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truth_n believe_v know_v see_v 4,378 5 3.2373 3 true
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ID Title Author Corrected Date of Publication (TCP Date of Publication) STC Words Pages
A66633 Examen astronomiæ Carolinæ: T.S. or, a short mathematicall discourse containing, some animadversions upon Mr. Thomas Streetes astronomicall tables of the cœlestial motions wherein his errours and mistakes are clearly detected, and the author hereof justly vindicated from his unjust aspersions. (In an appenidx to the said astronomical treatise.) By Vincent Wing, mathemat. Wing, Vincent, 1619-1668. 1665 (1665) Wing W2990; ESTC R224074 18,947 45

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tie_v they_o always_o to_o one_o certain_a and_o determinate_a point_n therein_o which_o be_v so_o far_o from_o reason_n and_o observation_n that_o manifold_a error_n and_o incongruety_n do_v arise_v thereby_o as_o we_o shall_v afterward_o show_v in_o the_o mean_a time_n i_o must_v tell_v he_o there_o be_v no_o real_a or_o sufficient_a ground_n for_o his_o supposition_n see_v daily_a experience_n evince_v the_o contrary_a and_o tell_v we_o and_o all_o other_o that_o have_v eye_n that_o their_o motion_n have_v no_o such_o dependence_n upon_o the_o eight_o orb_n which_o be_v immovable_a and_o infinite_o remove_v above_o they_o but_o be_v move_v by_o a_o inward_a move_a force_n which_o doubtless_o be_v the_o great_a and_o glorious_a body_n of_o the_o sun_n place_v in_o the_o centre_n of_o their_o vortex_n there_o be_v rest_n in_o the_o superficies_n or_o sphere_n of_o the_o fix_a star_n and_o motion_n in_o the_o intermediate_v part_n of_o the_o planetary_a systeme_n which_o appear_v 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the_o divine_a urania_n of_o her_o comely_a furniture_n but_o rather_o to_o deck_v she_o in_o better_a feather_n however_o he_o may_v yet_o do_v well_o for_o his_o credit-sake_n to_o show_v some_o reason_n for_o his_o do_n and_o tell_v his_o reader_n for_o what_o cause_n it_o be_v that_o he_o so_o much_o dissent_v both_o from_o the_o heaven_n and_o all_o other_o astronomer_n which_o if_o he_o please_v public_o to_o communicate_v we_o shall_v be_v ready_a to_o gratify_v he_o for_o his_o pain_n according_a to_o the_o utmost_a of_o his_o demerit_n in_o the_o mean_a time_n let_v he_o but_o serious_o peruse_v the_o observation_n of_o that_o ever_o honour_a dane_n tycho_n brahe_n and_o diligent_o compare_v they_o with_o the_o ancient_a and_o modern_a observation_n and_o he_o shall_v find_v the_o progression_n of_o the_o fix_a star_n equal_a to_o the_o praecession_n of_o the_o equinoctial_a to_o be_v annual_o 51_o second_o or_o thereabouts_o which_o quantity_n the_o learned_a kepler_n most_o 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into_o astronomy_n when_o there_o be_v neither_o reason_n nor_o sufficient_a argument_n convince_a we_o of_o the_o necessity_n of_o the_o attempt_n be_v magnum_fw-la et_fw-la manifestum_fw-la insaniae_fw-la genus_fw-la the_o great_a folly_n in_o the_o world_n and_o ought_v not_o to_o be_v pass_v over_o in_o silence_n si_fw-mi proximus_fw-la deliquit_fw-la commone_fw-it eum_fw-la errati_fw-la sect_n iu._n wherein_o be_v show_v that_o if_o the_o aphelion_n and_o nodes_fw-la of_o the_o planet_n be_v always_o fix_v it_o be_v then_o altogether_o impossible_a for_o astronomer_n to_o determine_v exact_o the_o true_a place_n of_o the_o planet_n in_o all_o age_n our_o antagonist_n contrary_a to_o the_o observation_n of_o all_o astronomer_n both_o ancient_a and_o modern_a have_v fix_v the_o aphelion_n and_o nodes_fw-la of_o the_o planet_n under_o the_o eight_o sphere_n and_o so_o
and_o costly_a instrument_n which_o for_o excellency_n be_v such_o as_o never_o any_o age_n afford_v all_o which_o tychonick_a observation_n of_o the_o sun_n true_a place_n be_v faithful_o compare_v with_o mr._n street_n table_n and_o my_o own_o i_o shall_v hereunder_o insert_v ut_fw-la ex_fw-la tantâ_fw-la observationum_fw-la harmoniâ_fw-la inquit_fw-la longomontanus_n lib._n 1._o theoric_n cap._n 2._o quae_fw-la in_fw-la tychonicis_fw-la apparet_fw-la cum_fw-la interpolatâ_fw-la atque_fw-la hiante_fw-la veterum_fw-la dissonantiâ_fw-la comparata_fw-la posteritas_fw-la justam_fw-la occasionem_fw-la nanciscatur_fw-la d._n tychonis_n singularem_fw-la industriam_fw-la hic_fw-la &_o ubique_fw-la gratâ_fw-la ment_fw-la agnoscendi_fw-la etc._n etc._n and_o then_o speak_v of_o the_o sun_n altitude_n he_o show_v his_o great_a care_n therein_o quae_fw-la autem_fw-la altitudines_fw-la meridianae_fw-la solis_fw-la nunc_fw-la ex_fw-la tychone_n sequuntur_fw-la duobus_fw-la &_o interdum_fw-la etiam_fw-la tribus_fw-la maximis_fw-la &_o absolutissimis_fw-la quadrantibus_fw-la et_fw-la insuper_fw-la maximo_fw-la circulo_fw-la aequatorio_n declinationis_fw-la caelitus_fw-la acceptae_fw-la atque_fw-la inter_fw-la se_fw-la limitatae_fw-la sunt_fw-la adeont_fw-la nisi_fw-la aere_fw-la aliquando_fw-la fortassis_fw-la densiore_fw-la omnem_fw-la sensibilem_fw-la errorem_fw-la excludant_fw-la etc._n etc._n so_o that_o from_o hence_o we_o see_v the_o admirable_a care_n and_o industry_n of_o tycho_n in_o make_v his_o observation_n and_o beside_o i_o think_v mr._n street_n will_v grant_v this_o that_o never_o any_o astronomer_n before_o or_o since_o his_o time_n be_v ever_o so_o complete_o furnish_v with_o such_o rare_a exquisite_a and_o true_o admire_a instrument_n as_o the_o say_v noble_a lord_n of_o knudstrop_n t._n b._n who_o expend_v no_o less_o than_o 200_o attic_a talent_n of_o silver_n towards_o the_o restauration_n of_o astronomy_n and_o rectify_v the_o true_a place_n of_o the_o sun_n but_o will_v our_o antagonist_n but_o acknowledge_v that_o which_o the_o noble_a tycho_n the_o learned_a kepler_n longomontanus_n gassendus_fw-la bullialdus_n and_o all_o our_o modern_a astronomer_n have_v observe_v about_o the_o refraction_n of_o the_o star_n he_o will_v never_o seek_v for_o any_o help_n from_o the_o ♂_o ☽_o ♀_o to_n assist_v he_o see_v it_o be_v so_o near_o the_o western_a horizon_n and_o venus_n in_o less_o altitude_n than_o the_o sun_n so_o that_o if_o any_o truth_n may_v be_v have_v from_o those_o most_o excellent_a observation_n that_o several_a astronomer_n have_v make_v she_o must_v then_o of_o necessity_n be_v subject_a to_o a_o great_a refraction_n than_o the_o sun_n though_o mr._n street_n will_v persuade_v the_o contrary_a in_o the_o 25_o page_n of_o his_o appendix_n and_o the_o rather_o in_o respect_n of_o the_o crassitude_n of_o the_o aereall-sphaere_n but_o this_o our_o author_n never_o so_o much_o as_o consider_v or_o at_o least_o not_o according_a to_o the_o rule_n of_o art_n as_o may_v be_v see_v in_o the_o 76_o page_n of_o his_o book_n where_o upon_o this_o account_n he_o have_v quite_o lose_v himself_o and_o so_o be_v not_o able_a to_o perform_v what_o peradventure_o he_o may_v otherwise_o intend_v but_o because_o he_o may_v still_o contend_v about_o his_o do_n herein_o though_o to_o as_o little_a purpose_n as_o to_o throw_v stone_n against_o the_o wind_n i_o shall_v here_o before_o i_o come_v to_o demonstration_n show_v from_o many_o select_a observation_n that_o the_o refraction_n of_o venus_n from_o the_o sun_n may_v then_o in_o all_o probability_n be_v as_o great_a or_o great_a than_o the_o parallax_n of_o venus_n from_o the_o sun_n but_o if_o our_o author_n will_v not_o understand_v the_o truth_n thereof_o what_o better_a character_n can_v we_o give_v he_o then_o that_o of_o horace_n to_o one_o in_o the_o like_a case_n hic_fw-la nigerest_n hunc_fw-la tu_fw-la roman_a caveo_fw-la now_o albeit_o the_o refraction_n of_o the_o star_n be_v in_o some_o measure_n demonstrate_v in_o the_o optic_n of_o vitellion_n alhazen_n and_o other_o yet_o it_o be_v never_o discover_v to_o any_o purpose_n until_o the_o rise_n of_o that_o great_a luminary_n tycho_n brahe_n so_o that_o without_o controversy_n those_o observation_n of_o the_o sun_n true_a place_n make_v by_o the_o ancient_a astronomer_n must_v needs_o come_v much_o short_a of_o truth_n which_o may_v be_v a_o good_a monitum_fw-la to_o mr._n t._n s._n all_o which_o at_o this_o day_n we_o find_v full_o make_v good_a by_o the_o collation_n of_o manifold_a observation_n and_o therefore_o say_v kepler_n in_o astron_n optic_n pag._n 143._o magno_fw-la astronomiae_n damno_fw-la in_o investigatione_n motûs_fw-la solis_fw-la &_o aequinoctiorum_fw-la factum_fw-la est_fw-la ut_fw-la refractiones_fw-la à_fw-la veterlbus_n fuerint_fw-la veglectae_fw-la etc._n etc._n yet_o pliny_n give_v we_o a_o clear_a testimony_n of_o the_o truth_n thereof_o lib._n 11._o hist_o nat._n cap._n 13._o in_o these_o word_n quâ_fw-la nam_fw-la ratione_fw-la cum_fw-la solis_fw-la exortu_fw-la umbra_fw-la illa_fw-la hebetatrix_fw-la sub_fw-la terra_fw-la esse_fw-la debeat_fw-la semel_fw-la jam_fw-la acciderit_fw-la ut_fw-la in_o occasu_fw-la luna_fw-la deficeret_fw-la utroque_fw-la super_fw-la terram_fw-la conspicuo_fw-la sidere_fw-la hence_o we_o may_v see_v by_o this_o ancient_a observation_n that_o both_o the_o sun_n and_o moon_n when_o they_o be_v in_o opposite_a place_n distant_a one_o from_o another_o a_o perfect_a semicircle_n yet_o for_o their_o refraction_n above_o the_o horizon_n they_o appear_v of_o a_o far_o lesser_a distance_n the_o like_a experiment_n we_o have_v of_o latter_a year_n set_v down_o by_o maestin_n in_o thesibus●e_n ecclipsibus_fw-la publish_v anno_fw-la 1596._o who_o word_n in_o thes_n 55._o be_v these_o anno_fw-la 1590._o die_v 7._o julii_n nos_fw-la hic_fw-la tubingae_n solis_fw-la centro_fw-la supra_fw-la horizontem_fw-la emergente_fw-la vidimus_fw-la lunam_fw-la ab_fw-la austro_fw-la aliquot_fw-la digitis_fw-la jam_fw-la deficientem_fw-la duobus_fw-la penè_fw-la gradibus_fw-la elevatam_fw-la &_o contra_fw-la lunae_fw-la centro_fw-la sub_fw-la occasum_fw-la descendente_fw-la notavimus_fw-la solis_fw-la supra_fw-la ortum_fw-la duorum_fw-la graduum_fw-la altitudinem_fw-la which_o in_o plain_a english_a infer_v thus_o much_o mr._n street_n that_o when_o the_o centre_n of_o the_o sun_n arise_v above_o the_o horizon_n he_o see_v the_o moon_n almost_o two_o degree_n high_a eclipse_v some_o digit_n on_o her_o south_n side_n and_o contrariwise_o when_o the_o centre_n of_o the_o moon_n touch_v the_o western_a horizon_n he_o note_v the_o sun_n altitude_n above_o the_o east_n two_o degree_n and_o yet_o the_o moon_n do_v set_v before_o the_o middle_n of_o the_o eclipse_n hence_o we_o may_v conclude_v that_o the_o refraction_n of_o each_o luminary_n be_v near_o a_o degree_n and_o half_a again_o the_o landgrave_n of_o hessen_n as_o it_o be_v mention_v fol._n 22._o epist_n tychonis_n do_v on_o a_o certain_a night_n most_o exact_o observe_v venus_n to_o stand_v still_o as_o it_o be_v upon_o the_o horizon_n for_o the_o space_n of_o a_o quarter_n of_o a_o hour_n and_o then_o sudden_o to_o vanish_v kepl._n in_o astro_fw-la optic_n bernard_n walter_n in_o libro_fw-la observationum_fw-la testify_v the_o same_o of_o venus_n and_o the_o other_o star_n affirm_v astra_fw-la saepè_fw-la supra_fw-la horizontem_fw-la apparere_fw-la cùmreverâ_fw-la sint_fw-la infra_fw-la the_o star_n oftentimes_o appear_v above_o the_o horizon_n when_o they_o be_v true_o beneath_o it_o but_o let_v we_o hear_v further_o what_o the_o same_o author_n say_v anno_fw-la 1489._o die_v 6._o martii_fw-la circa_fw-la occasum_fw-la solis_fw-la dum_fw-la videlicet_fw-la in_o medio_fw-la caeliesset_fw-la 25._o ♊_o sol_fw-la per_fw-la armillas_fw-la in_o 25°_n 15′_n ♓_o venus_n per_fw-la alium_fw-la circulum_fw-la eclipticâ_fw-la solemn_a dividente_fw-la in_o 27°_n 15′_n ♈_o inuenta_fw-la est_fw-la sed_fw-la circulo_fw-la latitudinis_fw-la solemn_a mediante_fw-la utisolet_fw-la circa_fw-la horizontem_fw-la in_fw-la alio_fw-la loco_fw-la puta_fw-la in_o 25°_n 30′_n ♈_o reperta_fw-la est_fw-la again_o die_v 7._o martii_fw-la sol_fw-la per_fw-la aspectum_fw-la armillarum_fw-la 26°_n 15′_n ♓_o venus_n ex_fw-la ecliptica_fw-la 28°_n 15_o ♈_o exit_fw-la circulo_fw-la latitudinis_fw-la 27°_n 38′_n ♈_o and_o the_o reason_n thereof_o you_o may_v have_v in_o these_o word_n item_n ne_fw-la diutius_fw-la lecturos_fw-la lateat_fw-la quomodo_fw-la processerim_fw-la quodlocus_fw-la veneris_fw-la quasi_fw-la in_o eodem_fw-la instanti_fw-la adeò_fw-la difformitèr_fw-la repertus_fw-la sit_fw-la est_fw-la not_o andum_fw-la quod_fw-la circa_fw-la horizontem_fw-la astra_fw-la apparent_a propter_fw-la radios_fw-la fractos_fw-la super_fw-la horizontem_fw-la cum_fw-la secundum_fw-la veritatem_fw-la sint_fw-la sub_fw-la eo_fw-la here_o our_o author_n by_o these_o observation_n plain_o show_v that_o the_o place_n of_o venus_n take_v in_o the_o horizon_n be_v sensible_o differ_v from_o her_o place_n in_o the_o heaven_n as_o he_o careful_o experiment_v observe_v it_o mr._n street_n so_o that_o he_o thence_o conclude_v that_o the_o star_n in_o respect_n of_o their_o fract_a ray_n do_v appear_v above_o the_o horizon_n when_o according_a to_o their_o true_a place_n they_o be_v under_o it_o now_o i_o hope_v there_o be_v none_o that_o will_v deny_v the_o truth_n hereof_o but_o such_o as_o
take_v pleasure_n in_o their_o own_o foolish_a fancy_n who_o very_o apt_o verify_v that_o say_n contra_fw-la omnes_fw-la sapere_fw-la disipere_fw-la est_fw-la let_v we_o here_o further_o see_v what_o the_o learned_a maestlin_n have_v observe_v about_o the_o refraction_n of_o the_o star_n and_o especial_o venus_n si_fw-mi nostris_fw-la per_fw-la radium_fw-la astronomicum_fw-la factis_fw-la observationibus_fw-la fides_fw-la sit_fw-la habenda_fw-la non_fw-la rarò_fw-la invenimus_fw-la veneris_fw-la supra_fw-la horizontem_fw-la altioris_fw-la distantiam_fw-la à_fw-la sole_a juxta_fw-la horizontem_fw-la posito_fw-la esse_fw-la notabiliter_fw-la minorem_fw-la quam_fw-la si_fw-la eodem_fw-la die_fw-la ejusdem_fw-la distantia_fw-la à_fw-la sole_a altiore_fw-la &_o è_fw-la vaporibus_fw-la magis_fw-la libero_fw-la caperetur_fw-la ergò_fw-la solis_fw-la altitudo_fw-la per_fw-la vapores_fw-la etiam_fw-la per_fw-la aeris_fw-la super_fw-la ficiem_fw-la altior_fw-la justo_fw-la apparuit_fw-la unde_fw-la &_o ipsum_fw-la &_o alius_fw-la stellas_fw-la similiter_fw-la supra_fw-la horizontem_fw-la apparere_fw-la posse_fw-la cùm_fw-la infra_fw-la adhuc_fw-la sint_fw-la pro_fw-la impossibili_fw-la non_fw-la habemus_fw-la sed_fw-la certò_fw-la concludimus_fw-la moreover_o in_o the_o year_n 1596._o the_o hollander_n navigate_a along_o the_o northern_a ocean_n into_o nova_n zembla_n to_o seek_v a_o passage_n into_o the_o oriental_a sea_n they_o tell_v we_o that_o be_v under_o the_o elevation_n of_o the_o pole_n 76_o deg_fw-la oppress_a by_o a_o night_n three_o month_n long_o in_o a_o frozen-sea_n they_o conclude_v according_a to_o astronomical_a principle_n have_v take_v their_o farewell_n of_o the_o sun_n nou._n 3._o he_o will_v not_o return_v again_o to_o their_o view_n before_o the_o 11_o of_o febr._n 1597._o but_o yet_o it_o so_o happen_v through_o the_o crassitude_n of_o the_o aereal_a sphere_n that_o upon_o the_o 24_o of_o jan._n 17_o day_n before_o the_o due_a time_n they_o see_v the_o supreme_a margin_n of_o the_o sun_n begin_v to_o appear_v in_o the_o very_a point_n of_o the_o meridian_n so_o that_o his_o refraction_n above_o the_o horizon_n be_v above_o 3._o degree_n and_o a_o half_a kepl._n paral._n in_o vitell._n p._n 138._o the_o learned_a hortensius_n speak_v of_o the_o uncertainty_n of_o tychoe_n observation_n of_o the_o place_n of_o venus_n by_o reason_n of_o her_o refraction_n to_o which_o she_o be_v common_o subject_a let_v not_o to_o affirm_v that_o the_o true_a distance_n of_o venus_n from_o the_o sun_n or_o from_o the_o fix_a star_n can_v in_o no_o wise_n be_v determine_v exact_o sed_fw-la pro_fw-la variâ_fw-la altitudine_fw-la nunc_fw-la majorem_fw-la nunc_fw-la minorem_fw-la diversitatem_fw-la inducit_fw-la &_o maximè_fw-la circa_fw-la aequinoctia_fw-la &_o solstitium_fw-la hybernum_fw-la etc._n etc._n which_o be_v excellent_o prove_v by_o the_o observation_n of_o t._n b._n also_o in_o the_o year_n of_o christ_n 1632._o in_o the_o month_n of_o febr._n capt._n t._n j._n winter_v in_o a_o island_n of_o america_n find_v the_o apparent_a time_n of_o the_o sun_n rise_v 20_o min._n soon_o than_o the_o true_a aught_o to_o have_v be_v as_o may_v be_v see_v in_o the_o description_n of_o his_o voyage_n pag._n 64._o whence_o it_o follow_v that_o the_o sun_n refraction_n be_v almost_o 3_o degree_n last_o tycho_n brahe_n so_o diligent_o observe_v the_o just_a quantity_n of_o refraction_n in_o the_o place_n where_o he_o live_v viz._n huenna_n that_o we_o may_v certain_o conclude_v that_o the_o star_n be_v continual_o refract_v in_o and_o about_o the_o horizon_n and_o yet_o not_o in_o all_o place_n alike_o as_o tycho_n experiment_v after_o he_o come_v into_o bohemia_n for_o as_o i_o show_v in_o my_o almanac_n 1663._o in_o montanus_fw-la place_n the_o refraction_n be_v small_a and_o sometime_o almost_o nothing_o in_o place_n near_o the_o sea_n it_o be_v in_o a_o manner_n equal_a at_o all_o time_n of_o the_o year_n and_o sometime_o again_o the_o refraction_n be_v great_a and_o prodigious_a which_o accidental_o may_v happen_v in_o those_o maritime_a part_n where_o the_o air_n be_v gross_a and_o thick_a for_o the_o thick_a and_o full_a of_o vapour_n the_o air_n be_v about_o the_o horizon_n the_o more_o it_o refract_v the_o star_n so_o that_o from_o hence_o we_o may_v conclude_v that_o the_o just_a quantity_n of_o the_o refraction_n of_o the_o star_n which_o astronomer_n continual_o observe_v can_v at_o all_o time_n be_v determine_v with_o certainty_n especial_o when_o they_o be_v in_o or_o near_o unto_o the_o horizon_n now_o from_o these_o observation_n of_o learned_a able_a mathematician_n we_o may_v clear_o see_v how_o prodigious_o the_o star_n be_v oftentimes_o refract_v and_o especial_o venus_n when_o she_o be_v near_o the_o horizon_n as_o we_o shall_v afterward_o evince_v by_o indubitable_a experiment_n and_o demonstration_n geometrical_a whereby_o the_o judicious_a may_v see_v how_o dubious_a and_o uncertain_a a_o thing_n it_o be_v to_o determine_v the_o sun_n horizontal_n parallax_n to_o be_v only_o one_o four_o part_n of_o a_o minute_n yet_o i_o be_o not_o ignorant_a of_o kelper_n opinion_n epit._n astron_n pag._n 479._o where_o he_o say_v that_o if_o the_o parallax_n of_o the_o sun_n be_v 3_o min._n the_o parallax_n of_o mars_n in_o his_o near_a proximity_n to_o the_o earth_n must_v be_v great_a atque_fw-la observavi_fw-la ego_fw-la say_v he_o parallaxin_n martis_n nequaquam_fw-la esse_fw-la sensibilem_fw-la whence_o he_o imagine_v that_o the_o sun_n distance_n from_o the_o earth_n be_v more_o than_o 1200_o semidiameter_n again_o pag._n 886._o he_o suppose_v the_o parallax_n of_o saturn_n to_o be_v 8″_n jupiter_n 15″_n the_o sun_n one_o min._n or_o 60″_n the_o parallax_n of_o venus_n in_o her_o conjunction_n with_o the_o sun_n about_o 4_o min._n o._n sec_fw-la and_o mars_n in_o opposition_n of_o the_o sun_n 2_o min._n 30′_n sec_fw-la which_o say_v he_o be_v scarce_o observable_a for_o the_o explication_n and_o circumradiancy_n of_o his_o beam_n but_o this_o be_v but_o one_o doctor_n opinion_n however_o i_o shall_v conclude_v with_o kepler_n that_o the_o sun_n distance_n be_v great_a than_o 1200_o semidiameter_n namely_o 1460._o whereas_o ptolemy_n make_v it_o but_o 1165._o copernicus_n 1142._o tycho_n 1150._o but_o our_o antagonist_n increase_v it_o to_o 13755._o semid_n and_o so_o make_v the_o globe_n of_o the_o sun_n to_o be_v 258309_o time_n great_a than_o the_o whole_a earth_n partur_fw-la montes_fw-la nascetur_fw-la ridiculus_fw-la mus_fw-la whereas_o ptolemy_n albategnius_n and_o alfraganus_n make_v it_o but_o 166_o time_n great_a and_o tycho_n only_o 139_o time_n but_o i_o perceive_v our_o antagonist_n will_v be_v singular_a and_o count_v absolutum_fw-la astronomiae_n restauratorem_fw-la but_o the_o contrary_n will_v appear_v and_o that_o absque_fw-la summâ_fw-la curâ_fw-la &_o diligentia_fw-la adhibitâ_fw-la he_o have_v most_o erroneous_o state_v the_o dimension_n of_o the_o celestial_a sphere_n not_o due_o consider_v some_o observation_n and_o wilful_o reject_v other_o for_o ut_fw-la quoties_fw-la be_v antecedentium_fw-la astronomorum_fw-la observationes_fw-la placitis_fw-la suis_fw-la non_fw-la congruere_fw-la cernit_fw-la toties_fw-la eas_fw-la limitet_fw-la castiget_fw-la emendet_fw-la rejiciat_fw-la aut_fw-la malè_fw-la invertat_fw-la but_o why_o can_v not_o tycho_n who_o be_v so_o curious_a and_o diligent_a discover_v these_o rare_a secret_n after_o he_o have_v make_v so_o many_o singular_a experiment_n about_o the_o parallax_n and_o refraction_n of_o the_o star_n certain_o have_v there_o be_v just_a cause_n or_o any_o real_a observation_n of_o he_o that_o will_v have_v make_v for_o these_o new_a supposition_n he_o will_v have_v see_v it_o before_o our_o antatagonist_n but_o no_o such_o thing_n be_v by_o he_o or_o by_o any_o other_o perceive_v neither_o sufficient_o prove_v by_o ♂_o ☉_o ♀_o anno_fw-la 1639._o we_o can_v esteem_v his_o invention_n to_o be_v only_o purum_fw-la figmentum_fw-la ex_fw-la falsis_fw-la incertisque_fw-la observationibus_fw-la natum_fw-la but_o to_o make_v a_o just_a experiment_n of_o refraction_n and_o of_o the_o inequality_n and_o different_a degree_n thereof_o take_v a_o empty_a basin_n or_o other_o vessel_n and_o in_o the_o bottom_n thereof_o place_v a_o piece_n of_o silver_n so_o that_o it_o can_v remove_v then_o recede_v so_o far_o from_o the_o same_o till_o you_o just_o lose_v the_o sight_n of_o the_o silver_n which_o do_v let_v one_o pour_v in_o fair_a water_n into_o the_o basin_n and_o though_o you_o exact_o keep_v your_o place_n of_o stand_v yet_o shall_v you_o see_v the_o silver_n refract_v and_o appear_v all_o to_o your_o eye_n and_o the_o further_a you_o fill_v the_o basin_n with_o water_n the_o more_o refract_v and_o the_o high_a above_o the_o brim_n of_o the_o basin_n will_v the_o silver_n appear_v so_o that_o by_o this_o experiment_n you_o may_v see_v the_o reason_n of_o refraction_n and_o after_o what_o manner_n they_o may_v be_v augment_v or_o diminish_v according_a to_o the_o crassitude_n of_o the_o medium_n or_o areal_a sphere_n again_o if_o you_o place_n two_o piece_n of_o silver_n in_o the_o same_o basin_n one_o above_o another_o and_o then_o go_v