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be_v quick_a than_o thought_n and_o the_o word_n of_o god_n testify_v that_o the_o lord_n make_v all_o thing_n in_o number_n measure_n weight_n and_o time_n problem_n xcii_o to_o find_v the_o bissextile_a year_n the_o dominical_a letter_n and_o the_o letter_n of_o the_o month_n let_v 123_o or_o 124_o or_o 125_o or_o 26_o or_o 27_o which_o be_v the_o remainder_n of_o 1500_o or_o 1600_o be_v divide_v by_o 4_o which_o be_v the_o number_n of_o the_o leap-year_n and_o that_o which_o remain_v of_o the_o division_n show_v the_o leap-yeare_n as_o if_o one_o remain_v it_o show_v that_o it_o be_v the_o first_o year_n since_o the_o bissextile_a or_o leap-year_n if_o two_o it_o be_v the_o second_o year_n etc._n etc._n and_o if_o nothing_o remain_v than_o it_o be_v the_o bissextile_a or_o leap-yeare_n and_o the_o quotient_n show_v you_o how_o many_o bissextiles_fw-la or_o leap-yeare_n there_o be_v contain_v in_o so_o many_o year_n to_o find_v the_o circle_n of_o the_o sun_n by_o the_o finger_n 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country_n those_o that_o dwell_v between_o the_o north-pole_n and_o the_o tropic_n of_o cancer_n have_v their_o spring_n and_o summer_n between_o the_o 10_o of_o march_n and_o the_o 13_o of_o september_n and_o therefore_o in_o any_o day_n between_o that_o time_n get_v the_o sun_n distance_n by_o instrumental_a observation_n from_o the_o zenith_n at_o noon_n and_o add_v the_o declination_n of_o the_o sun_n for_o that_o day_n to_o it_o so_o the_o aggragate_n show_v such_o be_v the_o latitude_n or_o pole_n height_n of_o that_o country_n now_o the_o declination_n of_o the_o sun_n for_o any_o day_n be_v find_v out_o by_o table_n calculate_v to_o that_o end_n or_o mechanical_o by_o the_o globe_n or_o by_o instrument_n it_o may_v
&_o a_o line_n strike_v perpendicular_a upon_o it_o apply_v the_o straight_a edge_n unto_o the_o wall_n at_o what_o time_n the_o sun_n shine_v upon_o it_o hold_v the_o board_n parallel_n to_o the_o horizon_n set_v the_o dyal_a thereon_o and_o move_v it_o gentle_o every_o way_n until_o the_o same_o hour_n and_o minute_n be_v show_v in_o both_o dial_n and_o so_o let_v it_o stand_v then_o if_o the_o dyal_a have_v one_o of_o the_o side_n parallel_v to_o the_o meridian_n strike_v a_o line_n along_o that_o side_n upon_o the_o board_n cross_v the_o perpendicular_a or_o else_o with_o a_o bodkin_n make_v a_o point_n upon_o the_o board_n at_o each_o end_n of_o the_o meridian_n and_o take_v away_o the_o instrument_n from_o the_o board_n and_o the_o board_n from_o the_o wall_n lay_v a_o ruler_n to_o those_o two_o point_n and_o draw_v a_o line_n cross_v the_o perpendicular_a for_o the_o angle_n which_o that_o line_n make_v with_o the_o perpendicular_a be_v the_o angle_n of_o the_o decliâ—nation_n 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teach_v for_o then_o the_o dial_n stand_v in_o its_o true_a situation_n wherefore_o let_v it_o be_v nail_v down_o in_o that_o very_a place_n xiiii_o use_n to_o find_v the_o height_n of_o the_o sun_n at_o high_a noon_n everyday_n seek_v out_o the_o diurnal_a arch_n or_o parallel_n of_o the_o sun_n course_n for_o that_o day_n by_o use_n iii_o and_o with_o a_o pair_n of_o compass_n set_v one_o foot_n in_o the_o centre_n and_o the_o other_o in_o the_o point_n of_o intersection_n of_o that_o parallel_n with_o the_o meridian_n apply_v that_o same_o distance_n unto_o the_o semidiameter_n divide_v for_o that_o measure_n shall_v therein_o show_v the_o degree_n of_o of_o the_o sun_n altitude_n above_o the_o the_o horizon_n that_o day_n at_o high_a noon_n xv_o use_n to_o find_v the_o height_n of_o the_o sun_n at_o any_o hour_n or_o time_n of_o the_o day_n seek_v out_o the_o diurnal_a arch_n or_o parallel_v of_o the_o sun_n course_n for_o that_o day_n and_o mark_v what_o point_n of_o it_o be_v 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the_o centre_n and_o the_o other_o at_o that_o height_n apply_v the_o same_o distance_n unto_o the_o diurnal_a arch_n or_o parallel_v of_o the_o sun_n for_o that_o day_n for_o that_o point_n of_o the_o diurnal_a arch_n upon_o which_o that_o same_o distance_n light_n be_v the_o true_a place_n of_o the_o sun_n upon_o the_o dial_n and_o show_v among_o the_o hour_n line_n the_o true_a time_n of_o the_o day_n xvii_o use._n consideration_n for_o the_o use_n of_o the_o instrument_n in_o the_o night_n in_o such_o question_n as_o concern_v the_o night_n or_o the_o time_n before_o sun_n rise_v and_o after_o sun_n set_v the_o instrument_n represent_v the_o low_a hemisphere_n wherein_o the_o southern_a pole_n be_v elevate_v and_o therefore_o the_o parallel_n which_o be_v above_o the_o aequinoctial_a towards_o the_o centre_n shall_v be_v for_o the_o southern_a or_o winter_n parallel_n and_o those_o beneath_o the_o aequinoctial_a for_o the_o northern_a or_o summer_n parallel_n and_o the_o east_n 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of_o the_o câ—epusculum_n or_o twilight_n every_o day_n seek_v the_o declination_n of_o the_o sun_n for_o the_o day_n propose_v by_o use_v ii_o and_o at_o the_o same_o declination_n on_o the_o contrary_a side_n imagine_v a_o parallel_n for_o the_o sun_n that_o night_n and_o with_o a_o pair_n of_o compass_n set_v one_o foot_n in_o the_o centre_n and_o the_o other_o at_o 72_o degree_n upon_o the_o semidiameter_n divide_v apply_v that_o same_o distance_n unto_o the_o sun_n nocturnal_a parallel_n for_o that_o point_n of_o the_o parallel_n upon_o which_o that_o same_o distance_n shall_v light_v sheweth_z among_o the_o hour_n line_n the_o beginning_n of_o the_o twilight_n in_o the_o morning_n or_o the_o end_n of_o the_o twilight_n in_o the_o evening_n xx_o use._n if_o the_o day_n of_o the_o month_n be_v not_o know_v to_o find_v it_o out_o by_o the_o dial_n for_o the_o work_n of_o this_o question_n either_o the_o dial_n must_v be_v fix_v right_o on_o a_o post_n or_o else_o you_o must_v have_v a_o true_a meridian_n line_n draw_v in_o some_o window_n where_o the_o sun_n shine_v wherefore_o suppose_v the_o dial_n to_o be_v just_o set_v either_o upon_o the_o post_n or_o upon_o the_o meridian_n look_v what_o a_o clock_n it_o be_v by_o the_o outward_a dial_n and_o observe_v what_o point_n of_o the_o upright_a shadow_n fall_v upon_o the_o very_a same_o minute_n in_o the_o inner_a dial_n and_o through_o that_o same_o point_n imagine_v a_o parallel_n circle_n for_o the_o sun_n course_n that_o imaginary_a circle_n in_o the_o ecliptic_a shall_v cut_v the_o day_n of_o the_o month_n i_o the_o description_n of_o it_o this_o instrument_n serve_v as_o a_o dial_n to_o find_v the_o hour_n of_o the_o day_n not_o in_o one_o place_n only_o as_o the_o most_o part_n of_o dial_n do_v but_o general_o in_o all_o country_n lie_a north_n of_o the_o aequinoctial_a and_o therefore_o i_o call_v it_o the_o general_a hâ—rologicall_a â—ing_n it_o consist_v of_o two_o brazen_a circle_n a_o diameter_n and_o a_o little_a ring_n to_o hang_v it_o by_o the_o two_o circle_n be_v so_o make_v that_o though_o they_o be_v to_o be_v set_v at_o right_a angle_n when_o you_o use_v the_o instrument_n yet_o for_o more_o convenient_a carry_v they_o may_v be_v one_o fold_v into_o the_o other_o the_o lesser_a of_o the_o two_o circle_n be_v for_o the_o aequinoctial_a have_v in_o the_o midst_n of_o the_o inner_a side_n or_o thickness_n a_o line_n round_o it_o which_o be_v the_o true_a aequinoctial_a circle_n divide_v into_o twice_o twelve_o hour_n from_o the_o two_o opposite_a point_n in_o which_o it_o be_v fasten_v within_o the_o great_a the_o great_a and_o outer_a of_o the_o two_o circle_n be_v the_o meridian_n one_o quarter_n whereof_o beginning_n at_o one_o of_o the_o point_n in_o which_o the_o equinoctial_a be_v hang_v be_v divide_v into_o ninety_o degree_n the_o diameter_n be_v fasten_v to_o the_o meridian_n in_o two_o opposite_a point_n or_o pole_n oâ—e_v of_o they_o be_v the_o very_a end_n of_o the_o quadrant_n and_o be_v the_o north_n pole_n wherefore_o it_o be_v perpendicular_a to_o the_o equinoctial_a have_v his_o due_a position_n the_o diameter_n be_v broad_a and_o slit_v in_o the_o middle_n and_o about_o the_o slit_n on_o both_o side_n be_v the_o month_n and_o day_n of_o the_o year_n and_o within_o this_o slit_n be_v a_o little_a slide_a plate_n pierce_v through_o with_o a_o small_a hole_n which_o hole_n in_o the_o motion_n of_o it_o while_o it_o be_v apply_v to_o the_o day_n of_o the_o year_n represent_v the_o axis_n of_o the_o world_n the_o little_a ring_n whereby_o the_o instrument_n hang_v be_v make_v to_o slip_v up_o and_o down_o along_o the_o quadrant_n that_o so_o by_o help_n of_o a_o little_a tooth_n annex_v the_o instrument_n may_v be_v rectify_v to_o any_o elevation_n of_o the_o pole_n ii_o the_o use_n of_o it_o in_o use_v this_o instrument_n first_o the_o tooth_n of_o the_o little_a ring_n must_v careful_o be_v set_v to_o the_o height_n of_o the_o pole_n in_o the_o quadrant_n for_o the_o place_n wherein_o you_o be_v second_o the_o hole_n of_o the_o slide_a plate_n within_o the_o slit_n must_v be_v bring_v exact_o unto_o the_o day_n of_o the_o month_n three_o the_o aeqinoctiall_a be_v to_o be_v draw_v out_o and_o by_o mean_n of_o the_o two_o stud_n in_o the_o meridian_n stay_v it_o it_o be_v to_o be_v set_v perpendicular_a thereto_o four_o guess_v as_o near_o as_o you_o can_v at_o the_o hour_n and_o turn_v the_o hole_n of_o the_o little_a plate_n towards_o it_o last_o hold_v the_o instrument_n up_o by_o the_o little_a ring_n that_o it_o may_v hang_v free_o with_o the_o north_n pole_n thereof_o towards_o the_o north_n and_o move_v it_o gentle_o this_o way_n and_o that_o way_n till_o the_o beam_n of_o the_o sunshining_a through_o that_o hole_n fall_v upon_o that_o middle_a line_n within_o the_o aequinoctial_a for_o there_o shall_v be_v the_o hour_n of_o the_o day_n and_o the_o meridan_n of_o the_o instrument_n shall_v hang_v direct_o north_n and_o south_n these_o instrument_n all_o dial_n be_v make_v in_o brass_n by_o elias_n allen_n dwell_v over_o against_o st._n clement_n church_n without_o temple_n bar_n at_o the_o sign_n of_o the_o horse-shoe_n near_o essex_n gate_n finis_fw-la
water_n 198_o 11_o to_o find_v the_o weight_n of_o water_n 199_o 12_o to_o find_v the_o charge_n that_o a_o vessel_n may_v carry_v as_o ship_n boat_n or_o such_o like_a 200_o 13_o how_o come_v it_o that_o a_o ship_n have_v safe_o sail_v in_o the_o vast_a ocean_n and_o be_v come_v into_o the_o port_n or_o harbour_n will_v sink_v down_o right_a 200_o 14_o how_o a_o gross_a body_n of_o metal_n may_v swim_v upon_o the_o water_n 201_o 15_o how_o to_o weigh_v the_o lightness_n of_o the_o air_n 203_o 16_o be_v give_v a_o body_n to_o mark_v it_o about_o and_o show_v how_o much_o of_o it_o will_v sink_v in_o the_o water_n or_o swim_v above_o the_o water_n 204_o 17_o to_o find_v how_o much_o several_a metal_n or_o other_o body_n do_v weigh_v less_o in_o the_o water_n than_o in_o the_o air_n 204_o 18_o how_o be_v it_o that_o a_o balance_n have_v like_o weight_n in_o each_o scale_n and_o hang_v in_o aequilibrio_fw-la in_o the_o air_n be_v remove_v from_o that_o place_n without_o diminish_v the_o weight_n in_o each_o balance_n or_o add_v to_o it_o it_o shall_v cease_v to_o hang_v in_o aequilibrio_fw-la sensible_o yea_o by_o a_o great_a difference_n of_o weight_n 205_o 19_o to_o show_v what_o water_n be_v heavy_a one_o than_o another_o and_o how_o much_o 206_o 20_o how_o to_o make_v a_o pound_n of_o water_n weigh_v as_o much_o as_o 10_o 20_o 30_o or_o a_o hundred_o pound_n of_o lead_n nay_o as_o much_o as_o a_o thousand_o or_o ten_o thousand_o pound_n weight_n 207_o prob._n 86._o of_o sundry_a question_n of_o arithmetic_n and_o first_o of_o the_o number_n of_o sand_n calculate_v by_o archimedes_n and_o clavius_n 208_o 2_o divers_a metal_n be_v melt_v together_o in_o one_o body_n to_o find_v the_o mixture_n of_o they_o 210_o 3_o a_o subtle_a question_n of_o three_o partner_n about_o equality_n of_o wine_n and_o vessel_n 213_o 4_o of_o a_o ladder_n which_o stand_v upright_o against_o a_o wall_n of_o 10_o foot_n high_a the_o foot_n of_o it_o be_v pull_v out_o 6_o foot_n from_o the_o wall_n upon_o the_o pavement_n how_o much_o have_v the_o top_n of_o the_o ladder_n descend_v 214_o prob._n 87_o witty_a suit_n or_o debate_n between_o caius_n and_o sempronius_n upon_o the_o form_n of_o figure_n which_o geometrician_n call_v isoperimeter_n or_o equal_a in_o circuit_n or_o compass_n 214_o 1_o incident_a of_o change_v a_o field_n of_o 6_o measure_n square_a for_o a_o long_o rectrangle_v fiel_n of_o 9_o measure_n in_o length_n and_o 3_o in_o breadth_n both_o equal_a in_o circuit_n but_o not_o in_o quantity_n 215_o 2_o incident_a about_o two_o sack_n each_o of_o they_o hoâ—ding_v but_o a_o bushel_n and_o yet_o be_v able_a to_o hold_v 4_o bushel_n 217_o 3_o incident_a show_v the_o deceit_n of_o pipe_n which_o conveygh_v water_n that_o a_o pipe_n of_o two_o inch_n diameter_n do_v cast_v out_o four_o time_n as_o much_o water_n as_o a_o pipe_n of_o one_o such_o diameter_n 218_o 7_o heap_n of_o corn_n of_o 10_o foot_n every_o way_n be_v not_o as_o much_o as_o one_o heap_n of_o corn_n of_o 20_o foot_n every_o way_n 218_o prob._n 88_o of_o sundry_a question_n in_o matter_n of_o cosmographie_n and_o astronomy_n in_o what_o place_n the_o middle_n of_o the_o earth_n be_v suppose_v to_o be_v 219_o of_o the_o depth_n of_o the_o earth_n and_o height_n of_o the_o heaven_n and_o the_o compass_n of_o the_o world_n how_o much_o 219_o how_o much_o the_o starry_a firmament_n the_o sun_n and_o the_o moon_n be_v distant_a from_o the_o centre_n of_o the_o earth_n 220_o how_o long_o a_o millstone_n will_v be_v in_o fall_v to_o the_o centre_n of_o the_o earth_n from_o the_o superficies_n if_o it_o may_v have_v passage_n thither_o 220_o how_o long_a time_n a_o man_n or_o a_o bird_n may_v be_v in_o compass_v the_o whole_a earth_n 220_o if_o a_o man_n shall_v ascend_v by_o supposition_n 20_o mile_n every_o day_n how_o long_o it_o will_v be_v before_o he_o approach_v to_o the_o moon_n 221_o the_o sun_n move_v more_o in_o one_o day_n than_o the_o moon_n in_o 20_o day_n 221_o if_o a_o millstone_n from_o the_o orb_n of_o the_o sun_n shall_v descend_v a_o thousand_o mile_n in_o a_o hour_n how_o long_o it_o will_v be_v before_o it_o come_v to_o the_o earth_n 221_o of_o the_o sun_n quick_a motion_n of_o more_o than_o 7500_o mile_n in_o one_o minute_n 221_o of_o the_o rapt_a and_o violent_a motion_n of_o the_o starry_a firmament_n which_o if_o a_o horseman_n shall_v ride_v every_o day_n 40_o mile_n he_o can_v not_o in_o a_o thousand_o year_n make_v such_o a_o distance_n as_o it_o move_v every_o hour_n 221_o to_o find_v the_o circle_n of_o the_o sun_n by_o the_o finger_n 223_o prob._n 93_o of_o find_v the_o new_a and_o full_a moon_n in_o each_o month_n 224_o prob._n 94_o to_o find_v the_o latitude_n of_o country_n 225_o prob._n 95_o of_o the_o climate_n of_o country_n and_o how_o to_o find_v they_o 225_o prob._n 96_o of_o longitude_n and_o latitude_n of_o the_o place_n of_o the_o earth_n and_o of_o the_o star_n of_o the_o heaven_n 227_o to_o find_v the_o longitude_n of_o a_o country_n 228_o of_o the_o latitude_n of_o a_o country_n 229_o to_o find_v the_o latitude_n of_o a_o country_n 230_o to_o find_v the_o distance_n of_o place_n 230_o of_o the_o longitude_n latitude_n declination_n and_o distance_n of_o the_o star_n 231_o how_o be_v it_o that_o two_o horse_n or_o other_o creature_n come_v into_o the_o world_n at_o one_o time_n and_o die_v at_o one_o and_o the_o same_o instant_n yet_o the_o one_o of_o they_o to_o be_v a_o day_n old_a than_o the_o other_o 232_o certain_a fine_a observation_n in_o what_o place_n of_o the_o world_n be_v it_o that_o the_o needle_n hang_v in_o aequilibrio_fw-la and_o vertical_a 233_o in_o what_o place_n of_o the_o world_n be_v it_o the_o sun_n be_v east_n or_o west_n but_o twice_o in_o the_o year_n 233_o in_o what_o place_n of_o the_o world_n be_v it_o that_o the_o sun_n longitude_n from_o the_o equinoctial_a paint_v and_o altitude_n be_v equal_a the_o sun_n be_v due_a east_n or_o west_n that_o the_o sun_n come_v twice_o to_o one_o point_n of_o the_o compass_n in_o the_o forenoon_n or_o afternoon_n 233_o that_o in_o some_o place_n of_o the_o world_n there_o be_v but_o two_o kind_n of_o wind_n all_o the_o year_n 233_o two_o ship_n may_v be_v two_o league_n asunder_o under_o the_o equinoctial_a and_o sail_a north_n at_o a_o certain_a parallel_n they_o will_v be_v but_o just_a half_a so_o much_o 233_o to_o what_o inhabitant_n and_o at_o what_o time_n the_o sun_n will_v touch_v the_o north-part_n of_o the_o horizon_n at_o midnight_n 234_o how_o a_o man_n may_v know_v in_o his_o navigation_n when_o he_o be_v under_o the_o equinoctial_a 234_o at_o what_o day_n in_o the_o year_n the_o extremity_n of_o the_o style_n shadow_n in_o a_o dial_n make_v a_o right_a line_n 234_o what_o height_n the_o sun_n be_v of_o and_o how_o far_o from_o the_o zenith_n or_o horizon_n when_o a_o man_n shadow_n be_v as_o long_o as_o his_o height_n 234_o prob._n 97_o to_o make_v a_o triangle_n that_o shall_v have_v three_o right_a angle_n 234_o prob._n 98_o to_o divide_v a_o line_n in_o as_o many_o part_n as_o one_o will_n without_o compass_n or_o without_o see_v of_o it_o 235_o prob._n 99_o to_o draw_v a_o line_n which_o shall_v incline_v to_o another_o line_n yet_o never_o meet_v against_o the_o axiom_n of_o parallel_n 236_o prob._n 100_o to_o find_v the_o variation_n of_o the_o compass_n by_o the_o sun_n shine_v 237_o prob._n 101_o to_o know_v which_o way_n the_o wind_n be_v in_o one_o chamber_n without_o go_v abroad_o 238_o prob._n 102_o how_o to_o draw_v a_o parallel_n spherical_a line_n with_o great_a ease_n 239_o prob._n 103_o to_o measure_n a_o height_n only_o by_o help_n of_o one_o hat_n 240_o prob._n 104_o to_o take_v a_o height_n with_o two_o straw_n 240_o in_o architecture_n how_o statue_n or_o other_o thing_n in_o high_a building_n shall_v bear_v a_o proportion_n to_o the_o eye_n below_o either_o equal_a double_a etc._n etc._n 242_o prob._n 106_o of_o deform_a figure_n which_o have_v no_o exact_a proportion_n where_o to_o place_v the_o eye_n to_o see_v they_o direct_v 243_o prob._n 107_o how_o a_o cannon_n that_o have_v shoot_v may_v be_v cover_v from_o the_o battery_n of_o the_o enemy_n 244_o prob._n 108_o of_o a_o fine_a lever_n by_o which_o one_o man_n alone_o may_v place_v a_o cannon_n upon_o his_o carriage_n 245_o prob._n 109_o how_o to_o make_v a_o clock_n with_o one_o wheel_n 246_o of_o water-work_n prob._n 110_o how_o a_o child_n may_v draw_v up_o a_o hogshead_n of_o water_n with_o ease_n 247_o prob._n 111_o of_o a_o ladder_n of_o cord_n to_o carry_v in_o one_o
be_v indifferent_o have_v and_o here_o note_v that_o if_o the_o day_n be_v between_o the_o 13_o of_o september_n and_o the_o 10_o of_o march_n than_o the_o sun_n declination_n for_o that_o day_n must_v be_v take_v out_o of_o the_o distance_n of_o the_o sun_n from_o the_o zenith_n at_o noon_n so_o shall_v you_o have_v the_o latitude_n as_o before_o prbolem_fw-la xcv_o of_o the_o climate_n of_o country_n and_o to_o find_v in_o what_o climate_n any_o country_n be_v under_o climate_n as_o they_o be_v take_v geographical_o signify_v nothing_o else_o but_o when_o the_o length_n of_o the_o long_a day_n of_o any_o place_n be_v half_a a_o hour_n long_o or_o short_a than_o it_o be_v in_o another_o place_n and_o so_o of_o the_o short_a day_n and_o this_o account_n to_o begin_v from_o the_o equinoctial_a circle_n see_v all_o country_n under_o it_o have_v the_o short_a and_o long_a day_n that_o can_v be_v but_o 12_o hour_n but_o all_o other_o country_n that_o be_v from_o the_o equinoctial_a circle_n either_o towards_o the_o north_n or_o south_n of_o it_o unto_o the_o pole_n themselves_o be_v say_v to_o be_v in_o some_o one_o climate_n or_o other_o from_o the_o equinoctial_a to_o either_o of_o the_o pole_n circle_n which_o be_v in_o the_o latitude_n of_o 66_o degr_n 30_o m._n between_o each_o of_o which_o polar_a circle_n and_o the_o equinoctial_a circle_n there_o be_v account_v 24_o climate_n which_o differ_v one_o from_o another_o by_o half_a a_o hour_n time_n then_o from_o each_o polar_a circle_n to_o each_o pole_n there_o be_v reckon_v 6._o other_o climate_n which_o differ_v one_o from_o another_o by_o a_o month_n time_n so_o the_o whole_a earth_n be_v divide_v into_o 60_o climate_n 30_o be_v allot_v to_o the_o northern_a hemisphere_n and_o 30â—_n to_o the_o southern_a hemisphere_n and_o here_o note_v that_o though_o these_o climate_n which_o be_v between_o the_o equinoctial_a and_o the_o polar_a circle_n be_v equal_a one_o unto_o the_o other_o in_o respect_n of_o time_n to_o wit_n by_o half_a a_o hour_n yet_o the_o latitude_n breadth_n or_o internal_a contain_v between_o climate_n and_o climate_n be_v not_o equal_a and_o by_o how_o much_o any_o climate_n be_v far_a from_o the_o equinoctial_a than_o another_o climate_n by_o so_o much_o the_o lesser_a be_v the_o interval_n between_o that_o climate_n and_o the_o next_o so_o those_o that_o be_v near_a the_o equinoctial_a be_v large_a and_o those_o which_o be_v far_a off_o most_o contract_a and_o to_o find_v what_o climate_n any_o country_n be_v under_o subtract_v the_o length_n of_o a_o equinoctial_a day_n to_o wit_n 12_o hour_n from_o the_o length_n of_o the_o long_a day_n of_o that_o country_n the_o remainder_n be_v double_v show_v the_o climate_n so_o at_o london_n the_o long_a day_n be_v near_o 16_o hour_n and_o a_o half_a 12_o take_v from_o it_o there_o remain_v 4_o hour_n and_o a_o half_a which_o double_v make_v 9_o half_a hour_n that_o be_v 9_o climate_n so_o london_n be_v in_o the_o 9_o 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of_o crown_n that_o two_o man_n have_v 136_o about_o the_o hour_n of_o the_o day_n 137_o of_o pythagoras_n scholar_n 137_o of_o the_o number_n of_o apple_n give_v among_o the_o grace_n and_o the_o muse_n 138_o of_o the_o testament_n or_o last_o will_n of_o a_o die_a father_n 138_o of_o the_o cup_n of_o croesus_n 139_o of_o cupid_n apple_n 139_o of_o a_o man_n age._n 140_o of_o the_o lion_n of_o bronze_n place_v upon_o a_o fountain_n with_o his_o epigram_n ibid._n prob._n 77_o in_o optic_n excellent_a experiment_n principle_n touch_v reflection_n 141_o experiment_n upon_o flat_a and_o plain_a glass_n 142_o how_o the_o image_n seem_v to_o sink_v into_o a_o plain_a glass_n and_o always_o be_v see_v perpendicular_a to_o the_o glass_n anâ—_n also_o inverse_v 143_o the_o thing_n which_o pass_v by_o in_o a_o street_n may_v by_o help_n of_o a_o plain_a glass_n be_v see_v in_o a_o chamber_n and_o the_o height_n of_o a_o tower_n or_o tree_n observe_v 143_o how_o several_a candle_n from_o one_o candle_n be_v represent_v in_o a_o plain_a glass_n and_o glass_n alternate_o may_v be_v see_v one_o within_o another_o as_o also_o the_o backpart_n of_o the_o body_n as_o well_o as_o the_o forepart_n be_v evident_o represent_v 144_o how_o a_o image_n may_v be_v see_v to_o hang_v in_o the_o air_n by_o help_n of_o a_o glass_n and_o write_v read_v or_o easy_o understand_v 146_o experiment_n upon_o gibbous_a or_o convex_v spherical_a glass_n how_o lively_a to_o represent_v a_o whole_a city_n fortification_n or_o army_n by_o a_o gibbous_a glass_n 147_o how_o the_o image_n be_v see_v in_o concave_a glass_n 149_o how_o the_o image_n be_v transform_v by_o approach_v to_o the_o centre_n of_o the_o glass_n or_o point_n of_o concourse_n and_o of_o a_o exceed_a light_n that_o a_o concave_a glass_n give_v by_o help_n of_o a_o candle_n 151_o how_o the_o image_n as_o a_o man_n a_o sword_n or_o hand_n do_v come_v forth_o out_o of_o the_o glass_n 152_o 153_o of_o strange_a apparition_n of_o image_n 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that_o be_v suspicious_a what_o be_v in_o another_o chamber_n or_o room_n notwithstanding_o the_o interposition_n of_o that_o wall_n 160_o corolary_n 1._o to_o see_v the_o besieger_n of_o a_o place_n upon_o the_o rampaâ—â—t_n of_o a_o fortification_n 161_o corolary_n 2._o and_o 3._o notwithstanding_o the_o interposition_n of_o wall_n and_o chamber_n by_o help_n of_o a_o glass_n thing_n may_v be_v see_v which_o pass_v by_o 162_o prob._n 79_o how_o with_o a_o musket_n to_o strike_v a_o mark_n not_o look_v towards_o it_o as_o exact_o as_o one_o aim_v at_o it_o 162_o how_o exact_o to_o shoot_v out_o of_o a_o musket_n to_o a_o place_n which_o be_v not_o see_v be_v hinder_v by_o some_o obstacle_n or_o other_o interposition_n 163_o prob._n 80_o how_o to_o make_v a_o image_n to_o be_v see_v hang_v in_o the_o air_n have_v his_o head_n downward_o 164_o prob._n 81._o how_o to_o make_v a_o company_n of_o representative_a soldier_n seem_v to_o be_v as_o a_o regiment_n or_o how_o few_o in_o number_n 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more_o violence_n than_o be_v shoot_v point_n blank_a or_o shoot_v downward_o 174_o whether_o be_v the_o discharge_n of_o a_o cannon_n so_o much_o the_o more_o violent_a by_o how_o much_o it_o have_v the_o more_o length_n 176_o prob._n 84_o of_o prodigious_a progression_n and_o multiplication_n of_o creature_n plant_n fruit_n number_n gold_z silver_z etc._n etc._n of_o grain_n of_o mustardseed_n and_o that_o one_o grain_n be_v sow_v with_o the_o increase_n thereof_o for_o 20_o year_n will_v produce_v a_o heap_n great_a than_o all_o the_o earth_n a_o hundred_o thousand_o time_n 178_o of_o pig_n and_o that_o the_o great_a turk_n with_o all_o his_o revenne_n be_v not_o able_a to_o maintain_v for_o one_o year_n a_o sow_n with_o all_o she_o increase_v for_o 12_o year_n 179_o of_o grain_n of_o corn_n and_o that_o 1_o grain_n with_o all_o its_o increase_n for_o 12_o year_n will_v amount_v to_o 244140625000000000000_o grain_n which_o exceed_v in_o value_n all_o the_o treasure_n in_o the_o world_n 183_o of_o the_o wonderful_a increase_n of_o sheep_n 182_o of_o the_o increase_n of_o codfish_n 182_o of_o the_o progressive_a multiplication_n of_o soul_n that_o from_o one_o of_o noah_n son_n from_o the_o flood_n unto_o nimrods_n monarchy_n shall_v be_v produce_v 111350_o soul_n 183_o of_o the_o increase_n of_o number_n in_o double_a proportion_n and_o that_o a_o pin_n be_v double_v as_o often_o as_o there_o be_v week_n in_o the_o year_n the_o number_n of_o pin_n that_o shall_v arise_v be_v able_a to_o load_v 45930_o ship_n of_o a_o thousand_o tun_n apiece_o which_o be_v worth_a more_o than_o ten_o hundred_o thousand_o pound_n a_o day_n 183_o 184_o of_o a_o man_n that_o gather_v apple_n stone_n or_o such_o like_a upon_o a_o condition_n 185_o of_o the_o change_n in_o bell_n in_o musical_a instrument_n transmutation_n of_o place_n in_o number_n letter_n man_n and_o such_o like_a 185_o of_o the_o wonderful_a interchange_n of_o the_o letter_n in_o the_o alphabet_n the_o exceed_a number_n of_o man_n and_o time_n to_o express_v the_o word_n that_o may_v be_v make_v with_o these_o letter_n and_o the_o number_n of_o book_n to_o comprehend_v they_o 187_o 188_o of_o a_o servant_n hire_v upon_o certain_a condition_n that_o he_o may_v have_v land_n lend_v he_o to_o sow_v one_o grain_n of_o corn_n with_o its_o increase_n for_o 8_o year_n time_n which_o amount_v to_o more_o than_o four_o hundred_o thousand_o acre_n of_o land_n 188_o prob._n 85_o of_o fountain_n hydriatiques_n stepticks_n machineck_n and_o other_o experiment_n upon_o water_n or_o other_o liquor_n first_o how_o water_n at_o the_o foot_n of_o a_o mountain_n may_v be_v make_v to_o ascend_v to_o the_o top_n of_o it_o and_o so_o to_o descend_v on_o the_o other_o side_n of_o it_o 190_o second_o to_o find_v how_o much_o liquor_n be_v in_o a_o vessel_n only_o by_o use_v the_o tap-hole_n 191_o three_o how_o be_v it_o that_o a_o vessel_n be_v say_v to_o hold_v more_o water_n at_o the_o foot_n of_o a_o mountain_n then_o at_o the_o top_n of_o it_o 191_o 4_o how_o to_o conduct_v water_n from_o the_o top_n of_o one_o mountain_n to_o the_o top_n of_o another_o 192_o 5_o of_o a_o fine_a fountain_n which_o spout_v water_n very_o high_a and_o with_o great_a violence_n by_o turn_v of_o a_o cock_n 193_o 6_o of_o archimedes_n screw_v which_o make_v water_n ascend_v by_o descend_v 194_o 7_o of_o a_o fine_a fountain_n of_o pleasure_n 196_o 8_o of_o a_o fine_a water_a pot_n for_o garden_n 197_o 9_o how_o easy_o to_o take_v wine_n out_o of_o a_o vessel_n at_o the_o bung_a hole_n without_o pierce_v a_o hole_n in_o the_o vessel_n 198_o 10_o how_o to_o measure_v irregular_a body_n by_o help_n of_o
full_a so_o in_o c_o there_o be_v now_o but_o 1_o pint_n 5_o in_o b_o and_o 2_o in_o a_o pour_v all_o that_o be_v in_o b_o into_o a_o then_o pour_v the_o wine_n which_o be_v in_o c_o into_o b_o so_o there_o be_v in_o c_o nothing_o in_o b_o only_a 1_o pint_n and_o in_o 7_o a_o 7_o pint_n last_o out_o of_o a_o fill_v the_o pot_n c_o so_fw-mi there_o will_v remain_v in_o a_o 4_o pint_n or_o be_v but_o half_a full_a then_o if_o the_o liquor_n in_o c_o be_v pour_v into_o b_o it_o will_v be_v the_o other_o half_o in_o like_a manner_n may_v be_v take_v the_o half_a of_o a_o vessel_n which_o contain_v 12_o pint_n by_o have_v but_o the_o measure_n 5_o and_o 7_o or_o 5_o and_o 8._o now_o such_o other_o may_v be_v propose_v but_o we_o omit_v many_o in_o one_o and_o the_o same_o nature_n problem_n x._o to_o make_v a_o stick_n stand_v upon_o the_o tip_n of_o one_o finger_n without_o fall_v fasten_v the_o edge_n of_o two_o knife_n or_o such_o like_a of_o equal_a poise_n at_o the_o end_n of_o the_o 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may_v will_v the_o party_n from_o e_z to_o account_v 25_o 35_o etc._n etc._n and_o it_o will_v be_v the_o same_o there_o be_v some_o that_o use_v this_o play_n at_o card_n turn_v upside_o down_o as_o the_o ten_o simple_a card_n with_o the_o king_n and_o queen_n the_o king_n stand_v for_o 12_o and_o the_o queen_n for_o 11_o and_o so_o know_v the_o situation_n of_o the_o card_n and_o think_v a_o certain_a hour_n of_o the_o day_n cause_n the_o party_n to_o account_v from_o what_o card_n he_o please_v with_o this_o proviso_n that_o when_o you_o see_v where_o he_o intend_v to_o account_v set_v 12_o to_o that_o number_n so_o in_o count_v as_o
his_o most_o glorious_a beauty_n this_o glass_n have_v also_o a_o most_o excellent_a use_n in_o observe_v the_o body_n of_o the_o moon_n in_o time_n of_o eclipse_n for_o it_o augment_v it_o manifold_a and_o most_o manifest_o show_v the_o true_a form_n of_o the_o cloudy_a substance_n in_o the_o sun_n and_o by_o it_o be_v see_v when_o the_o shadow_n of_o the_o earth_n begin_v to_o eclipse_v the_o moon_n &_o when_o total_o she_o be_v over_o shadow_a beside_o the_o celestial_a use_n which_o be_v make_v of_o this_o glass_n it_o have_v another_o noble_a property_n it_o far_o exceed_v the_o ordinary_a perspective_n glass_n which_o be_v use_v to_o see_v thing_n remote_a upon_o the_o earth_n for_o as_o this_o glass_n reach_v up_o to_o the_o heaven_n and_o excel_v they_o there_o in_o his_o performance_n so_o on_o the_o earth_n it_o claim_v preeminency_n for_o the_o object_n which_o be_v far_a remote_a and_o most_o obscure_a be_v see_v plain_a than_o those_o which_o be_v near_o at_o hand_n 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have_v ever_o think_v that_o a_o brute_n stone_n black_a and_o ill_o form_v touch_v a_o ring_n of_o iron_n shall_v hang_v it_o in_o the_o air_n and_o that_o ring_v support_v a_o second_o that_o to_o support_v a_o three_o and_o so_o unto_o 10_o 12_o or_o more_o according_a to_o the_o strength_n of_o the_o magnes_fw-la make_v as_o it_o be_v a_o chain_n without_o a_o line_n without_o soulder_v together_o or_o without_o any_o other_o thing_n to_o support_v they_o only_o but_o a_o most_o occult_a and_o hide_a virtue_n yet_o most_o evident_a in_o this_o effect_n which_o penetrate_v insensible_o from_o the_o first_o to_o the_o second_o from_o the_o second_o to_o the_o three_o etc._n etc._n what_o be_v there_o in_o the_o world_n that_o be_v more_o capable_a to_o cast_v a_o deep_a astonishment_n in_o our_o mind_n than_o a_o great_a massy_a substance_n of_o iron_n to_o hang_v in_o the_o air_n in_o the_o midst_n of_o a_o build_n without_o any_o thing_n in_o the_o world_n touch_v it_o only_o but_o 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the_o iron_n away_o &_o attract_v it_o with_o the_o other_o from_o whence_o come_v it_o that_o all_o the_o magnes_fw-la be_v not_o proper_a to_o give_v a_o true_a touch_n to_o the_o needle_n but_o only_o in_o the_o two_o pole_n of_o the_o stone_n which_o be_v know_v by_o hang_v the_o stone_n by_o a_o thread_n in_o the_o air_n until_o it_o be_v quiet_a or_o place_v upon_o a_o piece_n of_o cork_n in_o a_o dish_n of_o water_n or_o upon_o some_o thin_a board_n for_o the_o pole_n of_o the_o stone_n will_v then_o turn_v towards_o the_o pole_n of_o the_o world_n and_o point_n out_o the_o north_n and_o south_n and_o so_o show_v by_o which_o of_o these_o end_v the_o needle_n be_v to_o be_v touch_v from_o whence_o come_v it_o that_o there_o be_v a_o variation_n in_o the_o needle_n and_o point_v not_o out_o true_o the_o north_n and_o south_n of_o the_o world_n but_o only_o in_o some_o place_n of_o the_o earth_n how_o be_v it_o that_o the_o needle_n make_v with_o peg_n and_o enclose_a within_o two_o glass_n show_v the_o height_n of_o the_o pole_n be_v elevate_v as_o many_o degree_n as_o the_o pole_n be_v above_o the_o horizon_n what_o be_v the_o cause_n that_o fire_n and_o garlic_n take_v away_o the_o property_n of_o the_o magnes_fw-la there_o be_v many_o great_a hide_a mystery_n in_o this_o stone_n which_o have_v trouble_v the_o head_n of_o the_o most_o learned_a in_o all_o age_n and_o to_o this_o time_n the_o world_n remain_v ignorant_a of_o declare_v the_o rrue_a cause_n thereof_o some_o say_v that_o by_o help_n of_o the_o magnes_n person_n which_o be_v absent_a may_v know_v each_o other_o mind_n as_o if_o one_o be_v here_o at_o london_n and_o another_o at_o prague_n in_o germany_n if_o each_o of_o they_o have_v a_o needle_n touch_v with_o one_o magnes_fw-la than_o the_o virtue_n be_v such_o that_o in_o the_o same_o time_n that_o the_o needle_n which_o be_v at_o prague_n shall_v move_v this_o that_o be_v at_o london_n shall_v also_o provide_v that_o the_o party_n have_v like_o secret_a note_n or_o alphabet_n and_o the_o observation_n be_v at_o a_o set_a hour_n of_o the_o day_n or_o night_n and_o when_o the_o one_o party_n will_v declare_v unto_o the_o other_o then_o let_v that_o party_n move_v the_o needle_n to_o these_o letter_n which_o will_v declare_v the_o matter_n to_o the_o other_o and_o the_o move_n of_o the_o other_o party_n needle_n shall_v open_v his_o intention_n the_o invention_n be_v subtle_a but_o i_o doubt_v whether_o in_o the_o world_n there_o can_v be_v find_v so_o great_a a_o stone_n or_o such_o a_o magnes_n which_o carry_v with_o it_o such_o virtue_n neither_o be_v it_o expedient_a for_o treason_n will_v be_v then_o too_o frequent_a and_o open_a examination_n the_o experimental_a difference_n of_o rejection_n and_o attraction_n proceed_v not_o from_o the_o different_a nature_n of_o stone_n but_o from_o the_o quality_n of_o the_o iron_n and_o the_o virtue_n of_o the_o stone_n consist_v only_o and_o especial_o in_o his_o pole_n which_o be_v hang_v in_o the_o air_n turn_v one_o of_o his_o end_n always_o natural_o towards_o the_o south_n and_o the_o other_o towards_o the_o north_n but_o if_o a_o rod_n of_o iron_n be_v touch_v with_o one_o of_o the_o end_n thereof_o it_o have_v the_o like_a property_n in_o turn_v north_n and_o south_n as_o the_o magnes_fw-la have_v notwithstanding_o the_o end_n of_o the_o iron_n rod_n touch_v have_v a_o contrary_a position_n to_o that_o end_n of_o the_o stone_n that_o touch_v it_o yet_o the_o same_o end_n will_v attract_v it_o and_o the_o other_o end_n reject_v it_o and_o so_o contrary_o this_o may_v easy_o be_v experiment_a upon_o two_o needle_n touch_v with_o one_o or_o different_a stone_n though_o they_o have_v
one_o and_o the_o same_o position_n for_o as_o you_o come_v unto_o they_o apply_v one_o end_n of_o the_o magnes_fw-la near_o unto_o they_o the_o north_n of_o the_o one_o will_v abhor_v the_o north_n of_o the_o other_o but_o the_o north_n of_o the_o one_o will_v always_o approach_v to_o the_o south_n of_o the_o other_o and_o the_o same_o affection_n be_v in_o the_o stone_n themselves_o for_o the_o find_n of_o the_o pole_n of_o the_o magnes_fw-la it_o may_v be_v do_v by_o hold_v a_o small_a needle_n between_o your_o finger_n soft_o and_o so_o move_v it_o from_o part_n to_o part_v over_o the_o stone_n until_o it_o be_v hold_v perpendicular_a for_o that_o shall_v be_v one_o of_o the_o pole_n of_o the_o stone_n which_o you_o may_v mark_v out_o in_o like_a manner_n find_v out_o the_o other_o pole_n now_o to_o find_v out_o which_o of_o those_o pole_n be_v north_n or_o south_n place_v a_o needle_n be_v touch_v with_o one_o of_o the_o pole_n upon_o a_o smooth_a convex_a body_n as_o the_o nail_n of_o one_o finger_n or_o such_o like_a and_o mark_v which_o way_n the_o end_n of_o the_o needle_n that_o be_v touch_v turn_v if_o to_o the_o south_n than_o the_o point_n that_o touch_v it_o be_v the_o south-pole_n etc._n etc._n and_o it_o be_v most_o certain_a and_o according_a to_o reason_n and_o experience_n that_o if_o it_o be_v suspend_v in_o aequilibrio_fw-la in_o the_o air_n or_o support_v upon_o the_o water_n it_o will_v turn_v contrary_a to_o the_o needle_n that_o touch_v it_o for_o then_o the_o pole_n that_o be_v mark_v for_o the_o south_n shall_v turn_v to_o the_o north_n etc._n etc._n problem_n lxviii_o of_o the_o property_n of_o aeolipile_n or_o bowel_n to_o blow_v the_o fire_n these_o be_v concave_a vessel_n of_o brass_n or_o copper_n or_o other_o material_a which_o may_v endure_v the_o fire_n have_v a_o small_a hole_n very_o narrow_a by_o which_o it_o be_v fill_v with_o water_n then_o place_v it_o to_o the_o fire_n before_o it_o be_v hot_a there_o be_v no_o effect_n see_v but_o assoon_o as_o the_o heat_n do_v penetrate_v it_o the_o water_n begin_v to_o rarefie_v &_o issue_v forth_o with_o a_o hideous_a and_o marvellous_a force_n it_o be_v pleasure_n to_o see_v how_o it_o blow_v the_o fire_n with_o great_a noise_n now_o touch_v the_o form_n of_o these_o vessel_n they_o be_v not_o make_v of_o one_o like_o fashion_n some_o make_v they_o like_o a_o bowl_n some_o like_o a_o head_n paint_v represent_v the_o wind_n some_o make_v they_o like_o a_o pear_n as_o though_o one_o will_v put_v it_o to_o roast_v at_o the_o fire_n when_o one_o will_v have_v it_o to_o blow_v for_o the_o tail_n of_o it_o be_v hollow_v in_o form_n of_o a_o funnel_n have_v at_o the_o top_n a_o very_a little_a hole_n no_o great_a than_o the_o head_n of_o a_o pin_n some_o do_v accustom_v to_o put_v within_o the_o aeolipile_n a_o crooked_a funnel_n of_o many_o folding_n to_o the_o end_n that_o the_o wind_n that_o impetuous_o roll_n to_o and_o fro_o within_o may_v imitate_v the_o noise_n of_o thunder_n other_o content_v themselves_o with_o a_o simple_a funnel_n place_v right_o upward_a somewhat_o wide_a at_o the_o top_n than_o elsewhere_o like_o a_o cone_n who_o basis_n be_v the_o mouth_n of_o the_o funnel_n and_o there_o may_v be_v place_v a_o bowl_n of_o iron_n or_o brass_n which_o by_o the_o vapour_n that_o be_v cast_v out_o will_v cause_v it_o to_o leap_v up_o and_o dance_v over_o the_o mouth_n of_o the_o aeolipile_n last_o some_o apply_v near_o to_o the_o hole_n small_a windmill_n or_o such_o like_a which_o easy_o turn_v by_o reason_n of_o the_o vapour_n or_o by_o help_n of_o two_o or_o more_o bow_v funnel_n a_o bowl_n may_v be_v make_v to_o turneâ—_n these_o aeolipile_n be_v of_o excellent_a use_n for_o the_o melt_a of_o metal_n and_o such_o like_a now_o it_o be_v cunning_a and_o subtlety_n to_o fill_v one_o of_o these_o aeolipile_n with_o water_n at_o so_o little_a a_o hole_n and_o therefore_o require_v the_o knowledge_n of_o a_o philosopher_n to_o find_v it_o out_o and_o the_o way_n be_v thus_o heat_v the_o aeolipile_n be_v empty_a and_o the_o air_n which_o be_v within_o it_o will_v become_v extreme_o rarefy_v then_o be_v thus_o hot_a throw_v it_o into_o water_n and_o the_o air_n will_v begin_v to_o be_v condense_v by_o which_o mean_v it_o will_v occupy_v less_o room_n therefore_o the_o water_n will_v immediate_o enter_v in_o at_o the_o hole_n to_o avoid_v vacuity_n thus_o you_o have_v some_o practical_a speculation_n upon_o the_o aeolipile_n problem_n lxix_o of_o the_o thermometer_n or_o a_o instrument_n to_o measure_v the_o degree_n of_o heat_n and_o cold_a in_o the_o air_n this_o instrument_n be_v like_o a_o cylindricall_a pipe_n of_o glass_n which_o have_v a_o little_a ball_n or_o bowl_n at_o the_o top_n the_o small_a end_n of_o which_o be_v place_v into_o a_o vessel_n of_o water_n below_o as_o by_o the_o figure_n may_v be_v see_v then_o put_v some_o colour_a liquor_n into_o the_o cylindricall_a glass_n as_o blue_a red_a yellow_a green_a or_o such_o like_a such_o as_o be_v not_o thick_a this_o be_v do_v the_o use_n may_v be_v thus_o those_o that_o will_v determine_v this_o change_n by_o number_n and_o degree_n may_v draw_v a_o line_n upon_o the_o cylinder_n of_o the_o thermometer_n and_o divide_v it_o into_o 4_o degree_n according_a to_o the_o ancient_a philosopher_n or_o into_o 4_o degree_n according_a to_o the_o physician_n divide_v each_o of_o these_o 8_o into_o 8_o other_o to_o have_v in_o all_o 64_o division_n &_o by_o this_o way_n they_o may_v not_o only_o distinguish_v upon_o what_o degree_n the_o water_n ascend_v in_o the_o morning_n at_o midday_n &_o at_o any_o other_o hour_n but_o also_o one_o may_v know_v how_o much_o one_o day_n be_v hot_a or_o cold_a than_o another_o by_o mark_v how_o many_o degree_n the_o water_n ascend_v or_o descend_v one_o may_v compare_v the_o hot_a and_o cold_a day_n in_o a_o whole_a year_n together_o with_o these_o of_o another_o year_n again_o one_o may_v know_v how_o much_o hot_a one_o room_n be_v than_o another_o by_o which_o also_o one_o may_v keep_v a_o chamber_n a_o furnace_n a_o stove_n etc._n etc._n always_o in_o a_o equality_n of_o heat_n by_o make_v the_o water_n of_o the_o thermometer_n rest_v always_o upon_o one_o &_o the_o same_o degree_n in_o brief_a one_o may_v judge_v in_o some_o measure_n the_o burn_a of_o fever_n and_o near_o unto_o what_o extension_n the_o air_n can_v be_v rarefy_v by_o the_o great_a heat_n many_o make_v use_v of_o these_o glass_n to_o judge_v of_o the_o weather_n for_o it_o be_v observe_v that_o if_o the_o water_n fall_v in_o 3_o or_o 4_o hour_n a_o degree_n or_o thereabouts_o that_o rain_n ensue_v and_o the_o water_n will_v stand_v at_o that_o stay_n until_o the_o weather_n change_n mark_v the_o water_n at_o your_o go_v to_o bed_n for_o if_o in_o the_o morning_n it_o have_v descend_v rain_n follow_v but_o if_o it_o be_v mount_v high_a it_o argue_v fair_a weather_n so_o in_o very_o cold_a weather_n if_o it_o fall_v sudden_o it_o 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in_o some_o measure_n fashion_v and_o compose_v after_o his_o proportion_n and_o we_o know_v that_o the_o ark_n of_o noah_n build_v by_o the_o commandment_n of_o god_n be_v in_o length_n 300_o cubit_n in_o breadth_n 50_o cubit_n in_o height_n or_o depth_n 30_o cubit_n so_o that_o the_o length_n contain_v the_o breadth_n 6_o time_n and_o 10_o time_n the_o depth_n now_o a_o man_n be_v measure_v you_o will_v find_v he_o to_o have_v the_o same_o proportion_n in_o length_n breadth_n and_o depth_n vilalpandus_n treat_v of_o the_o temple_n of_o solomon_n that_o chieftain_n of_o work_n be_v modulate_v all_o of_o good_a architecture_n and_o curious_o to_o be_v observe_v in_o many_o
show_v how_o one_o may_v serve_v himself_o with_o a_o concave_a glass_n to_o light_a fire_n in_o the_o shadow_n or_o near_o such_o a_o place_n where_o the_o sun_n shine_v not_o which_o be_v by_o help_n of_o a_o flat_a glass_n by_o which_o may_v be_v make_v a_o percussion_n of_o the_o beam_n of_o the_o sun_n into_o the_o concave_a glass_n add_v unto_o it_o that_o it_o serve_v to_o good_a use_n to_o put_v fiâ—e_v to_o a_o mine_n provide_v that_o the_o combustible_a matter_n be_v well_o apply_v before_o the_o concave_a glass_n in_o which_o he_o say_v true_a but_o because_o all_o the_o effect_n of_o the_o practice_n depend_v upon_o the_o place_n of_o the_o glass_n and_o the_o powder_n which_o he_o speak_v not_o of_o i_o will_v deliver_v here_o a_o rule_n more_o general_a how_o one_o may_v place_v a_o burning-glasse_n with_o his_o combustible_a matter_n in_o such_o sort_n that_o at_o a_o convenient_a hour_n of_o the_o day_n the_o sun_n shine_v it_o shall_v take_v fire_n and_o burn_v now_o 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question_n by_o way_n of_o arithmetic_n i_o will_v not_o inâ—ert_v iâ—_n this_o problem_n that_o which_o be_v draw_v from_o the_o â—reek_n epigram_n but_o propose_v the_o question_n immediate_o will_v give_v the_o answer_n also_o without_o â—â—aying_v to_o show_v the_o manner_n how_o they_o be_v answer_v in_o this_o i_o will_v 〈◊〉_d be_v tie_v to_o the_o â—reek_n term_n wâ—â—ch_o i_o account_v noâ—_n proper_a to_o this_o place_n neiâ—â—er_v to_o my_o purpose_n â—et_o tâ—oâ—e_v â—ead_a that_o will_v diâ—phanta_n sâ—â—â—â—biliuâ—_n upon_o euâ—liâ—â—_n and_o other_o and_o they_o may_v be_v satisfy_v of_o the_o 〈…〉_z the_o mule_n it_o 〈◊〉_d â—hat_n â—he_v mule_n and_o the_o ass_n upon_o a_o day_n 〈◊〉_d a_o voyage_n each_o of_o they_o carry_v a_o barrel_n full_a of_o wine_n now_o the_o lasâ—e_a ass_n fâ—lt_v herself_o overladen_a complain_v and_o bow_v under_o her_o burden_n which_o thâ—_n mule_n see_v say_v unto_o she_o be_v angry_a for_o it_o be_v in_o the_o time_n when_o beast_n speak_v thou_o great_a ass_n wherefore_o complain_v thou_o if_o i_o have_v but_o only_o one_o measure_n of_o that_o which_o thou_o carry_v i_o shall_v be_v load_v twice_o as_o much_o as_o thou_o be_v and_o if_o i_o shall_v give_v a_o measure_n of_o my_o load_n to_o thou_o yet_o my_o burden_n will_v be_v as_o much_o as_o thou_o now_o how_o many_o measure_n do_v each_o of_o they_o carry_v answer_v the_o mule_n do_v carry_v 7_o measure_n and_o the_o ass_n 5_o measure_n for_o if_o the_o mule_n have_v one_o of_o the_o measure_n of_o the_o ass_n load_v than_o the_o mule_n will_v have_v 8_o measure_n which_o be_v double_a to_o 4_o and_o give_v one_o to_o the_o ass_n each_o of_o they_o will_v have_v equal_a burden_n to_o wit_n 6_o measure_n apiece_o of_o the_o number_n of_o soldier_n that_o fight_v before_o old_a troy_n homer_n be_v ask_v by_o heâ—iodus_n how_o many_o grecian_a soldier_n come_v against_o troy_n who_o answer_v he_o thus_o the_o grecian_n say_v homer_n make_v 7_o fire_n or_o have_v 7_o 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have_v twice_o as_o much_o as_o thou_o have_v and_o b_o say_v to_o a_o give_v i_o 2_o crown_n of_o thy_o money_n and_o i_o shall_v have_v 4_o time_n as_o much_o as_o thou_o have_v now_o how_o much_o have_v each_o answer_v a_o have_v 3_o and_o 5_o seventhe_n and_o b_o have_v 4_o and_o 6_o seventhe_n about_o the_o hour_n of_o the_o day_n some_o one_o ask_v a_o mathemacian_a wat_fw-mi a_o clock_n it_o be_v who_o answer_v that_o the_o rest_n of_o the_o day_n be_v four_o three_o of_o that_o which_o be_v past_a now_o judge_v what_o a_o clock_n it_o be_v answer_v if_o the_o day_n be_v according_a to_o the_o jew_n and_o ancient_a roman_n which_o maâ—e_n it_o always_o to_o be_v 12_o hour_n it_o be_v then_o the_o â—_o hour_n and_o one_o seven_o of_o a_o houâ—e_n so_o there_o remain_v of_o the_o whole_a day_n 6_o that_o be_v 6_o hour_n and_o 6_o seventh_n of_o a_o hour_n now_o if_o you_o take_v the_o 1_o â—_o of_o 5_o â—_o 7_o it_o be_v â—2_n 7_o or_o â—_o and_o â—_o 7_o which_o multiple_v by_o 4_o make_v 6_o and_o 6_o 7_o which_o be_v the_o remainder_n of_o the_o day_n as_o before_o but_o if_o the_o day_n have_v be_v 24_o hour_n than_o the_o hour_n have_v be_v 10_o of_o the_o clock_n and_o two_o seventhe_n of_o a_o hour_n which_o be_v find_v out_o by_o divide_v 12_o or_o 24_o by_o â—_o there_o may_v have_v be_v add_v many_o curious_a proposition_n in_o this_o kind_n but_o they_o will_v be_v too_o difficult_a for_o the_o most_o part_n of_o people_n therefore_o i_o have_v omit_v they_o of_o pythagoras_n his_o scholar_n pythagoras_n be_v ask_v what_o number_n of_o scholar_n he_o have_v answer_v that_o half_a of_o they_o study_a mathematics_n the_o four_o part_n physic_n the_o seven_o part_n rhetoric_n and_o beside_o he_o have_v 3_o woman_n now_o judge_v you_o say_v he_o how_o many_o scholar_n i_o have_v answer_v he_o have_v in_o all_o 28_o the_o half_a of_o which_o be_v 14_o the_o quarter_n of_o which_o be_v 7_o and_o the_o seven_o part_n of_o which_o be_v which_o 14_o 7_o and_o 4_o make_v 25_o and_o the_o other_o 3_o to_o make_v up_o the_o 28_o be_v the_o 3_o woman_n of_o the_o number_n of_o apple_n give_v among_o the_o grace_n and_o the_o muse_n the_o three_o grace_n carry_v apple_n upon_o a_o day_n the_o one_o as_o many_o as_o the_o other_o meet_v with_o the_o 9_o muse_n who_o ask_v of_o they_o some_o of_o their_o apple_n so_o each_o of_o the_o grace_n give_v to_o each_o of_o the_o muse_n alike_o and_o the_o distribution_n be_v make_v they_o find_v that_o the_o grace_n &_o the_o muse_n have_v one_o as_o many_o as_o the_o other_o the_o question_n be_v how_o many_o apple_n each_o grace_n have_v and_o how_o many_o they_o give_v to_o each_o muse_n â—o_o answer_n the_o qeustion_n join_v the_o number_n of_o grace_n and_o muse_n together_o which_o make_v 12_o and_o so_o many_o apple_n have_v each_o grace_n now_o may_v you_o take_v the_o double_a triple_a etc._n etc._n of_o 12_o that_o be_v 24_o 36_o etc._n etc._n conditional_o that_o if_o each_o grace_n have_v but_o 12_o then_o may_v there_o be_v allot_v to_o each_o muse_n but_o one_o only_a if_o 24_o then_o to_o each_o 2_o apple_n if_o â—6_n then_o to_o each_o muse_n 3_o apple_n and_o so_o the_o distribution_n be_v make_v they_o have_v a_o like_a number_n that_o be_v one_o as_o many_o as_o the_o other_o of_o the_o testament_n or_o last_o will_n of_o a_o die_a father_n a_o die_a father_n leave_v a_o thousand_o crown_n among_o his_o two_o child_n the_o one_o be_v legitimate_a and_o the_o other_o a_o bastard_n conditional_o that_o the_o five_o part_n which_o his_o legitimate_a son_n shall_v have_v shall_v exceed_v by_o 10_o the_o four_o part_n of_o that_o which_o the_o bastard_n shall_v have_v what_o be_v each_o 〈◊〉_d part_n answer_v the_o legitimate_a son_n have_v 577_o crown_n and_o 7_o â—_o and_o the_o bastard_n 42â—_n crown_n and_o 2_o 9_o now_o the_o five_o part_n of_o 577_o and_o 7_o ninthe_n be_v 1â—5_n and_o 5_o 9_o and_o the_o four_o part_n of_o 422_o and_o â—_o be_v 105_o 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seven_o part_n terpomene_n the_o four_o part_n polyhymnia_n take_v away_o 30_o urania_n 220_o and_o calliope_n 300._o so_o there_o be_v leave_v i_o but_o 5_o appl_n how_o many_o have_v he_o in_o all_o at_o the_o first_o i_o answer_n 3â—60_n there_o be_v a_o infinite_a of_o such_o like_a question_n among_o the_o greek_a epigram_n but_o it_o will_v be_v unpleasant_a to_o express_v they_o all_o i_o will_v only_o add_v one_o more_o and_o show_v a_o general_a rule_n for_o all_o the_o rest_n of_o a_o man_n age._n a_o man_n be_v say_v to_o pass_v the_o six_o part_n of_o his_o life_n in_o childhood_n the_o four_o part_n in_o his_o youth_n the_o â—hird_n part_n in_o manhood_n and_o 18_o year_n beside_o in_o old_a age_n what_o may_v his_o age_n be_v the_o answer_n be_v 72_o year_n which_o and_o all_o other_o be_v thus_o resolve_v multiply_v 1_o â—_o ¼_n and_o â…“_n together_o that_o be_v 6_o by_z 4_o make_v 24_o and_o that_o again_o by_o 3_o make_v 72_o then_o take_v the_o three_o part_n of_o 72_o which_o be_v 24_o the_o four_o part_n of_o it_o which_o be_v 18_o and_o the_o six_o part_n of_o it_o which_o be_v 12_o these_o add_v together_o make_v 54_o which_o take_v from_o 72_o rest_v 18_o this_o divide_a by_o 18_o speak_v in_o the_o question_n give_v 1_o which_o multiply_v by_o the_o sum_n of_o the_o part_n viz._n 72_o make_v 72_o the_o answer_n as_o before_o of_o the_o lion_n of_o bronze_n place_v upon_o a_o fountain_n with_o this_o epigram_n out_o of_o my_o right_a eye_n if_o i_o let_v water_n pass_v i_o can_v fill_v the_o cistern_n in_o 2_o day_n if_o i_o let_v it_o pass_v out_o of_o the_o left_a eye_n it_o will_v be_v fill_v in_o 3_o day_n if_o it_o pass_v out_o of_o my_o foot_n the_o cistern_n will_v be_v 4_o day_n aâ—filling_v but_o if_o i_o let_v the_o water_n pass_v out_o of_o my_o mouth_n i_o can_v fill_v the_o cistern_n then_o in_o 6_o hour_n in_o what_o time_n shall_v i_o fill_v it_o if_o i_o pour_v forth_o the_o water_n at_o all_o the_o passage_n at_o once_o 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because_o the_o mark_n c_o be_v see_v at_o d_o move_z the_o musket_n to_o and_o fro_o until_o it_o do_v agree_v with_o the_o line_n of_o reflection_n mb_n which_o suppose_v at_o li_n so_o shall_v it_o be_v true_o place_v and_o give_v fire_n to_o the_o musket_n it_o shall_v not_o fail_v to_o strike_v the_o say_a mark_n at_o c._n problem_n lxxx_o how_o to_o make_v a_o image_n to_o be_v see_v hang_v in_o the_o air_n have_v his_o head_n downward_o take_v two_o glass_n and_o place_v they_o at_o right_a angle_n one_o unto_o the_o other_o as_o admit_v ab_fw-la and_o cb_n of_o which_o admit_v cb_n hoâ—izontall_a and_o let_v the_o eye_n be_v at_o h_n and_o the_o object_n or_o image_n to_o be_v de_fw-fr so_o d_o will_v be_v reflect_v at_o f_o so_o to_o n_o so_o to_o he_o then_o at_o g_z so_o to_o â—_o and_o then_o to_o h_n and_o by_o a_o double_a reflection_n ed_z will_v seem_v in_o qr_n the_o high_a point_n d_o in_o r_o and_o the_o point_n l_o in_o q_n inverse_v as_o be_v say_v take_v d_o for_o the_o head_n and_o e_z for_o the_o foot_n so_o it_o will_v be_v a_o man_n inverse_v which_o will_v seem_v to_o be_v fly_v in_o the_o air_n if_o the_o image_n have_v wing_n unto_o it_o and_o have_v secret_o 〈◊〉_d motion_n and_o if_o the_o glass_n be_v big_a enough_o to_o receive_v many_o reflection_n it_o will_v deceive_v the_o sight_n the_o more_o by_o admire_v the_o change_n of_o colour_n that_o will_v be_v see_v by_o that_o motion_n problem_n lxxxi_o how_o to_o make_v a_o company_n of_o representative_a soldier_n seem_v to_o be_v a_o regiment_n or_o how_o few_o in_o number_n may_v be_v multiply_v to_o seem_v to_o be_v many_o in_o number_n to_o make_v the_o experiment_n upon_o man_n there_o must_v be_v prepare_v two_o great_a glass_n but_o in_o stead_n of_o it_o we_o will_v suppose_v two_o lesser_a as_o gh_v and_o fi_n one_o place_v right_o against_o another_o perpendicular_a to_o the_o horizon_n upon_o a_o plain_a level_n table_n between_o which_o glass_n let_v there_o be_v range_v 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pliny_n assure_v we_o in_o his_o 26_o book_n and_o 8_o chap._n that_o the_o emperor_n augustus_n have_v accommodate_v in_o the_o field_n of_o mars_n a_o obeliske_n of_o this_o height_n he_o make_v about_o it_o a_o pavement_n and_o by_o the_o industry_n of_o manâ—lius_n the_o mathematician_n there_o be_v enchace_v mark_n of_o copper_n upon_o the_o pavement_n and_o place_v also_o a_o apple_n of_o gold_n upon_o the_o top_n of_o the_o say_a obeliske_n to_o know_v the_o hour_n and_o the_o course_n of_o the_o sun_n with_o the_o increase_n and_o decrease_v of_o day_n by_o the_o same_o shadow_n and_o in_o the_o same_o manner_n do_v some_o by_o the_o shadow_n of_o their_o head_n or_o other_o style_n make_v the_o like_a experiment_n in_o astronomy_n of_o dial_n with_a glass_n ptâ—lomie_n wâ—ites_v as_o cardanus_n report_v that_o long_o ago_o there_o be_v glass_n which_o serve_v for_o dial_n and_o present_v the_o face_n of_o the_o beholder_n as_o many_o time_n as_o the_o hour_n ought_v to_o be_v twice_o if_o it_o be_v 2_o of_o the_o clock_n 9_o if_o it_o be_v 9_o etc._n etc._n but_o this_o be_v think_v to_o be_v do_v by_o the_o help_n of_o water_n and_o not_o by_o glass_n which_o do_v leak_n by_o little_a and_o little_a out_o of_o the_o vessel_n discover_v anon_o one_o glass_n than_o anon_o two_o glass_n than_o 3_o 4_o 5_o glass_n etc._n etc._n to_o show_v so_o many_o face_n as_o there_o be_v hour_n which_o be_v only_o by_o leak_a of_o water_n of_o a_o dial_n which_o have_v a_o glass_n in_o the_o place_n of_o the_o style_n what_o will_v you_o say_v of_o the_o invention_n of_o mathematician_n which_o find_v out_o daily_o so_o many_o fine_a and_o curious_a novelty_n they_o have_v now_o a_o way_n to_o make_v dial_n upon_o the_o wainscot_n or_o ceiling_n of_o a_o chamber_n and_o there_o where_o the_o sun_n can_v never_o shine_v or_o the_o beam_n of_o the_o sun_n can_v direct_o strike_v and_o this_o be_v do_v in_o place_v of_o a_o little_a glass_n in_o the_o place_n of_o the_o style_n which_o reflect_v the_o light_n with_o the_o same_o condition_n that_o the_o shadow_n of_o the_o style_n show_v the_o hour_n and_o it_o be_v easy_a to_o make_v experiment_n upon_o a_o common_a dial_n change_v only_o the_o disposition_n of_o the_o dial_n and_o tie_v to_o the_o end_n of_o the_o style_n a_o piece_n of_o plain_a glass_n the_o almain_n use_v it_o much_o who_o by_o this_o way_n have_v no_o great_a trouble_n but_o to_o put_v their_o nose_n out_o of_o their_o bed_n and_o see_v what_o a_o clock_n it_o be_v which_o be_v reflect_v
of_o rocket_n in_o each_o of_o which_o you_o may_v place_v 6_o 9_o â—2_n or_o 20_o small_a rocket_n now_o give_v fire_n at_o a._n by_o help_n of_o a_o piece_n of_o primer_n go_v from_o one_o lance_n to_o another_o all_o the_o lance_n will_v instant_o at_o once_o be_v light_v and_o as_o soon_o as_o the_o lance_n at_o a_o be_v consume_v it_o will_v fire_v the_o channel_n which_o be_v make_v in_o the_o ledge_n of_o the_o frame_n which_o run_v under_o the_o pot_n of_o fire_n and_o as_o the_o fire_n go_v along_o burn_v the_o pot_n will_v be_v cast_v forth_o and_o so_o the_o rank_n of_o pot_n upon_o the_o side_n of_o the_o frame_n ab.bc._n and_o cd_o be_v spend_v the_o soucison_n will_v begin_v to_o play_v be_v fire_v also_o by_o a_o channel_n which_o run_v under_o they_o upon_o the_o ledge_n ad_fw-la hang_v and_o re._n then_o when_o the_o soucison_n be_v spend_v upon_o the_o last_o ledge_n re._n there_o may_v be_v a_o secret_a channel_n in_o the_o ledge_n cd_o which_o may_v fire_v the_o 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be_v fix_v wherefore_o by_o the_o former_a rule_n you_o may_v find_v the_o place_n of_o the_o sun_n upon_o it_o if_o the_o dyal_a be_v not_o fix_v neither_o you_o have_v a_o meridian_n line_n but_o you_o know_v the_o true_a hour_n of_o the_o day_n exact_o hold_v the_o dyal_a even_o and_o parallel_v to_o the_o horizon_n move_v it_o till_o the_o slant_v edge_n of_o the_o stile_n cast_v his_o shadow_n just_o upon_o the_o time_n or_o hour_n give_v for_o then_o the_o dyal_a be_v true_o place_v as_o upon_o a_o post_n seek_v therefore_o what_o point_n of_o the_o upright_a shadow_n fall_v upon_o that_o very_a hour_n and_o there_o be_v the_o place_n of_o the_o sun_n but_o if_o your_o dyal_a be_v loose_a and_o you_o know_v neither_o the_o meridian_n nor_o the_o time_n of_o the_o day_n first_o by_o the_o day_n of_o the_o month_n in_o the_o ecliptic_a find_v the_o suâ—s_n parallel_n or_o diurnal_a arch_n for_o that_o day_n than_o hold_v the_o dyal_a level_n to_o the_o horizon_n move_v it_o every_o 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which_o have_v here_o be_v teach_v concern_v the_o find_v out_o the_o sun_n true_a place_n in_o the_o dyal_a ought_v perfect_o to_o be_v understand_v that_o it_o may_v be_v ready_o and_o dexterious_o practise_v for_o upon_o the_o true_a performance_n thereof_o depend_v all_o that_o follow_v ix_o use_n to_o find_v the_o hour_n of_o the_o day_n if_o the_o dyal_a be_v fasten_v upon_o a_o post_n the_o hour_n by_o the_o outward_a dyal_a or_o limb_n be_v know_v of_o every_o one_o and_o the_o upright_a shadow_n in_o the_o sun_n parallel_n or_o diurnal_a arch_n will_v also_o show_v the_o very_a same_o hour_n but_o if_o the_o dial_n be_v loose_a either_o hold_v it_o or_o set_v it_o parallel_v to_o the_o horizon_n with_o the_o style_n point_v into_o the_o north_n and_o move_v it_o gentle_o every_o way_n until_o the_o hour_n show_v in_o both_o diall_n exact_o agree_v or_o which_o be_v all_o one_o find_v out_o the_o true_a place_n of_o the_o sun_n upon_o the_o dial_n as_o be_v teach_v in_o the_o 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then_o follow_v with_o your_o eye_n the_o upright_a shadow_n in_o a_o straight_a line_n till_o it_o cut_v the_o horizon_n for_o the_o degree_n in_o which_o the_o point_n of_o intersection_n be_v shall_v show_v how_o far_o the_o sun_n azumith_n be_v distant_a from_o the_o east_n and_o west_n point_n and_o the_o compliment_n thereof_o unto_o 90_o shall_v give_v the_o distance_n thereof_o from_o the_o meridian_n xii_o use_v to_o find_v out_o the_o declination_n of_o any_o wall_n upon_o which_o the_o sun_n shine_v that_o be_v how_o far_o that_o wall_n swerve_v from_o the_o north_n or_o south_n either_o eastward_a or_o westward_o take_v aboard_o have_v one_o straight_o edge_n