Selected quad for the lemma: book_n

Word A	Word B	Word C	Word D	Occurrence	Frequency Band	MI	MI Band	Prominent
book_n	account_n	george_n	great_a	42	3	2.1254	3	false

Text snippets containing the quad

ID	Title	Author	Corrected Date of Publication (TCP Date of Publication)	STC	Words	Pages
A74866	The geometrical sea-man: or, the art of navigation performed by geometry. Shewing how all the three kinds of sayling, viz. by the plain chart, by Mercators chart, by a great circle. may be easily and exactly performed by a plain ruler and a pair of compasses, without arithmeticall calculation. / By Henry Phillippes.	Phillippes, Henry, d. 1677?	1652 (1652)	Thomason E652_10; ESTC R205892	65,784	93

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for_o any_o to_o go_v about_o to_o teach_v seaman_n in_o their_o art_n especial_o in_o these_o time_n wherein_o there_o be_v never_o more_o nor_o more_o skilful_a seaman_n but_o in_o answer_n hereto_o take_v notice_n of_o these_o consideration_n first_o that_o many_o book_n of_o this_o subject_n though_o they_o be_v plain_a and_o easy_a for_o all_o seaman_n to_o understand_v yet_o they_o be_v not_o so_o exact_a and_o perfect_a in_o all_o thing_n as_o they_o ought_v to_o be_v second_o that_o though_o mr._n wright_n mr._n gunter_n and_o mr._n norwood_n have_v very_o full_o show_v the_o error_n of_o the_o foresay_a book_n and_o have_v very_o perfect_o reform_v they_o yet_o their_o book_n be_v not_o plain_a and_o useful_a for_o all_o man_n because_o they_o require_v much_o knowledge_n in_o arithmetic_n three_o though_o there_o be_v many_o skilful_a seaman_n which_o be_v able_a to_o make_v use_n of_o these_o author_n yet_o there_o be_v many_o other_o who_o will_v willing_o attain_v to_o a_o 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ruler_n and_o a_o pair_n of_o compass_n he_o may_v quick_o recover_v his_o loss_n and_o fall_v to_o his_o work_n as_o before_o upon_o these_o consideration_n i_o have_v adventure_v to_o publish_v this_o little_a book_n wherein_o i_o have_v brief_o and_o plain_o lay_v down_o the_o whole_a art_n as_o to_o the_o geometrical_a part_n thereof_o begin_v at_o the_o first_o principle_n and_o proceed_v by_o degree_n to_o the_o high_a conclusion_n i_o have_v use_v the_o more_o figure_n to_o make_v every_o thing_n the_o plain_a and_o i_o have_v provide_v such_o figure_n as_o serve_v not_o only_o for_o demonstration_n of_o the_o thing_n but_o may_v serve_v for_o instrument_n to_o work_v upon_o or_o you_o may_v easy_o by_o the_o direction_n give_v make_v the_o like_a to_o conclude_v i_o have_v study_v to_o make_v those_o thing_n plain_a which_o have_v at_o any_o time_n most_o trouble_v myself_o to_o understand_v so_o that_o i_o question_v not_o but_o that_o any_o one_o that_o be_v industrious_a may_v here_o of_o easy_o and_o speedy_o attain_v such_o a_o competent_a measure_n by_o knowledge_n in_o this_o art_n that_o by_o god_n blessing_n upon_o his_o study_n and_o labour_n therein_o he_o may_v obtain_v much_o credit_n and_o profit_n which_o be_v all_o the_o desire_n of_o your_o well_o mean_v friend_n henry_n phillippe_v the_o content_n and_o order_n of_o the_o whole_a book_n in_o the_o two_o first_o chapter_n be_v show_v how_o to_o perform_v some_o geometrical_a principle_n which_o be_v necessary_a to_o be_v know_v because_o most_o of_o the_o follow_a work_n be_v do_v thereby_o the_o three_o chapter_n show_v the_o make_n and_o use_n of_o the_o plain_a chart_n be_v the_o common_a way_n of_o sail_v the_o four_o chapter_n show_v the_o make_n and_o use_n of_o the_o true_a sea-chart_n be_v in_o many_o respect_v more_o perfect_a than_o the_o former_a the_o five_o chapter_n show_v the_o way_n of_o sail_v by_o a_o great_a circle_n be_v the_o most_o exact_a and_o best_a way_n of_o 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doctrine_n of_o triangle_n with_o a_o canon_n of_o natural_a sin_n tangent_n and_o secant_v norwood_n doctrine_n of_o triangle_n with_o logarithme_n norwood_n epitome_n apply_v to_o plain_a and_o mercator_n sail_v norwoods_n seaman_n practice_n the_o navigator_n by_o captain_n charles_n saltonstall_n 4o._o dary_n description_n and_o use_n of_o a_o universal_a quadrant_n 8o._o errata_fw-la page_n 16._o a_o be_v want_v in_o the_o figure_n page_n 33_o line_n last_o read_v a_o f_o page_n 56_o line_n 25._o for_o 28_o read_v 58_o page_n 62_o 67_o 69._o some_o word_n double_v may_v b●_n leave_v out_o page_n 70_o line_n last_o read_v thereby_o know_v whether_o etc._n etc._n page_n 80._o last_o line_n of_o the_o table_n for_o 22_o deg_fw-la read_v 33._o page_n 88_o in_o the_o table_n col._n 3._o line_n 3._o for_o 1_o 80_o read_v

place_n but_o it_o be_v only_o their_o distance_n in_o the_o rumbe_n so_o that_o if_o the_o two_o place_n be_v not_o both_o under_o the_o equinoctial_a or_o both_o in_o one_o meridian_n than_o there_o be_v somewhat_o a_o near_a cut_n between_o the_o two_o place_n than_o the_o rumbe_n point_v out_o which_o sometime_o especial_o near_o the_o pole_n be_v very_o considerable_a but_o this_o be_v not_o all_o the_o benefit_n which_o come_v by_o this_o way_n of_o sail_v way_n second_o it_o be_v the_o most_o convenient_a way_n but_o many_o time_n when_o your_o course_n lie_v near_o the_o east_n and_o west_n this_o way_n be_v far_o more_o convenient_a for_o if_o you_o shall_v sail_v full_a east_n or_o west_n you_o must_v altogether_o depend_v upon_o your_o dead_a reckon_n have_v no_o way_n to_o help_v yourself_o by_o the_o observation_n of_o the_o latitude_n but_o now_o if_o you_o sail_v by_o the_o arch_n of_o a_o great_a circle_n between_v two_o such_o place_n you_o not_o only_o go_v the_o near_a way_n but_o also_o may_v alter_v your_o latitude_n many_o degree_n whereby_o your_o account_n may_v be_v often_o rectify_v less_o rectify_v so_o in_o the_o example_n of_o the_o summer_n land_n the_o distance_n by_o the_o rumbe_n be_v 3299_o mile_n the_o distance_n by_o the_o arch_n be_v 3204_o mile_n that_o be_v 95_o mile_n less_o as_o for_o example_n suppose_v you_o be_v to_o sail_v from_o spain_n to_o virginia_n both_o which_o lie_v near_o the_o parallel_n of_o 40_o degree_n and_o suppose_v the_o difference_n of_o longitude_n between_v two_o such_o place_n in_o the_o parallel_n of_o 40_o to_o be_v 70_o degree_n the_o distance_n of_o these_o two_o place_n measure_v in_o the_o parallel_n of_o 40_o which_o be_v the_o rumbe_n that_o lead_v between_v the_o two_o place_n be_v east_n and_o west_n be_v 53_o degree_n 62_o 100_o but_o their_o distance_n in_o the_o arch_n of_o a_o great_a circle_n be_v but_o 52_o degree_n 08_o 100_o that_o be_v 1_o degree_n 54_o 100_o less_o but_o this_o as_o say_v be_v but_o the_o least_o part_n of_o the_o benefit_n that_o come_v by_o this_o way_n of_o sail_v the_o chief_a be_v this_o that_o in_o sail_v between_o two_o such_o place_n by_o the_o arch_n of_o a_o great_a circle_n you_o will_v first_o in_o the_o one_o half_a of_o the_o way_n raise_v the_o pole_n 5_o degree_n 69_o 100_o and_o then_o in_o the_o other_o half_o depress_v the_o pole_n as_o much_o so_o that_o in_o your_o whole_a voyage_n you_o will_v alter_v the_o latitude_n 11_o degree_n 38_o ●0_n &_o so_o by_o the_o observation_n of_o the_o latitude_n you_o may_v rectify_v your_o dead_a reckon_n very_o well_o which_o you_o can_v do_v sail_v in_o the_o parallel_n thus_o you_o see_v this_o way_n of_o sail_v be_v not_o only_o the_o near_a but_o the_o best_a way_n now_o concern_v this_o way_n of_o sail_v there_o have_v be_v but_o little_o write_v by_o any_o subject_n few_o have_v write_v of_o this_o subject_n and_o therefore_o i_o shall_v be_v the_o more_o large_a in_o this_o captain_n saltonstall_n in_o his_o book_n call_v the_o navigator_n have_v say_v somewhat_o how_o to_o direct_v a_o parallel_n course_n but_o for_o any_o other_o course_n he_o have_v say_v nothing_o and_o what_o he_o show_v be_v to_o be_v perform_v by_o arithmetic_n master_n norwood_n in_o his_o book_n of_o trigonometry_n have_v add_v as_o a_o appendix_n many_o problem_n of_o sail_v by_o the_o arch_n of_o a_o great_a circle_n whereby_o those_o who_o both_o can_v and_o will_v take_v the_o pain_n may_v by_o calculation_n find_v out_o all_o thing_n necessary_a in_o this_o way_n of_o sail_v but_o those_o way_n of_o calculation_n as_o they_o be_v very_o difficult_a to_o the_o unlearned_a so_o they_o be_v tedious_a to_o those_o that_o have_v the_o best_a skill_n and_o therefore_o i_o hope_v it_o will_v be_v well_o accept_v if_o i_o here_o show_v you_o how_o the_o same_o may_v be_v perform_v by_o geometry_n both_o plain_o and_o speedy_o and_o yet_o with_o as_o much_o exactness_n as_o need_v 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the_o arch_n of_o a_o great_a circle_n which_o be_v always_o the_o near_a distance_n i_o may_v show_v you_o how_o to_o perform_v this_o in_o the_o first_o place_n but_o i_o here_o pass_v it_o by_o for_o these_o reason_n first_o because_o master_n wright_n master_n blundevile_n and_o captain_n saltonstall_n have_v all_o of_o they_o demonstrate_v it_o in_o their_o book_n already_o and_o second_o because_o the_o chief_a benefit_n in_o this_o way_n of_o sail_v do_v not_o so_o much_o consist_v in_o save_v of_o a_o little_a way_n as_o in_o sail_v the_o most_o convenient_a way_n that_o be_v so_o as_o you_o may_v alter_v your_o latitude_n most_o and_o so_o your_o reckon_n may_v be_v the_o more_o certain_a for_o though_o near_o the_o pole_n the_o difference_n of_o the_o distance_n of_o two_o place_n in_o the_o arch_n of_o a_o great_a circle_n and_o in_o their_o rumbe_n may_v be_v considerable_a yet_o in_o most_o voyage_n it_o be_v not_o as_o in_o the_o forename_a example_n of_o two_o place_n 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of_o these_o proposition_n which_o be_v to_o know_v the_o angle_n of_o position_n from_o the_o one_o place_n to_o the_o other_o operation_n the_o angle_n of_o position_n be_v needless_a in_o this_o operation_n though_o this_o must_v be_v find_v out_o in_o calculation_n before_o you_o can_v proceed_v any_o further_a yet_o in_o this_o work_n it_o be_v more_o needless_a than_o the_o former_a proposition_n and_o therefore_o may_v be_v very_o well_o omit_v but_o now_o for_o the_o three_o proposition_n pass_v to_o find_v out_o the_o longitude_n and_o latitude_n by_o which_o the_o great_a circle_n do_v pass_v which_o be_v the_o find_v out_o by_o what_o longitude_n and_o latitude_n the_o great_a circle_n must_v pass_v between_o the_o two_o place_n this_o be_v the_o very_a end_n aim_v at_o in_o all_o the_o work_n may_v be_v thus_o attain_v first_o draw_v the_o follow_a quadrant_n a_o d_o b_o and_o divide_v it_o into_o degree_n then_o consider_v of_o what_o length_n your_o tangent_fw-la line_n 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09_o 335_o 0_o 45_o 42_o 70_o 6_o from_o g_o to_o h_z east_n 2_o 09_o 338_o 0_o 45_o 42_o 70_o 7_o from_o h_z to_z i_z ½_n 4_o 93_o 345_o 0_o 45_o 13_o 22_o 8_o from_o i_o to_o k_n e_o by_o s_n 7_o 26_o 355_o 0_o 43_o 48_o 80_o 9_o from_o k_n to_o l_o ½_n 7_o 69_o 005_o 0_o 41_o 34_o 57_o 10_o from_o l_o to_o p_o e_o s_o e_o 4_o 09_o 010_o 0_o 40_o 0_o 0_o the_o sum_n  _fw-fr 52_o 12_o  _fw-fr  _fw-fr you_o must_v not_o think_v to_o find_v these_o course_n and_o distance_n which_o i_o have_v set_v down_o in_o this_o table_n chart._n how_o to_o work_v upon_o a_o large_a chart._n can_v be_v so_o exact_o find_v out_o by_o the_o former_a general_a chart_n which_o be_v draw_v by_o i_o lesser_a meridian_n line_n but_o if_o you_o draw_v two_o or_o three_o blank_a charts_n by_o the_o large_a meridian_n line_n in_o two_o or_o three_o sheet_n of_o paper_n you_o may_v then_o find_v they_o out_o easy_o and_o as_o exact_o as_o need_v be_v in_o these_o several_a charts_n you_o may_v set_v down_o 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to_o do_v now_o in_o this_o follow_a chart_n be_v fit_v to_o the_o latitude_n you_o must_v sail_v under_o first_o set_v down_o your_o first_o place_n n_n according_a to_o the_o latitude_n thereof_o which_o be_v 40_o degree_n then_o prick_v down_o the_o latitude_n of_o the_o great_a circle_n at_o the_o first_o five_o degree_n of_o longitude_n which_o be_v 41_o degree_n 34_o minute_n at_o a_o then_o lay_v your_o ruler_n from_o n_n to_o a_o prick_v out_o the_o line_n n_o a_o which_o will_v represent_v the_o arch_n of_o the_o circle_n from_o n_n to_o a._n then_o the_o latitude_n of_o the_o circle_n for_o the_o next_o 5_o degree_n be_v 42_o degree_n 53_o minute_n or_o 88_o 100_o part_n this_o must_v be_v set_v down_o at_o r_n and_o then_o draw_v the_o prick_a line_n from_o a_o to_o r_n so_o you_o have_v the_o arch_n of_o the_o circle_n from_o n_n to_o r._n now_o if_o you_o will_v know_v what_o course_n you_o must_v steer_v by_o your_o scale_n of_o rumbe_n you_o shall_v find_v that_o from_o 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the_o shortness_n of_o the_o chart_n i_o be_o force_v to_o break_v off_o the_o circle_n &_o the_o rumbe-line_n &_o set_v they_o in_o the_o first_o meridian_n at_o c_o then_z 5_o deg_fw-la from_o the_o meridian_n at_o c_o that_o be_v 20_o deg_fw-la from_o n_n i_o prick_v down_o the_o latitude_n of_o the_o arch_n which_o be_v 44_o deg_fw-la 42_o minute_n or_o 70_o part_n at_o 20_o and_o five_o degree_n from_o this_o 20_o i_o prick_v down_o the_o latitude_n of_o the_o arch_n in_o that_o longitude_n which_o be_v 45_o degree_n 15_o minute_n or_o 25_o part_n at_z c_o then_z i_o draw_v the_o prick_v line_n from_o c_o to_o 20_o and_o from_o 20_o to_o e_o which_o represent_v the_o arch_n and_o i_o likewise_o draw_v the_o rumble_a line_n n_n by_o e_z from_o c_o to_o e_z which_o do_v very_o near_o concur_v with_o the_o arch_n at_o e_o and_o the_o distance_n from_o c_o to_o e_z be_v 7_o degree_n and_o almost_o ●_o 10_o or_o as_o in_o the_o the_o table_n 7_o degree_n 26_o 100_o here_o again_o by_o reason_n of_o the_o shortness_n of_o the_o chart_n i_o be_o force_v to_o break_v off_o again_o and_o set_v the_o latitude_n of_o this_o point_n e_o in_o the_o first_o meridian_n at_o e_o 5_o degree_n from_o this_o i_o set_v down_o the_o latitude_n of_o the_o arch_n of_o the_o great_a circle_n belong_v to_o that_o longitude_n which_o be_v 45_o degree_n 35_o minute_n or_o 58_o part_n at_o 30_o this_o meridian_n be_v 30_o degree_n distant_a from_o the_o first_o place_n at_o n._n and_o then_o 5_o degree_n from_o this_o which_o be_v 35_o degree_n from_o the_o first_o meridian_n at_o n_n i_o set_v down_o the_o latitude_n of_o the_o arch_n which_o be_v 45_o degree_n 41_o minute_n or_o 68_o part_n at_o g_o then_z i_o draw_v the_o prick_v line_n from_o e_o to_o 30_o and_o from_o 30_o to_o g_o this_o represent_v the_o arch_n now_o at_o the_o point_n e_o i_o alter_v my_o course_n half_o a_o point_n more_o to_o the_o eastward_o therefore_o by_o the_o scale_n of_o rumbe_n set_v off_o 7_o point_n and_o a_o half_a from_o the_o point_n e_o i_o draw_v the_o line_n e_o f_o which_o be_v n_n by_o e_z half_z a_o point_n to_o the_o east_n and_o have_v sail_v upon_o this_o point_n from_o e_z to_z f_o the_o latitude_n will_v be_v 45_o degree_n 42_o minute_n or_o 70_o part_n and_o the_o difference_n of_o longitude_n from_o e_z be_v 7_o degree_n and_o the_o distance_n from_o e_z be_v 4_o degree_n 9_o 10_o but_o the_o difference_n of_o longitude_n from_o the_o first_o place_n at_o n_n be_v 32_o degree_n last_o because_o now_o i_o be_o as_o far_o to_o the_o northward_o as_o the_o arch_n of_o the_o great_a circle_n will_v allow_v i_o i_o here_o at_o f_o alter_v my_o course_n half_o a_o point_n more_o and_o so_o sail_v from_o f_o to_o g_o full_a east_n so_o i_o have_v alter_v my_o longitude_n in_o all_o 35_o degree_n and_o be_o come_v just_o one_o half_a of_o the_o voyage_n now_o to_o perform_v the_o other_o half_o you_o must_v continue_v to_o do_v as_o you_o do_v before_o first_o prick_v out_o the_o great_a circle_n and_o then_o find_v out_o the_o rumbe_n you_o must_v sail_v upon_o from_o one_o point_n to_o another_o which_o you_o may_v alter_v now_o and_o then_o half_a a_o point_n and_o so_o you_o may_v lay_v the_o pole_n in_o the_o same_o order_n and_o proportion_n that_o before_o you_o raise_v it_o as_o you_o may_v see_v by_o the_o table_n before_o page_z 61._o chap._n vi_o show_v