Selected quad for the lemma: truth_n

Word A	Word B	Word C	Word D	Occurrence	Frequency Band	MI	MI Band	Prominent
truth_n	care_n	certain_a	great_a	140	4	2.0643	3	false

Text snippets containing the quad

ID	Title	Author	Corrected Date of Publication (TCP Date of Publication)	STC	Words	Pages
A44885	A learned treatise of globes, both cœlestiall and terrestriall with their several uses / written first in Latine, by Mr. Robert Hues, and by him so published ; afterward illustrated with notes by Jo. Isa. Pontanus ; and now lastly made English ... by John Chilmead ...; Tractatus de globis et eorum usu. English	Hues, Robert, 1553-1632.; Chilmead, Edmund, 1610-1654.; Pontanus, Johannes Isacius, 1571-1639.; Molyneux, Emery.	1659 (1659)	Wing H3298; ESTC R1097	145,949	311

place_n of_o the_o sun_n apply_v the_o same_o to_o the_o meridian_n and_o reckon_v thereon_o how_o many_o degree_n the_o sun_n be_v distante_n from_o the_o aequator_fw-la for_o somany_n will_v the_o degree_n be_v to_o the_o sun_n declination_n for_o the_o day_n assign_v for_o the_o declination_n of_o the_o sun_n or_o of_o any_o other_o star_n be_v nothing_o else_o but_o the_o distance_n of_o the_o same_o from_o the_o aequator_fw-la reckon_v on_o the_o meridian_n but_o the_o sun_n declination_n may_v be_v much_o more_o exact_o find_v out_o of_o those_o table_n which_o mariner_n use_v in_o which_o the_o meridian_n altitude_n or_o declination_n of_o the_o sun_n for_o every_o day_n in_o the_o year_n and_o the_o quantity_n of_o it_o be_v express_v one_o thing_n i_o shall_v give_v you_o notice_n of_o by_o the_o way_n and_o that_o be_v that_o you_o make_v use_v of_o those_o that_o be_v late_a make_v as_o never_o as_o you_o can_v for_o all_o of_o they_o after_o some_o certain_a space_n of_o time_n will_v have_v their_o error_n and_o i_o give_v this_o advertisement_n the_o rather_o for_o that_o i_o have_v see_v some_o that_o have_v some_o of_o these_o table_n that_o be_v very_o ancient_a and_o write_v out_o with_o great_a care_n and_o diligence_n which_o notwithstanding_o will_v differ_v from_o the_o late_a table_n and_o indeed_o from_o the_o truth_n itself_o often_o time_n at_o least_o 10._o m._n and_o sometime_o more_o yet_o will_v they_o always_o use_v they_o very_o constant_o and_o with_o a_o kind_n of_o religion_n but_o these_o man_n take_v a_o great_a deal_n of_o pain_n and_o care_n to_o bring_v upon_o themselves_o no_o small_a error_n pont_n you_o also_o find_v out_o the_o sun_n great_a declination_n by_o his_o great_a and_o least_o altitude_n both_o in_o summer_n and_o winter_n by_o substract_v the_o least_o out_o of_o the_o great_a for_o than_o half_a that_o which_o remain_v will_v be_v the_o declination_n you_o seek_v for_o so_o regiomontanus_n at_o vienna_n find_v the_o meridian_n altitude_n of_o the_o sun_n at_o the_o summer_n solstice_n to_o be_v 65._o gr_n 30._o m._n and_o the_o least_o altitude_n of_o it_o on_o the_o winter_n solstice_n to_o be_v 18._o gr_n 30._o m._n when_o therefore_o he_o have_v deduct_v the_o least_o number_n 18._o gr_n 30._o m._n out_o of_o 65._o gr_n 30._o m._n be_v find_v the_o remainder_n to_o be_v 47._o gr_n 0._o m._n the_o half_a of_o which_o be_v the_o sun_n great_a declination_n namely_o 23._o gr_n 30._o m._n which_o be_v the_o number_n of_o degree_n now_o common_o receive_v notwithstanding_o it_o have_v be_v since_o observe_v by_o some_o in_o our_o time_n to_o be_v somewhat_o less_o now_o to_o know_v the_o longitude_n of_o the_o sun_n for_o any_o time_n that_o be_v to_o say_v in_o what_o degree_n of_o the_o zodiaque_fw-la he_o be_v you_o must_v do_v thus_o seek_v in_o the_o limb_n of_o the_o horizon_n for_o the_o day_n of_o the_o month_n for_o which_o you_o will_v know_v the_o longitude_n of_o the_o sun_n which_o find_v you_o shall_v see_v over_o against_o it_o among_o the_o sign_n of_o the_o zodiaque_fw-la describe_v also_o upon_o the_o horizon_n the_o degree_n of_o the_o sign_n that_o exact_o answer_v to_o it_o and_o which_o be_v the_o place_n of_o the_o sun_n for_o that_o day_n and_o month_n but_o if_o it_o be_v leap_v year_n you_o must_v remember_v after_o the_o 28_o of_o february_n to_o add_v one_o day_n more_o still_a as_o you_o go_v as_o if_o you_o shall_v look_v for_o the_o place_n of_o the_o sun_n on_o the_o 13_o march_v you_o must_v take_v that_o degree_n which_o be_v set_v for_o the_o 14_o of_o march_n which_o be_v the_o 3_o gr_n of_o v._n chap._n vi_o how_o to_o find_v the_o latitude_n of_o any_o place_n by_o observe_v the_o meridian_n altitude_n of_o the_o sun_n or_o other_o star_n observe_v the_o meridian_n altitude_n of_o the_o sun_n with_o the_o cross_a staff_n quadrant_n or_o other_o like_a instrument_n &_o have_v also_o find_v the_o place_n of_o the_o sun_n in_o the_o ecliptic_a apply_v the_o same_o to_o the_o meridian_n and_o so_o move_v the_o meridian_n up_o and_o down_o through_o the_o notch_n it_o stand_v in_o until_o the_o place_n of_o the_o sun_n be_v elevate_v so_o many_o degree_n above_o the_o horizon_n as_o the_o sun_n altititude_n be_v and_o the_o globe_n stand_v in_o this_o position_n the_o elevation_n of_o either_o of_o the_o pole_n will_v show_v the_o latitude_n of_o the_o place_n wherein_o you_o be_v a_o example_n whereof_o may_v be_v this_o on_o the_o 12_o of_o june_n according_a to_o the_o old_a julian_n account_n the_o sun_n be_v in_o the_o first_o degree_n of_o cancer_n and_o have_v his_o great_a declination_n 23●…_n degree_n and_o on_o the_o same_o day_n suppose_v the_o meridian_n altitude_n of_o the_o sun_n to_o be_v 50._o degree_n we_o inquire_v therefore_o now_o what_o be_v the_o latitude_n of_o the_o place_n where_o this_o observation_n be_v make_v and_o this_o we_o find_v out_o after_o this_o manner_n we_o apply_v the_o first_o degree_n of_o cancer_n to_o the_o meridian_n which_o w●…_n move_v up_o and_o down_o till_o the_o same_o degree_n be_v elevate_v above_o the_o horizon_n 50_o degree_n which_o be_v the_o meridian_n altitude_n of_o the_o sun_n observe_v now_o in_o this_o position_n of_o the_o globe_n we_o find_v the_o north_n pole_n to_o be_v elevate_v 63_o gr_n and_o a_o half_a so_o that_o we_o conclude_v this_o to_o be_v the_o latitude_n of_o the_o place_n where_o our_o observation_n be_v make_v the_o like_a way_n of_o proceed_v do_v mariner_n also_o use_v for_o the_o find_v out_o of_o the_o latitude_n of_o place_n by_o the_o meridian_n altitude_n of_o the_o sun_n and_o their_o table_n of_o declination_n but_o i_o shall_v not_o here_o speak_v any_o further_a of_o this_o as_o well_o for_o that_o the_o explication_n hereof_o do_v not_o so_o proper_o concern_v our_o present_a intention_n as_o also_o because_o it_o be_v so_o well_o know_v to_o every_o body_n as_o that_o the_o handle_n of_o it_o in_o this_o place_n will_v be_v needless_a and_o superfluous_a the_o like_a effect_n may_v bewrought_a in_o observe_v the_o meridian_n altitude_n of_o any_o other_o star_n express_v in_o the_o globe_n for_o if_o you_o set_v your_o globe_n so_o as_o that_o the_o star_n you_o mean_v to_o observe_v be_v so_o much_o elevate_v above_o the_o horizon_n as_o the_o meridian_n altitude_n of_o it_o be_v observe_v to_o be_v the_o elevation_n of_o the_o pole_n above_o the_o horizon_n will_v show_v the_o latitude_n of_o the_o place_n but_o here_o i_o shall_v advise_v that_o the_o latitude_n of_o place_n be_v rather_o inquire_v after_o by_o the_o meridian_n altitude_n of_o the_o sun_n then_o of_o the_o fix_a star_n because_o the_o declination_n as_o we_o have_v already_o show_v be_v very_o much_o change_v unless_o they_o be_v restore_v to_o their_o proper_a place_n by_o late_a observation_n some_o there_o be_v that_o undertake_v to_o perform_v the_o same_o not_o only_o by_o the_o meridian_n altitude_n of_o the_o sun_n or_o star_n but_o also_o by_o observe_v it_o at_o two_o several_a time_n and_o know_v the_o space_n of_o time_n or_o horizontall_a distance_n betwixt_o the_o two_o observation_n but_o the_o practice_n hereof_o be_v prolix_a and_o doubtful_a beside_o that_o by_o reason_n of_o the_o multitude_n of_o observation_n that_o must_v be_v make_v it_o be_v also_o subject_a to_o many_o error_n and_o difficulty_n notwithstanding_o the_o easy_a way_n of_o proceed_v that_o i_o know_v in_o this_o kind_n be_v this_o that_o follow_v to_o find_v out_o the_o latitude_n of_o any_o place_n by_o know_v the_o place_n of_o the_o sun_n or_o other_o star_n and_o observe_v the_o altitude_n of_o it_o two_o several_a time_n with_o the_o space_n of_o time_n betwixt_o the_o two_o observation_n first_o have_v take_v with_o your_o compass_n the_o compliment_n of_o the_o altitude_n of_o your_o first_o observation_n now_o the_o compliment_n of_o the_o altitude_n be_v nothing_o else_o but_o the_o difference_n of_o degree_n by_o which_o the_o altitude_n be_v find_v to_o be_v less_o than_o 90_o degree_n you_o must_v set_v one_o of_o the_o fee●…_n of_o your_o compass_n in_o that_o degree_n of_o the_o ecliptic_a that_o the_o sun_n be_v in_o at_o that_o time_n and_o with_o the_o other_o describe_v a_o circle_n upon_o the_o superficies_n of_o the_o globe_n tend_v somewhat_o towards_o the_o west_n if_o the_o observation_n be_v take_v before_o noon_n but_o towards_o the_o east_n if_o ibe_v make_v in_o the_o afternoon_n then_o have_v make_v your_o second_o observation_n and_o observe_v the_o space_n of_o time_n betwixt_o it_o and_o the_o former_a apply_v the_o place_n of_o the_o sun_n to_o the_o meridian_n turn_v the_o globe_n towards_o the_o east_n

his_o orb_n for_o the_o like_a space_n on_o the_o terrestrial_a globe_n shall_v the_o gnomon_n be_v without_o any_o shadow_n at_o all_o while_o the_o sun_n be_v in_o their_o zenich_n which_o if_o it_o be_v grant_v as_o it_o be_v free_o confess_v by_o posidonius_n in_o cleomedes_n we_o have_v then_o get_v the_o victory_n now_o it_o be_v assime_v by_o eratosthenes_n that_o the_o sun_n be_v in_o the_o begin_n of_o cancer_n and_o so_o direct_o in_o the_o vertical_a point_n at_o syene_n both_o there_o and_o for_o 〈◊〉_d furlong_n round_o about_o the_o gnomon_n cast_v no_o shadow_n at_o all_o let_v we_o now_o therefore_o see_v how_o great_a a_o part_n of_o this_o orb_n the_o sun_n diameter_n do_v subrend_a for_o by_o this_o mean_n if_o this_o position_n of_o eratosthenes_n which_o we_o have_v now_o set_v down_o be_v true_a we_o may_v easy_o find_v o●…_n by_o it_o the_o whole_a circuit_n of_o the_o earth_n firmicus_n maternus_n make_v the_o diameter_n both_o of_o the_o sun_n and_o moon_n to_o be_v no_o less_o than_o a_o whole_a degree_n but_o he_o be_v too_o far_o from_o the_o truth_n and_o assign_v a_o great_a quantity_n either_o than_o he_o ought_v or_o we_o desire_v the_o egyptians_n sound_n by_o hydroscopicall_a instrument_n that_o the_o diameter_n of_o the_o sun_n take_v up_o the_o seven_o hundred_o and_o fifty_o part_n of_o his_o orb_n so_o that_o if_o 3●…0_n furlong_n on_o earth_n answer_v to_o the_o seven_o hundred_o and_o fifty_o part_n of_o the_o whole_a circumference_n of_o the_o same_o the_o whole_a circuit_n of_o it_o then_o will_v be_v but_o 225000._o furlong_n the_o fabric_n and_o use_n of_o this_o instrument_n be_v set_v down_o by_o proclus_n in_o his_o cap_n 3._o designation_n astronomi_fw-la and_o theon_n also_o speak_v much_o of_o it_o in_o his_o commentary_n upon_o the_o 5._o lib._n almage_a ptolemy_n as_o also_o do_v maurolicus_n in_o his_o three_o dialog_n cosmograph_n but_o these_o kind_n of_o observation_n be_v not_o approve_v of_o by_o ptolemy_n and_o theon_n also_o and_o proclus_n de●…race_v they_o to_o be_v obnoxious_a to_o much_o error_n and_o therefore_o we_o examine_v the_o matter_n yet_o a_o little_a further_o aristarchus_n samius_n as_o he_o be_v cite_v by_o archimedes_n affirm_v that_o the_o sun●…_n apparent_a diameter_n take_v up_o the_o seven_o hundred_o and_o fifty_o part_n of_o the_o zodiac_n that_o be_v to_o say_v 30._o minute_n and_o be_v equal_a to_o the_o apparent_a diameter_n of_o the_o moon_n as_o he_o have_v it_o as_o i_o remember_v in_o the_o 7._o and_o 8._o proposition_n of_o his_o book_n de_fw-fr magnitud_n &_o distant_a solis_fw-la &_o luna_fw-la the_o same_o be_v the_o opinion_n also_o of_o archimedes_n himself_o but_o in_o the_o mean_a time_n i_o can_v free_v myself_o of_o a_o certain_a soruple_n cast_v in_o my_o way_n by_o another_o supposition_n of_o the_o same_o aristarchus_n in_o the_o very_a same_o book_n where_o he_o will_v have_v the_o diameter_n of_o the_o moon_n to_o be_v 2._o deg●…es_n archimedes_n also_o out_o of_o his_o own_o observation_n by_o dioptricall_a instrument_n have_v define_v the_o sun_n diameter_n to_o be_v great_a than_o the_o 200_o part_n of_o a_o right_a angle_n that_o be_v to_o say_v 27._o minute_n yet_o less_o than_o the_o 164_o part_n of_o a_o right_a angle_n which_o be_v 33._o minute_n but_o he_o himself_o confess_v that_o there_o be_v not_o so_o great_a credit_n to_o be_v give_v to_o such_o like_a observation_n as_o be_v make_v by_o these_o dioptricall_a instrument_n as_o by_o they_o to_o be_v able_a exact_o to_o find_v out_o the_o diameter_n of_o the_o sun_n or_o moon_n see_v that_o neither_o the_o sight_n nor_o the_o han●…_n nor_o yet_o the_o instrument_n themselves_o by_o which_o the_o observation_n be_v to_o be_v make_v can_v be_v every_o way_n so_o exact_a and_o sure_a as_o not_o to_o fail_v ptolemy_n by_o the_o same_o dioptricall_a instrument_n as_o also_o by_o the_o manner_n of_o eclipse_n sound_v the_o diameter_n of_o the_o sun_n to_o contain_v 30._o m._n 20._o sec._n and_o to_o be_v equal_a to_o the_o apparent_a diameter_n of_o the_o moon_n when_o she_o be_v at_o the_o great_a distance_n from_o the_o earth_n which_o be_v at_o the_o full_a moon_n and_o in_o conjunction_n with_o the_o sun_n now_o whereas_o he_o will_v have_v this_o magnitude_n to_o be_v constant_o the_o same_o and_o invariable_a proclus_n approve_v not_o of_o he_o herein_o as_o appear_v in_o his_o 3._o cap._n designation_n astronom_n be_v hereto_o induce_v by_o the_o authority_n of_o sosigenes_n a_o peripatetic_n who_o in_o those_o book_n of_o he_o which_o he_o intitule_v derevolutionibus_fw-la have_v observe_v that_o in_o the_o eclipse_n of_o the_o sun_n there_o be_v sometime_o a_o certain_a little_a ring_n or_o circle_n of_o the_o sun_n to_o be_v perceive_v enlighten_v and_o appear_v plain_o on_o all_o side_n round_o about_o the_o body_n of_o the_o moon_n which_o if_o it_o be_v true_a it_o be_v impossible_a then_o that_o the_o apparent_a magnitude_n of_o the_o sun_n shall_v be_v at_o all_o time_n equal_a to_o that_o of_o the_o moon_n in_o their_o conjunction_n and_o opposition_n and_o this_o be_v the_o cause_n perhaps_o that_o those_o that_o have_v come_v after_o ptolemy_n have_v endeavour_v to_o examine_v these_o thing_n more_o accurate_o and_o first_o of_o all_o albateni_fw-la find_v the_o diameter_n of_o the_o sun_n when_o he_o be_v in_o the_o apogaeum_n of_o his_o eccentrick_a to_o be_v 31._o m._n 20._o sec._n which_o be_v the_o same_o which_o ptolemy_n observation_n but_o in_o the_o perigaum_n to_o be_v 33._o m._n 40._o sec._n but_o copernicus_n go_v yet_o further_o and_o find_v the_o diameter_n of_o the_o sun_n when_o he_o be_v in_o his_o great_a distance_n from_o the_o earth_n to_o be_v 31._o m._n 48._o sec._n and_o when_o he_o be_v near_o of_o all_o to_o be_v 33._o m._n 54._o sec._n now_o therefore_o if_o we_o work_v upon_o this_o ground_n here_o lay_v before_o we_o and_o take_v the_o diameter_n to_o be_v 32._o in_o it_o will_v then_o follow_v that_o if_o 300_o furlong_n answer_v to_o 32._o minute_n the_o whole_a circuit_n of_o the_o earth_n will_v be_v but_o 202500._o furlong_n which_o fall_v short_a of_o that_o measure_n which_o posidonius_n have_v set_v down_o but_o much_o more_o of_o that_o which_o eratosthenes_n have_v deliver_v and_o thus_o much_o have_v woe_n think_v good_a to_o say_v with_o all_o ●…e_a reverence_n to_o the_o judgement_n of_o learned_a author_n in_o examination_n of_o ●…hose_v thing_n which_o have_v be_v deliver_v by_o the_o greek_n concern_v the_o measure_n of_o the_o earth_n circumference_n the_o way_n of_o measure_v use_v here_o with_o we_o be_v by_o miles_n and_o latitude_n of_o the_o former_a whereof_o 60._o and_o of_o the_o late_a 20._o answer_v to_o a_o degree_n so_o that_o the_o circumference_n of_o the_o earth_n contain_v 21600._o english_a miles_n which_o also_o agree_v exact_o with_o that_o of_o ptolemy_n for_o we_o find_v our_o english_a foot_n to_o be_v just_o equal_a with_o 〈◊〉_d grecian_a by_o compare_v it_o with_o the_o grecian_a foot_n which_o agricola_n and_o other_o have_v deliver_v unto_o we_o out_o of_o their_o monument_n of_o antiquity_n now_o one_o of_o our_o mile_n contain_v 5000._o foot_n of_o our_o english_a measure_n and_o a_o furlong_n 600._o grecian_a foot_n now_o if_o you_o multiply_v th●…_n 〈◊〉_d of_o a_o furlong_n by_o 500_o for_o so_o many_o furlong_n do_v ptolemy_n allot_v to_o a_o degree_n and_o so_o likewise_o the_o measure_n of_o a_o mile_n which_o be_v 5000._o foot_n by_o 60._o which_o be_v also_o the_o number_n of_o mile_n that_o we_o reckon_v for_o a_o degree_n they_o will_v both_o produce_v the_o same_o number_n of_o foot_n viz._n 300000._o so_o that_o from_o these_o ground_n we_o may_v certain_o conclude_v that_o the_o common_a computation_n receive_v among_o our_o mariner_n do_v agree_v most_o exact_o with_o that_o of_o ptolemy_n the_o italian_n also_o make_v 60._o mile_n to_o be_v the_o measure_n of_o a_o degree_n but_o their_o measure_n be_v something_o less_o than_o ptolemy_n the_o grecian_n reckon_v 15._o mile_n to_o a_o degree_n one_o of_o their_o mile_n contain_v 4._o italian_n so_o that_o this_o reckon_n of_o they_o fall_v ●…ust_a as_o much_o short_a of_o ptolemy_n as_o the_o italian_a do_v for_o according_a to_o their_o computation_n a_o degree_n contain_v not_o above_o 480._o furlong_n every_o italian_a mile_n consist_v but_o of_o 8._o furlong_n unless_o perhaps_o you_o rather_o approve_v of_o polybius_n his_o opinion_n who_o as_o he_o be_v cite_v by_o strabo_n over_o and_o above_o 8._o furlong_n will_v have_v 2._o plethra_n which_o be_v the_o thid_a part_n of_o a_o furlong_n to_o be_v add_v to_o every_o mile_n which_o be_v the_o just_a measure_n of_o our_o english_a mile_n yet_o appian_n say_v