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reason_n name_n terrestrial_a zone_n 92 3 16.4701 5 false
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ID Title Author Corrected Date of Publication (TCP Date of Publication) STC Words Pages
A29742 An account of the rotula arithmetica invented by Mr. George Brown. Brown, George, 1650-1730.; Dary, Michael. Dary's Miscellanies.; Cooke, Francis, fl. 1669. Principles of geometrie.; Georgius, Henisschius. Tables of the astronomical institutions. 1700 (1700) Wing B5019; ESTC R4627 82,687 247

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term_v it_o from_o the_o right_n toward_o the_o left_a hand_n but_o the_o proper_a revolution_n be_v from_o the_o west_n unto_o the_o east_n or_o from_o the_o left_a towards_o the_o right_a hand_n the_o three_o difference_n be_v in_o consideration_n of_o the_o swiftness_n for_o the_o diurnal_a motion_n fulfil_v his_o course_n within_o the_o space_n of_o 24._o common_a hour_n but_o the_o proper_a motion_n in_o diverse_a distance_n of_o time_n according_a to_o the_o largeness_n of_o the_o orb_n namely_o the_o orb_n of_o the_o fix_a star_n perform_v his_o circle_n in_o 36000._o year_n of_o ♄_o in_o 30_o of_o ♃_o in_o 12_o of_o ♂_o in_o 2._o year_n of_o the_o ☉_o in_o 365._o day_n and_o about_o 6._o hour_n of_o ♀_o in_o 384._o day_n after_o pliny_n the_o orb_n of_o ☿_o in_o as_o many_o day_n as_o the_o ☉_o and_o the_o orb_n of_o the_o ☽_o in_o 27._o day_n &_o 8._o hour_n the_o circular_a form_n and_o circular_a motion_n of_o the_o heaven_n chap._n 11._o the_o heaven_n be_v circular_a in_o motion_n and_o in_o figure_n the_o circular_a motion_n of_o the_o heaven_n be_v prove_v as_o well_o by_o 2._o experiment_n as_o by_o 2._o argument_n the_o one_o experiment_n be_v take_v from_o the_o star_n of_o the_o 8._o orb_n which_o both_o in_o their_o rise_n &_o set_v do_v always_o keep_v one_o &_o the_o same_o habitude_n both_o in_o regard_n of_o the_o earth_n and_o one_o to_o another_o which_o thing_n can_v agree_v with_o none_o other_o than_o a_o circular_a motion_n about_o the_o centre_n the_o other_o experiment_n be_v also_o take_v from_o the_o star_n of_o the_o 8._o orb_n always_o appear_v and_o retain_v in_o diverse_a place_n the_o same_o distance_n from_o the_o pole_n and_o onestom_n another_o which_o also_o agree_v with_o the_o circular_a motion_n only_o the_o first_o
none_o at_o all_o in_o regard_n of_o reason_n when_o one_o place_n be_v distant_a from_o another_o in_o latitude_n only_o that_o be_v from_o the_o north_n to_o the_o south_n or_o contrariwise_o it_o be_v none_o at_o all_o in_o sense_n when_o one_o place_n be_v distant_a from_o another_o according_a unto_o longitude_n which_o be_v from_o the_o east_n unto_o the_o west_n or_o contrariwise_o 36._o scrup_n that_o be_v about_o 300._o furlong_n the_o variety_n be_v manifold_a in_o regard_n also_o of_o reason_n and_o of_o sense_n the_o manifold_a variety_n in_o regard_n of_o reason_n be_v when_o examine_v the_o least_o distance_n toward_o the_o east_n or_o west_n we_o conclude_v another_o meridian_n and_o by_o this_o mean_v we_o may_v have_v so_o many_o meriridian_n as_o there_o shall_v be_v place_n at_o every_o small_a distance_n towards_o the_o east_n the_o manifold_a variety_n according_a unto_o sense_n be_v as_o often_o as_o any_o two_o place_n shall_v be_v distant_a one_o from_o another_o between_o east_n and_o west_n more_fw-mi they_o half_o a_o degree_n and_o by_o this_o mean_v we_o may_v have_v so_o many_o meridians_fw-la as_o there_o be_v half_a degree_n of_o the_o equinoctial_a circle_n the_o office_n of_o the_o meridiane_a be_v twofolde_a either_o astronomical_a or_o geographical_a the_o astronomical_a office_n thereof_o be_v execute_v two_o manner_n of_o way_n 1._o in_o point_v out_o the_o noon_n tide_n or_o midday_n either_o natural_a or_o artificial_a 2._o the_o diverse_a habitude_n and_o position_n of_o the_o star_n follow_v the_o motion_n of_o the_o heaven_n itself_o be_v ascribe_v unto_o the_o meridian_n the_o geographical_a office_n thereof_o be_v also_o of_o two_o sort_n 1._o by_o the_o help_n thereof_o the_o longitude_n of_o all_o place_n be_v calculate_v and_o what_o place_n be_v more_o oriental_a and_o which_o more_o occidental_a 2._o by_o the_o aid_n thereof_o we_o describe_v in_o the_o terrestrial_a plane_n a_o correspondent_a merdiane_fw-la line_n for_o diverse_a use_n of_o astronomicalli_n instrument_n of_o the_o horizon_n chap._n 23._o there_o be_v also_o another_o circle_n which_o the_o ☉_o by_o the_o first_o motion_n do_v point_n out_o in_o the_o east_n and_o west_n point_n who_o definition_n division_n and_o dignity_n be_v to_o be_v consider_v the_o definition_n stretch_v itself_o both_o to_o the_o name_n thereof_o and_o to_o the_o matter_n it_o have_v diverse_a appellation_n and_o be_v sometime_o call_v the_o horizon_n finitor_n finiens_fw-la as_o limit_v our_o sight_n and_o sometime_o the_o compass_n or_o circle_n of_o the_o hemisphere_n of_o diverse_a region_n the_o matter_n itself_o attend_v the_o description_n of_o the_o centre_n or_o pole_n thereof_o the_o circumference_n and_o the_o magnitude_n the_o centre_n or_o pole_n of_o the_o horizon_n be_v the_o vertical_a point_n of_o each_o place_n distant_a from_o the_o equator_fw-la so_o much_o as_o the_o pole_n of_o the_o world_n be_v distant_a from_o the_o horizon_n the_o circumference_n of_o the_o horizon_n be_v that_o which_o the_o semidiameter_n of_o the_o world_n in_o his_o full_a revolution_n through_o the_o point_n of_o the_o east_n and_o west_n and_o the_o rest_n of_o the_o brim_a of_o heaven_n describe_v the_o magnitude_n of_o the_o horizon_n be_v consider_v in_o that_o it_o be_v one_o of_o the_o great_a circle_n divide_v the_o world_n in_o regard_n of_o sense_n into_o 2._o equal_a segmente_n whereof_o the_o one_o be_v call_v the_o upper_a the_o see_v or_o the_o diurnal_a segment_n the_o other_o the_o low_a the_o hide_a or_o the_o nocturnal_a segment_n the_o division_n of_o the_o horizon_n be_v consider_v in_o respect_n of_o the_o equator_fw-la as_o it_o be_v either_o a_o right_n or_o a_o oblique_a horizon_n the_o right_a or_o orthogonall_a horrizon_n have_v 3._o propriety_n 1_o with_o the_o equator_fw-la it_o have_v equal_a angle_n 2_o it_o have_v the_o pole_n or_o the_o vertical_a point_n in_o the_o equator_fw-la 3_o it_o have_v the_o pole_n of_o the_o world_n in_o his_o circumference_n the_o oblique_a bend_a or_o incline_v horizon_n be_v in_o all_o thing_n contrary_a unto_o the_o right_n the_o dignity_n of_o the_o horizon_n by_o reason_n of_o the_o manifold_a use_n thereof_o be_v great_a for_o by_o the_o help_n thereof_o we_o learn_v 6._o thing_n 1_o the_o quantity_n of_o the_o artificial_a day_n and_o night_n and_o consequent_o the_o time_n of_o the_o rise_n and_o set_v of_o the_o ☉_o 2_o the_o equal_a hour_n of_o the_o day_n the_o ☉_o shine_v 3_o the_o degree_n of_o the_o zodiac_n wherewith_o any_o star_n give_v do_v arise_v and_o set_v 4_o what_o star_n do_v always_o appear_v or_o be_v always_o hide_v 5_o the_o rising_z and_o set_v of_o the_o star_n 6_o the_o eclipse_n of_o the_o ☉_o &_o ☽_o either_o see_v or_o not_o see_v the_o division_n of_o the_o horizon_n according_a to_o proclus_n chap._n 24._o moreover_o the_o greek_n deliver_v unto_o we_o a_o more_o subtle_a division_n of_o the_o horizon_n and_o it_o be_v twofold_a the_o one_o to_o be_v conceive_v in_o mind_n only_o the_o other_o fall_v within_o the_o compass_n of_o our_o sense_n or_o our_o sight_n concern_v the_o horizon_n to_o be_v conceive_v in_o mind_n only_o we_o be_v to_o note_v the_o name_n the_o description_n the_o cause_n it_o be_v diverf_o name_v as_o either_o rational_a or_o conceive_v by_o reason_n by_o the_o greek_n call_v 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d and_o also_o natural_a the_o description_n thereof_o be_v absolve_v by_o a_o semidiameter_n and_o a_o circumference_n and_o the_o area_n thereof_o the_o semidiameter_n be_v that_o line_n whereof_o the_o one_o extremity_n be_v in_o the_o eye_n of_o the_o inhabitant_n of_o the_o world_n the_o other_o extremity_n be_v in_o the_o or_o be_v of_o the_o fix_a star_n the_o circumference_n and_o the_o area_n be_v the_o space_n and_o compass_n which_o the_o semidiameter_n make_v be_v carry_v about_o by_o the_o brim_n of_o that_o part_n of_o the_o heaven_n that_o be_v extant_a above_o the_o horizon_n the_o cause_n allege_v be_v that_o our_o sight_n be_v inhable_a to_o pierce_v unto_o the_o behold_n of_o all_o the_o fix_a star_n do_v conclude_v that_o there_o be_v a_o certain_a circle_n in_o the_o heaven_n that_o limit_v the_o thing_n see_v from_o the_o thing_n not_o see_v in_o the_o horrizon_n apprehend_v by_o our_o sense_n we_o be_v to_o note_v the_o name_n the_o description_n the_o variety_n it_o be_v call_v the_o horizon_n sensible_a or_o perceive_v by_o our_o sense_n also_o the_o apparent_a and_o artificial_a horizon_n the_o description_n be_v perform_v by_o a_o semidiameter_n a_o circumference_n and_o a_o plane_n the_o semidiameter_n be_v that_o line_n whereof_o the_o one_o limit_n be_v in_o our_o eye_n the_o other_o be_v in_o the_o end_n of_o our_o sight_n upon_o the_o surface_n of_o the_o earth_n consist_v of_o a_o thousand_o furlong_n which_o end_n we_o imagine_v in_o a_o free_a prospect_n to_o join_v the_o heaven_n and_o the_o earth_n together_o the_o circumference_n and_o plane_n be_v that_o space_n &_o compass_n which_o the_o aforesaid_a semidiameter_n turn_v about_o do_v describe_v the_o variety_n be_v common_a aswell_o unto_o the_o rational_a as_o the_o sensible_a horizon_n &_o it_o be_v either_o none_o at_o all_o or_o else_o manifold_a the_o variety_n of_o the_o sensible_a horizon_n be_v say_v to_o be_v none_o at_o all_o when_o the_o horizon_n do_v continue_v all_o one_o and_o the_o same_o and_o it_o be_v either_o in_o reason_n or_o in_o sense_n the_o sensible_a horizon_n be_v not_o vary_v in_o reason_n when_o the_o place_n be_v not_o any_o whit_n nor_o any_o way_n change_v the_o sensible_a horizon_n be_v say_v not_o to_o be_v vary_v in_o sense_n when_o the_o place_n distant_a about_o 400._o furlonge_v one_o from_o another_o that_o be_v 48_o mi._n do_v not_o alter_v either_o the_o climate_n or_o the_o length_n of_o the_o day_n or_o the_o apparence_n of_o the_o heaven_n the_o variety_n of_o the_o sensible_a horizon_n be_v manifold_a when_o the_o place_n be_v vary_v more_o than_o 400._o furlonge_v and_o be_v situate_v either_o toward_o the_o east_n or_o west_n in_o which_o variety_n neither_o the_o climate_n nor_o the_o length_n of_o the_o day_n nor_o the_o apparence_n of_o the_o heaven_n be_v change_v with_o the_o horizon_n or_o else_o they_o be_v situate_v towards_o the_o north_n or_o south_n wherein_o together_o with_o the_o horizon_n both_o the_o climate_n and_o the_o length_n of_o the_o day_n &_o the_o apparence_n of_o the_o heaven_n be_v alter_v of_o the_o two_o tropicke_n chap._n 25._o the_o ☉_o carry_v about_o by_o the_o second_o motion_n in_o his_o great_a declination_n from_o the_o equator_fw-la by_o the_o violence_n of_o the_o first_o motion_n describe_v certain_a parallel_n whereof_o the_o general_a reason_n the_o number_n &_o the_o office_n be_v to_o be_v consider_v the_o
situation_n between_o the_o mean_n and_o extreme_n do_v as_o the_o former_a differ_v from_o the_o rest_n 1._o in_o the_o double_a passage_n of_o the_o ☉_o over_o their_o head_n but_o not_o in_o the_o head_n of_o ♈_o &_o ♎_o 2._o in_o their_o four_o shadow_n and_o solstice_n although_o not_o happen_v at_o the_o same_o time_n as_o in_o former_a situation_n those_o that_o have_v their_o situation_n in_o the_o extreme_n of_o the_o burn_a zone_n do_v differ_v from_o the_o other_o 1._o in_o that_o the_o sun_n come_v but_o once_o unto_o their_o zenith_n 2._o in_o the_o length_n of_o their_o great_a day_n which_o be_v 3._o ho._n ½_n those_o place_n that_o be_v situate_v within_o the_o temperate_a zone_n be_v either_o in_o the_o extreme_n or_o in_o the_o mean_a the_o extreme_a space_n be_v those_o that_o be_v under_o either_o the_o trop_fw-fr of_o ♋_o whereof_o we_o speak_v before_o or_o the_o arctic_a circle_n those_o that_o be_v under_o the_o arctic_a circle_n do_v differ_v from_o other_o 1._o in_o that_o they_o have_v the_o zodiac_n coincident_a with_o their_o horizon_n and_o the_o pole_n thereof_o with_o their_o zenith_n 2._o in_o that_o the_o sign_n do_v arise_v unto_o they_o either_o most_o swiftlye_o or_o most_o flowelye_o 3._o in_o the_o length_n of_o one_o day_n consist_v of_o 24_o hour_n those_o that_o be_v situate_v within_o the_o mean_a space_n of_o the_o temperate_a zone_n do_v differ_v from_o other_o 1._o in_o their_o vertical_a point_n which_o the_o sun_n never_o come_v unto_o 2._o in_o their_o shadow_n which_o be_v only_o 3._o those_o place_n that_o be_v situate_v within_o the_o freeze_a zone_n be_v either_o in_o the_o mean_a space_n or_o in_o the_o extreme_n those_o that_o be_v within_o the_o mean_a space_n of_o the_o freeze_a zone_n do_v differ_v from_o other_o 1._o in_o the_o interfection_n of_o the_o zodiac_n and_o the_o horizon_n in_o equidistant_a point_n 2._o in_o that_o some_o portion_n of_o the_o zodiac_n be_v always_o either_o above_o the_o horizon_n or_o under_o the_o same_o those_o that_o be_v within_o the_o extreme_n of_o the_o freeze_a zone_n be_v either_o under_o the_o arctic_a circle_n whereof_o we_o speak_v a_o little_a before_o or_o under_o the_o pole_n those_o that_o be_v under_o the_o pole_n do_v differ_v from_o other_o 1._o in_o their_o horizon_n which_o be_v all_o one_o with_o the_o equinoctial_a 2._o in_o their_o day_n which_o be_v half_a a_o year_n by_o reason_n that_o the_o one_o moiety_n of_o the_o zodiac_n do_v always_o appear_v above_o the_o horizon_n of_o the_o diversity_n of_o the_o name_n of_o the_o inhabitant_n chap._n 40._o the_o inhabitant_n of_o the_o earth_n compare_v one_o with_o another_o have_v diverse_a appellation_n by_o reason_n aswell_o of_o the_o shadow_n of_o the_o ☉_o as_o of_o the_o horizon_n or_o parallel_n and_o meridians_fw-la the_o shadow_n cast_v by_o the_o ☉_o upon_o the_o earth_n at_o noon_n be_v either_o infinite_a or_o none_o at_o all_o or_o else_o they_o be_v finite_a the_o shadow_n that_o be_v infinite_a or_o equidistant_a unto_o the_o beam_n be_v cast_v in_o the_o freeze_a zone_n who_o inhabitant_n be_v call_v periseti_n that_o be_v shadow_v round_o about_o because_o their_o shadow_n do_v go_v in_o compass_n round_o about_o they_o those_o that_o have_v no_o shadow_n at_o noon_n tide_n be_v in_o the_o burn_a zone_n who_o inhabitant_n be_v name_v either_o aseu_n because_o when_o the_o ☉_o be_v in_o their_o zenith_n they_o have_v no_o shadow_n at_o all_o or_o else_o amphiscii_n have_v 2_o shadow_n the_o one_o septentrional_a when_o the_o sun_n go_v from_o they_o towards_o the_o south_n the_o other_o meridional_a when_o he_o pass_v from_o they_o towards_o the_o north._n those_o who_o shadow_n be_v finite_a be_v name_v heteroscii_n as_o have_v but_o one_o of_o those_o shadow_n either_o septentrional_a as_o in_o the_o septentrional_a temperate_a zone_n or_o else_o meridional_a as_o in_o the_o meridional_a temperate_a zone_n whereof_o lucan_n make_v mention_v as_o concern_v the_o inhabitant_n of_o the_o world_n who_o comparison_n one_o with_o another_o stand_v upon_o the_o horizon_n or_o the_o parallel_n and_o meridian_n we_o have_v 5._o thing_n to_o consider_v 1._o some_o of_o they_o have_v the_o same_o sensible_a horizon_n who_o albertus_n call_v simul_fw-la habitantes_fw-la dwell_v together_o 2._o some_o of_o they_o do_v dwell_v under_o the_o opposite_a point_n of_o the_o same_o parallel_n and_o be_v call_v proprelie_o by_o the_o greek_n pertoeci_n as_o if_o you_o will_v say_v dweller_n about_o of_o the_o latin_n transuersi_fw-la dweller_n on_o the_o other_o side_n 3._o some_o of_o they_o dwell_v under_o the_o same_o parallel_n but_o not_o in_o the_o opposite_a point_n have_v a_o diverse_a longitude_n who_o albertus_n call_v circular_a dweller_n 4._o some_o of_o they_o dwell_v under_o the_o point_n of_o the_o same_o semimeridian_n equidistant_a from_o the_o equator_fw-la have_v a_o contrary_a latitude_n and_o be_v call_v antoeci_n or_o antomi_n also_o oblique_a inhabitant_n 5._o some_o of_o they_o do_v inhabit_v a_o equal_a or_o also_o the_o same_o parallel_n but_o under_o the_o point_n of_o the_o meridian_n diametrallie_o opposite_a and_o be_v call_v antipode_n antichthones_n and_o opposite_a the_o distinction_n of_o the_o surface_n of_o the_o earth_n according_a to_o the_o length_n of_o the_o date_n chap._n 41._o for_o the_o more_o exact_a knowledge_n of_o the_o long_a day_n in_o every_o place_n of_o the_o world_n sensible_o change_v themselves_o the_o astronomer_n have_v devise_v the_o distinction_n of_o parallel_n and_o of_o climate_n the_o parallel_n offer_v unto_o our_o consideration_n their_o definition_n and_o their_o supputation_n they_o be_v define_v to_o be_v circle_n distinguish_v the_o climate_n and_o distant_a one_o from_o another_o at_o the_o most_o but_o quarter_n of_o hour_n their_o supputation_n be_v diverse_a deliver_v by_o 3._o sort_n of_o geographer_n 1._o by_o the_o common_a geographer_n which_o do_v distinguishe_v the_o space_n of_o the_o earth_n from_o 12._o gr_n 45._o mi._n unto_o 50._o gr_n 30._o mi._n into_o 15._o parallel_n attribute_v unto_o each_o one_o of_o a_o hour_n 2._o by_o the_o mariner_n who_o in_o like_a manner_n do_v recon_fw-mi 14._o parallel_n distinguish_v by_o quarter_n of_o hour_n from_o the_o equator_fw-la unto_o 45._o gr_n but_o then_o they_o proceed_v by_o half_a hour_n unto_o the_o 19_o parallel_n and_o then_o by_o add_v on_o whole_a hour_n they_o come_v unto_o the_o 21._o prrallele_n 3._o by_o the_o more_o subtle_a geographer_n who_o make_v 48._o several_a parallel_n from_o the_o equator_fw-la towards_o the_o pole_n of_o the_o world_n unto_o the_o 66._o gr_n 30._o there_n of_o elevation_n and_o from_o thence_o augment_v they_o by_o day_n they_o add_v 20._o more_o the_o climate_n be_v to_o be_v consider_v in_o their_o definition_n in_o their_o division_n in_o their_o number_n and_o in_o their_o magnitude_n the_o definition_n be_v thus_o a_o climate_n be_v a_o space_n of_o the_o earth_n include_v within_o 3._o parallel_n contain_v the_o difference_n of_o ½_n a_o hour_n their_o division_n be_v either_o general_a or_o particular_a their_o general_a division_n it_o that_o in_o regard_n whereof_o some_o of_o they_o be_v call_v northern_a climate_n and_o some_o southern_a the_o northern_a climate_n have_v their_o proper_a name_n derive_v from_o the_o place_n through_o the_o which_o they_o do_v pass_v the_o southern_a climate_n be_v those_o that_o be_v name_v by_o the_o contrary_n their_o particular_a division_n be_v that_o in_o regard_n whereof_o every_o one_o of_o they_o be_v divide_v into_o 3._o parallel_n the_o first_o the_o middlemost_a and_o the_o last_o parallel_n their_o number_n be_v know_v through_o the_o supputation_n of_o the_o parallel_n their_o magnitude_n be_v inequal_a aswell_o in_o respect_n of_o their_o longitude_n as_o of_o their_o latitude_n their_o longitude_n towards_o the_o equator_fw-la be_v great_a by_o reason_n of_o the_o great_a compass_n of_o circle_n and_o toward_o the_o pole_n it_o be_v less_o by_o reason_n of_o their_o less_o compass_n their_o latitude_n be_v inequal_a in_o respect_n of_o the_o space_n of_o degree_n that_o half_o a_o hour_n do_v contain_v and_o it_o be_v great_a about_o the_o equator_fw-la by_o reason_n of_o the_o almost_o equal_a compass_n of_o the_o degree_n and_o less_o about_o the_o pole_n by_o mean_n of_o the_o narrow_a inclination_n of_o the_o roundness_n of_o the_o earth_n of_o the_o light_n and_o of_o the_o shadow_n and_o their_o difference_n chap._n 42._o forasmuch_o as_o there_o have_v be_v often_o mention_v make_v of_o the_o shadow_n it_o shall_v not_o be_v amiss_o if_o we_o set_v before_o your_o eye_n the_o methodical_a description_n thereof_o and_o see_v that_o contraty_n be_v by_o their_o contrary_n make_v more_o manifest_a we_o will_v declare_v the_o nature_n of_o the_o light_n and_o