have_v make_v have_v increase_v the_o difference_n of_o longitude_n 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ship_n and_o the_o place_v you_o be_v bind_v to_o which_o in_o this_o example_n i_o find_v to_o be_v 6_o degree_n 24_o minute_n take_v the_o latitude_n out_o of_o the_o column_n of_o latitude_n for_o that_o day_n in_o the_o reckon_a and_o you_o will_v find_v it_o so_o if_o you_o subtract_v 16_o deg_fw-la 16_o min._n from_o it_o thus_o you_o have_v the_o difference_n of_o latitude_n between_o you_o that_o day_n and_o your_o port_n and_o the_o departure_n that_o the_o port_n have_v from_o the_o meridian_n that_o you_o be_v in_o that_o day_n give_v you_o to_o find_v the_o thing_n demand_v i_o will_v not_o work_v it_o for_o it_o have_v beeen_n show_v sufficient_o already_o i_o have_v here_o follow_v set_v down_o a_o reckon_a and_o afterward_o how_o i_o work_v it_o and_o last_o the_o reason_n that_o make_v i_o use_v this_o way_n of_o keep_v my_o whole_a reckon_a in_o the_o last_o line_n so_o that_o i_o be_o not_o trouble_v to_o add_v it_o up_o when_o i_o give_v account_n of_o it_o january_n 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