Selected quad for the lemma: earth_n

Word A	Word B	Word C	Word D	Occurrence	Frequency Band	MI	MI Band	Prominent
earth_n	great_a	sun_n	time_n	5,222	5	4.3412	3	true

Text snippets containing the quad

ID	Title	Author	Corrected Date of Publication (TCP Date of Publication)	STC	Words	Pages
A93028	The anatomy of Urania practica or, a short mathematicall discourse; laying open the errors and impertinencies delivered in a treatise lately published by Mr. Vincent Wing, and Mr. William Leybourne, under the title of Urania practica. By Jeremy Shakerley philomath.	Shakerley, Jeremy, fl. 1651.	1649 (1649)	Wing S2911; Thomason E1366_1; ESTC R209254	23,878	48

three_o this_o angle_n differ_v from_o the_o former_a bpg_n to_o which_o it_o be_v assume_v equal_a only_a 10_o three_o nor_o in_o this_o practice_n be_v the_o difference_n ever_o great_a the_o like_a may_v have_v be_v say_v of_o the_o former_a theorem_a but_o that_o the_o difference_n which_o be_v here_o so_o contemptible_a be_v there_o far_o small_a and_o can_v in_o neither_o of_o they_o though_o with_o the_o most_o scrupulous_a leave_v any_o scruple_n of_o the_o certainty_n of_o our_o demonstration_n this_o theorem_a be_v the_o ground_n of_o the_o 148._o precept_n of_o the_o rudolphine_n table_n who_o word_n run_v thus_o conjice_n in_o unam_fw-la summam_fw-la parallax_n horizontales_fw-la solis_fw-la &_o lunae_fw-la ab_fw-la hac_fw-la summâ_fw-la abjiciatur_fw-la semidiamiter_n solis_fw-la apparens_fw-la relinquitur_fw-la sem_fw-mi diameter_n umbrae_fw-la justa_fw-la ad_fw-la tempus_fw-la which_o be_v the_o same_o our_o theorem_a do_v require_v i_o may_v here_o show_v iii_o that_o if_o the_o cone_n of_o the_o shadow_n be_v so_o continue_v beyond_o the_o earth_n that_o the_o diameter_n of_o the_o sun_n be_v the_o base_a thereof_o and_o the_o centre_n of_o the_o moon_n be_v in_o the_o axe_n thereof_o betwixt_o the_o earth_n and_o the_o sun_n the_o sum_n of_o her_o horizontall_a parallax_n and_o the_o semiangle_n of_o the_o cone_n be_v equal_a to_o the_o apparent_a semidiameter_n of_o the_o cone_n in_o that_o distance_n four_o that_o the_o difference_n betwixt_o the_o apparent_a semidiameter_n of_o the_o shadow_n and_o the_o horizontall_a parallax_n of_o the_o moon_n in_o the_o shadow_n that_o be_v the_o semiangle_n of_o the_o cone_n of_o the_o shadow_n in_o the_o same_o distance_n of_o the_o sun_n from_o the_o earth_n be_v still_o the_o same_o and_o receive_v no_o change_n from_o the_o moon_n vary_v her_o distance_n from_o the_o earth_n v._o that_o it_o be_v impossible_a for_o any_o planet_n or_o star_n that_o be_v situate_a without_o the_o earth_n to_o be_v 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synopsis_n the_o number_n whereof_o we_o have_v take_v from_o our_o author_n table_n i._o ☉_o apog_n ☽_o apog_n  _fw-fr min._n sec._n  _fw-fr the_o semidiameter_n of_o the_o sun_n 15_o 0_o age_n the_o horizontal_n parallax_n of_o the_o sun_n 3_o 0_o agf_n the_o semiang_n of_o the_o cone_n of_o the_o shall_v 12_o 0_o fge_n ade_n the_o horizontal_n paral._n of_o the_o moon_n 59_o 9_o bhg_n the_o semidiameter_n of_o the_o shadow_n 43_o 0_o hgn_n the_o semiangle_n of_o the_o cone_n 16_o 9_o onp_n ade_n differ_v from_o the_o former_a 4_o min._n 9_o sec_fw-la whereto_o it_o shall_v be_v equal_a ii_o ☉_o apog_n ☽_o perig._n the_o semidiameter_n of_o the_o sun_n 15′_n 0″_n agf_n the_o horizontall_a paral._n of_o the_o sun_n 3_o 0_o agf_n the_o semiangle_n of_o the_o cone_n 12_o 0_o fge_n ade_n the_o horizontal_n paral._n of_o the_o moon_n 62_o 39_o bpg_n the_o semidiameter_n of_o the_o shadow_n 47_o 0_o bpk_n the_o semiangle_n of_o the_o cone_n 15_o 39_o kpg_n ade_n differ_v from_o the_o former_a 3_o min._n 39_o sec_fw-la whereto_o it_o shall_v be_v equal_a iii_o ☉_o perig._n ☽_o apog_n the_o semidiameter_n of_o the_o sun_n 15′_n 30″_n the_o horizontall_a parallax_n of_o the_o sun_n 3_o 0_o the_o semiangle_n of_o the_o cone_n 12_o 30_o the_o horizontall_a parallax_n of_o the_o moon_n 59_o 9_o the_o semidiameter_n of_o the_o shadow_n correct_v 42_o 32_o the_o semiangle_n of_o the_o cone_n 16_o 37_o differ_v from_o the_o former_a 4_o min._n 7_o sec_fw-la whereto_o it_o shall_v be_v equal_a four_o ☉_o perig._n ☽_o perig._n the_o semidiameter_n of_o the_o sun_n 15_o 30_o the_o horizontall_a parallax_n of_o the_o sun_n 3_o 0_o the_o semiangle_n of_o the_o cone_n 12_o 30_o the_o horizontall_a parallax_n of_o the_o moon_n 62_o 39_o the_o semidiameter_n of_o the_o shadow_n correct_v 46_o 32_o the_o semiangle_n of_o the_o cone_n 16_o 7_o differ_v from_o the_o former_a 3_o min._n 37_o sec_fw-la whereto_o it_o shall_v be_v equal_a thus_o be_v our_o author_n table_n unmask_v and_o 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of_o the_o inferior_a planet_n find_v in_o their_o journey_n a_o burn_a point_n wherein_o the_o several_a ray_n concur_v and_o invert_v the_o species_n of_o the_o object_n so_o that_o hereby_o the_o property_n of_o the_o sun_n parallax_n come_v to_o change_v but_o i_o never_o hear_v that_o this_o be_v the_o confirm_a experiment_n of_o any_o optist_n and_o be_o of_o opinion_n that_o our_o author_n never_o dream_v they_o shall_v have_v stand_v in_o need_n of_o such_o supporter_n as_o these_o for_o their_o new_a table_n yet_o have_v they_o in_o the_o title_n page_n speak_v more_o true_o than_o they_o think_v in_o these_o word_n nothing_o of_o this_o nature_n be_v extant_a in_o the_o english_a tongue_n for_o scarce_o shall_v we_o find_v any_o such_o absurdity_n drop_v from_o a_o pen_n that_o profess_v to_o be_v able_a to_o perform_v so_o much_o i_o may_v here_o urge_v the_o diagram_n further_o and_o from_o

unequal_a progression_n of_o the_o sun_n in_o the_o zodiac_n occosion_v by_o his_o eccentricity_n the_o difference_n of_o which_o diurnal_a arch_n from_o the_o arch_n of_o his_o diurnal_a mean_a motion_n 59_o m._n 8_o s_o c_o be_v the_o diurnal_a aequation_n yet_o must_v both_o this_o and_o the_o former_a part_n of_o aequation_n be_v convert_v into_o time_n before_o it_o be_v fit_a for_o use_v yet_o have_v tycho_n and_o the_o most_o of_o his_o follower_n reject_v the_o late_a part_n of_o the_o equation_n who_o authority_n have_v also_o draw_v our_o author_n into_o their_o number_n none_o of_o they_o show_v any_o reason_n for_o their_o so_o do_v herein_o but_o this_o that_o their_o restitution_n of_o the_o moon_n motion_n and_o the_o observation_n of_o eclipse_n do_v seem_v to_o require_v it_o but_o this_o empeiricall_a way_n can_v never_o be_v true_a because_o it_o satisfy_v not_o the_o exactness_n of_o demonstration_n and_o who_o can_v affirm_v that_o they_o have_v so_o restore_v the_o celestial_a motion_n as_o that_o we_o may_v rather_o trust_v they_o then_o our_o alone_a sense_n experience_n be_v indeed_o the_o lady_n precedent_n of_o vrania_n republic_n and_o merit_n regard_v so_o long_o as_o she_o prosecute_v the_o mandate_n of_o demonstration_n the_o supreme_a authority_n but_o when_o once_o their_o result_v agree_v not_o experience_n must_v yield_v and_o resign_v her_o power_n to_o demonstration_n chap._n viii_o our_o author_n determination_n of_o the_o distance_n of_o celestial_a body_n from_o the_o earth_n examine_v i_o shall_v not_o need_v to_o particularize_v the_o star_n and_o planet_n several_o a_o example-will_a be_v sufficient_a to_o demonstrate_v the_o insufficienty_n of_o the_o rest_n we_o begin_v with_o the_o earth_n who_o dimension_n since_o our_o author_n have_v not_o here_o set_v down_o we_o must_v borrow_v from_o another_o place_n in_o master_n wing_n almanac_n 16●8_n the_o circumference_n be_v give_v 21600._o mile_n and_o to_o this_o the_o conversion_n of_o degree_n into_o mile_n vran._n pract._n par_fw-fr 5_o cha_z 3_o do_v agree_v whence_o he_o have_v form_v the_o semidiamiter_n 3436._o mile_n which_o nevertheless_o be_v not_o exact_o true_a for_o as_o 314159._o be_v to_o 100000._o of_o this_o see_v ludolphus_n van_fw-mi culen_n and_o lansberge_n de_fw-fr cyclemetria_n so_o be_v the_o cireumference_n 21600._o to_o the_o diameter_n 6875½_n and_o so_o be_v the_o semidiamiter_n 3437¾_n but_o we_o will_v take_v his_o number_n 3436._o and_o see_v how_o the_o rest_n agree_v thereto_o we_o find_v cap._n 4._o par_fw-fr 4._o that_o the_o mean_a distance_n of_o saturn_n from_o the_o earth_n be_v according_a to_o argol_n 10571._o semidiameter_n which_o make_v if_o we_o will_v believe_v our_o author_n 9091960._o mile_n but_o he_o that_o shall_v multiply_v the_o number_n of_o semidiameter_n 10571._o by_o the_o number_n of_o mile_n in_o one_o semidiameter_n 3436._o shall_v find_v another_o number_n namely_o 36321956._o so_o likewise_o in_o jupiter_n 3990._o multiply_v by_o 3436._o give_v 13709640._o not_o 343120_o and_o in_o mars_n also_o 1745._o multiply_v by_o 3436._o give_v 5995820._o not_o 1500700_o in_o the_o sun_n the_o distance_n in_o semidiameter_n of_o the_o earth_n be_v not_o give_v the_o distance_n be_v in_o mile_n 989000_o which_o be_v divide_v by_o 3436._o give_v the_o distance_n in_o semidiameter_n 287⅔_n which_o give_v the_o horizontall_a parallax_n almost_o 12_o min._n four_o time_n as_o big_a as_o that_o which_o our_o author_n have_v give_v in_o their_o table_n of_o eclipse_n i_o will_v spend_v no_o more_o time_n in_o reckon_v up_o the_o rest_n i_o hope_v these_o error_n obvious_a to_o every_o schoolboy_n be_v sufficient_a to_o manifest_v the_o likeness_n and_o 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d of_o the_o rest_n but_o in_o regard_v our_o author_n be_v so_o careful_a of_o the_o common_a good_a that_o over_o and_o beside_o this_o work_n of_o urania_n practica_fw-la master_n wing_n have_v public_o invite_v those_o that_o desire_v to_o be_v satisfy_v in_o any_o thing_n touch_v the_o mathematics_n to_o repair_v to_o his_o judgement_n for_o satisfaction_n and_o because_o he_o be_v hold_v a_o man_n of_o much_o dexterity_n in_o these_o science_n i_o shall_v make_v bold_a to_o propound_v unto_o he_o and_o his_o 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d master_n william_n leybourne_n a_o question_n or_o two_o and_o upon_o their_o answer_n shall_v be_v ready_a to_o content_v they_o for_o their_o pain_n 1._o i_o shall_v inquire_v how_o the_o proportion_n of_o the_o fix_a star_n to_o the_o earth_n page_n 173._o be_v gather_v and_o a_o demonstration_n that_o ●hose_v of_o the_o five_o several_a magnitude_n be_v so_o many_o time_n great_a than_o the_o earth_n as_o be_v there_o set_v down_o and_o also_o how_o those_o of_o the_o six_o magnitude_n be_v find_v to_o be_v less_o than_o the_o earth_n i_o shall_v also_o demand_v how_o those_o of_o every_o several_a magnitude_n be_v approve_v to_o be_v so_o many_o in_o number_n as_o they_o be_v there_o give_v and_o no_o more_o 2._o i_o shall_v desire_v to_o know_v how_o and_o in_o what_o man_v the_o ancient_n have_v demonstrate_v the_o distance_n of_o the_o heaven_n by_o fix_a star_n from_o the_o earth_n to_o be_v 130715000_o mile_n or_o indeed_o whether_o any_o such_o demonstration_n can_v be_v make_v now_o that_o the_o sphere_n be_v find_v no_o less_o fluid_a and_o penetrable_a than_o this_o air_n of_o we_o 3._o i_o shall_v desire_v to_o know_v how_o the_o planet_n distance_n from_o the_o earth_n be_v gather_v or_o whether_o the_o analogy_n of_o tycho_n and_o the_o so_o much_o mention_v argol_n be_v ground_v upon_o sufficient_a principle_n or_o no_o or_o whether_o those_o apparent_a diameter_n of_o the_o planet_n which_o our_o author_n have_v borrow_v from_o tycho_n be_v consentaneous_a to_o the_o truth_n or_o no_o it_o be_v propable_a that_o the_o ray_n of_o the_o star_n illuminate_v the_o air_n they_o pass_v through_o make_v they_o appear_v far_o big_a than_o indeed_o they_o be_v and_o let_v my_o author_n know_v that_o i_o will_v not_o suffer_v myself_o to_o be_v overrule_v with_o the_o authority_n of_o any_o writer_n unless_o his_o reason_n have_v a_o great_a authority_n than_o his_o name_n and_o judgement_n tread_v on_o the_o heel_n of_o invention_n chap._n ix_o a_o brief_a summary_n of_o some_o other_o defect_n and_o imperfection_n but_o my_o room_n grow_v narrow_a and_o so_o ty_v my_o discourse_n to_o a_o period_n good_a reader_n be_v please_v to_o take_v the_o rest_n of_o my_o collection_n in_o a_o bundle_n i_o shall_v only_o tell_v you_o what_o it_o contain_v and_o will_v if_o my_o profess_a brevity_n have_v grant_v i_o leave_v have_v lay_v open_a the_o several_a piece_n to_o your_o view_n first_o i_o s●y_v that_o by_o our_o author_n rule_n the_o sun_n altitude_n can_v be_v gather_v universal_o for_o though_o the_o example_n pag_n 99_o be_v true_o wrought_v yet_o if_o we_o turn_v to_o the_o fix_a book_n for_o a_o precept_n we_o shall_v find_v none_o but_o only_o a_o few_o concise_a table_n calculate_v for_o some_o latitude_n which_o be_v too_o narrow_a and_o insufficient_a for_o he_o who_o intention_n be_v for_o narrow_a and_o insufficient_a for_o he_o who_o intention_n be_v for_o generality_n and_o exactness_n second_o the_o tedious_a calculation_n of_o the_o moon_n paralax_n in_o her_o circle_n of_o altitude_n detract_v from_o the_o praise_n of_o the_o book_n and_o may_v have_v be_v with_o far_o more_o ease_n and_o by_o the_o only_a help_n of_o the_o logarithm_n supply_v thus_o as_o the_o radius_fw-la to_o the_o sine_fw-la of_o the_o horizontall_a parallax_n so_o the_o cousin_n of_o the_o luminury_n altitude_n to_o the_o sine_fw-la of_o the_o parallax_n in_o that_o altitude_n this_o way_n be_v no_o less_o demonstrative_a and_o far_o more_o easy_a than_o the_o other_o which_o our_o author_n have_v use_v pag._n 99_o 3._o that_o the_o table_n of_o hourly_a motion_n of_o the_o moon_n from_o the_o sun_n pag._n 118._o can_v be_v exact_o true_a because_o it_o suppose_v the_o sun_n motion_n to_o be_v equal_a and_o still_o of_o the_o same_o quantity_n which_o nevertheless_o by_o reason_n of_o his_o eccentricity_n be_v not_o so_o nor_o can_v be_v affirm_v 4._o the_o herozontall_a parallax_n of_o the_o sun_n be_v not_o still_o 3._o min._n o._n sec_fw-la according_a to_o the_o paper_n adjoin_v to_o the_o end_n of_o pag._n 118._o but_o if_o that_o be_v his_o parallax_n in_o his_o mean_a distance_n the_o apogaean_a parallax_n be_v 2._o min._n 53._o sec_fw-la the_o perigaean_a parallax_n 3._o min._n 7._o sec_fw-la according_a to_o our_o author_n eccentricity_n 5._o i_o affirm_v no_o eclipse_n of_o sun_n or_o moon_n can_v be_v true_o calculate_v if_o we_o use_v no_o other_o rule_n than_o what_o our_o author_n have_v give_v we_o for_o it_o appear_v not_o whether_o they_o have_v use_v any_o

motion_n of_o mars_n to_o these_o reason_n i_o may_v add_v also_o the_o continue_a observation_n of_o tycho_n in_o eclipse_n which_o clear_a the_o moon_n of_o any_o secondary_a inequality_n at_o the_o time_n of_o defect_n which_o be_v the_o true_a not_o mean_a syzigia_n of_o the_o luminary_n but_o to_o this_o i_o can_v impute_v any_o great_a force_n the_o difference_n be_v so_o little_a as_o it_o be_v hardly_o to_o be_v distinguish_v from_o those_o many_o irregularity_n which_o attend_v on_o the_o propinquity_n of_o the_o moon_n to_o the_o earth_n and_o of_o we_o in_o these_o northern_a region_n by_o reason_n of_o the_o great_a obliquity_n of_o our_o sphere_n more_o perceive_v nor_o can_v we_o as_o yet_o think_v the_o manifold_a motion_n of_o this_o inconstant_a torrella_n so_o thorough_o know_v as_o we_o can_v for_o the_o present_a build_v any_o certainty_n hereon_o i_o doubt_v not_o but_o that_o astronomia_fw-la brittannica_fw-la now_o by_o the_o blessing_n of_o god_n almost_o bring_v to_o perfection_n will_v short_o take_v away_o many_o doubt_n herein_o which_o have_v hithereto_o puzzle_v divers_a artist_n and_o i_o doubt_v not_o but_o i_o shall_v discover_v some_o thing_n concern_v the_o moon_n motion_n which_o may_v be_v useful_a for_o astronomer_n in_o this_o subject_n and_o more_o rational_a than_o those_o impertinency_n our_o author_n have_v here_o deliver_v for_o they_o be_v out_o of_o all_o possibility_n of_o be_v excuse_v that_o in_o such_o a_o clear_a sunshine_n will_v impudent_o adventure_v to_o set_v out_o their_o dim_a lantern_n for_o a_o guide_n to_o the_o young_a practitioner_n through_o these_o mysterious_a labyrinth_n especial_o such_o a_o worthy_a luminary_n as_o kepler_n have_v long_o since_o put_v all_o out_o of_o doubt_n and_o teach_v truth_n to_o move_v in_o she_o own_o orb_n not_o impedit_v by_o the_o adventitious_a remora_n of_o humane_a fancy_n chap._n vi_o a_o demonstrative_a examination_n of_o our_o author_n table_n of_o eclipse_n we_o now_o come_v to_o the_o touch_n stone_n of_o our_o author_n judgement_n and_o will_v by_o god_n help_n lay_v open_a those_o many_o absurdity_n which_o will_v follow_v shall_v we_o admit_v of_o our_o author_n table_n this_o speculation_n be_v not_o ordinary_a for_o obvious_a to_o every_o young_a practitioner_n yea_o the_o intricacy_n hereof_o have_v entangle_v many_o profounder_n artist_n than_o either_o master_n wing_n master_n l●y●ourn_n or_o myself_o few_o of_o those_o many_o author_n ●_o ch_o to_o this_o day_n have_v appear_v the_o public_a champion_n of_o urania_n have_v have_v a_o full_a knowledge_n hereof_o except_v kepler_n the_o late_a ballialdus_fw-la and_o the_o noble_a genius_n of_o our_o worthy_a countryman_n master_n jeremy_n horrox_n 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d from_o who_o remains_o i_o have_v gather_v the_o most_o of_o what_o i_o shall_v write_v in_o this_o chapter_n those_o who_o have_v presume_v of_o their_o own_o sufficiency_n to_o be_v able_a to_o 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they_o be_v not_o 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d precise_o so_o for_o i_o shall_v show_v how_o inconsiderable_a a_o difference_n this_o be_v and_o how_o far_o it_o avoid_v our_o observation_n for_o if_o we_o take_v the_o angle_n ade_n or_o which_o be_v the_o same_o kpg_n to_o be_v 12_o min._n o_o sec_fw-la which_o follow_v from_o our_o author_n number_n for_o by_o the_o first_o theorem_a age_n 15_o min._n o_o sec_fw-la agf_n 3_o min._n o_o sec_fw-la fge_n ade_n 12_o min._n o_o sec_fw-la the_o natural_a tangent_fw-la thereof_o be_v 349067_o kg_n we_o shall_v also_o from_o our_o author_n table_n take_v the_o apparent_a semidiameter_n of_o the_o shadow_n cbp_n or_o bpk_v to_o be_v 47_o min._n o_o sec_fw-la which_o be_v the_o great_a they_o set_v down_o it_o be_v tangent_fw-la be_v bk_n 1367260._o the_o sum_n of_o the_o angle_n be_v bpg_n 59_o min._n o_o sec_fw-la the_o sum_n of_o the_o tangent_n be_v bg_n 1716327._o whereto_o answer_v the_o angle_n bcg_n 58_o min._n 59_o sec_fw-la 50_o