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earth_n account_v space_n zone_n 15 3 12.8061 5 false
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ID Title Author Corrected Date of Publication (TCP Date of Publication) STC Words Pages
A64224 Thesaurarium mathematicae, or, The treasury of mathematicks containing variety of usefull practices in arithmetick, geometry, trigonometry, astronomy, geography, navigation and surveying ... to which is annexed a table of 10000 logarithms, log-sines, and log-tangents / by John Taylor. Taylor, John, mathematician. 1687 (1687) Wing T534; ESTC R23734 190,995 514

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horary_a distance_n from_o the_o meridian_n prop._n xxxii_o by_o know_v the_o pole_n altitude_n to_o find_v the_o elevation_n of_o any_o fix_a star_n above_o the_o horizon_n be_v due_a east_n or_o west_n this_o be_v the_o analogy_n or_o proportion_n as_o s._n of_o the_o pole_n altitude_n to_o radius_fw-la or_o s._n 90°_n so_o be_v s._n of_o the_o star_n declination_n to_o s._n of_o the_o star_n elevation_n above_o the_o horizon_n at_o due_a east_n or_o west_n prop._n xxxiii_o to_o find_v out_o the_o horizontal_n parallax_n of_o the_o moon_n the_o analogy_n or_o proportion_n as_o the_o moon_n distance_n from_o the_o centre_n of_o the_o earth_n to_o the_o earth_n semidiameter_n so_o be_v radius_fw-la or_o s._n 90°_n so_o s._n of_o the_o moon_n be_v horizontal_n parallax_n in_o that_o distance_n prop._n xxxiv_o the_o horizontal_n parallax_n of_o the_o moon_n be_v know_v to_o find_v her_o parallax_n in_o any_o apparent_a latitude_n this_o be_v the_o analogy_n or_o proportion_n as_o radius_fw-la or_o s._n 90°_n to_o s._n of_o the_o moon_n be_v altitude_n so_o be_v s._n of_o the_o moon_n be_v horizontal_n parallax_n to_o s._n of_o the_o parallax_n in_o that_o altitude_n prop._n xxxv_o by_o know_v the_o moon_n be_v place_n in_o the_o ecliptic_a have_v little_a or_o no_o latitude_n and_o her_o parallax_n of_o altitude_n to_o find_v the_o parallax_n of_o her_o longitude_n and_o latitude_n first_o if_o the_o moon_n be_v in_o the_o 90°_n of_o the_o ecliptic_a she_o have_v then_o no_o parallax_n of_o longitude_n and_o the_o parallax_n of_o the_o latitude_n be_v the_o very_a parallax_n in_o that_o altitude_n second_o but_o if_o the_o moon_n be_v not_o in_o the_o 90th_o degree_n of_o the_o ecliptic_a to_o find_v the_o parallax_n of_o the_o latitude_n and_o longitude_n the_o analogy_n or_o proportion_n be_v 1._o as_o radius_fw-la or_o s._n 90°_n to_o t._n of_o the_o v._o of_o the_o ecliptic_a and_o horizon_n so_o be_v sc._n of_o the_o moon_n be_v distance_n from_o the_o ascendent_n or_o descendent_a deg_n of_o the_o ecliptic_a to_o tc._n of_o the_o ecliptick_n v_o with_o the_o azimuth_n of_o the_o moon_n again_o say_v 2._o as_o the_o radius_fw-la or_o s._n 90°_n to_o s._n of_o that_o v._o find_v so_o be_v the_o parallax_n of_o the_o moon_n be_v altitude_n to_o the_o parallax_n of_o her_o latitude_n seek_v last_o say_v 3._o as_o the_o radius_fw-la or_o s._n 90°_n 00_o 00_o to_o sc._n of_o the_o former_a v._o find_v so_o be_v the_o parallax_n of_o the_o moon_n be_v altitude_n to_o the_o parallax_n of_o his_o longitude_n seek_v which_o be_v add_v to_o the_o true_a motion_n of_o the_o moon_n if_o she_o be_v on_o the_o east_n part_n of_o the_o 90°_n of_o the_o ecliptic_a or_o from_o it_o to_o be_v deduct_v if_o she_o be_v on_o the_o west_n part_n of_o the_o 90°_n of_o the_o ecliptic_a prop._n xxxvi_o how_o by_o know_v the_o refraction_n of_o a_o star_n to_o find_v his_o true_a altitude_n for_o the_o speedy_a performance_n of_o which_o i_o have_v annex_v this_o table_n of_o refraction_n of_o the_o star_n observe_v by_o tycho_n brabe_n a_o nobleman_n of_o denmark_n and_o a_o most_o famous_a astronomer_n a_o table_n of_o the_o refraction_n of_o the_o star_n observe_v by_o tycho_n brabe_n altitude_n refraction_n o°_n 30_o 30_o 00_o 1_o 21_o 30_o 2_o 15_o 30_o 3_o 12_o 30_o 4_o 11_o 00_o 5_o 10_o 00_o 6_o 9_o 00_o 7_o 8_o 15_o 8_o 6_o 45_o 9_o 6_o 00_o 10_o 5_o 30_o 11_o 5_o 00_o 12_o 4_o 30_o 13_o 4_o 00_o 14_o 3_o 30_o 15_o 3_o 00_o 16_o 2_o 30_o 17_o 2_o 00_o 18_o 1_o 15_o 19_o 0_o 30_o 20_o 0_o 00_o the_o use_n of_o which_o table_n be_v thus_o example_n suppose_v the_o altitude_n of_o a_o star_n be_v find_v by_o observation_n to_o be_v 13°_n the_o correspondent_a refraction_n be_v 4_o '_o 00_o which_o substract_v from_o 13°_n leave_v 12°_n 56_o 56_o which_o be_v the_o true_a altitude_n chap._n vii_o of_o geography_n defin._n geography_n be_v a_o art_n mathematical_a which_o show_v how_o the_o situation_n of_o kingdom_n province_n city_n town_n village_n fort_n castle_n mountain_n wood_n havens_n rivers_n creek_n etc._n etc._n be_v on_o the_o surface_n of_o the_o terrestrial_a globe_n may_v be_v describe_v and_o design_v in_o commensuration_n analogical_a to_o nature_n and_o verity_n and_o most_o apt_o to_o our_o view_n may_v be_v represent_v ptolemy_n say_v of_o geography_n 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d that_o it_o be_v a_o description_n of_o all_o the_o know_a earth_n imitate_v by_o writing_n and_o delineation_n with_o all_o other_o thing_n belong_v thereunto_o of_o all_o which_o i_o shall_v say_v somewhat_o as_o to_o its_o situation_n commodity_n custom_n etc._n etc._n concern_v which_o ovid_n say_v met._n lib._n 2._o terra_fw-la viros_fw-la urbesque_fw-la gerit_fw-la frugesque_fw-la ferasque_fw-la fluminaque_fw-la haec_fw-la super_fw-la est_fw-la caeli_fw-la fulgentis_fw-la imago_fw-la in_o english_a thus._n the_o earth_n man_n tower_n fruit_n beast_n and_o rivers_n bear_v and_o over_o these_o be_v placee_v the_o heavenly_a sphere_n sect_n i._o of_o geographical_a definition_n defin._n 1._o the_o globe_n of_o the_o earth_n be_v a_o spherical_a body_n compose_v of_o earth_n and_o water_n and_o be_v divide_v into_o continent_n island_n and_o sea_n 2._o a_o continent_n be_v a_o great_a quantity_n of_o land_n not_o separate_v interlace_v or_o divide_v by_o the_o sea_n wherein_o be_v kingdom_n principality_n and_o nation_n as_o europe_n asia_n and_o africa_n be_v one_o continent_n and_o america_n be_v another_o 3._o a_o island_n be_v such_o a_o part_n of_o the_o earth_n that_o be_v environ_v round_o with_o water_n on_o every_o side_n as_o the_o isle_n of_o great_a britain_n java_n wight_n etc._n etc._n 4._o a_o peninsula_n be_v such_o a_o tract_n of_o land_n which_o be_v almost_o cut_v off_o from_o the_o main_a land_n and_o encompass_v round_o with_o water_n yet_o nevertheless_o be_v join_v unto_o the_o firm_a land_n by_o some_o little_a isthmus_n as_o peloponesus_fw-la peruviana_n taurica_n cymtryca_n and_o morea_n in_o the_o levant_n 5._o a_o isthmus_n be_v a_o little_a narrow_a neck_n of_o land_n which_o join_v the_o peninsula_n unto_o the_o continent_n 6._o a_o promontory_n be_v some_o high_a mountain_n which_o shoot_v itself_o into_o the_o sea_n the_o utmost_a end_n of_o which_o be_v call_v a_o cape_n as_o cape-boon_n esperance_fw-fr cape_n d'verde_v and_o cape_n d'coquibocao_o 7._o the_o ocean_n be_v a_o general_a collection_n of_o water_n which_o environ_v the_o world_n on_o every_o side_n and_o produce_v sea_n strait_o bay_n lake_n and_o river_n of_o which_o and_o other_o water_n ovid_n thus_o speak_v in_o his_o metamorphosis_n tum_o freta_fw-la diffudint_n rapidisque_fw-la tumescere_fw-la ventis_fw-la jussit_fw-la &_o ambitae_fw-la circundare_fw-la littora_fw-la terrae_fw-la he_o spread_v the_o sea_n which_o then_o he_o do_v command_v to_o swell_v with_o wind_n and_o compass_v round_o the_o land_n 8._o the_o sea_n be_v part_n of_o the_o ocean_n to_o which_o we_o can_v come_v but_o through_o some_o straight_a as_o the_o mediterranean_a or_o baltic_a sea._n 9_o a_o strait_n be_v a_o part_n of_o the_o ocean_n restrain_v within_o narrow_a bound_n yet_o open_v a_o way_n to_o the_o sea_n as_o the_o strait_o of_o gibraltar_n hellespont_n &c_n &c_n 10._o a_o creek_n be_v a_o crooked_a shoar_n thrust_v as_o it_o be_v two_o arm_n forth_o to_o hold_v the_o sea_n as_o the_o adriatic_a persian_a and_o corinthian_a creek_n from_o whence_o be_v produce_v river_n brook_n and_o fountain_n which_o be_v engender_v of_o congeal_a air_n in_o the_o earth_n concavity_n and_o second_v by_o sea-water_n creep_v through_o the_o hide_a cranny_n of_o the_o earth_n 11._o a_o bay_n be_v a_o great_a inlet_n of_o land_n as_o the_o bay_n of_o mexico_n and_o biscay_n 12._o a_o gulf_n be_v a_o great_a inlet_n of_o land_n and_o deep_a than_o a_o bay_n as_o the_o gulf_n of_o venice_n and_o florida_n 13._o a_o climate_n be_v a_o certain_a space_n of_o earth_n and_o sea_n include_v within_o the_o space_n of_o two_o parallel_n and_o there_o have_v be_v ancient_o account_v these_o seven_o viz._n 1._o dia_n meros_n 2._o dia_n syenes_n 3._o dia_n alexandria_n 4._o dia_n rhodes_n 5._o dia_n rhomes_fw-fr 6._o dia_n boristhenes_n and_o 7._o dia_n ripheos_n 14._o a_o zone_n be_v a_o certain_a space_n of_o earth_n contain_v betwixt_o certain_a circle_n of_o the_o sphere_n of_o which_o there_o be_v five_o viz._n the_o torrid_a or_o burn_a zone_n two_o temperate_a and_o two_o frigid_a or_o freeze_a zone_n the_o torrid_a zone_n be_v that_o which_o lie_v on_o each_o side_n the_o equinoctial_a who_o bound_n be_v the_o two_o tropic_n of_o ♋_o and_o ♑_o the_o two_o temperate_a zone_n be_v those_o which_o lie_v betwixt_o the_o two_o tropic_n of_o ♋_o and_o ♑_o and_o the_o palar_n circle_n
opposite_a point_n aries_n and_o libra_n and_o make_v a_o angle_n therewith_o call_v its_o obliquity_n of_o 23°_n 30_o 30_o represent_v by_o ♋_o ♎_o ♑_o this_o circle_n be_v divide_v into_o 12_o sin_n each_o contain_v 30°_n 00_o 00_o as_o aries_n 42._o ♈_o taurus_n ♉_o gemini_fw-la ♊_o cancer_n ♋_o leo_n ♌_o virgo_fw-la ♍_o which_o be_v call_v northern_a sines_n libra_n ♎_o scorpio_n ♏_o sagitarius_n ♐_o capricornus_fw-la ♑_o aquarius_n ♒_o and_o pisces_fw-la ♓_o these_o be_v call_v southern_a sines_n 7._o the_o zodiac_n be_v a_o zone_n or_o girdle_n have_v 8_o deg_n of_o latitude_n on_o either_o side_n the_o ecliptic_a in_o which_o space_n the_o planet_n make_v their_o revolution_n this_o circle_n be_v a_o circle_n which_o regulate_v the_o year_n month_n and_o season_n etc._n and_o be_v distinguish_v 42._o in_o the_o scheme_n by_o the_o 12_o sin_n 8._o the_o colour_n be_v two_o meridian_n divide_v the_o ecliptic_a and_o the_o equinoctial_a into_o four_o equal_a part_n one_o of_o which_o pass_v by_o the_o equinoctial_a 42._o point_n aries_n and_o libra_n and_o be_v call_v the_o equinoctial_a colour_n as_o p_o ♎_o s._n the_o other_o by_o the_o begin_n of_o cancer_n and_o capricorn_n and_o be_v call_v the_o solstitial_a colour_n as_o p_o ♋_o s_o ♑_o 9_o the_o pole_n of_o the_o ecliptic_a be_v two_o point_n 23°_n 30_o 30_o distant_a from_o the_o pole_n of_o the_o world_n as_o i_o and_o k._n 42._o 10._o the_o tropic_n be_v two_o small_a circle_n parallel_n unto_o the_o equinoctial_a and_o distant_a therefrom_o 23°_n 30_o 30_o limit_v the_o sun_n great_a declination_n the_o northern_a tropic_n pass_v by_o the_o begin_n of_o cancer_n and_o be_v therefore_o call_v the_o tropic_a of_o cancer_n as_o ♋_o a_o d._n the_o southern_a tropic_n 42_o pass_v by_o the_o begin_n of_o capricorn_n and_o be_v therefore_o call_v the_o tropic_a of_o capricorn_n as_o b_o b_o ♑_o 11._o the_o polar_a circle_n be_v two_o small_a circle_n parallel_v to_o the_o equinoctial_a and_o distant_a therefrom_o 66°_n 30_o 30_o and_o from_o the_o pole_n of_o the_o world_n 23°_n 30_o 30_o that_o which_o be_v adjacent_a unto_o the_o north_n pole_n be_v call_v the_o arctic_a circle_n as_o g_z d_o i._n and_o the_o other_o the_o antarctic_a circle_n as_o kd_v m._n 42._o 12._o the_o zenith_n and_o the_o nadir_n be_v two_o point_n diametrical_o opposite_a the_o one_o to_o the_o other_o the_o zenith_n be_v the_o vertical_a point_n or_o the_o point_n over_o our_o head_n as_o z_o the_o nadir_n be_v opposite_a thereto_o as_o the_o point_n n._n 13._o the_o azimuth_n or_o vertical_a circle_n be_v great_a circle_n of_o the_o sphere_n concur_v and_o intersect_v each_o other_o in_o the_o zenith_n and_o nadir_n as_o z_o f_o n._n 14_o the_o horizon_n be_v a_o great_a circle_n 90_o deg_n 42._o distant_a from_o the_o zenith_n and_o nadir_n cut_v all_o the_o azimuth_n at_o rightangle_v and_o divide_v the_o world_n into_o two_o equal_a part_n the_o upper_z and_o visible_a hemisphere_n and_o the_o low_a and_o invisible_a hemisphere_n represent_v by_o h_n ♎_o r._n 15._o the_o meridian_n of_o a_o place_n be_v that_o meridian_n which_o pass_v by_o the_o zenith_n and_o nadir_n of_o 42._o the_o place_n as_o p_o z_o s_o n._n 16._o the_o alinicanthar_n or_o parallel_n of_o altitude_n be_v small_a circle_n parallel_v unto_o the_o horizon_n imagine_v to_o ●pass_n through_o every_o degree_n and_o minute_n of_o the_o meridian_n between_o the_o zenith_n and_o horizon_n b_o a_o f._n 17._o parallel_n of_o latitude_n or_o declination_n be_v small_a circle_n parallel_v unto_o the_o equinoctial_a they_o 42._o be_v call_v parallel_n of_o latitude_n in_o respect_n to_o any_o place_n on_o the_o earth_n and_o parallel_n of_o declination_n in_o respect_n of_o the_o sun_n or_o star_n in_o the_o heaven_n 18._o the_o latitude_n of_o a_o place_n be_v the_o height_n of_o the_o pole_n above_o the_o horizon_n or_o the_o distance_n between_o the_o zenith_n and_o the_o equinoctial_a 19_o the_o latitude_n of_o a_o star_n be_v the_o arch_n of_o a_o circle_n contain_v betwixt_o the_o centre_n of_o a_o star_n and_o the_o ecliptic_a line_n this_o circle_n make_v right-angle_n with_o the_o ecliptic_a be_v account_v either_o northward_o or_o southward_o according_a to_o the_o situation_n of_o the_o star._n 20._o longitude_n on_o earth_n be_v measure_v by_o a_o arch_n of_o the_o equinoctial_a contain_v between_o the_o primary_n meridian_n or_o meridian_n of_o that_o place_n where_o longitude_n be_v assign_v to_o begin_v and_o the_o meridian_n of_o any_o other_o place_n count_v always_o easterly_a 21._o the_o longitude_n of_o a_o star_n be_v that_o part_n of_o the_o ecliptic_a which_o be_v contain_v between_o the_o star_n place_n in_o the_o ecliptic_a and_o the_o beginning_n of_o aries_n count_v they_o according_a unto_o the_o succession_n of_o sines_n 22._o the_o altitude_n of_o the_o sun_n or_o star_n be_v the_o arch_n of_o a_o azimuth_n contain_v betwixt_o the_o centre_n of_o the_o sun_n or_o star_n and_o the_o horizon_n 23._o ascension_n be_v the_o rise_n of_o any_o star_n or_o part_n of_o the_o equinoctial_a to_o any_o degree_n above_o the_o horizon_n and_o descension_n be_v the_o set_n of_o it_o 24._o right_o ascension_n be_v the_o number_n of_o degree_n and_o minute_n of_o the_o equinoctial_a i._n e._n from_o the_o begin_n of_o aries_n which_o come_v unto_o the_o meridian_n with_o the_o sun_n or_o star_n or_o with_o any_o portion_n of_o the_o ecliptic_a 25._o oblique-ascension_n be_v a_o arch_n of_o the_o equinoctial_a between_o the_o begin_n of_o aries_n and_o that_o part_n of_o the_o equinoctial_a which_o rise_v with_o the_o centre_n of_o a_o star_n or_o with_o any_o portion_n of_o the_o ecliptic_a in_o a_o oblique_a sphere_n and_o oblique_a descension_n be_v that_o part_n of_o the_o equinoctial_a tha●_n set_v therewith_o 26._o the_o ascentional_a difference_n be_v a_o arch_n of_o the_o equinoctial_a be_v the_o difference_n betwixt_o the_o right_n and_o oblique-ascension_n 27._o the_o amplitude_n of_o the_o sun_n or_o star_n be_v 43._o the_o distance_n of_o the_o rise_n or_o set_v thereof_o from_o the_o east_n or_o west_n point_n of_o the_o horizon_n 28._o the_o parallax_n be_v the_o difference_n between_o the_o true_a and_o apparent_a place_n of_o the_o sun_n or_o star_n so_o the_o true_a place_n in_o respect_n of_o altitude_n be_v in_o the_o line_n ace_n or_o adg_n the_o sun_n or_o star_n be_v at_o c_o or_o d_o and_o the_o apparent_a place_n in_o the_o line_n bcf_n and_o bdh_n so_o likewise_o the_o angle_n of_o the_o parallax_n be_v acb_n or_o ecf_n and_o adb_n or_o gdb_v also_o in_o the_o say_a scheme_n abk_n represent_v a_o 43._o quadrent_fw-la of_o the_o globe_n or_o earth_n on_o the_o earth_n superficies_n a_o the_o centre_n of_o the_o earth_n and_o b_o any_o point_n of_o the_o earth_n surface_n 29._o the_o refraction_n of_o a_o star_n be_v cause_v by_o the_o atmosphere_n or_o vapourous_a thickness_n of_o the_o air_n near_o the_o earth_n superficies_n whereby_o the_o sun_n and_o star_n seem_v always_o to_o rise_v soon_o and_o and_o set_v late_a than_o real_o they_o do_v sect_n ii_o of_o astronomical_a proposition_n prop._n i._n the_o distance_n of_o the_o sun_n from_o the_o next_o equinoctial_a point_n either_o aries_n or_o libra_n be_v know_v to_o find_v his_o declination_n the_o analogy_n or_o proportion_n as_o radius_fw-la or_o s._n 90°_n to_o s._n of_o the_o sun_n distance_n from_o the_o next_o equinoctial_a point_n so_o it_o s._n of_o the_o sun_n be_v great_a declination_n to_o the_o s._n of_o the_o sun_n be_v present_a declination_n seek_v prop._n ii_o the_o sun_n place_n give_v to_o find_v his_o right-ascension_n this_o be_v the_o analogy_n or_o proportion_n as_o radius_fw-la or_o s._n 90°_n to_o t._n of_o the_o sun_n longitude_n from_o the_o next_o equinoctial_a point_n so_o be_v the_o sc._n of_o his_o great_a declination_n to_o t._n of_o his_o right-ascension_n from_o the_o next_o equinoctial_a point_n prop._n iii_o to_o find_v the_o sun_n place_n or_o longitude_n from_o aries_n his_o declination_n be_v give_v this_o be_v the_o analogy_n or_o proportion_n as_o s._n of_o the_o sun_n great_a declination_n to_o radius_fw-la or_o s._n 90°_n 00_o 00_o so_o be_v s._n of_o his_o present_a declination_n to_o s._n of_o the_o sun_n place_n or_o longitude_n from_o aries_n sin_n prop._n iu._n by_o know_v the_o sun_n declination_n to_o find_v his_o right_a ascension_n this_o be_v the_o analogy_n or_o proportion_n as_o radius_fw-la or_o s._n 90°_n to_o tc._n of_o the_o sun_n great_a declination_n so_o be_v t._n of_o the_o declination_n give_v to_o s._n of_o the_o sun_n right_a ascension_n require_v ♎_o prop._n v._o by_o know_v the_o latitude_n of_o a_o place_n and_o the_o sun_n declination_n to_o find_v the_o ascensional_a