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if_o you_o will_v multiply_v 355_o by_o 48_o say_v 1_o 355_o 48_o 17040_o for_o if_o in_o the_o line_n of_o number_n on_o the_o staff_n you_o reckon_v 355_o and_o apply_v the_o same_o to_o 1_o in_o the_o line_n of_o number_n on_o the_o transversarie_n then_o shall_v 48_o on_o the_o transversarie_n show_v 17040_o on_o the_o staff_n again_o if_o you_o will_v divide_v 17040_o by_o 48_o say_v 48_o 1_o 17040_o 355_o for_o if_o in_o the_o line_n of_o number_n on_o the_o transversarie_n you_o reckon_v 48_o and_o to_o the_o same_o apply_v 1_o in_o the_o line_n of_o number_n on_o the_o staff_n then_o shall_v 17040_o on_o the_o transversarie_n show_v 355_o on_o the_o staff_n the_o true_a value_n of_o the_o four_o term_v find_v may_v be_v have_v by_o the_o 5_o &_o 6_o sect_n 2_o chap_n 1_o part_n some_o example_n of_o work_a proportion_n we_o will_v borrow_v out_o of_o 3_o chap_n 1_o part_n example_n i._o if_o 54_o elnes_n of_o holland_n be_v sell_v for_o 96_o shilling_n for_o how_o many_o 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be_v contain_v in_o these_o theorem_n theor._n as_o the_o difference_n of_o the_o tangent_n of_o the_o arch_n cut_v in_o either_o station_n be_v to_o the_o distance_n between_o the_o station_n so_o be_v the_o tangent_fw-la of_o the_o lesser_a arch_n to_o the_o near_a distance_n from_o the_o tower_n again_o theor._n as_o the_o radius_fw-la be_v to_o the_o tangent_fw-la of_o the_o great_a arch_n so_o be_v the_o near_a distance_n find_v to_o the_o height_n and_o therefore_o because_o according_a to_o 6_o sect_n 1_o chap_n 1_o part_n by_o application_n of_o the_o line_n of_o number_n to_o the_o line_n of_o tangent_n that_o be_v by_o apply_v the_o unite_v line_n of_o the_o staff_n to_o the_o tangent_fw-la in_o the_o transversarie_n if_o the_o arch_n be_v less_o than_o 45_o degr_n but_o if_o the_o arch_n exceed_v 45_o degr_n by_o apply_v the_o say_v unite_v line_n unto_o the_o arch_n itself_o or_o the_o compliment_n thereof_o which_o in_o the_o transversarie_n be_v all_o one_o the_o tangent_fw-la of_o 28°_n 7′_n be_v 5343_o and_o the_o tangent_fw-la of_o 21°_n 58′_n be_v 4033_o who_o difference_n be_v 1310_o the_o proportion_n will_v in_o the_o line_n of_o number_n be_v thus_o first_o 1310_o 76_o 4033_o 234_o wherefore_o 234_o foot_n be_v the_o near_a distance_n second_o radius_fw-la tang_n 28°_n 7′_n 234_o 125_o wherefore_o 125_o foot_n be_v the_o height_n seek_v for_o or_o else_o you_o may_v resolve_v it_o at_o one_o operation_n thus_o theor._n as_o the_o difference_n of_o the_o tangent_n of_o the_o compliment_n of_o the_o arch_n cut_v in_o either_o station_n be_v to_o the_o radius_fw-la so_o be_v the_o distance_n between_o the_o station_n to_o the_o altitude_n because_o according_o as_o be_v before_o show_v the_o tangent_fw-la of_o the_o compliment_n of_o 28°_n 7′_n be_v 18715_o and_o the_o tangent_fw-la of_o the_o compliment_n of_o 21°_n 58′_n be_v 24792_o who_o difference_n be_v 6077._o the_o proportion_n will_v in_o the_o line_n of_o number_n be_v thus_o 6077_o 10000_o 76_o 125_o and_o these_o rule_n may_v be_v also_o apply_v to_o find_v out_o the_o distance_n of_o object_n example_n v._o to_o find_v the_o declination_n of_o the_o sun_n the_o nine_o day_n of_o may._n because_o upon_o the_o nine_o day_n of_o may_n the_o place_n of_o the_o sun_n be_v in_o ♉_o 29_o which_o be_v 59_o degree_n distant_a from_o the_o next_o aequinoctial_a point_n say_v in_o the_o line_n of_o sines_n radius_fw-la sine_fw-la 59°_n sine_fw-la 23°_n 30′_n sine_fw-la 19°_n 59′_n and_o so_o much_o be_v the_o declination_n seek_v for_o if_o the_o distance_n of_o the_o sun_n from_o the_o next_o aequinoctial_a point_n exceed_v not_o
⌊_o 4_o by_o the_o same_o second_o part_n of_o chapt._n i._o so_o that_o the_o difference_n of_o the_o latitude_n be_v degr_n 5_o ⌊_o 24._o and_o the_o fine_a of_o 22°_n 30′_n the_o compliment_n of_o the_o ease_n rumbe_n be_v 38268._o say_v therefore_o again_o by_o quest_n iii_o which_o be_v the_o quantity_n of_o the_o ship_n way_n in_o degree_n qvest._n xi_o by_o the_o way_n of_o the_o ship_n and_o the_o difference_n of_o longitude_n between_o the_o meridian_n of_o any_o two_o place_n whereof_o one_o be_v give_v to_o find_v out_o the_o rumbe_n lead_v from_o one_o place_n to_o the_o other_o &_o qvest._n xii_o by_o the_o way_n of_o the_o ship_n and_o the_o difference_n of_o longitude_n between_o the_o meridian_n of_o any_o two_o place_n whereof_o one_o be_v give_v to_o find_v out_o the_o difference_n of_o their_o latitude_n by_o which_o the_o other_o place_n may_v be_v have_v these_o two_o question_n as_o they_o be_v of_o little_a or_o no_o use_n in_o navigation_n so_o also_o they_o have_v no_o direct_a and_o immediate_a solution_n but_o be_v perform_v after_o the_o manner_n of_o the_o rule_n of_o false_a position_n by_o suppose_v reasonable_o either_o a_o rumbe_n or_o another_o latitude_n and_o then_o according_a to_o quest_n vii_o and_o quest_n viii_o to_o find_v the_o difference_n of_o longitude_n which_o if_o it_o chance_v to_o fall_v out_o to_o be_v the_o same_o that_o be_v give_v in_o the_o question_n you_o have_v your_o desire_n if_o not_o suppose_v the_o second_o time_n and_o last_o by_o compare_v of_o both_o error_n argue_v the_o truth_n these_o two_o question_n be_v not_o so_o material_a that_o i_o shall_v spend_v more_o time_n in_o set_v down_o example_n thereof_o i_o will_v leave_v that_o work_n to_o the_o studious_a practiser_n qvest._n xiii_o if_o it_o be_v require_v to_o know_v the_o distance_n upon_o the_o rumb_n between_o any_o two_o place_n the_o measure_n of_o the_o way_n be_v know_v in_o degree_n you_o may_v multiply_v that_o measure_n of_o the_o way_n in_o degree_n by_o mile_n 66_o ⌊_o 25_o which_o be_v the_o number_n of_o mile_n contain_v in_o one_o just_a degree_n upon_o the_o earth_n as_o be_v before_o assume_v in_o chapt._n four_o and_o thus_o have_v i_o show_v the_o use_n of_o the_o instrument_n in_o the_o solution_n of_o all_o nautical_a question_n which_o thing_n i_o special_o in_o this_o small_a tractate_n aim_v at_o which_o if_o it_o shall_v give_v any_o light_n and_o satisfaction_n to_o such_o as_o be_v studious_a in_o that_o most_o noble_a and_o useful_a art_n i_o have_v my_o desire_n which_o indeed_o only_o be_v that_o the_o society_n of_o mankind_n may_v be_v benefit_v and_o god_n glorify_v by_o every_o poor_a ability_n he_o have_v be_v please_v to_o bestow_v upon_o i_o i_o be_v also_o in_o part_n mind_v to_o have_v annex_v hereunto_o certain_a problem_n how_o by_o reasonable_a conjecture_n the_o course_n of_o the_o ship_n may_v be_v most_o probable_o rectify_v when_o the_o reckon_n thereof_o by_o the_o compass_n and_o way_n estimate_v shall_v be_v find_v to_o disagree_v from_o the_o celestial_a observation_n wherein_o i_o shall_v have_v occasion_n to_o speak_v of_o the_o current_n or_o hide_a motion_n of_o the_o sea_n how_o they_o be_v to_o be_v observe_v and_o how_o to_o be_v consider_v of_o in_o compute_v the_o motion_n of_o the_o ship_n and_o also_o of_o the_o deflexion_n or_o as_o i_o may_v call_v it_o the_o bias_n of_o the_o ship_n bend_v and_o wheel_v itself_o about_o continual_o to_o the_o one_o side_n how_o and_o what_o allowance_n may_v most_o reasonable_o be_v make_v for_o it_o but_o because_o these_o do_v not_o proper_o belong_v to_o the_o instrument_n and_o be_v to_o i_o only_o in_o speculation_n which_o by_o reason_n of_o my_o want_n of_o experience_n in_o nautical_a affair_n i_o can_v so_o well_o direct_a and_o ordain_v for_o practice_n at_o sea_n i_o will_v for_o this_o present_n praetermit_v content_v myself_o with_o what_o have_v be_v already_o deliver_v and_o if_o 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in_o the_o mathematics_n and_o lover_n and_o inquirer_n of_o the_o truth_n i_o doubt_v not_o but_o that_o there_o shall_v in_o convenient_a time_n be_v bring_v to_o light_v many_o necessary_a precept_n which_o may_v tend_v to_o the_o perfect_a of_o navigation_n and_o the_o help_n and_o safety_n of_o such_o who_o vocation_n do_v enforce_v they_o to_o commit_v their_o life_n and_o estate_n in_o the_o vast_a and_o wide_a ocean_n to_o the_o providence_n of_o god_n to_o who_o be_v all_o praise_n honour_n and_o glory_n and_o this_o be_v the_o end_n i_o have_v at_o the_o request_n of_o master_n elias_n allen_n give_v way_n that_o master_n gunter'_v table_n of_o the_o division_n of_o the_o meridian_n line_n after_o mercator_n shall_v be_v here_o insert_v for_o the_o use_n of_o such_o as_o will_v take_v the_o pain_n to_o enter_v into_o a_o unmerary_a calculation_n of_o the_o former_a problem_n the_o other_o table_n of_o natural_a sin_n and_o tangent_n be_v every_o where_o to_o be_v have_v a_o table_n for_o the_o division_n m_o gr_n par_n m_o gr_n par_n m_o g_o par_fw-fr m_o gr_n part_n m_o gr_n part_n 0_o 0_o 0_o 3_o 3_o 001_o 6_o 6_o 011_o 9_o 9_o 037_o 12_o 12_o 088_o  _fw-fr  _fw-fr 100_o  _fw-fr 3_o 101_o  _fw-fr 0_o 111_o  _fw-fr 9_o 138_o  _fw-fr 12_o 190_o  _fw-fr  _fw-fr 200_o  _fw-fr 3_o 201_o  _fw-fr 6_o 212_o  _fw-fr 9_o 239_o  _fw-fr 12_o 293_o  _fw-fr  _fw-fr 300_o  _fw-fr 3_o 301_o  _fw-fr 6_o 312_o  _fw-fr 9_o 341_o  _fw-fr 12_o 395_o  _fw-fr  _fw-fr 400_o  _fw-fr 3_o 402_o  _fw-fr 6_o 413_o  _fw-fr 9_o 442_o  _fw-fr 12_o 497_o  _fw-fr  _fw-fr 501_o  _fw-fr 3_o 502_o  _fw-fr 6_o 514_o  _fw-fr 9_o 543_o  _fw-fr 12_o 600_o  _fw-fr  _fw-fr 600_o  _fw-fr 3_o 602_o  _fw-fr 6_o 614_o  _fw-fr 9_o 645_o  _fw-fr 12_o 702_o  _fw-fr  _fw-fr 700_o  _fw-fr 3_o 702_o  _fw-fr 6_o 715_o  _fw-fr 9_o 746_o  _fw-fr 12_o 805_o  _fw-fr  _fw-fr 800_o  _fw-fr 3_o 803_o  _fw-fr 6_o 816_o  _fw-fr 9_o 848_o  _fw-fr 12_o 907_o  _fw-fr  _fw-fr 900_o  _fw-fr 3_o 903_o  _fw-fr 6_o 916_o  _fw-fr 9_o 949_o  _fw-fr 13_o 010_o 1_o 1_o 000_o 4_o 4_o 003_o 7_o 7_o 017_o 10_o 10_o 051_o 13_o 13_o 112_o  _fw-fr 1_o 100_o  _fw-fr 4_o 103_o  _fw-fr 7_o 118_o  _fw-fr 10_o 152_o  _fw-fr 13_o 215_o  _fw-fr 1_o 200_o  _fw-fr 4_o 204_o  _fw-fr 7_o 219_o  _fw-fr 10_o 254_o  _fw-fr 13_o 318_o  _fw-fr 1_o 300_o  _fw-fr 4_o 304_o  _fw-fr 7_o 319_o  _fw-fr 10_o 355_o  _fw-fr 13_o 421_o  _fw-fr 1_o 400_o  _fw-fr 4_o 404_o  _fw-fr 7_o 420_o  _fw-fr 10_o 457_o  _fw-fr 13_o 523_o  _fw-fr 1_o 500_o  _fw-fr 4_o 504_o  _fw-fr 7_o 521_o  _fw-fr 10_o 559_o  _fw-fr 13_o 626_o  _fw-fr 1_o 600_o  _fw-fr 4_o 605_o  _fw-fr 7_o 622_o  _fw-fr 10_o 661_o  _fw-fr 13_o 729_o  _fw-fr 1_o 700_o  _fw-fr 4_o 705_o  _fw-fr 7_o 723_o  _fw-fr 10_o 762_o  _fw-fr 13_o 832_o  _fw-fr 1_o 800_o  _fw-fr 4_o 805_o  _fw-fr 7_o 824_o  _fw-fr 10_o 864_o  _fw-fr 13_o 935_o  _fw-fr 1_o 900_o  _fw-fr 4_o 906_o  _fw-fr 7_o 925_o  _fw-fr 10_o 966_o  _fw-fr 14_o 038_o 2_o 2_o 000_o 5_o 5_o 006_o 8_o 8_o 026_o 11_o 11_o 068_o 14_o 14_o 141_o  _fw-fr 2_o 100_o  _fw-fr 5_o 106_o  _fw-fr 8_o 127_o  _fw-fr 11_o 170_o  _fw-fr 14_o 244_o  _fw-fr 2_o 200_o  _fw-fr 5_o 207_o  _fw-fr 8_o 228_o  _fw-fr 11_o 272_o  _fw-fr 14_o 347_o  _fw-fr 2_o 300_o  _fw-fr 5_o 307_o  _fw-fr 8_o 329_o  _fw-fr 11_o 374_o  _fw-fr 14_o 450_o  _fw-fr 2_o 400_o  _fw-fr 5_o 408_o  _fw-fr 8_o 430_o  _fw-fr 11_o 476_o  _fw-fr 14_o 553_o  _fw-fr 2_o 500_o  _fw-fr 5_o 508_o  _fw-fr 8_o 531_o  _fw-fr 11_o 578_o  _fw-fr 14_o 656_o  _fw-fr 2_o 601_o  _fw-fr 5_o 609_o  _fw-fr 8_o 632_o  _fw-fr 11_o 680_o  _fw-fr 14_o 760_o  _fw-fr 2_o 701_o  _fw
degree_n 2°_n 30′_n break_v that_o arch_n into_o minute_n or_o decimal_a part_n of_o a_o degree_n and_o by_o the_o line_n of_o sines_n and_o number_n say_v as_o the_o radius_fw-la be_v to_o the_o sine_fw-la of_o 23°_n 30′_n so_o be_v the_o distance_n of_o the_o sun_n from_o the_o next_o aequinoctial_a point_n in_o minute_n or_o decimal_n to_o the_o declination_n in_o minute_n or_o decimal_n as_o if_o the_o declination_n of_o the_o sun_n be_v in_o â™_o 27°_n 45′_n be_v require_v the_o distance_n of_o it_o from_o the_o next_o aequinoctial_a point_n be_v 2°_n 15′_n that_o be_v minute_n 135_o say_v therefore_o rad_n sine_fw-la 23°_n 30′_n 135′_n 53_o ⌊_o 7′_n which_o be_v the_o declination_n of_o the_o sun_n in_o that_o place_n example_n vi_o to_o find_v the_o right_a ascension_n of_o the_o sun_n upon_o the_o nine_o of_o may._n because_o upon_o the_o nine_o of_o may_v the_o sun_n be_v 59_o degr_n distant_a from_o the_o next_o aequinoctial_a point_n say_v in_o the_o line_n of_o sin_n on_o the_o transversarie_n and_o the_o line_n of_o tangent_n on_o the_o staff_n rad_n sin_n compl_a 23°_n 30′_n tan_o 59°_n tan_o 56°_n 46′_n which_o be_v the_o sun_n right_a ascension_n upon_o the_o same_o day_n or_o else_o because_o the_o radius_fw-la be_v the_o mean_a proportional_a between_o the_o tangent_fw-la of_o a_o arch_n and_o its_o compliment_n the_o same_o proportion_n may_v have_v be_v thus_o set_v down_o t_o come_v 59°_n rad_n sin_n come_v 23°_n 30′_n t_o 56°_n 46′_n in_o which_o manner_n of_o proposure_n happen_v only_o when_o there_o be_v in_o the_o proportion_n the_o radius_fw-la and_o two_o tangent_n because_o the_o two_o homogenes_n of_o the_o one_o kind_n be_v both_o extreme_a term_n and_o the_o two_o homogenes_n of_o the_o other_o kind_n be_v both_o middle_a term_n the_o tangent_fw-la be_v to_o be_v turn_v into_o the_o tangent_fw-la of_o the_o compliment_n and_o must_v change_v place_n with_o the_o radius_fw-la as_o by_o compare_v the_o two_o former_a proportion_n do_v plain_o appear_v because_o that_o the_o great_a difficulty_n of_o work_v by_o these_o ruler_n fall_v out_o in_o the_o tangent_n when_o the_o arch_n be_v in_o the_o second_o mediety_n of_o the_o quadrant_n it_o will_v be_v convenient_a to_o set_v down_o some_o case_n wherein_o the_o work_n differ_v from_o the_o ordinary_a manner_n case_n i._o if_o the_o four_o proportional_n be_v all_o tangent_n the_o arch_n of_o two_o of_o the_o term_n give_v exceed_v 45_o deg_fw-la and_o the_o arch_n of_o the_o three_o be_v less_o than_o 45_o degr_n as_o in_o this_o example_n here_o the_o tangent_fw-la of_o 31°_n on_o the_o transversarie_n be_v apply_v to_o the_o tangent_fw-la of_o 56°_n on_o the_o staff_n the_o tangent_fw-la of_o 79°_n on_o the_o staff_n will_v outreach_v the_o radius_fw-la or_o end_n of_o the_o transversarie_n wherefore_o to_o find_v out_o the_o four_o proportional_a mark_v what_o point_n of_o the_o staff_n the_o line_n of_o the_o radius_fw-la on_o the_o transversarie_n do_v touch_v and_o to_o it_o turn_v the_o transversarie_n set_v the_o other_o end_n of_o the_o line_n of_o the_o radius_fw-la and_o so_o shall_v the_o tangent_fw-la 79°_n in_o the_o staff_n give_v you_o tangent_fw-la 64°_n 24′_n in_o the_o transversarie_n case_n ii_o if_o the_o four_o proportional_n be_v all_o tangent_n the_o arch_n of_o the_o three_o term_n give_v exceed_v 45_o deg_fw-la as_o in_o this_o example_n turn_v the_o transversarie_n and_o set_v the_o tangent_fw-la of_o 56°_n therein_o to_o tangent_fw-la 79°_n on_o the_o staff_n and_o because_o the_o radius_fw-la or_o end_n of_o the_o transversarie_n reach_v not_o to_o the_o tangent_fw-la 64°_n 24′_n on_o the_o staff_n to_o find_v out_o the_o four_o proportinal_n mark_v what_o point_n of_o the_o staff_n the_o line_n of_o the_o radius_fw-la of_o the_o transversarie_n do_v touch_v and_o to_o it_o turn_v the_o transversarie_n set_v the_o other_o end_n of_o the_o line_n of_o the_o radius_fw-la and_o so_o the_o tangent_fw-la 64°_n 24′_n in_o the_o staff_n will_v give_v you_o tangent_fw-la 31°_n in_o the_o transversarie_n these_o two_o case_n be_v nothing_o else_o but_o a_o supply_n of_o the_o shortness_n of_o the_o transversarie_n may_v serve_v as_o a_o rule_n and_o direction_n for_o all_o other_o work_n of_o the_o same_o kind_n concern_v the_o manner_n of_o work_v by_o quadrat_n and_o cube_n upon_o the_o line_n of_o number_n and_o of_o duplicate_v and_o triplicate_v proportion_n the_o difference_n of_o a_o quadrat_fw-la from_o a_o quadrat_fw-la be_v double_a the_o difference_n between_o their_o side_n and_o the_o difference_n of_o a_o cube_n from_o a_o cube_n be_v triple_a the_o difference_n between_o their_o side_n example_n two_o chap_n 6_o part_n i._o how_o many_o acre_n of_o wood-land_n measure_v with_o a_o perch_n of_o 18_o foot_n be_v there_o in_o 73_o acre_n of_o champane-land_n measure_v with_o a_o perch_n of_o 16_o ⌊_o 5_o foot_n the_o measure_v give_v 18_o 16_o ⌊_o 5_o be_v reduce_v into_o the_o least_o term_n be_v as_o 12_o to_o 11_o and_o the_o proportion_n be_v reciprocal_a say_v therefore_o q_o 12_o q_o 11_o 73_o 61_o ⌊_o 34_o which_o be_v thus_o wrought_v in_o the_o line_n of_o number_n apply_v 11_o on_o the_o staff_n to_o 12_o on_o the_o transversarie_n then_o shall_v 73_o on_o the_o transversarie_n give_v 67_o on_o the_o staff_n which_o 67_o being_n reckon_v on_o the_o transversarie_n the_o ruler_n stand_v as_o they_o do_v shall_v on_o the_o staff_n give_v 61_o ⌊_o 34_o the_o number_n of_o acre_n in_o wood-land_n measure_n example_n iii_o chap_n 6_o part_z 1._o if_o pound_n 0_o ⌊_o 43_o of_o gunpowder_n suffice_v to_o charge_v a_o gun_n whereof_o the_o concave_a diameter_n be_v yache_n 1_o ⌊_o 5_o how_o many_o pound_n of_o powder_n will_v suffice_v to_o charge_v a_o gun_n who_o concave_a diameter_n be_v ynche_n 7_o the_o capacity_n be_v one_o to_o the_o other_o as_o the_o cube_n of_o the_o diameter_n and_o the_o proportion_n be_v direct_v say_v therefore_o c_o 1_o ⌊_o 5_o c_o 7_o 0_o ⌊_o 43_o 43_o ⌊_o 7_o which_o be_v thus_o wrought_v in_o the_o line_n of_o number_n apply_v 7_o on_o the_o staff_n unto_o 1_o ⌊_o 5_o on_o the_o transversarie_n then_o shall_v 0_o ⌊_o 43_o on_o the_o transversarie_n give_v 2_o ⌊_o 01_o on_o the_o staff_n which_o 2_o ⌊_o 01_o being_n reckon_v on_o the_o transversarie_n the_o ruler_n stand_v as_o they_o do_v shall_v on_o the_o staff_n give_v 9_o ⌊_o 333_o and_o again_o the_o same_o 9_o ⌊_o 333_o be_v reckon_v on_o the_o transversarie_n shall_v on_o the_o staff_n give_v 43_o ⌊_o 7_o the_o quantity_n of_o pound_n of_o powder_n suffise_v example_n in_o 46_o pag._n of_o navigation_n a_o ship_n begin_v her_o course_n at_o the_o latitude_n of_o deg_fw-la 38_o ⌊_o 2_o sail_v upon_o the_o wbn_n rumbe_n unto_o the_o latitude_n of_o deg_fw-la 50_o ⌊_o 5_o how_o many_o degree_n of_o longitude_n have_v it_o vary_v in_o that_o course_n here_o the_o angle_n of_o inclination_n of_o the_o wbn_n rumbe_n with_o the_o meridian_n be_v 78°_n 45′_n the_o tangent_fw-la whereof_o be_v 502734._o and_o by_o the_o double_a division_n on_o the_o four_o side_n of_o the_o staff_n the_o sum_n of_o the_o secant_v for_o the_o latitude_n of_o 50_o ⌊_o 5_o be_v 58_o ⌊_o 691_o and_o the_o sum_n of_o the_o secant_v for_o the_o latitude_n of_o 38_o ⌊_o 2_o be_v 41_o ⌊_o 392_o the_o difference_n of_o which_o be_v 17_o ⌊_o 299_o the_o sum_n of_o the_o secant_v of_o the_o parallel_n between_o those_o two_o latitude_n say_v therefore_o rad_n tang_n 78°_n 45′_n 17_o ⌊_o 299_o 86_o ⌊_o 068_o which_o be_v the_o difference_n of_o longitude_n between_o the_o meridian_n of_o the_o two_o place_n but_o because_o this_o question_n be_v of_o excellent_a and_o very_a frequent_a use_n it_o will_v not_o be_v amiss_o to_o set_v down_o at_o large_a the_o manner_n of_o work_v this_o example_n upon_o the_o ruler_n look_v the_o two_o latitude_n 50_o ⌊_o 5_o and_o 38_o ⌊_o 2_o give_v in_o the_o line_n of_o latitude_n or_o elevation_n of_o the_o pole_n on_o the_o four_o side_n of_o the_o staff_n and_o either_o mark_n what_o number_n each_o of_o they_o show_v in_o the_o line_n of_o equal_a part_n there_o which_o you_o shall_v find_v to_o be_v 58_o ⌊_o 691_o and_o 41_o ⌊_o 392_o the_o difference_n of_o which_o be_v 17_o ⌊_o 299_o as_o be_v before_o say_v or_o else_o more_o easy_o set_v one_o foot_n of_o your_o compass_n on_o one_o of_o the_o latitude_n give_v and_o open_v the_o other_o foot_n to_o the_o other_o latitude_n give_v then_o keep_v that_o aperture_n set_v one_o of_o the_o foot_n in_o the_o begin_n of_o that_o line_n of_o equal_a part_n and_o the_o other_o foot_n shall_v upon_o the_o same_o line_n show_v the_o difference_n of_o secant_v