Selected quad for the lemma: day_n

Word A	Word B	Word C	Word D	Occurrence	Frequency Band	MI	MI Band	Prominent
day_n	degree_n	minute_n	pole_n	4,710	5	12.3043	5	false

Text snippets containing the quad

ID	Title	Author	Corrected Date of Publication (TCP Date of Publication)	STC	Words	Pages
A46233	An history of the constancy of nature wherein by comparing the latter age with the former, it is maintained that the world doth not decay universally in respect of it self, or the heavens, elements, mixt bodies, meteors, minerals, plants, animals, nor man in his age, stature, strength, or faculties of his minde, as relating to all arts and science / by John Jonston of Poland.; Naturae constantia. English	Jonstonus, Joannes, 1603-1675.; Rowland, John, M.D.	1657 (1657)	Wing J1016; ESTC R11015	93,469	200

earth_n and_o not_o so_o far_o remote_a towards_o either_o pole_n and_o last_o that_o the_o pole_n star_n in_o the_o tail_n of_o ursa_n minor_n be_v near_a to_o the_o pole_n and_o therefore_o the_o heaven_n be_v deficient_a it_o be_v so_o for_o there_o be_v many_o that_o now_o live_v under_o the_o torrid_a zone_n and_o there_o be_v merchandise_n for_o multitude_n of_o commodity_n natura_fw-la from_o hence_o thither_o bodinus_fw-la report_v out_o of_o copernicus_n rainoldus_n stadius_n and_o other_o that_o the_o sun_n be_v now_o more_o near_o to_o the_o earth_n by_o 136._o semidiameter_n or_o 26600._o mile_n and_o philippus_n melancthon_n think_v that_o aught_o to_o be_v refer_v to_o the_o waste_a condition_n of_o the_o earthly_a and_o heavenly_a body_n it_o be_v the_o common_a opinion_n of_o astronomer_n that_o the_o sun_n in_o winter_n be_v not_o so_o far_o from_o we_o towards_o the_o south_n as_o he_o be_v in_o the_o day_n of_o ptolemy_n and_o hipparchus_n and_o not_o so_o near_o towards_o the_o north_n in_o summer_n for_o ptolemy_n about_o the_o year_n of_o christ_n 140._o discover_v the_o great_a declination_n of_o the_o sun_n from_o the_o equinoctial_a line_n towards_o either_o of_o the_o pole_n to_o be_v 23_o degree_n 51._o minute_n 20._o second_n and_o because_o he_o find_v that_o account_n to_o agree_v with_o the_o observation_n of_o hipparchus_n who_o live_v 130._o year_n before_o christ_n and_o of_o eratosthenes_n who_o precede_v he_o he_o thence_o conclude_v that_o the_o sun_n great_a declination_n be_v immutable_a but_o in_o the_o year_n of_o christ_n one_o thousand_o four_o hundred_o and_o thirty_o the_o most_o learned_a astronomer_n of_o the_o arabian_n find_v the_o same_o declination_n to_o be_v but_o 23._o degree_n 35._o minute_n to_o who_o albategnius_n subscribe_v who_o live_v in_o the_o year_n 880._o but_o in_o the_o year_n 1070_o arzachel_n a_o ethiopian_a bear_v in_o spain_n take_v the_o great_a declination_n which_o he_o find_v to_o be_v 23_o degree_n 33_o minute_n 30_o second_o and_o that_o he_o may_v salve_v the_o difference_n of_o observation_n he_o invent_v a_o new_a hypothesis_n copernicus_n afterward_o follow_v he_o in_o the_o year_n 1520._o conclude_v that_o the_o sun_n great_a declination_n be_v mutable_a yet_o never_o great_a than_o 23_o degree_n 52_o minute_n nor_o less_o than_o 23_o degree_n 28_o minute_n and_o he_o teach_v we_o that_o in_o the_o space_n of_o 1_o thousand_o seven_o hundred_o and_o seventy_o year_n the_o sun_n will_v pass_v from_o the_o former_a to_o the_o latter_a and_o again_o in_o so_o much_o space_n of_o time_n the_o sun_n will_v go_v back_o again_o from_o the_o latter_a to_o the_o former_a therefore_o out_o of_o this_o hypothesis_n of_o copernicus_n about_o 65_o year_n before_o the_o birth_n of_o christ_n the_o great_a declination_n of_o the_o sun_n be_v 23_o degree_n 52_o minute_n from_o which_o time_n calculate_v backward_o it_o have_v ever_o grow_v less_o and_o less_o until_o about_o 1782._o year_n before_o christ_n the_o great_a declination_n 〈◊〉_d but_o 23_o degree_n 28_o minute_n and_o from_o that_o count_v backward_o again_o as_o before_o it_o increase_v until_o in_o the_o year_n 3499_o before_o christ_n it_o grow_v to_o be_v 23_o degree_n 52_o minute_n last_o molineus_n write_v of_o the_o pole_n star_n in_o the_o tail_n of_o ursa_n minor_n that_o in_o the_o day_n of_o hipparchus_n it_o be_v 12_o degree_n distant_a from_o the_o pole_n of_o the_o world_n and_o now_o a_o day_n it_o be_v hardly_o four_o degree_n from_o it_o and_o he_o suppose_v that_o when_o it_o shall_v come_v to_o stand_v in_o the_o pole_n place_n which_o may_v be_v within_o 500_o or_o 600_o year_n the_o period_n shall_v be_v which_o god_n have_v set_v to_o nature_n i_o willing_o grant_v all_o these_o thing_n yet_o i_o see_v not_o what_o inconvenience_n will_v happen_v to_o our_o cause_n thereby_o since_o they_o that_o be_v of_o a_o faction_n against_o this_o do_v defend_v a_o universal_a decline_a they_o must_v also_o of_o necessity_n say_v that_o the_o cold_a zone_n by_o the_o cold_a be_v increase_v be_v become_v inhabitable_a and_o that_o the_o force_n of_o man_n be_v so_o wear_v that_o they_o can_v by_o no_o mean_n endure_v it_o the_o sun_n neerernesse_n to_o we_o be_v either_o found_v upon_o false_a principle_n or_o the_o sun_n declination_n be_v uncertain_a and_o changeable_a for_o ptolemy_n about_o the_o year_n of_o christ_n 140_o place_v the_o distance_n of_o the_o sun_n from_o the_o earth_n in_o 1210_o semidiameter_n of_o the_o earth_n but_o albategnius_n about_o the_o year_n 880_o find_v it_o to_o be_v 1146_o semidiameter_n copernicus_n about_o the_o year_n 1520_o find_v it_o to_o be_v 1179._o tycho_n brahe_n about_o the_o year_n 1600_o calculate_v it_o to_o be_v 1182_o diameter_n but_o la●sburgius_n keplerus_n and_o other_o suppose_v the_o sun_n be_v distant_a from_o the_o earth_n 3000_o semidiameter_n scaliger_n hold_v that_o opinion_n to_o be_v so_o absurd_a that_o he_o break_v forth_o into_o these_o word_n that_o which_o some_o have_v be_v bold_a to_o write_v 99_o that_o the_o body_n of_o the_o sun_n be_v not_o far_o more_o near_o than_o it_o be_v write_v to_o be_v by_o our_o ancestor_n so_o that_o it_o may_v seem_v to_o have_v change_v its_o place_n in_o the_o body_n of_o the_o deferent_a orb_n their_o very_a write_n ought_v to_o be_v wipe_v out_o with_o sponge_n or_o themselves_o whip_v with_o rod_n as_o for_o the_o sun_n come_v near_o to_o the_o south_n or_o to_o the_o north_n the_o most_o learned_a doctor_n banbridge_n astromonie_n reader_n in_o the_o famous_a university_n of_o oxford_n think_v that_o the_o sun_n declination_n be_v immutable_a and_o that_o the_o difference_n of_o some_o minute_n between_o we_o and_o ptolemy_n may_v arise_v from_o some_o error_n among_o the_o ancient_n in_o their_o observation_n whence_o it_o will_v follow_v that_o the_o sun_n be_v not_o far_o remove_v towards_o the_o south_n nor_o be_v he_o come_v near_o to_o the_o north._n yet_o however_o if_o we_o shall_v grant_v that_o there_o be_v a_o mutability_n it_o will_v follow_v that_o as_o the_o sun_n be_v 65_o year_n before_o christ_n far_a off_o towards_o the_o south_n than_o it_o be_v now_o so_o in_o the_o year_n that_o go_v before_o those_o year_n it_o be_v not_o far_o off_o and_o when_o that_o the_o great_a declination_n be_v at_o the_o high_a the_o sun_n in_o winter_n will_v be_v far_o towards_o the_o south_n and_o near_o in_o summer_n towards_o the_o north_n but_o when_o it_o be_v at_o the_o low_a it_o will_v be_v all_o contrary_a last_o if_o any_o inconvenience_n may_v fall_v upon_o we_o thereby_o that_o be_v recompense_v by_o the_o convenience_n that_o befall_v they_o that_o live_v towards_o the_o south_n and_o so_o nothing_o can_v be_v collect_v thence_o for_o to_o prove_v a_o universal_a fall_n of_o the_o world_n from_o worse_a to_o worse_o the_o opinion_n of_o that_o rare_a man_n be_v ground_v on_o a_o weak_a foundation_n for_o the_o pole_n star_n will_v never_o remove_v to_o be_v in_o place_n of_o the_o pole_n of_o the_o world_n or_o be_v so_o straighten_v that_o it_o can_v proceed_v forward_o i_o grant_v indeed_o that_o after_o 50_o year_n be_v go_v it_o will_v be_v very_o near_o to_o it_o but_o it_o will_v go_v back_o again_o and_o it_o will_v become_v more_o northerly_a as_o it_o be_v now_o southerly_a and_o this_o seem_v to_o be_v most_o certain_a and_o if_o the_o come_n near_o or_o go_v far_o off_o from_o the_o pole_n by_o other_o star_n do_v not_o show_v the_o end_n of_o the_o world_n what_o reason_n will_v persuade_v we_o that_o this_o star_n shall_v show_v it_o proposition_n iii_o the_o world_n in_o respect_n of_o the_o element_n do_v not_o grow_v to_o be_v worse_o be_v that_o the_o element_n may_v be_v consider_v in_o general_a or_o in_o special_a that_o this_o article_n may_v be_v more_o exact_o demonstrate_v four_o other_o article_n seem_v to_o belong_v unto_o it_o i._o that_o the_o world_n in_o respect_n of_o the_o element_n in_o general_n do_v not_o grow_v worse_o ii_o not_o in_o respect_n of_o the_o air_n iii_o not_o in_o respect_n of_o the_o water_n iu._n not_o in_o respect_n of_o the_o earth_n we_o shall_v therefore_o show_v all_o these_o in_o their_o order_n the_o first_o article_n the_o element_n in_o general_n do_v not_o grow_v worse_o for_o if_o the_o element_n consider_v in_o general_a shall_v universal_o and_o perpetual_o grow_v worse_o they_o shall_v decay_v either_o in_o respect_n of_o number_n or_o quality_n or_o proportion_n or_o transmutation_n but_o it_o be_v not_o so_o in_o any_o of_o these_o what_o concern_v their_o number_n the_o common_a opinion_n be_v that_o there_o be_v four_o but_o three_o be_v the_o truth_n for_o the_o fire_n be_v but_o the_o supronie_n part_n

of_o the_o pure_a air_n that_o be_v more_o subtle_a hot_a and_o free_a from_o exhalation_n for_o since_o the_o scripture_n do_v no_o where_o speak_v of_o fire_n no_o not_o in_o genesis_n where_o thing_n create_v be_v describe_v why_o shall_v we_o maintain_v it_o and_o if_o that_o solid_a element_n of_o fire_n shall_v differ_v in_o subtlety_n and_o thinness_n from_o the_o sky_n or_o the_o uppermost_a part_n of_o the_o air_n a_o new_a refraction_n of_o the_o star_n must_v needs_o follow_v by_o reason_n of_o the_o fire_n and_o we_o shall_v be_v ignorant_a of_o their_o true_a place_n which_o be_v false_a moreover_o nature_n in_o the_o chief_a thing_n have_v observe_v the_o number_n of_o three_o for_o to_o say_v nothing_o of_o the_o supernatural_a mystery_n of_o the_o trinity_n there_o be_v a_o trinity_n in_o man_n sex_n the_o male_a the_o female_a and_o the_o hermaphrodite_n there_o be_v three_o first_o principle_n of_o natural_a thing_n as_o matter_n form_n and_o privation_n also_o there_o be_v three_o sensible_a principle_n salt_n brimstone_n and_o mercury_n there_o be_v three_o principal_a part_n in_o man_n and_o three_o kind_n of_o spirit_n the_o animal_n vital_a and_o natural_a as_o also_o they_o have_v three_o channel_n or_o vessel_n namely_o the_o nerve_n artery_n and_o vein_n there_o be_v three_o humour_n in_o the_o blood_n as_o there_o be_v in_o milk_n the_o buttery_n part_n of_o milk_n resemble_v the_o air_n and_o so_o do_v the_o choleric_a part_n of_o the_o blood_n the_o wheyish_a part_n of_o the_o milk_n and_o the_o serene_a part_n of_o the_o blood_n resemble_v the_o water_n and_o the_o crud_o part_n of_o milk_n resemble_v the_o earth_n as_o do_v the_o grosser_n choler_n of_o the_o blood_n every_o man_n know_v that_o this_o number_n be_v find_v now_o adays_o and_o in_o respect_n of_o the_o quality_n the_o earth_n be_v now_o the_o dry_a element_n the_o cold_a and_o the_o heavy_a the_o air_n be_v the_o hot_a moiste_v and_o light_a the_o water_n be_v cold_a and_o moist_a aristotle_n make_v the_o proportion_n between_o the_o element_n to_o be_v ten_o degree_n but_o it_o be_v not_o so_o for_o the_o circumference_n of_o the_o earth_n be_v 5400._o mile_n 5._o therefore_o the_o diameter_n be_v 1718_o the_o semidiameter_n be_v 859_o or_o 860_o which_o be_v choose_v for_o to_o facilitate_v the_o account_n moreover_o there_o be_v many_o empty_a place_n of_o the_o earth_n that_o be_v without_o water_n and_o where_o sea_n be_v the_o earth_n be_v under_o the_o water_n 5._o so_o that_o the_o depth_n of_o the_o sea_n as_o be_v gather_v by_o the_o observation_n of_o the_o most_o skilful_a mariner_n in_o many_o place_n scarce_o amount_v to_o 80_o or_o a_o 100_o pase_n more_o seldom_o to_o two_o or_o 300_o pase_n and_o most_o seldom_o to_o 500_o pase_n but_o seldom_o or_o never_o to_o a_o 1000_o pase_n and_o that_o be_v but_o the_o four_o part_n of_o a_o german_a mile_n and_o if_o this_o be_v compare_v with_o the_o diameter_n or_o depth_n of_o the_o earth_n it_o be_v as_o the_o height_n of_o a_o drop_n of_o sweat_n compare_v with_o the_o whole_a body_n moreover_o experience_n show_v that_o air_n will_v be_v make_v of_o a_o few_o drop_n of_o water_n that_o be_v by_o many_o degree_n more_o than_o they_o and_o who_o can_v deny_v but_o that_o this_o proportion_n hold_v even_o at_o this_o day_n incorruptibilitate_fw-la as_o for_o their_o transmutation_n there_o be_v a_o notable_a compensation_n of_o the_o four_o fold_n force_n in_o the_o element_n dispense_n their_o course_n by_o equal_a rule_n and_o bound_n for_o as_o the_o circle_n of_o the_o year_n be_v distinguish_v by_o four_o quarter_n one_o quarter_n succeed_v after_o a_o other_o and_o by_o the_o same_o circuit_n until_o the_o same_o time_n return_v again_o in_o like_a manner_n the_o element_n of_o the_o world_n succeed_v one_o the_o other_o in_o their_o course_n be_v change_v and_o you_o will_v say_v it_o be_v incredible_a when_o they_o seem_v to_o die_v they_o be_v make_v immortal_a run_v the_o same_o race_n again_o and_o again_o and_o pass_v daily_o up_o and_o down_o the_o same_o way_n for_o from_o the_o earth_n begin_v a_o rise_a way_n which_o melt_v be_v change_v into_o water_n than_o the_o water_n evaporate_v into_o air_n the_o air_n be_v rarefy_v till_o it_o he_o fire_v &_o another_o decline_a way_n tend_v downward_o from_o the_o top_n the_o fire_n be_v put_v out_o sink_v down_o into_o air_n and_o the_o air_n become_v thick_a and_o turn_v to_o water_n and_o the_o moisture_n of_o the_o water_n become_v gross_a till_o it_o be_v earth_n true_a it_o be_v they_o be_v not_o otherwise_o mingle_v than_o as_o islander_n be_v with_o those_o that_o traffic_n with_o they_o yet_o this_o can_v be_v deny_v but_o it_o be_v do_v for_o the_o great_a good_a of_o the_o universe_n for_o pure_a water_n be_v unfit_a to_o drink_v the_o earth_n will_v afford_v no_o moisture_n for_o corn_n and_o we_o can_v not_o breathe_v in_o the_o air._n hence_o saint_n augustine_n 2._o the_o air_n on_o the_o top_n of_o olympus_n be_v report_v to_o be_v so_o thin_a that_o it_o can_v nourish_v bird_n nor_o yet_o man_n that_o happen_v to_o go_v up_o thither_o can_v be_v nourish_v with_o the_o spirit_n of_o a_o grosser_n air_n as_o they_o be_v wout_z to_o be_v and_o be_v requisite_a for_o their_o nutriment_n article_n ii_o the_o element_n of_o the_o air_n be_v deficient_a in_o nothing_o if_o the_o air_n have_v fail_v in_o any_o thing_n it_o have_v fail_v in_o its_o temper_n but_o if_o we_o credit_v historian_n in_o former_a time_n the_o dryness_n of_o the_o air_n be_v great_a and_o the_o infection_n of_o it_o more_o pestilential_a chronicle_n write_v that_o in_o the_o year_n 1234_o the_o winter_n be_v so_o cold_a that_o in_o the_o adriatic_a sea_n the_o venetian_a factour_n pass_v over_o the_o ice_n load_v with_o their_o money_n zona●us_a report_n that_o the_o like_a accident_n fall_v out_o in_o the_o pontic_a sea_n and_o the_o sea_n adjoin_v under_o constantinus_n copronymus_n in_o the_o day_n of_o charles_n the_o great_a there_o be_v a_o great_a and_o most_o bitter_a frost_n whereby_o the_o pontic_a sea_n for_o a_o hundred_o miles_n eastward_o be_v turn_v to_o ice_n and_o be_v from_o top_n to_o the_o bottom_n 50_o cubit_n thick_a in_o the_o year_n 1125_o the_o winter_n be_v so_o violent_a that_o innumerable_a eel_n in_o brabant_n by_o reason_n of_o the_o ice_n go_v forth_o of_o the_o lake_n which_o be_v strange_a and_o get_v into_o hay_n ricks_n and_o lay_v hide_v there_o till_o by_o extreme_a cold_n they_o rot_v away_o robertus_fw-la de_fw-fr monte_fw-fr and_o the_o tree_n at_o last_o scarce_o have_v any_o leaf_n put_v forth_o in_o may._n but_o to_o speak_v of_o the_o dryness_n histo._n i_o read_v in_o livy_n that_o in_o the_o year_n after_o rome_n be_v build_v 322_o that_o the_o rain_n from_o heaven_n not_o only_o fail_v but_o the_o earth_n also_o want_v her_o inbred_a moisture_n and_o have_v hardly_o enough_o to_o serve_v for_o the_o perpetual_a river_n and_o where_o fountain_n and_o river_n be_v dry_v up_o and_o water_n fail_v the_o cattle_n die_v for_o thirst_n meigerius_n in_o the_o year_n 1153_o the_o wood_n take_v fire_n by_o extreme_a heat_n of_o the_o weather_n and_o the_o fat_a earth_n burn_v and_o no_o rain_n can_v extinguish_v it_o the_o german_a annal_n report_v that_o in_o the_o year_n 1228_o the_o air_n be_v so_o hot_a that_o the_o harvest_n be_v end_v to_o use_v their_o own_o word_n before_o the_o feast_n of_o saint_n john_n baptist._n in_o the_o year_n 1473_o the_o wood_n in_o bohemia_n burn_v 18_o week_n and_o the_o danow_n be_v so_o dry_a that_o in_o many_o place_n it_o be_v fordable_a and_o the_o same_o thing_n be_v write_v of_o the_o river_n of_o the_o thames_n in_o the_o reign_n of_o henry_n the_o first_o but_o in_o the_o year_n 1494_o in_o the_o end_n of_o july_n the_o lake_n and_o water_n be_v so_o bind_v up_o with_o ice_n that_o all_o the_o fish_n die_v for_o want_v of_o water_n you_o may_v add_v to_o this_o what_o tacitus_n write_v of_o armenia_n 13._o that_o the_o winter_n fall_v out_o so_o cruel_a that_o the_o ground_n be_v so_o cover_v with_o jce_fw-la that_o without_o they_o dig_v they_o can_v find_v no_o place_n for_o their_o tent_n many_o man_n limb_n be_v scorch_v with_o extremity_n of_o cold_a and_o some_o upon_o their_o watch_n be_v find_v dead_a and_o there_o be_v a_o soldier_n observe_v who_o carry_v a_o bundle_n of_o wood_n who_o hand_n be_v so_o freeze_v that_o they_o cleave_v fast_o to_o the_o wood_n and_o fall_v off_o from_o his_o arm_n that_o be_v thus_o maim_v as_o concern_v the_o pestilent_a infection_n of_o the_o air_n it_o be_v once_o so_o great_a in_o greece_n as_o thucydides_n

nilus_n be_v near_o the_o mountain_n of_o the_o moon_n not_o far_o from_o the_o promontory_n of_o good-hope_a iv._o of_o the_o antipode_n 2d_o lactantiu●_n of_o old_a speak_v thus_o what_o do_v they_o say_v that_o think_v the_o antipode_n to_o be_v man_n who_o foot_n walk_v against_o we_o do_v they_o say_v any_o thing_n or_o be_v any_o man_n so_o foolish_a to_o think_v there_o be_v man_n who_o foot_n be_v high_a than_o their_o head_n or_o that_o their_o weight_n lie_v against_o the_o place_n we_o do_v turn_v the_o contrary_a way_n that_o corn_n and_o tree_n grow_v downward_o that_o rain_n snow_n hail_o fall_v upward_o upon_o the_o earth_n and_o virgilius_n bishop_n of_o salisbury_n be_v condemn_v for_o this_o of_o heresy_n by_o pope_n zachary_n yet_o now_o adays_o we_o be_v sure_o there_o be_v such_o i_o can_v speak_v no_o otherwise_o of_o astronomy_n for_o i._o the_o ephemerides_n be_v not_o know_v to_o ptolemy_n purbachius_n be_v the_o first_o that_o bring_v they_o forth_o ii_o many_o instrument_n within_o these_o few_o year_n have_v be_v find_v out_o by_o tycho_n brahe_n galileus_n and_o o●hers_n whereby_o new_a star_n have_v be_v discover_v and_o milky_a way_n which_o reason_n of_o meteor_n be_v hide_v from_o aristotle_n and_o the_o ancient_n iii_o the_o quadrature_n of_o the_o circle_n be_v a_o thing_n to_o be_v know_v in_o aristotle_n his_o day_n b●t_v it_o be_v not_o know_v know_v scaliger_n write_v that_o he_o first_o find_v it_o out_o yet_o pancirollus_n say_v not_o above_o thirty_o year_n since_o be_v that_o art_n invent_v which_o contain_v in_o it_o some_o wonderful_a secret_n ancient_n iu._n last_o the_o most_o learned_a brig_n late_a professor_n of_o geometry_n in_o the_o famous_a university_n of_o oxford_n sai_z that_o the_o ancient_n know_v not_o these_o thing_n so_o well_o copernicus_n astronomy_n which_o teach_v we_o that_o the_o earth_n be_v the_o centre_n of_o the_o globe_n of_o the_o moon_n and_o that_o the_o sun_n be_v the_o centre_n of_o all_o the_o other_o planet_n which_o may_v be_v discern_v by_o our_o sight_n by_o help_n of_o a_o optic_a glass_n late_o invent_v in_o venus_n and_o mercury_n when_o they_o be_v in_o the_o low_a part_n of_o their_o orbs._n he_o show_v also_o by_o the_o diurnal_a motion_n of_o the_o earth_n the_o rise_n and_o set_v of_o all_o the_o star_n and_o by_o the_o annual_a motion_n of_o thesame_n in_o its_o great_a orb_n to_o find_v out_o far_o more_o easy_o the_o motion_n and_o distance_n of_o all_o the_o planet_n and_o their_o progress_v in_o the_o heaven_n their_o station_n and_o retrogradation_n than_o we_o can_v by_o the_o epicycle_n or_o other_o hypethese_n of_o ptolemy_n or_o of_o any_o of_o the_o ancient_n the_o four_o star_n which_o galilaeus_fw-la galilaei_n the_o florentine_a call_v medicea_n who_o first_o find_v they_o out_o by_o his_o tuba_fw-la optica_fw-la be_v always_o carry_v about_o the_o star_n of_o jupiter_n and_o when_o they_o fall_v within_o the_o shadow_n of_o he_o they_o be_v eclipse_v jupiter_n intercept_n the_o sun_n beam_n as_o the_o earth_n do_v when_o the_o moon_n be_v eclipse_v to_o find_v out_o the_o value_n of_o algebraic_a aequation_n of_o all_o thing_n if_o it_o be_v rational_a and_o if_o it_o be_v not_o yet_o to_o express_v it_o next_o unto_o that_o in_o number_n absolute_a and_o that_o as_o accurate_o as_o we_o can_v do_v any_o side_n of_o a_o surd_a number_n or_o the_o length_n of_o any_o irrational_a line_n any_o subtendent_fw-la line_n be_v give_v in_o a_o circle_n to_o find_v out_o the_o subtendent_fw-la of_o the_o three_o part_n of_o the_o circumference_n give_v whc_n theos_n in_o his_o comment_n upon_o ptolemy_n think_v to_o be_v impossible_a and_o not_o only_o of_o a_o three_o part_n but_o of_o any_o part_n be_v it_o even_o or_o odd_a the_o very_a subtendent_fw-la line_n be_v find_v of_o a_o odd_a part_n but_o the_o very_a subtendent_fw-la of_o a_o even_a part_n be_v not_o find_v at_o one_o operation_n but_o only_o the_o square_n of_o subtendent_fw-la and_o the_o great_a the_o number_n of_o part_n be_v so_o much_o hard_a it_o will_v be_v to_o find_v out_o the_o subtendent_fw-la the_o canon_n of_o right_a line_n tangent_n and_o secant_v to_o the_o circle_n be_v not_o know_v to_o any_o of_o the_o ancient_n erasmus_fw-la reinoldus_n first_o frame_v they_o and_o the_o canon_n of_o sines_n that_o be_v far_o more_o commodious_a than_o the_o canon_n of_o subtendent_o in_o ptolemy_n be_v first_o discover_v by_o johannes_n regiomontanus_n and_o afterward_o be_v most_o accurate_o calculate_v by_o many_o man_n the_o total_a doctrine_n of_o logarithm_n be_v first_o invent_v by_o john_n napier_n baron_n of_o merchiston_n a_o scotchman_n whereof_o none_o of_o the_o ancient_n ever_o so_o much_o as_o dream_v of_o whereby_o many_o problem_n in_o astronomy_n arithmetic_n and_o geometry_n be_v resolve_v with_o very_o little_a bour_o which_o otherwise_o be_v think_v to_o be_v impossible_a or_o else_o to_o be_v exceed_o hard_a and_o not_o to_o be_v unfold_v but_o with_o much_o toil_n and_o loss_n of_o time_n thomas_n hariottus_n a_o most_o skilful_a geometrician_n be_v the_o first_o who_o teach_v man_n to_o find_v out_o the_o arpha_n of_o a_o spherical_a triangle_n or_o the_o quantity_n of_o a_o solid_a angle_n no_o man_n before_o he_o attain_v this_o the_o ignorance_n of_o this_o proposition_n deceive_v aristotle_n in_o his_o l._n 3._o de_fw-la caelum_fw-la c._n 8._o suppose_v that_o a_o solid_a place_n can_v be_v complete_v by_o a_o pyramid_n and_o petrus_n ramus_n commit_v the_o same_o error_n 16._o &_o 4._o lib._n of_o his_o geometry_n who_o affim_v the_o same_o thing_n may_v be_v do_v also_o by_o a_o octaedron_n he_o teach_v also_o to_o find_v out_o the_o proportion_n of_o a_o segment_n of_o a_o circle_n by_o that_o way_n which_o for_o subtle_n and_o accurate_a truth_n be_v equal_a to_o archimedes_n way_n prop._n 31._o and_o 33_o lib._n de_fw-fr conoidib_n and_o for_o easiness_n be_v far_o beyond_o it_o thus_o far_o brig_n to_o these_o we_o may_v add_v those_o thing_n that_o the_o most_o famous_a gulielmus_fw-la avianus_n rector_n of_o the_o college_n thoman_n at_o lipsia_n my_o honour_a friend_n of_o his_o own_o invention_n have_v insert_v in_o his_o universal_a directory_n part._n four_o nothing_o be_v want_v in_o practical_a philosophy_n and_o history_n practical_a philosophy_n without_o all_o doubt_n be_v in_o the_o same_o condition_n for_o shall_v we_o read_v the_o book_n write_v upon_o this_o subject_n by_o lipsius_n guazzus_n althusus_n thomas_n henricus_n timple_a keckerman_n donaldson_n etc._n etc._n who_o write_v in_o latin_a or_o verulam_n montanus_n the_o most_o reverend_a hall_n robinson_n feltham_n gentius_n wright_n who_o write_v in_o french_a or_o english_a and_o shall_v add_v thereunto_o what_o verulam_n have_v write_v in_o his_o augmentation_n of_o learning_n we_o shall_v find_v that_o seneca_n epictetus_n plutarch_n and_o other_o of_o the_o ancient_n fall_v short_a of_o they_o many_o degree_n as_o for_o the_o military_a art_n which_o be_v part_n of_o politic_n the_o roman_n surpass_v the_o greek_n therein_o 1_o and_o raughleigh_n be_v report_v to_o have_v show_v that_o the_o roman_n be_v surpass_v by_o the_o english_a in_o edward_n the_o three_o and_o henry_n the_o five_o his_o day_n antiquity_n it_o be_v a_o question_n whether_o the_o low-countries_n fall_v short_a of_o antiquity_n hunniades_n temincharius_n scanderbag_n ziska_n polislaus_n of_o poland_n henricus_fw-la m._n king_n of_o france_n frederick_n or_o nassau_n etc._n etc._n nay_o be_v compare_v with_o julius_n cesar._n for_o he_o fight_v forty_o seven_o battle_n with_o success_n and_o be_v never_o put_v to_o the_o worst_a except_o in_o the_o russian_a war_n by_o the_o run_v away_o of_o one_o of_o the_o palatinate_n but_o of_o the_o other_o compare_v to_o alexander_n the_o great_a pytheus_n write_v thus_o which_o of_o you_o two_o the_o garland_n first_o shall_v have_v the_o warlike_a world_n long_o strive_v at_o last_o it_o give_v the_o same_o to_o thou_o henry_n by_o death_n thou_o be_v so_o make_v at_o once_o the_o first_o captain_n and_o last_v who_o of_o the_o antiens_fw-la better_n know_v the_o art_n of_o fortification_n than_o the_o dutch_a and_o italian_n do_v who_o use_v more_o noble_a stratagem_n than_o the_o low_a country_n in_o take_v breda_n and_o zutphane_n than_o the_o spaniard_n do_v in_o the_o interception_n of_o amboina_fw-la and_o the_o english_a in_o the_o conquer_a of_o the_o thunder_a navy_n and_o as_o for_o fight_v at_o sea_n not_o despise_v other_o nation_n the_o dutch_a confederate_n have_v the_o preeminence_n give_v to_o they_o in_o many_o man_n judgement_n they_o will_v sail_v to_o heaven_n with_o their_o ship_n if_o man_n can_v sail_v thither_o history_n be_v three_o fold_n natural_a ecclesiastical_a and_o civil_a of_o that_o we_o speak_v