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end_n draw_v line_n perpendicular_a 3,095 5 14.0786 5 true
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ID Title Author Corrected Date of Publication (TCP Date of Publication) STC Words Pages
A51553 A tutor to astronomie and geographie, or, An easie and speedy way to know the use of both the globes, coelestial and terrestrial in six books : the first teaching the rudiments of astronomy and geography, the 2. shewing by the globes the solution of astronomical & geographical probl., the 3. shewing by the globes the solution of problems in navigation, the 4. shewing by the globes the solution of astrological problemes, the 5. shewing by the globes the solution of gnomonical problemes, the 6. shewing by the globes the solution of of [sic] spherical triangles : more fully and amply then hath ever been set forth either by Gemma Frisius, Metius, Hues, Wright, Blaew, or any others that have taught the use of the globes : and that so plainly and methodically that the meanest capacity may at first reading apprehend it, and with a little practise grow expert in these divine sciences / by Joseph Moxon ; whereunto is added Antient poetical stories of the stars, shewing reasons why the several shapes and forms are pictured on the coelestial globe, collected from Dr. Hood ; as also a Discourse of the antiquity, progress and augmentation of astronomie. Moxon, Joseph, 1627-1691.; Hood, Thomas, fl. 1582-1598. 1659 (1659) Wing M3021; ESTC R23159 189,557 267

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stand_v the_o angle_n c_o which_o a_o b_o subtend_v next_o follow_v the_o 142._o degree_n 42._o minute_n of_o azimuth_n which_o make_v b_o c_o of_o your_o triangle_n to_o the_o horizon_n and_o from_o thence_o number_n in_o the_o horizon_n towards_o the_o east_n point_fw-fr 37_o degree_n 18._o minute_n the_o compliment_n of_o the_o angle_n a_o to_o 180._o degree_n and_o number_n yet_o further_o 52._o degree_n 42._o minute_n beyond_o the_o east_n point_n to_o make_v up_o 90_o and_o there_o be_v the_o pole_n of_o the_o arch_n b_o c_o therefore_o there_o shall_v stand_v the_o angle_n a_o which_o b_o c_z subtend_v then_o count_v in_o the_o equator_fw-la from_o the_o first_o meridian_n 90._o degree_n which_o will_v end_v under_o the_o horizon_n and_o there_o make_v a_o prick_n for_o there_o be_v the_o pole_n of_o the_o arch_n or_o side_n a_o c._n therefore_o at_o that_o prick_n shall_v stand_v the_o angle_n b_o which_o a_o c_o subtend_v here_o you_o see_v your_o second_o triangle_n make_v 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have_v two_o side_n and_o a_o angle_n give_v be_v to_o be_v solve_v by_o the_o cannon_n of_o sines_n and_o tangent_n but_o by_o the_o globe_n it_o may_v be_v solve_v without_o it_o as_o be_v show_v prob_n 8_o 9_o yet_o because_o let_v fall_v a_o perperdicular_a be_v so_o frequent_a in_o all_o author_n that_o treat_v of_o trigonometry_n i_o have_v insert_v this_o problem_n also_o in_o the_o oblique_a triangle_n of_o the_o fromer_fw-ge problem_n there_o be_v give_v the_o side_n a_o b_o 38½_n degree_n and_o b_o c_o 25._o degree_n and_o the_o angle_n c_o 25._o degree_n 24._o minute_n it_o be_v require_v to_o let_v fall_v a_o perpendicular_a as_o b_o a_o from_o the_o angle_n b._n upon_o the_o base_a a_o c_o and_o to_o know_v both_o the_o measure_n of_o this_o perpendicular_a and_o the_o part_n it_o divide_v the_o base_a into_o therefore_o elevate_v the_o pole_n of_o the_o globe_n above_o the_o horizon_n so_o much_o as_o be_v the_o measure_n of_o the_o angle_n c_o which_o in_o this_o 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the_o angl●_n a_o and_o b_o as_o be_v show_v in_o the_o preface_n theorem_fw-la 1._o the_o end_n of_o the_o six_o book_n here_o follow_v the_o ancient_a story_n of_o the_o several_a star_n and_o constellation_n show_v the_o poetical_a reason_n why_o such_o various_a figure_n be_v place_v in_o heaven_n collect_v from_o dr_n hood_n and_o first_o of_o the_o northern_a constellation_n 1._o ursa_fw-la minor_fw-la this_o constellation_n have_v the_o pre-eminence_n because_o it_o be_v near_a of_o all_o the_o rest_n unto_o the_o north_n pole_n and_o be_v call_v of_o the_o greek_n 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d whereupon_o the_o pole_n be_v call_v the_o pole_n arctic_a for_o that_o it_o be_v near_o unto_o that_o constellation_n it_o be_v also_o call_v helice_n minor_a because_o of_o the_o small_a revolution_n which_o it_o make_v round_o about_o the_o pole_n or_o rather_o of_o elice_n a_o town_n in_o arcadia_n wherein_o calysto_n the_o great_a bear_n and_o mother_n to_o the_o less_o be_v breed_v 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his_o wife_n be_v then_o great_a that_o she_o shall_v show_v he_o the_o child_n so_o soon_o as_o ever_o it_o be_v bear_v but_o she_o bring_v forth_o jupiter_n and_o be_v great_o delight_v with_o his_o hair_n give_v the_o child_n unto_o two_o nymph_n of_o crete_n dwell_v in_o the_o mount_n dicte_n whereof_o this_o be_v one_o and_o be_v call_v cynosura_n the_o other_o be_v helice_n jupter_n after_o that_o according_a to_o the_o oracle_n he_o have_v bereave_v his_o father_n of_o the_o kingdom_n in_o recompense_n of_o their_o pain_n and_o courtesy_n translate_v they_o both_o into_o the_o heaven_n and_o make_v of_o they_o two_o constellation_n the_o lesser_a bear_n and_o the_o great_a bear_n othersome_a say_v that_o it_o be_v arcas_n the_o son_n of_o
calysto_n and_o they_o tell_v the_o tale_n on_o this_o manner_n calysto_n a_o nymph_n of_o singular_a beauty_n daughter_n to_o lycaon_n king_n of_o arcadia_n induce_v by_o the_o great_a desire_n she_o have_v of_o hunt_v become_v a_o follower_n of_o the_o goddess_n diana_n after_o this_o jupiter_n be_v enamour_v with_o her_o beauty_n and_o out_o of_o hope_n by_o reason_n of_o her_o profession_n to_o win_v her_o love_n in_o his_o own_o person_n counterfeit_v the_o shape_n of_o diana_n lay_v with_o calysto_n and_o get_v she_o with_o child_n of_o who_o be_v bear_v a_o son_n which_o be_v call_v arcas_n diana_n or_o rather_o juno_n be_v very_o much_o offend_v here-with_a turn_v calisto_n into_o a_o bear_n arcas_n her_o son_n at_o the_o age_n of_o fifteen_o hunt_v in_o the_o wood_n by_o chance_n light_v upon_o his_o mother_n in_o the_o shape_n of_o a_o bear_n who_o know_v her_o son_n arcas_n stand_v still_o that_o he_o may_v come_v near_o unto_o she_o and_o not_o be_v afraid_a but_o he_o fear_v the_o shape_n of_o so_o cruel_a a_o beast_n bend_v his_o bow_n of_o purpose_n to_o have_v slay_v she_o whereupon_o jupiter_n to_o prevent_v the_o mischief_n translate_v they_o both_o into_o heaven_n and_o of_o they_o make_v two_o several_a constellation_n unto_o the_o lesser_a bear_n there_o belong_v but_o one_o star_n unformed_a 2._o ursa_fw-la mayor_n the_o great_a bear_n call_v also_o of_o the_o greek_n arctos_n and_o helice_n consist_v of_o 27._o star_n among_o the_o which_o those_o seven_o that_o be_v in_o the_o hinder_a part_n and_o tail_n of_o the_o bear_n be_v most_o observe_v the_o latin_n call_v they_o pla●strum_n and_o of_o our_o man_n they_o be_v call_v charles_n wain_n because_o the_o star_n do_v stand_v in_o such_o sort_n that_o the_o three_o which_o be_v in_o the_o tail_n resemble_v the_o horse_n and_o the_o other_o four_o which_o be_v in_o the_o flank_n of_o the_o bear_n stand_v after_o a_o manner_n like_o the_o wheel_n of_o a_o wagon_n or_o chariot_n and_o 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heaven_n request_v her_o brother_n neptune_n that_o he_o shall_v never_o suffer_v those_o star_n to_o set_v within_o his_o kingdom_n to_o which_o request_n neptune_n condescend_v so_o that_o in_o all_o europe_n they_o never_o come_v near_o unto_o the_o sea_n or_o touch_v the_o horizon_n if_o any_o one_o marvel_n that_o see_v she_o have_v the_o form_n of_o a_o bear_n she_o shall_v have_v a_o tail_n so_o long_o imagine_v that_o jupiter_n fear_v to_o come_v too_o nigh_o unto_o her_o tooth_n lay_v hold_v on_o her_o tail_n and_o thereby_o draw_v she_o up_o into_o heaven_n so_o that_o she_o of_o herself_o be_v very_o weighty_a and_o the_o distance_n from_o the_o earth_n to_o the_o heaven_n very_o great_a there_o be_v great_a likelihood_n that_o her_o tail_n must_v stretch_v the_o unformed_a star_n belong_v to_o this_o constellation_n be_v eight_o 3_o draco_n the_o dragon_n of_o some_o name_v the_o serpent_n of_o other_o the_o snake_n by_o the_o arabian_n aben_n and_o by_o junctinus_n florentinus_n vrago_n because_o he_o wind_v his_o tail_n round_o about_o the_o ecliptic_a pole_n it_o contain_v 31._o star_n this_o be_v the_o dragon_n that_o keep_v the_o golden_a apple_n in_o the_o orchard_n of_o the_o hesperide_n now_o think_v to_o be_v the_o island_n of_o cape_n de_fw-fr virde_n and_o for_o his_o diligence_n and_o watchfulness_n be_v afterward_o translate_v into_o heaven_n yet_o other_o say_v that_o he_o come_v into_o heaven_n by_o this_o occasion_n when_o minerva_n withstand_v the_o giant_n fight_v against_o the_o god_n they_o to_o terrify_v she_o throw_v at_o she_o a_o mighty_a dragon_n but_o she_o catch_v he_o in_o her_o hand_n throw_v he_o present_o up_o into_o heaven_n and_o place_v he_o there_o as_o a_o memorial_n of_o that_o her_o resistance_n other_o will_v have_v it_o to_o be_v the_o serpent_n python_n who_o apollo_n slay_v after_o the_o deluge_n 4._o cephus_n contain_v in_o he_o 11._o star_n and_o have_v two_o unformed_a this_o be_v a_o king_n of_o the_o aethiopian_n and_o husband_n unto_o cassiopeia_n and_o father_n of_o andromeda_n who_o perseus_n marry_v he_o be_v take_v up_o into_o heaven_n with_o his_o wife_n and_o daughter_n for_o the_o good_a deed_n of_o perseus_n his_o son_n in_o law_n that_o he_o and_o his_o whole_a stock_n may_v be_v have_v in_o remembrance_n for_o ever_o the_o star_n which_o be_v in_o his_o right_a shoulder_n be_v call_v by_o the_o arabian_n alderahiemin_n i._n e._n his_o right_a arm._n 5_o boötes_n the_o driver_n of_o the_o ox_n for_o so_o i_o suppose_v the_o name_n to_o signify_v rather_o than_o a_o herdsman_n for_o he_o have_v not_o his_o name_n because_o he_o have_v the_o care_n of_o any_o cattle_n but_o only_o because_o he_o be_v suppose_v to_o drive_v charles_n his_o wain_n which_o be_v draw_v by_o 3._o ox_n he_o be_v also_o call_v arctophilax_n the_o keeper_n of_o the_o bear_n as_o though_o the_o care_n of_o she_o be_v commit_v to_o he_o this_o constellation_n consist_v of_o 22_o star_n some_o will_v have_v boötes_n to_o be_v areas_n the_o son_n of_o she_o who_o before_o be_v turn_v into_o the_o great_a bear_n and_o they_o tell_v the_o tale_n thus_o ly●aon_n the_o father_n of_o calisto_n receive_v jupiter_n into_o his_o house_n as_o a_o guest_n take_v arcas_n his_o daughter_n son_n and_o cut_v he_o in_o piece_n and_o among_o other_o service_n set_v he_o before_o jupiter_n to_o be_v eat_v for_o by_o this_o mean_v he_o think_v to_o prove_v if_o his_o guest_n be_v a_o god_n as_o he_o pretend_v to_o be_v jupiter_n perceive_v this_o heinous_a fact_n overthrow_v the_o table_n fire_v the_o house_n with_o lightning_n and_o turn_v lycaon_n into_o a_o wolf_n but_o gather_v and_o set_v together_o again_o the_o limb_n of_o the_o child_n he_o commit_v he_o to_o a_o nymph_n of_o aetolia_n to_o be_v keep_v arcas_n afterward_o come_v to_o man_n estate_n and_o hunt_v in_o the_o wood_n light_v at_o un-awares_a upon_o his_o mother_n transform_v by_o juno_n into_o the_o shape_n of_o a_o bear_n who_o he_o pursue_v into_o the_o temple_n of_o jupiter_n lycaeus_n whereunto_o by_o the_o law_n of_o the_o arcadian_n it_o be_v death_n for_o any_o man_n to_o come_v for_o as_o much_o therefore_o as_o they_o must_v of_o likelihood_n be_v both_o slay_v calysto_n by_o her_o son_n and_o he_o by_o the_o law_n jupiter_n to_o avoid_v this_o mischief_n of_o mere_a pity_n take_v they_o both_o up_o into_o heaven_n unto_o this_o constellation_n belong_v but_o one_o star_n unformed_a and_o it_o be_v between_o the_o leg_n of_o boötes_n and_o by_o the_o grecian_n it_o be_v call_v arcturus_n because_o of_o all_o the_o star_n near_o the_o great_a bear_n name_v arctos_n this_o star_n be_v first_o see_v near_o her_o tail_n in_o the_o evening_n the_o poetical_a invention_n be_v thus_o icarus_n the_o father_n of_o erigone_n have_v receive_v of_o the_o god_n bacchus_n a_o flagon_n of_o wine_n to_o declare_v how_o good_a it_o be_v for_o mortal_a man_n travel_v therewith_o into_o the_o territory_n of_o athens_n and_o there_o begin_v to_o carouse_v with_o certain_a shepherd_n they_o be_v great_o delight_v with_o the_o pleasantness_n of_o the_o wine_n be_v a_o new_a kind_n of_o liquor_n begin_v to_o draw_v so_o hard_o at_o it_o that_o ere_o they_o leave_v off_o they_o be_v past_o one_o and_o thirty_o and_o in_o the_o end_n be_v fain_o to_o lay_v their_o head_n to_o rest_n but_o come_v unto_o themselves_o again_o and_o find_v their_o brain_n scarce_o in_o good_a temper_n they_o kill_v icarus_n think_v indeed_o that_o he_o have_v either_o poison_v they_o or_o at_o the_o leastwise_o make_v their_o brain_n introxicate_a erigone_n be_v ready_a to_o die_v for_o grief_n and_o so_o be_v mera_fw-fr her_o little_a dog_n but_o jupiter_n to_o allay_v their_o grief_n place_v her_o father_n in_o
be_v ericthonious_a king_n of_o athens_n the_o son_n of_o vulcan_n who_o have_v most_o deform_a foot_n devise_v first_o the_o use_n of_o the_o wagon_n or_o chariot_n and_o join_v horse_n together_o to_o draw_v the_o same_o to_o the_o end_n that_o he_o sit_v therein_o may_v the_o better_o conceal_v his_o deformity_n for_o which_o invention_n jupiter_n translate_v he_o into_o the_o heaven_n in_o this_o constellation_n there_o be_v two_o other_o particular_a constellation_n to_o be_v note_v whereof_o the_o one_o consist_v but_o of_o one_o star_n alone_o which_o be_v in_o the_o left_a shoulder_n of_o auriga_fw-la and_o be_v call_v hircus_fw-la or_o capra_n the_o goat_n the_o arabian_n call_v it_o alhaioth_n the_o other_o consist_v of_o two_o little_a star_n a_o little_a beneath_o the_o other_o standing_z as_o it_o be_v in_o the_o hand_n of_o auriga_fw-la this_o constellation_n be_v ●called_v haedi_fw-la the_o kid_n the_o tale_n be_v thus_o saturn_n as_o you_o hear_v before_o have_v receive_v of_o the_o oracle_n that_o one_o of_o his_o son_n shall_v put_v he_o out_o of_o his_o kingdom_n whereupon_o he_o determine_v to_o devour_v they_o all_o ops_n by_o stealth_n convey_v away_o jupiter_n and_o send_v he_o to_o melissus_n king_n of_o crete_n to_o be_v nourish_v melissus_n have_v two_o daughter_n amalthaea_n and_o melissa_n commit_v jupiter_n unto_o their_o nursery_n amalthaea_n have_v a_o goat_n that_o give_v suck_v unto_o two_o kid_n so_o that_o by_o the_o milk_n of_o this_o goat_n she_o nourish_v jupiter_n very_o well_o to_o requite_v this_o her_o care_n and_o courtesy_n jupiter_n after_o he_o have_v put_v his_o father_n out_o his_o kingdom_n translate_v her_o goat_n and_o her_o two_o kid_n into_o heaven_n and_o in_o remembrance_n of_o the_o nurse_n the_o goat_n be_v call_v capra_n amalthaea_n novidius_n say_v that_o when_o christ_n be_v bear_v and_o his_o birth_n make_v manifest_a by_o the_o angel_n unto_o the_o shepherd_n one_o of_o they_o bring_v with_o he_o for_o a_o present_a a_o goat_n and_o two_o young_a kid_n which_o in_o token_n of_o his_o good_a will_n be_v place_v in_o heaven_n 13._o ophiuchus_n or_o serpentarius_n that_o be_v the_o serpent-bearer_n this_o constellation_n have_v no_o proper_a name_n but_o be_v thus_o entitle_v because_o he_o hold_v a_o serpent_n in_o his_o hand_n it_o contain_v 24._o star_n some_o say_v that_o it_o be_v hercules_n and_o report_v the_o tale_n on_o this_o manner_n juno_n be_v a_o great_a enemy_n to_o hercules_n send_v two_o snake_n to_o kill_v he_o as_o he_o lie_v sleep_v in_o his_o cradle_n but_o hercules_n be_v a_o lusty_a child_n for_o jupiter_n have_v spend_v two_o day_n in_o beget_v he_o without_o much_o ado_n strangle_v they_o both_o in_o memorial_n of_o so_o strange_a a_o event_n jupiter_n place_v he_o in_o the_o heaven_n with_o a_o serpent_n in_o his_o hand_n 14._o serpens_fw-la the_o serpent_n of_o ophiuchus_n which_o consist_v of_o 18._o star_n some_o say_v that_o it_o be_v one_o of_o the_o 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