place_n that_o the_o ship_n be_v remeve_v etc._n etc._n aâ—confuting_v of_o the_o 2._o absurdity_n of_o the_o card._n the_o 3._o part_n the_o devisson_n that_o the_o zenith_n horizon_n and_o nadir_n have_v or_o be_v divide_v withal_o be_v only_o by_o almicant_a circle_n which_o otherwise_o be_v call_v circle_n of_o altitude_n or_o height_n be_v above_o the_o horizon_n all_o which_o be_v parallel_n to_o the_o horizon_n but_o those_o from_o the_o horizon_n to_o the_o nadir_n notwithstanding_o parallel_v to_o the_o horizon_n be_v circle_n of_o depression_n any_o one_o of_o which_o almicanter_n may_v be_v deliver_v upon_o any_o degree_n or_o minute_n of_o the_o height_n above_o the_o horizon_n likewise_o take_v in_o some_o work_n spherical_o in_o profundity_n and_o depth_n under_o the_o horizon_n the_o 4._o part_n this_o demonstrature_n deliver_v upon_o any_o azimuth_n whatsoever_o the_o distance_n from_o the_o zenith_n to_o the_o horizon_n to_o be_v but_o 90_o degree_n the_o 5._o part_n the_o east_n and_o west_n of_o this_o demonstrature_n from_o the_o zenith_n 90_o degree_n in_o longitude_n touch_v the_o equinoctial_a in_o the_o horizon_n at_o opposite_a point_n the_o 6._o part_n now_o the_o quality_n of_o the_o globe_n be_v this_o the_o pole_n thereof_o be_v elevate_v or_o set_v to_o his_o purpose_a latitude_n in_o his_o horizon_n according_a to_o this_o demonstrature_n deliver_v the_o obliquity_n of_o the_o sphere_n which_o in_o truth_n be_v a_o confute_v of_o the_o east_n and_o west_n to_o lead_v in_o a_o parallel_n as_o for_o example_n the_o 1_o example_n the_o globe_n set_v to_o the_o parallel_n of_o 50_o degree_n north_n latitude_n than_o a_o perpendienle_a line_n imagine_v to_o descend_v from_o this_o zenith_n of_o 50_o degree_n north_n latitude_n deliver_v his_o nadir_n to_o be_v in_o 50_o degr_n south_n latitude_n so_o that_o it_o deliver_v the_o opposite_a part_n of_o the_o parallel_n to_o be_v from_o the_o nadir_n or_o the_o arch_n of_o the_o meridian_n contain_v between_o the_o opposite_a part_n of_o the_o parallel_n and_o the_o nadir_n to_o be_v a_o 100_o degree_n oblique_a or_o different_a and_o from_o the_o place_n of_o be_v in_o the_o zenith_n upon_o the_o meridian_n to_o the_o oposite_a part_n of_o the_o parallel_n direct_o be_v but_o 80_o deg_fw-la of_o a_o great_a circle_n so_o that_o this_o opposite_a part_n of_o the_o parallel_n be_v 10_o deg_fw-la above_o the_o horizon_n which_o be_v oblique_a to_o the_o zenith_n and_o nadir_n also_o 90_o degr_n north_n from_o the_o east_n and_o west_n of_o the_o demonstrature_n in_o the_o equinoctial_a so_o that_o a_o ship_n be_v in_o or_o have_v this_o zenith_n before_o speak_v of_o the_o perpendicularity_n of_o the_o ship_n be_v in_o this_o zenith_n and_o nadir_n line_n and_o the_o opposite_a part_n of_o this_o parallel_n so_o oblique_a unto_o she_o as_o before_o how_o be_v it_o possible_a for_o the_o east_n and_o west_n of_o the_o compass_n to_o lead_v in_o a_o parallel_n the_o 2._o example_n likewise_o when_o the_o ship_n the_o right_a line_n of_o she_o cape_v in_o the_o vertical_a circle_n of_o east_n and_o west_n extend_v both_o the_o way_n cross_v the_o equator_fw-la at_o opposite_a point_n 90_o degr_n different_a in_o longitude_n and_o the_o ship_n be_v a_o segment_n of_o that_o great_a circle_n and_o no_o sagment_n of_o a_o small_a circle_n as_o parallel_n be_v how_o be_v it_o possible_a then_o for_o the_o east_n and_o west_n to_o lead_v in_o a_o parallel_n it_o be_v not_o possible_a as_o the_o way_n of_o the_o difference_n justifi_v etc._n etc._n the_o three_o example_n be_v in_o the_o parallel_n of_o 80_o degree_n north_n latitude_n ralell_n latitude_n if_o the_o 〈◊〉_d sail_n upoâ—_n vertical_a 〈◊〉_d of_o east_n oâ—_n that_o the_o 〈◊〉_d pass_n do_v 〈◊〉_d whé_fw-fr the_o shâ—_n begin_v its_o coâ—_n but_o as_o the_o 〈◊〉_d be_v guide_v bâ—_n magnetical_a wire_n or_o 〈◊〉_d dle_n so_o thaâ—_n line_n or_o its_o 〈◊〉_d make_v eqâ—_n angel_n wiâ—_n very_a magâ—_n call_v meridâ—_n the_o way_n 〈◊〉_d ship_n lead_v the_o east_n oâ—_n do_v descry_v magnetical_a ralell_n a_o perpendicule_a line_n deliver_v the_o nadir_n to_o be_v in_o 80_o deg_fw-la s._n latitude_n so_o that_o the_o arch_n of_o the_o meridian_n contain_v between_o the_o nadir_n and_o the_o opposite_a part_n of_o the_o parallel_n be_v 160_o degree_n but_o the_o arch_n of_o the_o meridian_n contain_v between_o the_o point_n of_o be_v and_o the_o opposite_a part_n of_o the_o parallel_n be_v but_o 20_o degree_n so_o that_o the_o opposite_a part_n of_o the_o parallel_n be_v 70_o degree_n above_o the_o horizon_n and_o likewise_o 90_o deg_fw-la north_n from_o the_o east_n and_o west_n according_a to_o the_o demonstrature_n in_o the_o equinoctial_a ☞_o here_o you_o see_v the_o obliquity_n of_o the_o opposite_a part_n of_o the_o parallel_n to_o the_o zenith_n and_o his_o nadir_n show_v how_o unnatural_a it_o be_v to_o deliver_v the_o way_n of_o a_o ship_n lead_v in_o the_o east_n and_o west_n to_o describe_v a_o parallel_n and_o whereas_o before_o i_o have_v deliver_v the_o east_n and_o west_n of_o the_o demonstrature_n of_o the_o compass_n in_o the_o horizon_n and_o that_o the_o north_n and_o south_n be_v likewise_o very_o plain_a to_o be_v deliver_v therefore_o i_o will_v omit_v they_o and_o will_v give_v example_n of_o the_o demonstrature_n in_o the_o latitude_n 51_o degree_n 30_o min._n and_o 80_o degree_n north_n latitude_n only_o of_o the_o north-east_n southeast_n south-west_n and_o northwest_n to_o the_o horizon_n as_o bereafter_o follow_v north-east_n in_o the_o latitude_n 51_o degree_n 30_o minute_n from_o our_o point_n of_o be_v in_o our_o meridian_n which_o be_v the_o begin_n of_o our_o longtitude_n our_o zenith_n be_v in_o the_o parallel_n of_o 51_o degree_n 30_o min._n north_n latitude_n i_o be_o to_o demonstrate_v 3_o sagment_n of_o a_o great_a circle_n contain_v 30_o degree_n a_o piece_n by_o the_o demonstrature_n north-east_n the_o end_n of_o which_o first_o sagment_n of_o 30_o degree_n shall_v touch_v the_o meridian_n in_o longitude_n eastward_o 54_o degree_n from_o the_o first_o and_o there_o likewise_o shall_v touch_v the_o parallel_n of_o north_n latitude_n 64._o degree_n and_o the_o end_n of_o the_o second_o sagment_n of_o 60_o degree_n in_o longitude_n shall_v touch_v the_o 105_o degree_n 30_o min._n or_o meridian_n in_o longitude_n eastward_o from_o the_o first_o and_o there_o likewise_o touch_v the_o 50._o deg_fw-la 30._o min._n parallel_v north_n likewise_o the_o end_n of_o the_o three_o sagment_n at_o 90_o degree_n in_o longitude_n shall_v touch_v the_o 128_o degree_n or_o meridian_n in_o longitude_n eastward_o from_o the_o first_o and_o there_o likewise_o touch_v the_o 26_o degree_n ward_v 13_o min._n parallel_v north_n also_o it_o there_o touch_v the_o horizon_n 45_o deg_fw-la either_o from_o the_o cardines_fw-la east_n or_o north._n northwest_n likewise_o the_o demonstrature_n of_o the_o northwest_n cut_v the_o meridian_n and_o parallel_v in_o longitude_n westward_n as_o the_o demonstrature_n of_o north-east_n cut_v they_o east-ward_n only_o that_o it_o cut_v the_o horizon_n 45_o deg_fw-la either_o from_o the_o cardines_fw-la west_n or_o north._n southeast_n in_o the_o same_o latitude_n 51_o deg_fw-la 30_o min._n in_o our_o place_n of_o be_v as_o aforesaid_a i_o be_o to_o demonstrate_v three_o sagment_n of_o a_o great_a circle_n contain_v 20_o deg_fw-la a_o piece_n by_o the_o demonstrature_n southeast_n the_o end_n of_o which_o first_o sagment_n of_o 30_o deg_fw-la shall_v touch_v the_o 23_o deg_fw-la 30_o min._n or_o meridian_n in_o longitude_n eastward_o from_o the_o first_o and_o there_o likewise_o touch_v the_o 27_o degree_n 20_o min._n parallel_n north._n and_o the_o end_n of_o the_o second_o sagment_n of_o 60_o deg_fw-la in_o longitude_n wall_n touch_v the_o 3_o deg_fw-la 40_o min._n or_o meridian_n in_o longitude_n eastward_o from_o the_o first_o and_o there_o likewise_o touch_v in_o 〈◊〉_d deg_fw-la 25_o min._n n._n latitude_n likewise_o the_o end_n of_o the_o three_o sagment_n at_o 90_o deg_fw-la in_o longitude_n shall_v touch_v the_o 51_o degree_n 40_o min._n or_o meridian_n in_o longitude_n eastward_o from_o the_o first_o and_o there_o likewise_o touch_v the_o 26_o deg_fw-la 15_o m._n parallel_n south_n also_o there_o touch_v the_o horizon_n 45_o degree_n either_o from_o the_o cardines_fw-la east_n or_o south_n south-west_n likewise_o the_o demonstrature_n of_o the_o south-west_n touch_v the_o meridians_fw-la and_o parallel_v in_o longitude_n westward_n as_o the_o demonstrature_n of_o southeast_n touch_v they_o eastward_o only_o that_o it_o cut_v the_o horizon_n 45_o deg_fw-la either_o from_o the_o cardines_fw-la south_n or_o west_n example_n in_o the_o parallel_n of_o 80_o deg_fw-la north_n latitude_n beginning_n with_o the_o first_o example_n of_o north-east_n in_o the_o north_n latitude_n 8_o deg_fw-la from_o our_o point_n of_o be_v in_o
our_o meridian_n which_o be_v the_o begin_n of_o our_o longitude_n our_o zenith_n be_v in_o the_o parallel_n of_o 80._o deg_fw-la north_n latitude_n i_o be_o to_o demonstrate_v sagment_n of_o a_o great_a circle_n contain_v â—0_n deg_fw-la apéece_n by_o the_o demonstrature_n north-east_n the_o end_n of_o which_o first_o sagment_n of_o 30_o degree_n shall_v touch_v the_o meridian_n in_o longitude_n eastward_o 119_o degree_n 30_o minute_n from_o the_o first_o and_o there_o likewise_o shall_v 〈◊〉_d the_o parallel_n of_o north_n latitude_n 60_o deâ—r_n and_o the_o end_n of_o the_o second_o sagment_n 160._o deg_fw-la in_o longitude_n wall_n touch_v the_o 130._o deg_fw-la â—_o min._n or_o meridian_n in_o longitude_n eastward_o from_o the_o first_o &_o there_o likewise_o touch_v the_o 36._o deg_fw-la 45._o mi._n parallel_n north_n likewise_o tâ—t_v end_v of_o the_o 3._o sagment_n at_o 90._o deg_fw-la in_o longitude_n shall_v touch_v the_o 134_o deg_fw-la 30_o min._n or_o meridian_n in_o longitude_n eastward_o from_o the_o first_o &_o there_o likewise_o touch_v the_o 7_o parallel_n north_n also_o there_o touch_v the_o horizen_n 45_o deg_fw-la either_o from_o the_o cardines_fw-la east_n or_o north_n northwest_n likewise_o the_o demonstrature_n of_o northwest_n cut_v the_o meridians_fw-la and_o paraelll_v in_o longitude_n westward_n as_o the_o demonâ—rature_n of_o north_n east_n cut_v they_o eastward_o only_o that_o it_o cut_v the_o horizon_n 45_o deg_fw-la either_o from_o the_o cardines_fw-la west_n or_o north_n example_n of_o the_o southeast_n in_o the_o same_o latitude_n 8._o deg_fw-la in_o our_o place_n of_o of_o be_v as_o aforesaid_a i_o be_o to_o demonstrate_v three_o sagment_n of_o a_o great_a circle_n contain_v 30_o deg_fw-la apéece_n by_o the_o demonstrature_n southeast_n the_o end_n of_o which_o first_o sagment_n of_o 30_o deg_fw-la shall_v touch_v the_o 35_o deg_fw-la 40_o mi._n or_o meridian_n in_o longitude_n eastward_o from_o the_o first_o and_o there_o likewise_o touch_v the_o 52_o degree_n 10_o min._n parallel_v north_n and_o the_o end_n of_o the_o second_o sagment_n of_o 60_o deg_fw-la in_o longitude_n wall_n touch_v the_o 41_o degree_n 40_o min._n or_o meridian_n in_o longitude_n eastward_o from_o the_o first_o and_o there_o likewise_o touch_v the_o 22_o degree_n â—_o min._n parallel_v north_n likewise_o the_o end_n of_o the_o three_o sagment_n at_o 90_o deg_fw-la in_o longitude_n wall_n touch_v the_o 45_o deg_fw-la 30_o min._n or_o meridian_n in_o longitude_n eastward_o from_o the_o first_o and_o there_o likewise_o touch_v the_o 7_o parallel_n south_n also_o there_o tuech_v the_o horizon_n 45_o deg_fw-la either_o from_o the_o cardines_fw-la east_n or_o south_n south-west_n likewise_o the_o demonstrature_n of_o south-west_n cut_v the_o meridians_fw-la and_o parallel_n in_o longitude_n westward_o as_o the_o demonstrature_n of_o the_o southeast_n cut_v they_o eastward_o only_o that_o it_o cut_v the_o horizon_n 45_o deg_fw-la either_o from_o the_o cardines_fw-la south_n or_o west_n and_o as_o for_o the_o arch_n of_o depression_n from_o the_o horizon_n or_o senitor_n to_o the_o nadir_n of_o these_o point_n before_o speak_v of_o the_o delivery_n of_o they_o be_v even_o as_o easy_a as_o the_o former_a and_o so_o be_v the_o arch_n of_o altitude_n or_o arch_n of_o depression_n upon_o any_o azimuth_n whatsoever_o only_o this_o follow_v to_o be_v respect_v as_o a_o preparative_n before_o i_o deliver_v any_o nice_a example_n according_a to_o the_o difference_n it_o be_v necessary_a for_o i_o to_o explain_v in_o a_o more_o familiar_a sort_n at_o large_a some_o part_n of_o the_o difference_n only_o according_a to_o the_o demonstrature_n for_o the_o more_o confute_v of_o the_o card_n and_o the_o opinion_n hold_v thereof_o for_o the_o way_n out_o and_o home_n to_o be_v all_o one_o it_o be_v deliver_v in_o the_o 15_o absurdity_n of_o the_o card_n that_o upon_o some_o point_n of_o the_o compass_n the_o card_n deliver_v a_o way_n outward_a to_o be_v 390_o degree_n of_o a_o great_a circle_n and_o to_o return_v homeward_o to_o the_o first_o place_n again_o the_o like_a distance_n upon_o the_o same_o line_n which_o shall_v be_v prove_v most_o false_a by_o the_o example_n follow_v which_o example_n shall_v be_v from_o the_o latitude_n of_o 50_o degr_n and_o from_o the_o first_o example_n as_o before_o in_o the_o latitude_n 51_o degree_n 30_o min._n yet_o these_o deliver_v not_o the_o truth_n neither_o as_o by_o example_n upon_o the_o difference_n hereafter_o follow_v the_o 1_o example_n in_o north_n latitude_n 50_o deg_fw-la in_o which_o latitude_n our_o zenith_n or_o place_n of_o be_v in_o one_o meridian_n where_o we_o make_v our_o beginning_n of_o longitude_n and_o place_n of_o departure_n i_o be_o now_o to_o deliver_v from_o this_o our_o zenith_n or_o place_n of_o be_v the_o demonstrature_n of_o northwest_n for_o one_o sagment_n of_o 30_o degree_n in_o longitude_n which_o sagment_n end_n of_o 30_o degr_n northwest_o there_o cut_v the_o 11_o degr_n 30_o minute_n or_o meridian_n westward_o in_o longitude_n and_o the_o 63_o degree_n parallel_v north_n our_o zenith_n now_o be_v alter_v and_o the_o latitude_n 63_o degree_n as_o aforesaid_a we_o will_v make_v proof_n to_o return_v back_o again_o to_o our_o first_o place_n by_o the_o line_n southeast_n the_o like_a sagment_n of_o 30_o degree_n in_o longitude_n where_o this_o sagment_n end_n cut_v the_o 26_o degree_n 20_o minute_n or_o meridian_n in_o longitude_n eastward_o and_o there_o likewise_o cut_v the_o 37_o degree_n 40_o minute_n parallel_v north_n so_o that_o this_o line_n of_o northwest_n extend_v to_o 30_o degree_n as_o aforesaid_a and_o from_o thence_o return_v southeast_n to_o 30_o degree_n likewise_o there_o be_v difference_n in_o longitude_n westward_o from_o the_o first_o meridian_n or_o place_n of_o departure_n 25_o degree_n 10_o minute_n or_o meridians_fw-la and_o in_o latitude_n southward_a from_o the_o first_o 12_o deg_fw-la 20_o minute_n here_o you_o see_v the_o difference_n of_o the_o way_n out_o and_o home_n only_o for_o 30_o degree_n according_a to_o the_o demonstrature_n and_o only_o for_o the_o line_n of_o northwest_n and_o southeast_n the_o rest_n of_o the_o point_n have_v their_o like_a difference_n in_o their_o kind_n the_o 2._o example_n in_o north_n latitude_n 51_o deg_fw-la 30_o min._n i_o be_o now_o to_o deliver_v from_o this_o our_o zenith_n or_o place_n of_o be_v the_o demonstrature_n of_o the_o north-east_n to_o 90_o degr_n which_o line_n of_o north-east_n there_o cut_v the_o 128_o degree_n or_o meridian_n in_o longitude_n eastward_o from_o the_o first_o and_o there_o likewise_o cut_v the_o 26_o deg_fw-la 15_o minute_n parallel_v north_n as_o in_o the_o demonstrature_n be_v deliver_v our_o zenith_n now_o be_v alter_v and_o in_o the_o latitude_n 26_o degr_n 15_o minute_n as_o before_o say_v we_o will_v make_v a_o proof_n to_o return_v back_o again_o to_o the_o first_o place_n by_o the_o demonstrature_n south-west_n to_o 90_o degr_n where_o this_o line_n of_o south-west_n cut_v but_o the_o 65_o degr_n 30_o minute_n meridian_n in_o longitude_n westward_o and_o there_o likewise_o cut_v the_o 39_o degree_n 30_o minute_n parallel_v south_n so_o that_o this_o line_n of_o north-east_n extend_v to_o 90_o degree_n as_o aforesaid_a and_o from_o thence_o return_v south-west_n to_o 90_o degr_n likewise_o there_o be_v difference_n in_o longitude_n eastward_o from_o the_o first_o 62_o degree_n 30_o minute_n and_o in_o latitude_n southward_a from_o the_o first_o 91_o deg_fw-la here_o you_o see_v also_o the_o difference_n of_o the_o way_n out_o and_o home_n only_o for_o 90_o degr_n according_a to_o the_o demonstrature_n and_o only_o for_o the_o line_n of_o north-east_n and_o south-west_n and_o all_o the_o rest_n of_o the_o point_n be_v the_o like_a in_o their_o kind_n and_o so_o i_o leave_v the_o demonstrature_n now_o will_v i_o deliver_v example_n worthy_a the_o note_n of_o the_o way_n of_o the_o compass_n according_a to_o the_o difference_n the_o east_n or_o west_n of_o that_o compass_n rectify_v to_o the_o true_a meridian_n upon_o the_o difference_n make_v a_o spirall_n line_n in_o delatation_n to_o the_o equinoctial_a from_o what_o parallel_n soever_o by_o sagment_n of_o great_a circle_n correspondent_a for_o this_o purpose_n which_o sagment_n make_v right_a angle_n with_o the_o meridians_fw-la and_o which_o sagment_n deliver_v a_o right_a sign_n from_o the_o plain_a of_o the_o vertical_a circle_n of_o east_n &_o west_n for_o the_o way_n of_o a_o ship_n in_o her_o navigation_n and_o the_o meridian_n according_a to_o this_o difference_n deliver_v the_o other_o this_o part_n of_o the_o difference_n only_o confute_v the_o general_a card_n and_o the_o line_n of_o inclination_n with_o the_o geography_n of_o the_o globe_n this_o difference_n the_o east_n and_o west_n thereof_o delate_v as_o aforesaid_a rule_v notwithstanding_o the_o variation_n of_o the_o compass_n general_o speak_v of_o as_o for_o
example_n the_o compass_n here_o with_o we_o at_o london_n be_v set_v at_o half_a a_o point_n variation_n eastward_o where_o it_o shall_v be_v 10_o degree_n 38_o minute_n 45_o second_o by_o my_o own_o observation_n which_o be_v make_v in_o the_o year_n 1586._o which_o make_v the_o west_n to_o be_v half_o a_o point_n to_o the_o northward_n of_o the_o west_n therefore_o in_o go_v from_o silly_a which_o be_v in_o latitude_n 50_o degree_n 15_o minute_n or_o there_o about_o west_n by_o the_o compass_n which_o be_v in_o truth_n west_n half_a north_n with_o cape_n race_n in_o newfoundland_n the_o place_n distant_a some_o 600_o league_n from_o other_o cause_v a_o fall_a more_o southerly_a into_o the_o latitude_n 46_o degr_n 30_o minute_n or_o thereabouts_o which_o show_v the_o way_n of_o the_o difference_n to_o rule_v in_o this_o distance_n and_o by_o a_o compass_n rectify_v to_o the_o truemeridian_n that_o be_v a_o compass_n that_o the_o north_n and_o south_n thereof_o deliver_v or_o point_v according_a to_o that_o true_a meridian_n of_o silly_a on_o which_o meridian_n be_v deliver_v the_o arch_n of_o altitude_n or_o almicanter_n of_o the_o sun_n height_n at_o nâ—ne_n by_o which_o or_o such_o compass_n cape_n race_n hear_v from_o silly_a due_a west_n and_o by_o north_n and_o there_o touch_v the_o parallel_n of_o north_n latitude_n 46_o degree_n 30_o minute_n likewise_o touch_v the_o meridian_n in_o longitude_n westward_o from_o silly_a the_o 45_o degree_n 40_o minute_n according_a to_o the_o coart_n of_o the_o meridians_fw-la in_o this_o distance_n and_o to_o speak_v the_o truth_n in_o this_o distance_n there_o be_v but_o little_a or_o novariation_n of_o the_o compass_n to_o be_v respect_v for_o the_o compass_n at_o silly_a set_v at_o the_o whole_a variation_n as_o it_o ought_v to_o be_v yet_o in_o sail_v by_o that_o compass_n you_o run_v some_o 400_o league_n before_o the_o north_n and_o south_n point_v thereof_o deliver_v the_o true_a meridian_n and_o in_o sail_v the_o other_o 200_o league_n the_o compass_n be_v vary_v westward_o a_o point_n and_o a_o half_a or_o there_o about_o which_o be_v no_o more_o than_o will_v answer_v the_o variation_n eastward_o as_o before_o so_o that_o in_o this_o distance_n the_o nutation_n of_o the_o compass_n eastward_o &_o westward_o consider_v aright_o be_v as_o nothing_o to_o be_v respect_v but_o the_o one_o set_v against_o the_o other_o as_o by_o the_o example_n follow_v be_v prove_v the_o first_o example_n let_v a_o compass_n be_v rectify_v to_o the_o nutation_n and_o sail_n from_o silly_a therewithal_o to_o cape_n race_n west_n &_o when_o you_o come_v on_o the_o coast_n of_o newfoundland_n you_o shall_v be_v delate_a from_o the_o parallel_n of_o silly_a only_o according_a to_o the_o difference_n and_o not_o otherwise_o the_o second_o example_n let_v the_o compass_n be_v set_v at_o half_a a_o point_n nutation_n as_o most_o common_o it_o be_v and_o sail_n by_o the_o compass_n from_o silly_a west_n with_o cape_n race_n and_o you_o wall_n perforce_o keep_v that_o course_n direct_o fall_v into_o more_o southerly_a latitude_n which_o be_v into_o 46_o degree_n 30_o min._n or_o thereabouts_o according_a to_o the_o difference_n and_o not_o otherwise_o the_o three_o example_n let_v the_o compass_n be_v rectify_v to_o the_o true_a meridian_n and_o sail_v by_o that_o compass_n from_o silly_a west_n with_o cape_n race_n and_o you_o shall_v likewise_o fall_v into_o the_o latitude_n 44_o degr_n or_o thereabouts_o according_a to_o the_o difference_n and_o as_o for_o this_o way_n above_o say_v be_v deliver_v a_o delate_n from_o the_o parallel_n in_o go_v west_n so_o likewise_o in_o return_v east_n from_o thene_n again_o you_o shall_v likewise_o delate_v from_o that_o parallel_n again_o according_a to_o the_o difference_n which_o delivery_n overthrow_v the_o whole_a card._n again_o look_v how_o the_o difference_n of_o the_o east_n and_o west_n rule_v in_o the_o distance_n and_o differedce_n in_o longitude_n as_o aforesaid_a so_o in_o any_o other_o distance_n and_o difference_n in_o longitude_n it_o be_v likewise_o to_o be_v respect_v also_o this_o difference_n of_o the_o east_n and_o west_n be_v the_o ground_n from_o whence_o the_o difference_n be_v deliver_v for_o all_o the_o rest_n of_o the_o point_n of_o the_o compass_n so_o that_o you_o see_v this_o way_n upon_o the_o difference_n deliver_v way_n outward_a to_o any_o place_n different_z unto_o the_o way_n homeward_o be_v not_o both_o alike_o as_o by_o the_o example_n of_o the_o north-east_n and_o return_v south-west_n likewise_o of_o the_o northwest_n and_o return_v southeast_n as_o hereafter_o appear_v the_o 1_o part_n of_o the_o 1_o example_n from_o the_o equator_fw-la be_v in_o the_o equinoctial_a in_o any_o one_o meridian_n i_o will_v there_o make_v my_o beginning_n of_o longitude_n from_o which_o equator_fw-la and_o meridian_n of_o longitude_n i_o will_v deliver_v the_o line_n of_o inclination_n north-east_n continue_v it_o to_o the_o latitude_n 75_o degr_n 6_o minute_n 14_o second_o according_a to_o the_o difference_n the_o 2_o part_n of_o the_o 1_o example_n the_o line_n of_o the_o north-east_n continue_v to_o the_o latitude_n 75_o degree_n 6_o minute_n 14_o second_o according_a to_o the_o difference_n end_v in_o the_o longitude_n 131_o degree_n from_o the_o first_o reckon_v according_a to_o the_o meridians_fw-la in_o this_o distance_n coart_v the_o 3_o part_n of_o the_o 1._o example_n be_v in_o the_o latitude_n 75_o degree_n 6_o minute_n 14_o second_o and_o in_o the_o longitude_n 131_o degree_n as_o aforesaid_a i_o be_o now_o to_o return_v back_o again_o by_o the_o line_n of_o inclination_n south_n west_n to_o the_o equinoctial_a conclusion_n of_o the_o 1_o example_n be_v return_v to_o the_o equinoctial_a as_o aforesaid_a i_o do_v â—nd_v the_o length_n of_o the_o line_n of_o inclination_n south-west_n homeward_o to_o be_v short_a than_o the_o line_n of_o north-east_n outward_a by_o 130_o league_n and_o i_o be_o in_o longitude_n eastwerd_v from_o the_o first_o place_n on_o the_o equinoctial_a 70_o league_n therefore_o the_o way_n out_o and_o home_n not_o all_o one_o another_o example_n north_n latitude_n 50_o degree_n i_o sail_v northwest_n 50_o league_n at_o the_o 50_o league_n end_n i_o have_v alter_v my_o longitude_n from_o the_o first_o 2_o degree_n 38_o minute_n and_o my_o latitude_n 1_o degree_n 40_o minute_n i_o return_v back_o again_o southeast_n 50_o league_n and_o be_v return_v i_o find_v myself_o in_o less_o longitude_n or_o westward_o from_o the_o first_o 3_o minute_n and_o in_o latitude_n more_o than_o the_o first_o 6_o minute_n another_o example_n in_o the_o north_n latitude_n 60_o degree_n i_o sail_v northwest_n 50_o league_n at_o this_o sagment_n end_n my_o longitude_n from_o the_o first_o be_v 3_o degree_n 30_o minute_n and_o latitude_n from_o the_o first_o 1_o degree_n 50_o minute_n i_o return_v back_o again_o southeast_n 50_o league_n and_o be_v return_v i_o find_v myself_o in_o less_o longitude_n or_o westward_o from_o the_o first_o 5_o minute_n and_o in_o latitude_n more_o than_o the_o first_o 10_o minute_n and_o for_o the_o more_o confute_v of_o the_o way_n out_o and_o home_n to_o be_v all_o one_o and_o the_o more_o justify_v the_o delate_n from_o the_o parallel_n to_o be_v true_a i_o will_v deliver_v some_o more_o example_n upon_o the_o east_n for_o a_o sagment_n of_o 20_o league_n in_o the_o latitude_n 51_o degree_n 30_o minute_n and_o 75_o degree_n deliver_v the_o horizontall_a distance_n between_o the_o east_n according_a as_o be_v say_v to_o lead_v in_o a_o parallel_n and_o the_o way_n of_o the_o east_n according_a to_o the_o difference_n as_o follow_v in_o latitude_n 51_o deg_fw-la 30_o minute_n my_o first_o place_n from_o any_o one_o meridian_n of_o longitude_n i_o take_v a_o sagment_n of_o the_o parallel_n in_o this_o latitude_n of_o 20_o league_n presuppose_v by_o some_o to_o be_v east_n from_o the_o first_o place_n and_o again_o i_o do_v depart_v from_o my_o first_o place_n of_o be_v 20_o league_n eastward_o according_a to_o the_o difference_n now_o at_o this_o 20_o league_n end_n i_o be_o delate_a from_o the_o parallel_n according_a to_o the_o way_n upon_o the_o difference_n which_o make_v my_o place_n now_o of_o be_v to_o hear_v from_o the_o first_o place_n two_o azimuthe_n and_o 〈◊〉_d more_o southerly_a as_o for_o example_n to_o explain_v it_o more_o brief_o i_o imagine_v one_o line_n from_o the_o first_o place_n east_n according_a to_o the_o parallel_n 20_o league_n imagine_v another_o line_n from_o the_o first_o place_n east_n by_o the_o compass_n according_a to_o the_o way_n upon_o the_o difference_n now_o the_o horizontall_a distance_n between_o these_o two_o line_n at_o 20_o league_n end_n from_o the_o first_o place_n shall_v be_v as_o before_o two_o azimuth_n 〈◊〉_d in_o the_o latitude_n 75_o my_o first_o
place_n and_o meridian_n of_o longitude_n i_o take_v a_o sagment_n of_o the_o parallel_n in_o this_o latitude_n of_o 20_o league_n presuppose_v likewise_o by_o many_o to_o be_v east_n from_o the_o first_o place_n and_o again_o i_o do_v depart_v from_o my_o first_o place_n of_o be_v 〈◊〉_d league_n east_n according_a to_o the_o way_n upon_o the_o difference_n now_o at_o this_o twenty_o league_n end_n my_o horizontall_a distance_n between_o my_o place_n of_o be_v and_o place_n as_o aforesaid_a on_o the_o parallel_n from_o the_o first_o place_n in_o 3_o azimuths_n 〈◊〉_d likewise_o this_o way_n of_o the_o difference_n deliver_v upon_o any_o aziemuth_n or_o point_n of_o compass_n sagment_n of_o great_a circle_n different_a from_o other_o correspondent_a as_o they_o ought_v to_o be_v for_o the_o difference_n in_o longitude_n as_o hereafter_o by_o three_o example_n of_o the_o north_n northwest_n follow_v appear_v which_o confute_v the_o 12_o absurdity_n of_o the_o card._n three_o example_n of_o the_o north_n north_n west_n for_o the_o difference_n of_o the_o length_n of_o the_o sagment_n in_o longitude_n from_o the_o equinoctial_a to_o 80_o degree_n in_o latitude_n as_o follow_v the_o first_o example_n from_o the_o equator_fw-la be_v in_o the_o equinoctial_a in_o one_o meridian_n the_o sagment_n of_o n._n northwest_n to_o reach_v to_o the_o next_o meridian_n which_o be_v one_o degree_n in_o longitude_n be_v in_o length_n 52_o league_n â…“_n the_o 2_o example_n from_o 40_o deg_fw-la of_o latitude_n be_v in_o 40_o degr_n of_o latitude_n and_o in_o one_o meridian_n the_o sagment_n of_o north_n northwest_n to_o touch_v the_o next_o meridian_n be_v in_o length_n 17_o league_n â…“_n the_o 3_o example_n from_o 80_o degree_n of_o latitude_n be_v in_o 80_o degree_n of_o latitude_n and_o in_o one_o meridian_n the_o sagment_n of_o north_n northwest_n to_o touch_v the_o next_o meridian_n be_v in_o length_n 〈◊〉_d league_n â…”_n also_o this_o way_n of_o the_o difference_n deliver_v upon_o any_o azimuth_n or_o point_n of_o the_o compass_n sagment_n of_o great_a circle_n different_a from_o other_o for_o the_o lay_n or_o raise_v of_o a_o degree_n in_o latitude_n whatsoever_o as_o by_o 3_o example_n of_o the_o west_n north_n west_n follow_v appear_v which_o confute_v the_o 13_o absurdity_n of_o the_o card_n the_o 1_o example_n from_o the_o equator_fw-la i_o be_v in_o the_o equinoctial_a be_o require_v to_o deliver_v a_o sagment_n of_o the_o west_n north_n west_n only_o to_o raise_v a_o degree_n in_o latitude_n which_o according_a to_o the_o difference_n be_v 52_o league_n and_o â…”_n the_o 2_o example_n from_o 40_o deg_fw-la of_o latitude_n i_o be_v in_o 40_o degree_n of_o latitude_n the_o sagment_n of_o west_n northwest_n to_o raise_v a_o deg_fw-la in_o latitude_n upon_o the_o difference_n be_v 56_o league_n the_o 3_o example_n from_o 80_o deg_fw-la of_o latitude_n i_o be_v in_o 80_o degree_n of_o latitude_n the_o segment_n of_o a_o west_n northwest_n to_o raise_v a_o deg_fw-la in_o latitude_n upon_o the_o differ_v once_o be_v 60_o league_n and_o thas_o will_v i_o leave_v the_o way_n of_o the_o compass_n upon_o the_o difference_n for_o this_o time_n and_o because_o the_o variation_n or_o nutation_n concern_v the_o compass_n and_o be_v a_o thing_n deliver_v in_o print_n mean_v belike_o to_o some_o purpose_n therefore_o i_o will_v touch_v this_o variation_n or_o nutation_n in_o some_o few_o word_n as_o hereafter_o follow_v if_o a_o man_n for_o his_o delivery_n of_o the_o variation_n in_o print_n will_v observe_v by_o a_o needle_n touch_v by_o some_o who_o make_v the_o common_a or_o ordinary_a compass_n i_o take_v it_o precise_a fellow_n will_v soon_o be_v deliver_v forth_o that_o the_o variation_n so_o set_v in_o print_n be_v wide_o from_o the_o truth_n because_o with_o some_o man_n in_o the_o touch_n of_o a_o needle_n or_o compass_n though_o the_o stone_n they_o touch_v withal_o be_v not_o the_o best_a neither_o shall_v a_o inch_n in_o breadth_n of_o the_o north_n part_n of_o that_o stone_n break_v any_o square_n with_o they_o by_o who_o compass_n many_o time_n ship_v at_o the_o sea_n be_v endanger_v it_o be_v better_o for_o a_o man_n for_o the_o security_n of_o his_o charge_n or_o that_o purpose_v to_o set_v down_o the_o variation_n in_o print_n to_o take_v a_o needle_n touch_v by_o a_o better_a stone_n and_o a_o more_o perfect_a man_n to_o handle_v the_o touch_v thereof_o true_o when_o robert_n norman_n die_v who_o have_v a_o good_a stone_n sea_n man_n have_v a_o great_a loss_n yet_o master_n mullinux_n of_o lambeth_n who_o have_v a_o better_a stone_n be_v as_o careful_a &_o as_o precise_a in_o hiâ—_n 〈◊〉_d concern_v the_o touch_v of_o needle_n &_o compass_n as_o over_o master_n norman_n be_v notwithstanding_o the_o variation_n by_o such_o a_o good_a needle_n set_v down_o in_o print_n and_o deliver_v as_o a_o general_a thing_n bâ—_n thing_n this_o 〈◊〉_d to_o pass_v 〈◊〉_d mistakin_n gâ—_n true_a place_n 〈◊〉_d the_o pole_n câ—_n stone_n fâ—_n master_n gâ—_n brand_n anâ—_n there_o be_v with_o 〈◊〉_d observe_v 〈◊〉_d variation_n 〈◊〉_d two_o severaâ—_n needle_n to_o 〈◊〉_d ed_z with_o twâ—_n verall_a stoâ—_n find_v the_o 〈◊〉_d riation_n to_o 〈◊〉_d the_o same_o 〈◊〉_d the_o like_a i_o 〈◊〉_d see_v beforâ—_n since_o h._n bâ—_n will_v be_v but_o â—ested_v at_o and_o make_v a_o thing_n indeed_o that_o a_o man_n may_v spend_v much_o time_n to_o no_o purpose_n and_o less_o edify_v to_o the_o seaman_n as_o some_o have_v do_v my_o reason_n be_v this_o because_o this_o stone_n though_o a_o notable_a one_o and_o i_o have_v not_o see_v a_o better_a and_o good_a to_o make_v abservation_n withal_o to_o be_v keep_v to_o a_o man_n self_n or_o out_o of_o print_n or_o for_o the_o amplify_a of_o some_o note_n in_o writing_n ☞_o it_o can_v deliver_v the_o variation_n of_o another_o stone_n for_o in_o truth_n the_o variation_n deliver_v by_o many_o stove_n be_v different_a you_o shall_v not_o have_v two_o stone_n alike_o quality_v or_o that_o will_v deliver_v one_o or_o a_o like_a variation_n but_o the_o variation_n of_o every_o stone_n differ_v from_o other_o there_o can_v general_o be_v set_v down_o a_o certain_a variation_n for_o any_o one_o place_n which_o let_v suffice_v for_o this_o time_n therefore_o that_o man_n that_o be_v conceit_v to_o set_v the_o variation_n in_o print_n as_o a_o general_a thing_n though_o it_o be_v myself_o all_o thing_n to_o nothing_o i_o will_v there_o in_o my_o delivery_n likewise_o he_o condentn_v all_o man_n knowledge_n save_v my_o own_o to_o justify_v my_o do_n but_o to_o the_o matter_n the_o variation_n or_o nutation_n of_o the_o compass_n as_o it_o shall_v at_o any_o time_n or_o place_n be_v find_v be_v a_o thing_n to_o be_v note_v yet_o my_o delivery_n be_v of_o it_o that_o it_o be_v not_o surpass_v all_o other_o knowledge_n neither_o the_o overthrow_n of_o good_a knewledge_n neither_o will_v i_o accept_v of_o it_o as_o a_o thing_n notable_a above_o all_o the_o rest_n my_o reason_n be_v this_o because_o the_o way_n upon_o the_o difference_n be_v more_o excellent_a over_o rule_v it_o which_o indeed_o they_o impute_v to_o variation_n which_o be_v untrue_a and_o thus_o will_v i_o leave_v the_o nutation_n of_o the_o compass_n and_o whereas_o before_o in_o my_o delivery_n of_o the_o nutation_n i_o have_v forget_v to_o give_v a_o taste_n of_o the_o error_n which_o be_v likewise_o set_v in_o print_n and_o conceive_v the_o nice_a delivery_n of_o the_o say_a nutation_n i_o think_v it_o now_o therefore_o good_a though_o late_o not_o to_o overpasse_v it_o but_o to_o give_v knowledge_n thereof_o it_o be_v say_v that_o the_o middle_a point_n between_o any_o two_o azimuthe_n observe_v upon_o equal_a elevation_n in_o forenoon_n and_o afternoon_n be_v the_o true_a meridian_n for_o the_o confute_v hereof_o i_o will_v deliver_v you_o a_o example_n in_o the_o north_n latitude_n 51_o degree_n 32_o minute_n as_o follow_v the_o sun_n be_v in_o her_o swift_a declination_n in_o or_o near_o the_o equanor_n i_o purpose_v to_o make_v two_o observation_n the_o former_a observation_n to_o be_v 2_o min_fw-mi before_o 8_o of_o the_o clock_n in_o the_o forenoon_n the_o almicanter_n deliver_v then_o by_o the_o centre_n of_o the_o sun_n be_v 18_o deg_fw-la in_o elevation_n &_o the_o horizontall_a distance_n eastward_o from_o the_o true_a meridian_n deliver_v by_o the_o azimuth_n of_o the_o sun_n to_o be_v 66_o degr_n 38_o min._n the_o second_o observation_n in_o the_o afternoon_n the_o sun_n have_v the_o same_o almicanter_n 18_o degree_n the_o declination_n increa_v respect_v for_o 8_o hour_n which_o be_v 8_o min._n north_n declination_n make_v the_o time_n to_o be_v 3_o min._n after_o 42_o clock_n in_o the_o afternoon_n wherein_o there_o be_v a_o min._n of_o time_n different_a from_o the_o south_n and_o
also_o be_v under_o the_o equinoctial_a the_o north-east_n southeast_n and_o southwest_n azimuth_n do_v require_v 1_o deg_fw-la 24_o min._n 51_o second_o 24_o three_o to_o raise_v one_o degree_n of_o latitude_n but_o be_v in_o a_o parallel_n 60_o deg_fw-la 0_o min._n north_n the_o north-east_n and_o northwest_o require_v 1_n deg_fw-la 26_o min._n 13_o second_o 3_o three_o of_o distance_n to_o raise_v one_o degree_n of_o latitude_n and_o in_o the_o same_o parallel_n of_o 60_o deg_fw-la 0_o min._n the_o southeast_n and_o south-west_n require_v no_o more_o but_o 1_o deg_fw-la 23_o min._n 32_o second_o 53_o three_o for_o one_o degree_n of_o the_o pole_n depression_n hereby_o it_o appear_v that_o the_o segment_n of_o north-east_n and_o northwest_o be_v great_a to_o raise_v one_o degree_n than_o the_o segment_n of_o southeast_n and_o south-west_n to_o depress_v one_o degree_n by_o 0_o deg_fw-la 2_o min._n 35_o second_v 10_o three_o moreover_o the_o great_a segment_n which_o do_v raise_v 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great_a be_v the_o variety_n and_o the_o east_n and_o west_n be_v most_o variable_a moreover_o in_o north_n latitude_n if_o the_o course_n be_v between_o the_o south_n and_o the_o east_n or_o west_n than_o the_o way_n homeward_o return_v by_o the_o opposite_a to_o the_o meridian_n of_o the_o place_n of_o departure_n shall_v be_v short_a than_o the_o way_n outward_o and_o fall_v into_o a_o lesser_a latitude_n according_a to_o the_o course_n distance_z and_o declination_n from_o the_o equinoctial_a but_o if_o the_o course_n be_v between_o the_o north_n and_o the_o east_n and_o the_o north_n and_o the_o west_n then_o in_o return_v by_o the_o opposite_a to_o the_o meridian_n of_o the_o place_n departure_n the_o way_n homeward_o shall_v be_v long_o than_o the_o way_n outward_o fall_v likewise_o into_o a_o lesser_a latitude_n according_a to_o the_o course_n distance_z and_o the_o declination_n from_o the_o equinoctial_a nautae_fw-la if_o the_o spirall_n or_o helisphericall_a way_n of_o a_o ship_n upon_o the_o superficies_n of_o the_o sea_n be_v compose_v of_o segment_n of_o great_a circle_n have_v also_o those_o segment_n limit_v or_o hond_v to_o contain_v 20_o or_o 30_o league_n a_o piece_n then_o shall_v all_o your_o former_a allegation_n be_v true_a but_o those_o segment_n in_o regard_n of_o their_o smallness_n can_v be_v sensible_o distinguish_v neither_o can_v it_o be_v certain_o say_v that_o a_o ship_n in_o keep_v always_o one_o course_n continue_v under_o one_o great_a circle_n 1_o league_n or_o 1_o mile_n for_o when_o the_o course_n be_v always_o continue_v according_a to_o any_o one_o point_n of_o the_o compass_n it_o make_v a_o oblique_a angle_n with_o the_o meridian_n and_o then_o so_o often_o as_o the_o ship_n change_v her_o zenith_n so_o often_o she_o change_v likewise_o the_o great_a circle_n she_o make_v her_o way_n in_o that_o be_v to_o say_v so_o many_o zenith_n as_o she_o pass_v under_o so_o many_o great_a circle_n she_o make_v her_o way_n in_o and_o each_o of_o those_o circle_n make_v several_a angle_n with_o the_o equinoctial_a and_o the_o great_a the_o latitude_n be_v the_o great_a be_v the_o angle_n for_o in_o the_o latitude_n of_o 59_o deg_fw-la 30_o min._n the_o vertical_a circle_n of_o south-west_n and_o northeast_n make_v a_o angle_n of_o 68_o deg_fw-la 58_o min._n with_o the_o equator_fw-la and_o in_o latitude_n 60_o deg_fw-la 0_o min._n the_o azimuth_n of_o south-west_n and_o northeast_n make_v a_o angle_n of_o 69_o deg_fw-la 18_o min._n with_o the_o equinoctial_a also_o in_o parallel_n 60_o deg_fw-la 30_o min._n the_o south-west_n and_o northeast_n azimuthe_n make_v a_o angle_n of_o 69_o deg_fw-la 37_o min._n with_o the_o equator_fw-la and_o in_o the_o latitude_n of_o 68_o deg_fw-la 58_o min._n it_o make_v a_o angle_n of_o 69_o deg_fw-la 18_o min._n and_o in_o the_o latitude_n of_o 69_o deg_fw-la 37_o min._n the_o foresay_a great_a circle_n make_v right_a angle_n with_o the_o meridian_n and_o be_v circle_n of_o west_n 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compose_v make_v like_o angle_n with_o the_o equator_fw-la that_o be_v to_o say_v equal_a to_o the_o latitude_n and_o the_o ship_n shall_v according_a to_o that_o course_n run_v a_o parallel_n to_o the_o equinoctial_a geograph_n i_o think_v that_o be_v strange_a that_o you_o will_v allow_v the_o east_n and_o west_n way_n of_o a_o ship_n be_v make_v in_o segment_n of_o great_a circle_n to_o entersect_v the_o equator_fw-la at_o east_n and_o west_n by_o reason_n whereof_o they_o be_v touch-line_n to_o the_o parallel_n of_o latitude_n and_o yet_o you_o will_v not_o allow_v or_o grant_v the_o east_n and_o west_n to_o make_v a_o spirall_n way_n as_o well_o as_o the_o rest_n for_o how_o be_v it_o possible_a that_o the_o line_n of_o inclination_n or_o way_n of_o a_o ship_n be_v compose_v of_o segment_n of_o great_a circle_n and_o those_o touch-line_n to_o the_o parallel_n of_o latitude_n so_o that_o the_o ship_n cape_v be_v quite_o contrary_a to_o the_o parallel_n and_o make_v oblique_a 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parallel_n 60_o deg_fw-la 0_o min._n again_o let_v 10800_o segment_n be_v produce_v in_o the_o same_o parallel_n of_o 60_o deg_fw-la 0_o min._n of_o 0_o deg_fw-la 1_o min._n one_o minute_n apiece_o due_a east_n or_o west_n and_o work_v according_a to_o the_o former_a manner_n the_o last_o segment_n will_v end_v in_o 59_o deg_fw-la 57_o min._n ½_n which_o dilate_v from_o parallel_n 60_o deg_fw-la 0_o min._n but_o 2½_n minute_n wherefore_o the_o consideration_n hereof_o may_v serve_v for_o a_o sufficient_a satisfaction_n plain_o to_o prove_v that_o the_o east_n and_o west_n direct_v by_o the_o magnetical_a needle_n or_o compass_n do_v lead_v in_o a_o magnetical_a parallel_n for_o as_o great_a segment_n have_v their_o great_a variety_n and_o lesser_a segment_n have_v their_o lesser_a alteration_n correspondent_a unto_o they_o so_o by_o the_o same_o reason_n insensible_a segment_n must_v have_v insensible_a difference_n and_o the_o like_a reason_n hold_v for_o any_o other_o point_n of_o the_o compass_n as_o well_o as_o for_o the_o east_n or_o west_n as_o i_o have_v former_o show_v you_o and_o at_o our_o next_o meeting_n i_o will_v set_v you_o down_o or_o show_v you_o the_o theorem_n for_o operate_a of_o it_o but_o you_o will_v say_v here_o be_v in_o 10800_o minute_n a_o difference_n of_o 2½_n minute_n and_o segment_n of_o minute_n in_o a_o man_n judgement_n be_v so_o small_a that_o a_o ship_n can_v make_v her_o way_n in_o lesser_a segment_n and_o yet_o these_o segment_n be_v not_o void_a of_o a_o sensible_a difference_n i_o answer_v as_o before_o that_o neither_o in_o sail_v east_n or_o west_n nor_o in_o the_o spirall_n or_o melisphericall_a way_n by_o any_o other_o course_n or_o point_n of_o the_o compass_n a_o ship_n continuance_n under_o a_o great_a circle_n or_o circle_n can_v be_v terminate_v and_o whereas_o 10800_o minute_n do_v in_o the_o east_n or_o west_n from_o latitude_n 60_o deg_fw-la 0_o min._n produce_v a_o difference_n of_o 2½_n minute_n i_o say_v inrespect_n of_o â—0_n great_a a_o distance_n the_o difference_n be_v insousible_a but_o if_o you_o please_v to_o take_v so_o much_o pain_n for_o the_o former_a parallel_n of_o 60_o deg_fw-la 0_o min._n to_o make_v a_o trial_n from_o second_o to_o second_o that_o be_v 〈◊〉_d 648000_o segment_n be_v produce_v east_n or_o west_n each_o segment_n to_o contain_v one_o second_o and_o the_o end_n of_o the_o last_o segment_n shall_v not_o be_v from_o the_o first_o place_n so_o much_o as_o one_o second_o and_o thus_o have_v prove_v sufficient_o that_o the_o east_n and_o west_n be_v direct_v by_o the_o magnetical_a needle_n or_o compass_n do_v lead_v in_o a_o magnetical_a parallel_n and_o also_o that_o in_o keep_v one_o course_n the_o ship_n way_n be_v spirall_n or_o helisphericall_a and_o return_v by_o the_o opposite_a point_n thereof_o the_o ship_n shall_v again_o fall_v with_o the_o place_n of_o her_o departure_n we_o will_v finish_v this_o discourse_n and_o speak_v of_o some_o principal_a rule_n which_o of_o all_o seaman_n and_o mariner_n ought_v to_o be_v know_v geograph_n what_o be_v the_o first_o and_o most_o useful_a proposition_n in_o the_o pariner_n practise_v to_o be_v take_v notice_n of_o nau._n by_o the_o course_n and_o both_o latitude_n to_o find_v the_o difference_n of_o longitude_n and_o the_o distance_n geo._n for_o what_o reason_n be_v that_o proposition_n be_v sail_v the_o primary_n and_o most_o useful_a nau._n because_o the_o course_n be_v common_o give_v and_o the_o latitude_n may_v be_v know_v by_o observation_n but_o the_o distance_n and_o the_o difference_n of_o longitude_n by_o sail_v may_v be_v suppose_v but_o not_o certain_o know_v without_o the_o help_n of_o the_o former_a and_o so_o likewise_o the_o distance_n in_o sail_v east_n or_o west_n may_v be_v suppose_v but_o not_o certain_o know_v geo._n i_o pray_v you_o sir_n let_v we_o then_o procee_v 〈◊〉_d the_o practice_n without_o any_o further_a circumstance_n that_o have_v both_o latitude_n and_o the_o course_n we_o may_v â—nde_v the_o difference_n of_o longitude_n and_o the_o distance_n nau._n we_o will_v sir_n suppose_v a_o ship_n to_o be_v in_o latitude_n 50_o deg_fw-la 0_o min._n north_n latitude_n sail_v south_n south-west_n ½_n point_n west_n until_o she_o be_v in_o the_o latitude_n of_o 47_o deg_fw-la 0_o min._n i_o demand_v the_o difference_n of_o longitude_n and_o the_o distance_n the_o ship_n have_v run_v the_o theorem_fw-la as_o a_o mean_a proportional_a between_o the_o fine_n of_o the_o compliment_n of_o both_o latitude_n be_v to_o the_o tangent_fw-la of_o the_o course_n so_o be_v the_o difference_n of_o latitude_n to_o the_o difference_n of_o longitude_n which_o by_o the_o logarithme_n be_v thus_o add_v the_o logarithme_n tangent_fw-la of_o the_o course_n 28_o deg_fw-la 7_o min._n to_o 〈◊〉_d logarithme_n of_o the_o difference_n of_o latitude_n 60_o league_n and_o from_o that_o sum_n subtract_v half_o the_o sine_fw-la compliment_n of_o 50_o deg_fw-la 0_o min._n which_o be_v half_a the_o sine_fw-la of_o 40_o deg_fw-la 0_o min._n and_o half_a the_o sine_fw-la compliment_n of_o 47_o deg_fw-la 0_o min._n which_o be_v half_a the_o sine_fw-la of_o 43_o deg_fw-la 0_o min._n add_v together_o i_o mean_v logarithme_n sin_n and_o the_o remainder_n shall_v be_v the_o logarithme_n of_o the_o difference_n of_o longitude_n geo._n what_o be_v the_o second_o most_o useful_a proposition_n that_o a_o mariner_n in_o his_o practice_n be_v to_o take_v notice_n of_o nau._n by_o both_o latitude_n and_o the_o departure_n from_o the_o meridian_n to_o find_v the_o difference_n of_o longitude_n the_o course_n and_o the_o distance_n geo._n wherefore_o do_v you_o account_v this_o to_o be_v the_o second_o most_o useful_a proposition_n in_o the_o mariner_n practice_n nau._n because_o all_o mariner_n that_o keep_v their_o account_n by_o difference_n of_o latitude_n and_o difference_n of_o longitude_n which_o only_o be_v the_o true_a way_n after_o that_o they_o have_v caâ—â—_n up_o their_o traverse_n by_o difference_n of_o latitude_n and_o departure_n from_o the_o meridian_n do_v find_v their_o difference_n of_o longitude_n as_o well_o as_o their_o course_n and_o their_o distance_n from_o their_o first_o place_n where_o they_o begin_v their_o traverse_n this_o way_n geo._n i_o pray_v you_o sir_n set_v i_o down_o the_o theorem_n for_o the_o operate_n of_o this_o nau._n i_o will_v sir_n which_o be_v these_o follow_v 1_o as_o the_o sum_n of_o half_a the_o logarithme_n sin_n of_o the_o compliment_n of_o both_o latitude_n be_v to_o the_o departure_n from_o the_o meridian_n so_o be_v the_o radius_fw-la to_o the_o difference_n of_o longitude_n 2_o as_o the_o difference_n of_o latitude_n be_v to_o the_o departure_n from_o the_o meridian_n so_o be_v the_o radius_fw-la to_o the_o tangent_fw-la of_o the_o course_n 3_o as_o the_o sine_fw-la of_o the_o compliment_n of_o the_o course_n be_v to_o the_o radius_fw-la so_o be_v the_o difference_n of_o latitude_n to_o the_o distance_n that_o the_o ship_n have_v run_v from_o the_o first_o place_n where_o she_o begin_v her_o traverse_n geo._n what_o be_v the_o three_o and_o as_o i_o remember_v you_o say_v the_o last_o useful_a peoposition_n to_o be_v take_v notice_n of_o in_o the_o mariner_n practice_n nau._n by_o have_v give_v the_o latitude_n of_o two_o place_n and_o their_o difference_n of_o longitude_n to_o find_v the_o magnetical_a course_n or_o rhomb_n and_o the_o distance_n geo._n how_o can_v this_o be_v useful_a for_o a_o mariner_n in_o his_o practice_n nau._n because_o many_o time_n it_o chance_v that_o a_o mariner_n be_v to_o sail_v from_o one_o port_n who_o latitude_n and_o longitude_n he_o have_v in_o geographical_a table_n as_o in_o mr._n hugh_n his_o use_n of_o the_o globe_n or_o in_o the_o table_n of_o the_o seaman_n calendar_n and_o be_v to_o sail_v so_o another_o port_n who_o latitude_n and_o longitude_n he_o have_v also_o in_o the_o say_a table_n and_o by_o this_o proposition_n be_v 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judgement_n very_o much_o in_o the_o matter_n of_o navigation_n nau._n sir_n i_o be_o very_o joyful_a of_o it_o fare_v you_o well_o finis_fw-la