0.05401_o place_v require_v in_o the_o year_n 1674_o compl_a 7.95678_o chap._n xv._n of_o the_o theory_n of_o the_o moon_n and_o the_o find_v the_o place_n of_o she_o apogaeon_fw-mi quantity_n of_o excentricity_n and_o middle_a motion_n the_o moon_n be_v a_o secondary_a planet_n move_v about_o the_o earth_n as_o the_o earth_n and_o other_o planet_n do_v about_o the_o sun_n and_o so_o not_o only_o the_o earth_n but_o the_o whole_a system_n of_o the_o moon_n be_v also_o carry_v about_o the_o sun_n in_o a_o year_n and_o hence_o according_a to_o hipparchus_n there_o arise_v a_o twofold_a but_o according_a to_o tycho_n a_o threefold_a inequality_n in_o the_o moon_n motion_n the_o first_o be_v periodical_a and_o be_v to_o be_v obtain_v after_o the_o same_o manner_n as_o be_v the_o eccentric_a aequation_n of_o the_o sun_n or_o earth_n in_o order_n whereunto_o we_o will_v first_o show_v how_o the_o place_n of_o she_o apogaeon_fw-mi and_o excentricity_n may_v be_v find_v at_o bononia_n in_o italy_n who_o longitude_n be_v 13_o degree_n eastward_o from_o the_o meridian_n of_o london_n ricciolus_n and_o other_o observe_v the_o apparent_a time_n of_o the_o middle_n of_o three_o lunar_a eclipse_n to_o be_v as_o follow_v the_o first_o 1642._o april_n the_o 4._o at_o 14_o hour_n and_o 4_o minute_n the_o second_o 1642_o september_n 27_o at_o 16_o hour_n and_o 46_o minute_n the_o three_o 1643._o september_n 17_o at_o 7_o hour_n and_o 31_o minute_n the_o equal_a time_n reduce_v to_o the_o meridian_n of_o london_n with_o the_o place_n of_o the_o sun_n in_o these_o three_o observation_n according_a to_o mr._n street_n in_o the_o 25_o page_n of_o his_o astronomia_fw-la carolina_n be_v thus_o anno_fw-la mens_fw-la d._n h._n d._n 1642._o april_n 4._o 13._o 37._o ♈_o 25._o 6._o 54_o 1642._o septemb_n 27._o 15._o 57_o ♎_o 14._o 50._o 09_o 1643._o sehtemb_v 17._o 6._o 46_o ♎_o 4._o 20._o 20_o hence_o the_o place_n of_o the_o moon_n in_o the_o first_o observation_n be_v in_o ♎_o 25._o 6′_n 54._o in_o the_o second_n ♈_o 14._o 50._o 9_o in_o the_o third_n ♓_o 4._o 20._o 20._o now_o then_o in_o fig._n 10._o let_v the_o circle_n bhdgfe_n denote_v the_o moon_n aequant_fw-la t_n the_o centre_n of_o the_o earth_n the_o semidiameter_n td_v te_fw-la and_o tf_n the_o apparent_a place_n of_o the_o moon_n in_o the_o first_o second_o and_o three_o observation_n c_o the_o centre_n of_o the_o eccentric_a cd_o ce_fw-fr and_o cf_n the_o line_n of_o middle_a motion_n from_o the_o first_o observation_n to_o the_o second_o there_o be_v 176_o d._n 2_o h._n 20′_n the_o true_a motion_n of_o the_o moon_n be_v deg_n 169._o 43._o 15″_n the_o motion_n of_o the_o apogaeon_fw-mi subtract_v 19_o 37._o 07_o the_o motion_n of_o the_o true_a anomaly_n be_v the_o arch_n de_fw-fr 150._o 06._o 08_o the_o motion_n of_o the_o mean_a anomaly_n dce_v 140._o 42._o 28_o from_o the_o first_o observation_n to_o the_o three_o there_o be_v 530_o d._n 17_o h._n 9_o the_o true_a motion_n of_o the_o moon_n be_v degree_n 159._o 13._o 26_o the_o motion_n of_o the_o apogaeon_fw-mi subtract_v 159._o 07._o 32_o the_o motion_n of_o the_o true_a anomaly_n be_v the_o arch_n df_n 100_o 05._o 54_o the_o motion_n of_o the_o mean_a anomaly_n dcf_n 93._o 46._o 45_o and_o deduct_v the_o arch_n dgf_n from_o the_o arch_a dfe_n the_o remainder_n be_v the_o arch_n fe_o 50._o 00._o 14_o and_o deduct_v the_o angle_n dcf_n from_o the_o angle_n dce_n the_o remainder_n be_v the_o angle_n fce_n 46._o 55._o 43_o suppose_v 10.00000000_o the_o logarithm_n of_o dc_o continue_v fc_a to_o h_n and_o with_o the_o other_o right_a line_n complete_a the_o diagram_n 1._o in_o the_o triangle_n dch_o we_o have_v give_v the_o angle_n dch_o 86._o 13._o 15._o the_o compliment_n of_o dcf_n 93._o 46._o 45_o to_o a_o semicircle_n the_o angle_n dhc_n 50._o 02._o 57_o the_o half_a of_o the_o arch_n df_n and_o the_o side_n cd_o 1000000._o to_o find_v ch._n as_o the_o sine_fw-la of_o dhc_fw-la 50._o 02._o 57_o 9.88456640_o to_o the_o side_n dc_o so_o the_o sine_fw-la of_o hdc_fw-la 43._o 43._o 48._o 19.83964197_o to_o the_o side_n ca_n 9.95507557_o 2_o in_o the_o triangle_n hce_n we_o have_v give_v ch_z as_o before_o the_o angle_n vhe_fw-it 25._o 00._o 07._o the_o half_a of_o the_o arch_n fe_o the_o angle_n hce_n 133._o 04._o 17_o the_o compliment_n of_o fce_n and_o by_o consequence_n the_o angle_n ceh_n 21._o 55._o 36_o to_o find_v the_o side_n ce._n as_o the_o sine_fw-la of_o ceh_n 21._o 55._o 36_o 9.57219707_o to_o the_o side_n ch_n 19.95507557_o so_o be_v the_o sine_fw-la of_o i_o 25._o 00._o 07_o 9.62597986_o to_o the_o sine_fw-la ce_fw-fr 19.58105543_o 10.00885836_o 3._o in_o the_o triangle_n dce_n we_o have_v give_v dc_o ce_fw-fr and_o the_o angle_n dce_n 140._o 42._o 28._o who_o compliment_n 39_o 17._o 32_o be_v the_o sum_n of_o the_o angle_n to_o find_v the_o angle_n ce_v and_o de_fw-fr as_o the_o great_a side_n ce_fw-fr 10.00885836_o be_v to_o the_o lesser_a side_n dc_o 10.00000000_o so_o be_v the_o radius_fw-la 10.00000000_o to_o the_o tang_n of_o 44._o 24._o 54_o 19.99114164_o which_o subtract_v from_o 45._o 2_o the_o remainder_n be_v the_o half_a difference_n of_o the_o acute_a angle_n 35._o 16._o  _fw-fr as_o the_o radius_fw-la to_o the_o tang_n of_o the_o come_v 35._o 16_o 8.01109962_o be_v to_o the_o tang_n of_o the_o frac12_n z._n 19_o 38._o 46_o 9.55265735_o to_o the_o tang_n of_o frac12_n x._o 00._o 12._o 35_o 7.56375697_o their_o sum_n 19_o 51._o 21._o be_v the_o angle_n cde_v  _fw-fr their_a difference_n 19_o 26._o 11._o be_v the_o angle_n ce_v  _fw-fr as_o the_o sine_fw-la of_o ced_a 19_o 26._o 11._o 9.52216126_o be_v to_o the_o sine_fw-la of_o dce_n 140._o 42._o 28._o 9.80159290_o so_o be_v the_o side_n aec_fw-la 10.00000000_o to_o the_o side_n de._n 10.27943164_o 4._o in_o the_o isosceles_a triangle_n dte_n we_o have_v give_v the_o side_n de_fw-fr the_o angle_n dte_n 150._o 06._o 08_o who_o compliment_n 29._o 53._o 52_o be_v the_o sum_n of_o the_o other_o two_o angle_n the_o half_a whereof_o be_v the_o angle_n tde_fw-mi 14._o 56._o 56_o which_o be_v subtract_v from_o the_o angle_n cde_v 19_o 51._o 21_o the_o remainder_n be_v the_o angle_n cdt_n 4._o 54._o 25._o as_o the_o sine_fw-la of_o dte_fw-la 150._o 06._o 08_o co._n be_v 0.30237482_o be_v to_o the_o sine_fw-la of_o det_fw-la 14._o 56._o 56_o 9.41154778_o so_o be_v the_o side_n de_fw-fr 10.27943164_o to_o the_o side_n dt_n 9.99335424_o 5._o in_o the_o triangle_n cdt_n we_o have_v give_v dc_o dt_n and_o the_o angle_n cdt_n to_o find_v ctd_n and_o et_fw-la as_o the_o side_n dt_n 9.99335424_o be_v to_o the_o side_n dc_o 10.00000000_o so_o be_v the_o rad._n 10.00000000_o to_o the_o tang_n of_o 26._o 18_o 10.00664576_o deduct_v 45._o as_o the_o radius_fw-la be_v to_o the_o sine_fw-la of_o the_o remainder_n 0._o 26._o 18._o 7.88368672_o so_o be_v the_o tang_n of_o the_o frac12_n z_o angle_v 87._o 32._o 57_o 11.36854996_o to_o the_o tang_n frac12_n x_o angle_n 10._o 08._o 04_o 9.25223668_o their_o sum_n 97._o 41._o 01_o be_v the_o angle_n ctd_v as_o the_o sine_fw-la of_o ctd_n 97._o 41._o 01._o co._n be_v 0.00391693_o be_v to_o the_o side_n dc_o 10.00000000_o so_o be_v the_o sine_fw-la of_o cdt_n 4._o 54._o 25_o 8.93215746_o to_o the_o side_n et_fw-la 8.93607439_o  _fw-fr s._n d._n the_o place_n of_o the_o moon_n in_o the_o first_o observation_n 6._o 25._o 06._o 54_o the_o true_a anomaly_n ctd_n sub_fw-la 3._o 07._o 41._o 01_o the_o place_n of_o the_o apogaeon_fw-mi 3._o 17._o 25._o 53_o ☽_o place_n in_o the_o first_o observation_n 6._o 25._o 06._o 54_o the_o aequation_n cdt_n add._n 04._o 54._o 25_o the_o ☽_o mean_v longitude_n 7._o 00._o 01._o 19_o from_o which_o subtract_v the_o place_n of_o the_o apogeon_n 3._o 27._o 25._o 53_o there_o rest_v the_o mean_a anomaly_n bcd_v 3._o 12._o 35._o 26_o and_o for_o the_o excentricity_n in_o such_o part_n as_o the_o radius_fw-la of_o the_o aequant_fw-la be_v 100000_o the_o proportion_n be_v dt_n 9.99335424_o et_fw-la 8.93607439_o 100000_o 5.00000000_o 8764_o 3.94272015_o and_o this_o be_v the_o method_n for_o find_v the_o place_n of_o the_o moon_n apogaeon_fw-mi and_o excentricity_n and_o from_o these_o and_o many_o other_o eclipse_n as_o well_o solar_a as_o lunar_a mr._n street_n limit_n the_o place_n of_o the_o ☽_o apogaeon_n to_o be_v at_o the_o time_n of_o the_o first_o observation_n 21′_n 04″_n more_o and_o the_o mean_a anomaly_n 20._o 41″_n less_o and_o the_o excentricity_n 8765_o such_o part_n as_o the_o radius_fw-la of_o the_o aequant_fw-la be_v 100000._o and_o by_o compare_v sundry_a observation_n both_o ancient_a and_o modern_a he_o collect_v the_o middle_a motion_n of_o the_o moon_n from_o she_o apogaeon_fw-mi to_o be_v in_o the_o space_n of_o four_o julian_n year_n
rectify_v to_o the_o begin_n of_o the_o year_n of_o man_n redemption_n 1601._o the_o name_n of_o the_o star_n longit._n latit_fw-la the_o first_o star_n of_o aries_n 07.671_o ♈_o 7._o 8._o n_o 4_o the_o bright_a star_n in_o the_o top_n of_o the_o head_n of_o aries_n 00.583_o ♉_o 9_o 57_o n_o 3_o the_o south_n eye_n of_o taurus_n 01.169_o â—_o 5._o 31._o s_o 1_o the_o north_n eye_n of_o taurus_n 00.801_o â—_o 5._o 31._o s_o 1_o the_o bright_a star_n of_o the_o pleyade_n 06.620_o ♉_o 2._o 6._o s_o 3_o the_o high_a head_n of_o gemini_fw-la 04.078_o â—_o 4._o 11._o n_o 5_o the_o low_a head_n of_o gemini_fw-la 04.921_o ♋_o 10._o 2._o n_o 2_o the_o bright_a foot_n of_o gemini_fw-la 01.069_o ♋_o 6._o 38._o n_o 2_o in_o the_o south_n arm_v of_o cancer_n 02.238_o ♌_o 6._o 48._o s_o 2_o the_o bright_a star_n in_o the_o neck_n of_o leo._n 06.662_o ♌_o 5._o 8._o s_o 3_o the_o heart_n of_o leo._n 06.745_o ♌_o â—_o 47_o n_o 2_o in_o the_o extreme_a of_o the_o tail_n of_o leo._n 04.458_o â™_o 0._o 26._o n_o 1_o in_o virgo_n wing_n vindemiatrix_n 01.217_o ♎_o 12._o 18._o n_o 1_o virgin_n spike_n 05.074_o ♎_o 16._o 15._o n_o 3_o south_n ballance_n 02.643_o â™_o 1._o 59_o s_o 1_o north_n ballance_n 03.833_o â™_o 0._o 26._o n_o 2_o the_o high_a in_o the_o forehead_n of_o scorpio_n 07.388_o â™_o 8._o 35._o n_o 2_o the_o scorpion_n heart_n 01.171_o â—_o 1._o 05._o n_o 3_o former_a of_o the_o 3_o in_o the_o head_n of_o sagittarius_fw-la 02.203_o â—_o 4._o 27._o s_o 1_o northern_a in_o the_o former_a horn_n of_o capricorn_n 07.861_o â—_o 1._o 24._o n_o 4_o the_o left_a shoulder_n of_o aquarius_n 04.949_o â™’_o 7._o 22._o n_o 3_o in_o the_o mouth_n of_o the_o south_n fish_n 03.620_o ♓_o 8._o 42._o n_o 3_o the_o polar_a star_n or_o last_o star_n in_o the_o â—ail_n of_o the_o lesser_a bear_n  _fw-fr 9_o 4._o n_o 5_o  _fw-fr 06.400_o â—_o 66._o 02._o n_o 2_o the_o last_o star_n in_o the_o tail_n of_o the_o great_a bear_n 05.888_o â™_o 54._o 25._o n_o 2_o the_o tonguâ—_n of_o the_o dragon_n 05.259_o â™_o 76._o 17._o n_o 4_o arcturus_n in_o the_o skirt_n of_o his_o garment_n 05.181_o ♎_o 31._o 2._o n_o 1_o the_o bright_a star_n of_o the_o north_n crown_n 01.845_o â™_o 44._o 23._o n_o 2_o the_o head_n of_o hercules_n 02.921_o â—_o 37._o 23._o n_o â—_o the_o bright_a sâ—â—r_n of_o the_o harp_n 0â—_n 699_o â—_o 61._o 47._o n_o â—_o the_o head_n of_o medusa_n 05.727_o ♉_o 22._o 22._o n_o 3_o the_o bright_a star_n in_o the_o goaâ—s_v leave_v shoulder_n 04.518_o ♊_o 22._o 50._o n_o 1_o the_o middle_n of_o the_o serpent_n neck_n 04.583_o â™_o 25._o 35._o n_o 2_o the_o bright_a star_n in_o the_o eagle_n shoulder_n 07.264_o ♑_o 29._o 21._o n_o 2_o the_o bright_a star_n in_o the_o 〈◊〉_d tail_n 02.370_o â™’_o 29._o 8._o n_o 3_o the_o mouth_n of_o pegasâ—s_n 07_o 3â—4_n â™’_o 22._o 7._o n_o 3_o the_o head_n of_o andâ—omeda_n 0â—_n 4â—0_n ♈_o â—5_n 42._o n_o 2_o in_o the_o top_n of_o the_o triangle_n 00.366_o ♉_o 16._o 49._o n_o 4_o in_o the_o snout_z of_o the_o whale_n 02.643_o ♉_o 7._o 50._o saint_n the_o bright_a star_n in_o the_o whale_n tail_n 07.481_o ♓_o 20._o 47._o s_o 2_o bright_a shoulder_n of_o orion_n 06.444_o ♊_o 16.06_o saint_n 2_o middlemost_a in_o the_o belt_n of_o orion_n 04.972_o ♊_o 24._o 33._o s_o 2_o the_o last_o in_o the_o tail_n of_o the_o harâ—_n 0â—_n 324_o ♊_o 38._o 26._o s_o 4_o the_o great_a dog_n mouth_n sirius_n 02.386_o â—_o 38._o 30._o s_o 1_o the_o lesser_a dog_n procyon_n 05.641_o â—_o 1â—_n 57_o s_o 2_o in_o the_o top_n of_o the_o ship_n stern_a 01.636_o ♌_o 43._o 18._o s_o 3_o bright_a in_o hydra_n heart_n 06.044_o ♌_o 22._o 24._o s_o 1_o finis_fw-la the_o content_n of_o the_o first_o part_n contain_v the_o practical_a geometry_n or_o the_o art_n of_o survey_v chapter_n 1._o of_o the_o definition_n and_o division_n of_o geometry_n chap._n 2._o of_o figure_n in_o the_o general_n more_o particular_o of_o a_o circle_n and_o the_o affection_n thereof_o chap._n 3._o of_o triangle_n chap._n 4._o of_o quadrangular_a and_o multangular_a figure_n chap._n 5._o solid_n body_n chap._n 6._o of_o the_o measure_n of_o line_n both_o right_o and_o circular_a chap._n 7._o of_o the_o measure_n of_o a_o circle_n chap._n 8._o of_o the_o measure_n of_o plain_a triangle_n chap._n 9_o of_o the_o measure_n of_o height_n and_o distance_n chap._n 10._o of_o the_o take_n of_o distance_n chap._n 11._o how_o to_o take_v the_o plot_n of_o a_o field_n at_o one_o station_n etc._n etc._n chap._n 12._o how_o to_o take_v the_o plot_n of_o a_o wood_n park_n or_o other_o champion_n plane_n etc._n etc._n chap._n 13._o the_o plot_n of_o a_o field_n be_v take_v by_o a_o instrument_n how_o to_o compute_v the_o content_a thereof_o in_o acre_n rood_n and_o perch_n chap._n 14._o how_o to_o take_v the_o plot_n of_o mountainous_a and_o uneven_a ground_n etc._n etc._n chap._n 15._o to_o reduce_v statute_n measure_n into_o customary_a and_o the_o contrary_n chap._n 16_o of_o the_o measure_n of_o solid_a body_n table_n a_o table_n of_o square_n page_n 99_o a_o table_n for_o the_o gauge_v of_o wine_n vessel_n 114_o a_o table_n for_o the_o gauge_v of_o beer_n and_o ale_n vessel_n 120_o a_o table_n show_v the_o three_o part_n of_o the_o areas_n of_o circle_n in_o foot_n measure_n and_o deoimal_n part_n of_o a_o foot_n 132_o a_o table_n show_v the_o three_o part_n of_o the_o area_n of_o any_o circle_n in_o foot_n measure_n not_o exceed_v 10_o f._n circumf_n 136_o a_o table_n for_o the_o speedy_a find_n of_o the_o length_n or_o circumference_n answer_v to_o any_o arch_n in_o degree_n and_o decimal_a part_n 151_o a_o common_a divisor_n for_o the_o speedy_a convert_n of_o the_o table_n show_v the_o areas_n of_o the_o segment_n of_o a_o circle_n who_o diameter_n be_v 2_o etc._n etc._n 154_o a_o table_n show_v the_o ordinates_n arch_n and_o a_o reaâ—_n of_o the_o segment_n of_o a_o circle_n who_o diameter_n be_v 〈◊〉_d etc._n etc._n 156_o the_o content_n of_o the_o second_o part_n of_o this_o treatise_n of_o the_o doctrine_n of_o the_o primum_fw-la mobile_n chap._n 1._o of_o the_o general_n subject_a of_o astronomy_n chap._n 2._o of_o the_o distinction_n and_o affection_n of_o spherical_a line_n and_o arch_n chap._n 3._o of_o the_o kind_n and_o part_n of_o spherical_a triangle_n and_o how_o to_o project_v the_o same_o upon_o the_o plane_n of_o the_o meridian_n chap._n 4._o of_o the_o solution_n of_o spherical_a triangle_n chap._n 5._o of_o such_o spherical_a problem_n as_o be_v of_o most_o general_a use_n in_o the_o doctrine_n of_o the_o primum_fw-la mobile_n etc._n etc._n the_o content_n of_o the_o three_o part_n of_o this_o treatise_n be_v a_o account_n of_o the_o civil_a year_n with_o the_o reason_n of_o the_o difference_n between_o the_o julian_n and_o gregorian_a calendar_n and_o the_o manner_n of_o compute_v the_o place_n of_o the_o sun_n and_o moon_n chap._n 1._o of_o the_o year_n civil_a and_o astronomical_a chap._n 2._o of_o the_o cycle_n of_o the_o moon_n what_o it_o be_v how_o place_v in_o the_o calendar_n and_o to_o what_o purpose_n chap._n 3._o of_o the_o use_n of_o the_o golden_a number_n in_o find_v the_o feast_n of_o easter_n chap._n 4._o of_o the_o reformation_n of_o the_o calendar_n by_o pope_n gregory_n the_o thirteen_o etc._n etc._n chap._n 5._o of_o the_o moon_n mean_a motion_n and_o how_o the_o anticipation_n of_o the_o new_a moon_n may_v be_v discover_v by_o the_o epirote_n chap._n 6._o to_o find_v the_o dominical_a letter_n and_o feast_n of_o easter_n according_a to_o the_o gregorian_a account_n chap._n 7._o how_o to_o reduce_v sexagenary_a number_n into_o decimal_n and_o the_o contrary_n chap._n 8._o of_o the_o difference_n of_o meridian_n chap._n 9_o of_o the_o theory_n of_o the_o sun_n or_o earth_n motion_n chap_n 10._o of_o the_o find_n of_o the_o sun_n apogaeon_fw-mi quantity_n of_o excentricity_n and_o middle_a motion_n chap._n 11._o of_o the_o quantity_n of_o the_o tropical_a and_o sidereal_a year_n chap._n 12._o of_o the_o sun_n mean_a motion_n otherwise_o state_v chap._n 13._o how_o to_o calculate_v the_o sun_n true_a place_n by_o either_o of_o the_o table_n of_o 〈◊〉_d middle_a motion_n i_o 〈…〉_z chap._n 14._o to_o find_v the_o place_n of_o the_o fix_a star_n chap._n 15._o of_o the_o theory_n of_o the_o moon_n and_o the_o find_v the_o place_n of_o she_o apogaeon_fw-mi quantity_n of_o excentricity_n and_o middle_a motion_n chap._n 16._o of_o the_o find_n of_o the_o place_n and_o motion_n of_o the_o moon_n nodes_fw-la chap._n 17._o how_o to_o calculate_v the_o moon_n true_a place_n in_o she_o orbs._n chap._n 18._o to_o compute_v the_o true_a latitude_n of_o the_o moon_n and_o
watery_a part_n of_o this_o globe_n may_v be_v also_o distinguish_v by_o diverse_a name_n as_o sea_n river_n pond_n lake_n and_o such_o like_a 11._o and_o this_o terrestrial_a globe_n may_v be_v measure_v either_o in_o whole_a or_o in_o any_o particular_a part_n 12._o the_o measure_n of_o this_o earthly_a globe_n in_o whole_a be_v either_o in_o respect_n of_o its_o circumference_n â—o_o its_o bulk_n and_o thickness_n 13._o for_o the_o measure_n of_o the_o earth_n circumference_n it_o be_v suppose_v to_o be_v compass_v with_o a_o great_a circle_n and_o this_o circle_n in_o imitation_n of_o astronomer_n be_v divide_v into_o 360_o degree_n or_o part_n and_o each_o degree_n be_v suppose_v to_o be_v equal_a to_o 15_o common_a german_a mile_n or_o 60_o mile_n with_o we_o in_o england_n and_o hence_o the_o circumference_n of_o the_o earth_n be_v find_v by_o multiply_v 360_o by_o 15_o to_o be_v 5400_o german_a mile_n or_o multiply_v 360_o by_o 60_o the_o circumference_n be_v 21600_o english_a mile_n 14._o the_o circumference_n of_o the_o earth_n be_v thus_o obtain_v the_o diameter_n may_v be_v find_v by_o the_o common_a proportion_n between_o the_o circumference_n and_o the_o diameter_n of_o a_o circle_n the_o which_o according_a to_o archimedes_n be_v as_o 22_o to_o 7_o or_o according_a to_o van_n culen_n as_o 1_o to_o 3._o 14159._o and_o to_o bring_v a_o unite_v in_o the_o first_o place_n as_o the_o circumference_n 3._o 14159._o be_v to_o 1_o the_o diameter_n so_o be_v 1_o the_o circumference_n to_o 318308_o the_o diameter_n which_o be_v multiply_v by_o 5400_o the_o earth_n diameter_n will_v be_v find_v to_o be_v 1718_o german_a mile_n and_o 8632_o part_n but_o be_v multiply_v by_o 21600_o the_o diameter_n will_v be_v 6875_o english_a mile_n and_o part_n 4528._o 15._o the_o measure_n of_o the_o earth_n be_v thus_o find_v in_o respect_n of_o its_o whole_a circumference_n and_o diameter_n that_o which_o be_v next_o to_o be_v consider_v be_v the_o distinction_n of_o it_o into_o convenient_a space_n 16._o and_o this_o be_v either_o primary_n or_o secondary_a 17._o the_o primary_n distinction_n of_o the_o earthly_a globe_n into_o convenient_a space_n be_v by_o circle_n consider_v absolute_o in_o themselves_o divide_v the_o globe_n into_o several_a part_n without_o any_o reference_n to_o one_o another_o dutch_a geographer_n incline_v much_o to_o the_o bring_v back_o the_o great_a meridian_n to_o the_o fortunate_a island_n more_o particular_o to_o the_o peak_n a_o mountain_n so_o call_v from_o the_o sharpness_n in_o the_o top_n in_o the_o isle_n teneriff_n which_o be_v believe_v to_o be_v the_o high_a mountain_n in_o the_o world_n therefore_o the_o same_o johnson_n in_o his_o great_a globe_n of_o the_o year_n 1616_o have_v draw_v the_o great_a meridian_n in_o that_o place_n and_o it_o be_v to_o be_v wish_v that_o this_o may_v be_v make_v the_o common_a and_o unchangeable_a practice_n 25._o the_o horizon_n be_v a_o great_a circle_n design_v so_o great_a a_o part_n of_o the_o earth_n as_o a_o quick_a sight_n can_v discern_v in_o a_o open_a field_n it_o be_v twofold_a rational_a and_o sensible_a 26._o the_o rational_a horizon_n be_v that_o which_o be_v suppose_v to_o pass_v through_o the_o centre_n of_o the_o earth_n and_o be_v represent_v by_o the_o wooden_a circle_n in_o the_o frame_n as_o well_o of_o the_o celestial_a as_o the_o terrestrial_a globe_n this_o rational_a horizon_n belong_v more_o to_o astronomy_n than_o geography_n 27._o the_o sensible_a horizon_n be_v that_o before_o define_v the_o use_n of_o it_o be_v to_o discern_v the_o divers_a rise_n and_o setting_n of_o the_o star_n in_o divers_a place_n of_o the_o earth_n and_o why_o the_o day_n be_v sometime_o long_o and_o sometime_o short_a 28._o the_o great_a but_o less_o principal_a circle_n upon_o the_o terrestrial_a globe_n be_v the_o zodiac_n in_o which_o the_o sun_n do_v always_o move_v this_o circle_n be_v describe_v upon_o globe_n and_o map_n for_o ornament_n sake_n and_o to_o discover_v under_o what_o part_n of_o the_o zodiac_n the_o several_a nation_n lie_v 29._o the_o lesser_a circle_n be_v those_o which_o do_v not_o divide_v the_o terrestrial_a globe_n into_o two_o equal_a but_o into_o two_o unequal_a part_n and_o these_o by_o a_o general_a name_n be_v call_v parallel_n or_o circle_n aequidistant_a from_o the_o equinoctial_a of_o which_o as_o many_o may_v be_v draw_v as_o there_o can_v meridian_n namely_o 180_o if_o but_o to_o each_o degree_n but_o they_o be_v usual_o draw_v to_o every_o ten_o degree_n in_o each_o quadrant_n from_o the_o aequator_fw-la to_o the_o pole_n 30._o these_o parallel_n be_v not_o of_o the_o same_o magnitude_n but_o be_v less_o and_o less_o as_o they_o be_v near_o and_o near_o to_o each_o pole_n and_o their_o use_n be_v to_o distinguish_v the_o zone_n climate_n and_o latitude_n of_o all_o country_n with_o the_o length_n of_o the_o day_n and_o night_n in_o any_o part_n of_o the_o world_n 31._o again_o a_o parallel_n be_v either_o name_v or_o unname_v 32._o a_o unnamed_a parallel_n be_v that_o which_o be_v draw_v with_o small_a black_a circular_a line_n 33._o a_o name_v parallel_n be_v that_o which_o be_v draw_v upon_o the_o globe_n with_o a_o more_o full_a ruddy_a and_o circular_a line_n such_o as_o be_v the_o tropic_n of_o cancer_n and_o capricorn_n with_o the_o arctic_a and_o antarctick_a circle_n of_o which_o have_v speak_v before_o in_o the_o general_a description_n of_o the_o globe_n there_o be_v no_o need_n of_o add_v more_o concern_v they_o now_o chap._n ii_o of_o the_o distinction_n or_o dimension_n of_o the_o earthly_a globe_n by_o zone_n and_o climate_n have_v show_v the_o primary_n distinction_n of_o the_o globe_n into_o convenient_a space_n by_o circle_n consider_v absolute_o in_o themselves_o we_o come_v now_o to_o consider_v the_o secondary_a dimension_n or_o distinction_n of_o convenient_a space_n in_o the_o globe_n by_o the_o same_o circle_n compare_v with_o one_o another_o and_o by_o the_o space_n contain_v between_o those_o circle_n 2._o this_o secundary_a dimension_n or_o distinction_n of_o the_o terrestrial_a globe_n into_o part_n be_v either_o a_o zone_n or_o a_o clime_n 3._o a_o zone_n be_v a_o space_n of_o the_o terrestrial_a globe_n include_v either_o between_o two_o of_o the_o lesser_a nominate_v circle_n or_o between_o one_o and_o either_o pole_n they_o be_v in_o number_n five_o one_o over_o hot_a two_o over_o cold_a and_o two_o temperate_a 4._o the_o over_o hot_a or_o torrid_a zone_n be_v between_o the_o two_o tropic_n continual_o scorch_v with_o the_o presence_n of_o the_o sun_n 5._o the_o two_o over_o cold_a or_o frigid_a zone_n be_v situate_v between_o the_o two_o polar_n circle_n and_o the_o very_a pole_n continual_o want_v the_o neighbour_n hood_n of_o the_o sun_n 6._o the_o two_o temperate_a zone_n be_v one_o of_o they_o between_o the_o tropic_a of_o cancer_n and_o the_o arctic_a circle_n and_o the_o other_o between_o the_o tropic_a of_o capricorn_n and_o the_o antarctick_a circle_n enjoin_v a_o indifferency_n between_o heat_n and_o cold_a so_o that_o the_o part_n next_o the_o torrid_a zone_n be_v the_o hot_a and_o the_o part_n next_o the_o frigid_a zone_n be_v the_o cold_o 7._o the_o inhabitant_n of_o these_o zone_n in_o respect_n of_o the_o diversity_n of_o their_o noon_n shadow_n be_v divide_v into_o three_o kind_n amphiscii_n heteroscii_n and_o periscii_n those_o that_o inhabit_v between_o the_o two_o tropic_n be_v call_v amphiscii_n because_o that_o their_o noon_n shadow_n be_v diverse_o cast_v sometime_o towards_o the_o south_n as_o when_o the_o sun_n be_v more_o northward_o than_o their_o vertical_a point_n and_o sometime_o towards_o the_o north_n as_o when_o the_o sun_n decline_v southward_o from_o the_o zenith_n those_o that_o live_v between_o the_o tropic_a of_o cancer_n and_o the_o arctic_a circle_n or_o between_o the_o tropic_a of_o capricorn_n and_o the_o antarctick_a circle_n be_v â—alled_v heteroscii_n because_o the_o shadow_n at_o noon_n be_v cast_v one_o only_a way_n and_o that_o either_o north_n or_o south_n they_o that_o inhabit_v northward_o of_o the_o tropic_a of_o cancer_n have_v their_o shadow_n always_o towards_o the_o north_n and_o they_o that_o inhabit_v southward_o of_o the_o tropic_a of_o capricorn_n have_v their_o noon_n shadow_n always_o towards_o the_o south_n those_o that_o inhabit_v between_o the_o pole_n and_o the_o arctic_a or_o antarctick_a circle_n be_v call_v periscii_n because_o that_o their_o gnomon_n do_v cast_v their_o shadow_n circulary_a and_o the_o reason_n hereof_o be_v for_o that_o the_o sun_n be_v carry_v round_o about_o above_o their_o horizon_n in_o his_o whole_a diurnal_a revolution_n 8._o the_o next_o secundary_a dimension_n or_o distinction_n of_o the_o earthy_a globe_n into_o convenient_a part_n or_o space_n be_v by_o clime_n 9_o and_o a_o clime_n or_o climate_n be_v a_o space_n of_o
earth_n contain_v between_o three_o parallel_n the_o middlemoâ—_n whereof_o divide_v it_o into_o two_o equal_a part_n serve_v for_o the_o set_n out_o the_o length_n and_o shortness_n of_o the_o day_n in_o every_o country_n 10._o these_o climate_n and_o the_o parallel_n by_o which_o they_o be_v contain_v be_v none_o of_o they_o of_o equal_a quantity_n for_o the_o first_o clime_n as_o also_o the_o parallel_n beginning_n at_o the_o aequator_fw-la be_v large_a than_o the_o second_o and_o the_o second_o be_v likewise_o great_a than_o the_o three_o 11._o the_o ancient_n reckon_v but_o seven_o climate_n at_o the_o first_o to_o which_o number_n there_o be_v afterward_o add_v two_o more_o so_o that_o in_o the_o first_o of_o these_o number_n be_v comprehend_v fourteen_o parallel_n but_o in_o the_o latter_a eighteen_o 12._o ptolemy_n account_v the_o parallel_n 38_o each_o way_n from_o the_o equator_fw-la that_o be_v 38_o towards_o the_o north_n and_o as_o many_o towards_o the_o south_n 24_o of_o which_o he_o reckon_v by_o the_o difference_n of_o one_o quarter_n of_o a_o hour_n 4_o by_o the_o difference_n of_o half_a a_o hour_n 4_o by_o a_o whole_a hour_n difference_n and_o 6_o by_o a_o month_n difference_n but_o now_o the_o parallel_n be_v reckon_v by_o the_o difference_n of_o a_o quarter_n of_o a_o hour_n the_o climate_n be_v 24_o in_o number_n till_o you_o come_v to_o the_o latitude_n of_o 66_o degree_n 31_o minute_n to_o which_o be_v afterward_o add_v 6_o climate_n more_o unto_o the_o pole_n itself_o where_o the_o artificial_a day_n be_v 6_o month_n in_o length_n 13._o the_o distance_n of_o all_o both_o climate_n and_o parallel_n together_o with_o their_o latitude_n from_o the_o aequator_fw-la and_o difference_n of_o the_o quantity_n of_o the_o long_a day_n be_v here_o full_o express_v in_o the_o table_n follow_v a_o table_n of_o the_o climate_n belong_v to_o the_o three_o sort_n of_o inhabitant_n inhabitant_n belong_v to_o the_o several_a clime_n clime_n parallel_n length_n of_o the_o day_n poles_n elevation_n beaumont_n of_o the_o clime_n  _fw-fr  _fw-fr 0_o 12.0_o 0.0_o  _fw-fr  _fw-fr 0_o  _fw-fr  _fw-fr  _fw-fr 4.18_o  _fw-fr  _fw-fr 1_o 12.15_o 4.18_o  _fw-fr  _fw-fr  _fw-fr 2_o 12.30_o 8.34_o  _fw-fr  _fw-fr 1_o  _fw-fr  _fw-fr  _fw-fr 8.25_o amphiscii_n  _fw-fr 3_o 12.45_o 12.43_o  _fw-fr  _fw-fr  _fw-fr 4_o 13.0_o 16.43_o  _fw-fr  _fw-fr 2_o  _fw-fr  _fw-fr  _fw-fr 7.50_o  _fw-fr  _fw-fr 5_o 13.15_o 20.33_o  _fw-fr  _fw-fr  _fw-fr 6_o 13.30_o 23.10_o  _fw-fr  _fw-fr 3_o  _fw-fr  _fw-fr  _fw-fr 7.3_o  _fw-fr  _fw-fr 7_o 13.45_o 27.36_o  _fw-fr  _fw-fr  _fw-fr 8_o 14.0_o 30.47_o  _fw-fr  _fw-fr 4_o  _fw-fr  _fw-fr  _fw-fr 6.9_o  _fw-fr  _fw-fr 9_o 14.15_o 33.45_o  _fw-fr  _fw-fr  _fw-fr 10_o 14.30_o 36.30_o  _fw-fr  _fw-fr 5_o  _fw-fr  _fw-fr  _fw-fr 5.17_o  _fw-fr  _fw-fr 11_o 14.45_o 39.02_o  _fw-fr  _fw-fr  _fw-fr 12_o 15.0_o 41.22_o  _fw-fr  _fw-fr 6_o  _fw-fr  _fw-fr  _fw-fr 4.30_o  _fw-fr  _fw-fr 13_o 15.15_o 43.32_o  _fw-fr  _fw-fr 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