Selected quad for the lemma: book_n

Word A	Word B	Word C	Word D	Occurrence	Frequency Band	MI	MI Band	Prominent
book_n	find_v	know_v	write_v	2,650	5	4.9547	4	true

Text snippets containing the quad

ID	Title	Author	Corrected Date of Publication (TCP Date of Publication)	STC	Words	Pages
A26045	Speculum nauticum a looking glasse for sea-men : wherein they may behold a small instrument called the plain scale whereby all questions nautical and propositions astronomical are very easily and demonstratively wrought ... / by Iohn Aspley.	Aspley, John.	1647 (1647)	Wing A4011; ESTC R27669	26,980	68

speculum_fw-la nauticum_fw-la a_o look_a glass_n for_o seaman_n wherein_o they_o may_v behold_v a_o small_a instrument_n call_v the_o plain_a scale_n whereby_o all_o question_n nautical_a and_o proposition_n astronomical_a be_v very_o easy_o and_o demonstrative_o wrought_v publish_a for_o the_o use_n and_o benefit_n of_o such_o as_o will_v make_v good_a use_n of_o it_o by_o john_n aspley_n student_n in_o physic_n and_o practitioner_n of_o the_o mathematics_n in_o the_o city_n of_o london_n the_o four_o edition_n correct_v london_n print_v by_o thomas_n harper_n and_o be_v to_o be_v sell_v by_o george_n hurlock_n at_o his_o shop_n at_o saint_n magnus_fw-la corner_n 1647._o to_o the_o worshipful_a the_o master_n warden_n and_o assistant_n of_o the_o trinity_n house_n in_o deptford_n strand_n albeit_o right_o worshipful_a there_o be_v more_o essential_a nature_n contain_v in_o each_o part_n both_o of_o this_o macrocosm_n and_o microcosm_n exist_v in_o their_o absolute_a be_v than_o the_o understanding_n of_o man_n can_v full_o apprehend_v yet_o i_o doubt_v not_o but_o those_o which_o may_v with_o labour_n and_o diligence_n be_v know_v and_o those_o also_o which_o of_o ingenious_a spirit_n and_o notable_a wit_n have_v be_v invent_v and_o by_o they_o artificial_o and_o methodical_o teach_v tend_v not_o only_o to_o manifest_a profit_n in_o the_o commonwealth_n but_o also_o to_o the_o great_a increase_n and_o set_v forth_o of_o god_n divine_a power_n wisdom_n goodness_n providence_n and_o increase_v of_o virtue_n ought_v of_o all_o man_n to_o be_v embrace_v and_o especial_o of_o those_o which_o have_v any_o government_n public_a charge_n or_o authority_n in_o the_o common_a wealth_n in_o regard_n that_o the_o near_a man_n approach_v to_o such_o excellent_a virtue_n the_o near_a without_o doubt_n do_v they_o come_v unto_o goodness_n to_o felicity_n and_o to_o god_n himself_o hence_o say_v the_o prophet_n unto_o man_n seat_v in_o eminent_a place_n dixi_fw-la vos_fw-la dii_fw-la estis_fw-la so_o that_o those_o which_o either_o through_o arrogance_n or_o ignorance_n deride_v and_o contemn_v those_o art_n which_o with_o great_a dexterity_n care_n and_o industry_n have_v be_v find_v out_o and_o leave_v unto_o we_o by_o the_o love_n of_o our_o predecessor_n do_v both_o offer_v contempt_n unto_o the_o goodness_n of_o god_n and_o do_v much_o endamage_v and_o annoy_v all_o human_a society_n so_o on_o the_o contrary_a part_n they_o that_o do_v by_o all_o mean_n further_o those_o so_o profitable_a discipline_n do_v both_o render_v true_a honour_n unto_o god_n and_o do_v great_o advance_v the_o good_a of_o the_o commonwealth_n wherein_o they_o live_v now_o in_o regard_n there_o be_v no_o study_n divinity_n except_v wherein_o the_o wit_n of_o man_n may_v be_v better_o employ_v then_o in_o the_o motion_n of_o the_o star_n and_o in_o the_o knowledge_n of_o their_o situation_n place_n and_o be_v together_o with_o their_o wonderful_a effect_n in_o regard_n whereof_o i_o be_v incite_v to_o employ_v some_o of_o my_o time_n in_o the_o study_n thereof_o and_o at_o last_o consider_v that_o of_o the_o orator_n that_o non_fw-la solum_fw-la nobis_fw-la nati_fw-la sumus_fw-la etc._n etc._n we_o be_v not_o bear_v for_o ourselves_o only_o but_o our_o friend_n challenge_v a_o part_n in_o we_o and_o our_o country_n come_v in_o for_o a_o share_n especial_o those_o honour_n and_o grace_n of_o our_o country_n those_o that_o traffic_n in_o the_o deep_a and_o have_v their_o business_n in_o the_o great_a water_n those_o that_o be_v unto_o this_o island_n as_o a_o wooden_a wall_n the_o sea-chariot_n and_o the_o horse_n of_o england_n these_o i_o say_v may_v claim_v just_o to_o the_o fruit_n of_o our_o labour_n whatsoever_o they_o be_v which_o have_v not_o altogether_o be_v abhorrent_n from_o the_o mathematical_a study_n consider_v this_o i_o can_v do_v no_o less_o than_o bring_v in_o this_o my_o mite_n into_o their_o treasury_n and_o si_fw-la quid_fw-la ars_fw-la mea_fw-la efficere_fw-la possit_fw-la if_o my_o skill_n can_v stand_v they_o in_o any_o stead_n to_o further_a that_o so_o much_o deserve_a science_n of_o navigation_n accept_v therefore_o i_o beseech_v you_o this_o young_a son_n of_o my_o study_n this_o little_a handful_n of_o paper_n wherein_o be_v contain_v not_o anacreon_n wanton_a ode_n or_o ovid_n lascivious_a elegy_n the_o incendiary_n of_o lust_n but_o a_o pure_a spark_n of_o chaste_a vestalfire_n a_o small_a part_n of_o the_o mathematics_n dedicate_v from_o a_o serviceable_a affection_n to_o your_o worship_n that_o under_o the_o shield_n of_o your_o protection_n it_o may_v live_v secure_a from_o the_o desperate_a stab_n of_o of_o critical_a person_n and_o envious_a spirit_n who_o not_o only_o like_o snarl_a satyr_n deride_v and_o contemn_v those_o so_o liberal_a science_n but_o swallow_v up_o with_o despite_n if_o it_o be_v possible_a the_o professor_n thereof_o for_o rescue_v from_o such_o malignant_a spirit_n my_o book_n fly_v to_o the_o shadow_n of_o your_o favour_n which_o if_o you_o shall_v afford_v unto_o it_o my_o labour_n shall_v be_v all_o sacrifice_v unto_o you_o and_o i_o rest_v your_o worship_n bind_a servant_n john_n aspley_n to_o the_o reader_n have_v ever_o since_o i_o come_v unto_o understanding_n courteous_a reader_n practise_v myself_o in_o the_o mathematical_a study_n and_o have_v attain_v unto_o my_o desire_n therein_o i_o be_o willing_a to_o impart_v some_o of_o that_o knowledge_n which_o god_n have_v bestow_v upon_o i_o unto_o the_o open_a view_n of_o the_o world_n for_o the_o manifestation_n whereof_o i_o have_v free_o give_v unto_o thou_o this_o small_a book_n be_v the_o first_o fruit_n of_o my_o labour_n contain_v such_o astronomical_a and_o nautical_a question_n as_o be_v wrought_v by_o the_o plain_a scale_n which_o if_o i_o shall_v find_v to_o receive_v as_o free_a acceptance_n from_o thou_o expect_v more_o of_o my_o labour_n in_o the_o same_o kind_n and_o until_o then_o irest_o thy_o friend_n in_o affection_n john_n aspley_n speculum_fw-la nauticum_fw-la or_o the_o seaman_n glass_n the_o first_o book_n chap._n i._n be_v intend_v in_o this_o treatise_n of_o the_o plain_a scale_n to_o declare_v the_o manner_n of_o projection_n of_o the_o sphere_n in_fw-la plano_fw-la i_o have_v think_v fit_v first_o to_o show_v unto_o you_o some_o term_n of_o geometry_n which_o be_v necessary_a for_o the_o unlearned_a to_o know_v for_o who_o sake_n chief_o i_o write_v this_o treatise_n before_o they_o enter_v into_o the_o definition_n of_o the_o sphere_n first_o therefore_o i_o intend_v to_o relate_v unto_o you_o what_o a_o point_n or_o prick_n be_v and_o afterward_o a_o line_n both_o right_a and_o crooked_a and_o such_o sort_n thereof_o as_o be_v appertinent_a unto_o the_o operation_n and_o use_n of_o this_o scale_n punctum_fw-la or_o a_o point_n be_v the_o beginning_n of_o thing_n or_o a_o prick_n suppose_v indivisible_a void_a of_o length_n breadth_n and_o depth_n as_o in_o the_o figure_n follow_v be_v note_v by_o the_o point_n or_o prick_v a._o linea_fw-la or_o a_o line_n be_v a_o suppose_a length_n or_o a_o thing_n extend_v itself_o in_o length_n not_o have_v breadth_n nor_o thickness_n as_o be_v set_v forth_o unto_o you_o by_o the_o line_n b_o ad_fw-la dem_n 8._o parallela_fw-la or_o a_o parallel_n line_n be_v a_o line_n draw_v by_o the_o side_n of_o another_o line_n in_o such_o sort_n that_o they_o may_v be_v equidistant_a in_o all_o place_n and_o of_o such_o parallel_n two_o only_a belong_v unto_o this_o work_n of_o the_o plain_a scale_n that_o be_v to_o say_v the_o right_n line_a parallel_n and_o the_o circular_a parallel_n right_o line_v parallel_n be_v two_o right_a line_n equidistant_a one_o from_o another_o which_o be_v draw_v forth_o infinite_o will_v never_o touch_v or_o meet_v one_o another_o as_o you_o may_v see_v in_o the_o figure_n where_o the_o line_n h._n i._n be_v parallel_n unto_o the_o line_n c_o e._n and_o the_o line_n g._n f._n be_v parallel_n unto_o they_o both_o a_o circular_a parallel_n be_v a_o circle_n draw_v either_o within_o or_o without_o another_o circle_n upon_o the_o same_o centre_n as_o you_o may_v plain_o see_v by_o the_o two_o circle_n b._n c._n d._n e._n and_o x._o v._n y._n w._n these_o circle_n be_v both_o draw_v upon_o the_o centre_n a._n and_o therefore_o be_v parallel_n the_o one_o unto_o the_o other_o there_o be_v another_o kind_n of_o parallel_n also_o which_o be_v call_v a_o serpentine_a parallel_n but_o because_o it_o be_v not_o belong_v unto_o the_o use_n of_o this_o scale_n i_o will_v omit_v it_o and_o so_o proceed_v unto_o the_o rest_n perpendiculum_fw-la or_o perpendicular_a be_v a_o line_n raise_v from_o or_o let_v fall_v upon_o another_o line_n make_v equal_a angle_n on_o both_o side_n as_o you_o may_v see_v declare_v in_o the_o figure_n wherein_o the_o line_n a._n c._n be_v perpendicular_a unto_o the_o line_n b._n a._n d._n make_v equal_a

north_n and_o by_o east_n and_o 41_o minute_n eastward_o of_o the_o first_o ship_n take_v 11_o degree_n 56_o minute_n from_o your_o scale_n of_o cord_n and_o place_v they_o from_o k_o unto_o i_o upon_o the_o quadrant_n kih_o then_o from_o f_o draw_v the_o line_n if_o and_o upon_o the_o line_n fi_o place_n the_o distance_n that_o you_o must_v bring_v the_o second_o ship_n from_o the_o first_o which_o be_v 40_o league_n and_o two_o mile_n from_o f_o unto_o m_o so_o be_v m_o the_o place_n of_o your_o second_o ship_n then_o from_o m_o draw_v the_o line_n ml_o parallel_n unto_o fg_o cut_v the_o line_n agl_o in_o l_o then_o draw_v the_o line_n ma_o cut_v the_o quadrant_n bde_o in_o d_o so_o shall_v the_o arch_n de_o be_v the_o course_n that_o the_o second_o ship_n must_v run_v to_o bring_v herself_o 40_o league_n and_o two_o mile_n north_n and_o by_o east_n and_o 41_o minute_n east_n of_o the_o first_o ship_n then_o to_o know_v what_o you_o have_v alter_v the_o latitude_n first_o take_v the_o distance_n la_fw-fr and_o apply_v it_o unto_o the_o scale_n of_o equal_a part_n and_o you_o shall_v find_v it_o to_o be_v 80_o league_n which_o be_v just_a 4_o degree_n which_o you_o have_v alter_v your_o latitude_n or_o pole_n elevation_n which_o 4_o degree_n add_v unto_o the_o latitude_n you_o depart_v from_o it_o make_v 51_o degree_n 56_o minute_n for_o the_o latitude_n that_o your_o second_o ship_n be_v in_o then_o take_v the_o distance_n lm_o and_o apply_v it_o to_o the_o scale_n it_o give_v 60_o league_n then_o open_v your_o compass_n unto_o the_o distance_n of_o the_o middle_a latitude_n which_o be_v 39_o degree_n 51_o minute_n of_o the_o cord_n and_o apply_v it_o unto_o the_o first_o line_n of_o longitude_n and_o it_o give_v 12_o league_n and_o two_o mile_n and_o a_o half_a to_o alter_v one_o degree_n of_o longitude_n in_o that_o parallel_n then_o set_v one_o foot_n of_o your_o compass_n in_o 12_o league_n two_o mile_n and_o a_o half_n in_o the_o second_o line_n of_o longitude_n extend_v the_o other_o foot_n unto_o one_o degree_n and_o with_o the_o same_o distance_n upon_o the_o same_o line_n set_v one_o foot_n of_o the_o compass_n in_o 60_o league_n the_o league_n that_o you_o be_v from_o the_o meridian_n and_o the_o other_o foot_n will_v extend_v unto_o four_o degree_n forty_o minute_n which_o be_v the_o difference_n of_o the_o longitude_n chap._n xvi_o to_o find_v by_o demonstration_n how_o many_o mile_n or_o minute_n of_o any_o parallel_n do_v answer_n unto_o one_o degree_n of_o the_o equinoctial_a let_v the_o latitude_n give_v be_v 58_o degree_n 54_o minute_n therefore_o have_v draw_v the_o quadrant_n abc_o from_o b_o upon_o the_o cord_n bec_o set_v the_o latitude_n of_o the_o place_n 58_o degree_n 54_o minute_n unto_o the_o point_n d._n then_o from_o the_o point_n d_o draw_v the_o line_n df_o parallel_n unto_o ba_o so_o shall_v the_o length_n of_o the_o line_n df_o be_v the_o number_n of_o mile_n which_o answer_v unto_o one_o degree_n of_o longitude_n in_o the_o parallel_n of_o 58_o degree_n 5_o minute_n which_o be_v dem_n 5_o apply_v unto_o your_o scale_n of_o equal_a part_n give_v thirty_o one_o mile_n so_o likewise_o the_o ark_n be_v be_v the_o latitude_n of_o 52_o degree_n end_v in_o the_o point_n e_o give_v the_o line_n eg_o for_o the_o mile_n that_o answer_v unto_o one_o degree_n of_o longitude_n in_o the_o parallel_n of_o 52_o degree_n be_v find_v by_o the_o scale_n to_o be_v 36_o mile_n and_o 56_o second_o or_o 56_o 60_o of_o a_o mile_n the_o second_o book_n of_o the_o plain_a scale_n wherein_o be_v declare_v the_o definition_n of_o the_o sphere_n a_o description_n of_o the_o six_o great_a circle_n and_o also_o of_o the_o four_o lesser_a circle_n and_o last_o of_o all_o certain_a question_n astronomical_a perform_v by_o the_o say_a scale_n chap._n i._n de_fw-la sphaera_fw-la the_o figure_n of_o the_o plain_a scale_n aspheare_n according_a to_o the_o description_n of_o theodosius_n be_v a_o certain_a solid_a superficies_n in_o who_o middle_a be_v a_o point_n from_o which_o all_o line_n draw_v unto_o the_o circumference_n be_v equal_a which_o point_n be_v call_v the_o centre_n of_o the_o sphere_n by_o which_o centre_n a_o right_a line_n be_v draw_v and_o extend_v himself_o on_o either_o side_n unto_o that_o part_n of_o the_o circumference_n whereupon_o the_o sphere_n be_v turn_v be_v call_v axis_n sphaera_fw-la or_o the_o axletree_n of_o the_o world_n a_o sphere_n accidental_o be_v divide_v into_o two_o part_n that_o be_v to_o say_v in_fw-la sphaeram_fw-la rectam_fw-la and_o spharam_fw-la obliquam_fw-la sphera_fw-la recta_fw-la or_o a_o right_a sphere_n be_v only_o unto_o those_o that_o dwell_v under_o the_o equinoctial_a quibus_fw-la neuter_fw-la polorum_fw-la magis_fw-la altero_fw-la elevatur_fw-la that_o be_v to_o who_o neither_o of_o the_o pole_n of_o the_o world_n be_v see_v that_o lie_v hide_v in_o the_o horizon_n sphaera_fw-la obliqua_fw-la or_o a_o oblique_a sphere_n be_v unto_o those_o that_o inhabit_v on_o either_o side_n of_o the_o equinoctial_a unto_o who_o one_o of_o the_o pole_n be_v ever_o see_v and_o the_o other_o hide_v under_o the_o horizon_n the_o circle_n whereupon_o the_o sphere_n be_v compose_v be_v divide_v into_o two_o sort_n that_o be_v to_o say_v in_fw-la circulos_fw-la majores_fw-la et_fw-la minores_fw-la circuli_fw-la majores_fw-la or_o the_o great_a circle_n be_v those_o that_o divide_v the_o sphere_n into_o two_o equal_a part_n and_o they_o be_v in_o number_n six_o viz._n the_o equinoctial_a the_o middle_a of_o the_o zodiac_n or_o the_o ecliptic_a line_n the_o two_o colour_n the_o meridian_n and_o the_o horizon_n minores_fw-la vero_fw-la circuli_fw-la or_o the_o lesser_a circle_n be_v such_o as_o divide_v the_o sphere_n into_o two_o part_n unequal_o and_o they_o be_v four_o in_o number_n as_o the_o tropic_a of_o cancer_n the_o tropic_a of_o capricorn_n the_o circle_n arctic_a and_o the_o circle_n antarctic_a chap._n ii_o of_o the_o four_o great_a circle_n the_o equinoctial_a be_v a_o circle_n that_o cross_v the_o pole_n of_o the_o world_n at_o right_a angle_n and_o divide_v the_o sphere_n into_o two_o equal_a part_n and_o be_v call_v the_o equinoctial_a because_o when_o the_o sun_n come_v unto_o it_o which_o be_v twice_o in_o the_o year_n viz._n in_fw-la principio_fw-la arietus_n and_o libra_n that_o be_v march_n and_o september_n the_o day_n and_o night_n be_v equal_a throughout_o the_o whole_a world_n whereupon_o it_o be_v call_v equator_n dici_fw-la et_fw-la noctis_fw-la the_o equal_a proportioner_n of_o the_o day_n and_o night_n artificial_a and_o in_o the_o figure_n be_v describe_v by_o the_o line_n caesar_o the_o meridian_n be_v a_o great_a circle_n pass_v through_o the_o pole_n of_o the_o world_n and_o the_o pole_n of_o the_o horizon_n or_o zenith_n point_n over_o our_o head_n and_o be_v so_o call_v because_o that_o in_o any_o time_n of_o the_o year_n or_o in_o any_o place_n of_o the_o world_n when_o the_o sun_n by_o the_o motion_n of_o the_o heaven_n come_v unto_o that_o circle_n it_o be_v noon_n or_o 12_o of_o the_o clock_n and_o it_o be_v to_o be_v understand_v that_o all_o town_n and_o place_n that_o lie_v east_n and_o west_n one_o of_o another_o have_v every_o one_o a_o several_a meridian_n but_o all_o place_n that_o lie_v north_n and_o south_n one_o of_o another_o have_v one_o and_o the_o same_o meridian_n this_o circle_n be_v declare_v in_o the_o figure_n follow_v by_o the_o circle_n bcde_o the_o horizon_n be_v a_o circle_n divide_v the_o superior_a hemisphere_n from_o the_o inferior_a whereupon_o it_o be_v call_v horizon_n that_o be_v to_o say_v the_o bond_n of_o sight_n or_o the_o far_a distance_n that_o the_o eye_n can_v see_v and_o therefore_o it_o be_v also_o call_v circulus_fw-la hemispheri_fw-la the_o orison_n be_v divide_v into_o two_o sort_n viz._n rectus_fw-la and_o obliqun_fw-la a_o right_a and_o a_o oblique_a or_o a_o decline_a horizon_n whereof_o those_o have_v a_o right_a horizon_n which_o have_v the_o equinoctial_a for_o their_o zenith_n and_o the_o pole_n of_o the_o world_n in_o their_o horizon_n because_o the_o horizon_n hide_v both_o the_o pole_n of_o the_o world_n be_v a_o circle_n suppose_a to_o be_v draw_v by_o the_o pole_n of_o the_o world_n divide_v the_o equinoctial_a at_o right_a angle_n as_o in_o the_o figure_n follow_v you_o may_v plain_o see_v first_o imagine_v the_o circle_n xvyw_o to_o be_v the_o earth_n and_o those_o that_o inhabit_v at_o the_o point_n v_o have_v the_o line_n bd_o for_o their_o horizon_n cut_v the_o equinoctial_a caesar_o at_o right_a angle_n in_o a_o and_o therefore_o be_v call_v horizon_n rectus_fw-la et_fw-la sphaerarecta_fw-la a_o right_a horizon_n and_o a_o right_a sphere_n those_o have_v a_o oblique_a sphere_n or_o a_o oblique_a horizon_n to_o who_o