Selected quad for the lemma: day_n

Word A	Word B	Word C	Word D	Occurrence	Frequency Band	MI	MI Band	Prominent
day_n	half_a	hour_n	quarter_n	7,627	5	11.1436	5	true

Text snippets containing the quad

ID	Title	Author	Corrected Date of Publication (TCP Date of Publication)	STC	Words	Pages
A48262	Mathematicall recreations. Or, A collection of many problemes, extracted out of the ancient and modern philosophers as secrets and experiments in arithmetick, geometry, cosmographie, horologiographie, astronomie, navigation, musick, opticks, architecture, statick, mechanicks, chemistry, water-works, fire-works, &c. Not vulgarly manifest till now. Written first in Greeke and Latin, lately compi'ld in French, by Henry Van Etten, and now in English, with the examinations and augmentations of divers modern mathematicians whereunto is added the description and use of the generall horologicall ring: and the double horizontall diall. Invented and written by William Oughtred.; Récréation mathématique. English.	Oughtred, William, 1575-1660. aut	1653 (1653)	Wing L1790; ESTC R217635	140,825	339

every_o day_n and_o also_o for_o the_o show_v of_o the_o sun_n yearly_a motion_n because_o by_o this_o motion_n the_o sun_n go_v round_o about_o the_o heaven_n in_o the_o compass_n of_o a_o year_n make_v the_o four_o part_n or_o season_n thereof_o namely_o the_o spring_n in_o that_o quarter_n of_o the_o ecliptic_a which_o begin_v at_o the_o intersection_n on_o the_o east_n side_n of_o the_o dial_n and_o be_v therefore_o call_v the_o vernal_a intersection_n then_o the_o summer_n in_o that_o quarter_n of_o the_o ecliptic_a which_o begin_v at_o the_o intersection_n with_o the_o meridian_n in_o the_o high_a point_n next_o the_o zenith_n after_o that_o autumn_n in_o that_o quarter_n of_o the_o ecliptic_a which_o begin_v at_o the_o intersection_n on_o the_o west_n side_n of_o the_o dial_n and_o be_v therefore_o call_v the_o autumnal_a intersection_n and_o last_o the_o winter_n in_o that_o quarter_n of_o the_o ecliptic_a which_o begin_v at_o the_o intersection_n with_o the_o meridian_n i●_n the_o low_a point_n next_o the_o horizon_n but_o desides_fw-la this_o yearly_a motte●_n the_o sun_n have_v a_o diurnal_a or_o daily_a motion_n whereby_o it_o make_v day_n and_o night_n with_o all_o the_o diversity_n and_o inaequality_n thereof_o which_o be_v express_v by_o those_o other_o circle_v draw_v across_o the_o hour_n line_n the_o middlemost_a whereof_o be_v grosser_n than_o the_o rest_n meet_v with_o the_o ecliptic_a in_o the_o point_n of_o the_o vernal_a and_o autumnal_a intersection_n be_v the_o equinoctial_a and_o the_o rest_n on_o both_o side_n of_o it_o be_v call_v the_o parallel_n or_o diurnal_a arch_n of_o the_o sun_n the_o two_o outermost_a whereof_o be_v the_o tropic_n because_o in_o they_o the_o sun_n have_v his_o far_a digression_n or_o declination_n from_o the_o aequinoctial_a which_o be_v degree_n 23_o 1_o ●_o and_o thence_o begin_v again_o to_o return_v towards_o the_o equinoctial_a the_o upper_a of_o the_o two_o tropic_n in_o this_o nor_o northern_a hemisphere_n be_v the_o tropic_a of_o cancer_n and_o the_o sun_n be_v in_o it_o be_v high_a into_o the_o north_n make_v the_o long_a day_n of_o summer_n and_o the_o low_a next_o the_o horizon_n be_v the_o tropic_a of_o capricorn_n and_o the_o sun_n be_v in_o it_o be_v low_a into_o the_o south_n make_v the_o short_a day_n of_o winter_n between_o the_o two_o tropic_n and_o the_o aequinoctial_a infinite_a such_o parallel_n circle_n be_v understand_v to_o be_v contain_v for_o the_o sun_n in_o what_o point_n soever_o of_o the_o ecliptic_a it_o be_v carry_v describe_v by_o his_o lation_n a_o circle_n parallel_n to_o the_o aequinoctial_a yet_o those_o parallel_n which_o be_v in_o the_o instrument_n though_o draw_v but_o to_o every_o second_o degree_n of_o declination_n may_v be_v sufficient_a to_o direct_v the_o eye_n in_o imagine_v and_o trace_v out_o through_o every_o day_n of_o the_o whole_a year_n in_o the_o ecliptic_a a_o proper_a circle_n which_o may_v be_v the_o diurnal_a arch_n of_o the_o sun_n for_o that_o day_n for_o upon_o the_o right_a estimation_n of_o that_o imaginary_a parallel_n do_v the_o manifold_a use_n of_o this_o instument_n especial_o rely_v because_o the_o true_a place_n of_o the_o sun_n all_o that_o day_n be_v in_o some_o part_n or_o point_n of_o that_o circle_n wherefore_o for_o the_o bet●er_n conceive_v and_o bear_v in_o mind_n thereof_o every_o five_o parallel_n be_v herein_o make_v a_o little_o g●osser_a than_o the_o rest_n for_o this_o inner_a dial_n serve_v the_o shadow_n of_o the_o upright_a edge_n of_o the_o style_n which_o i_o therefore_o call_v the_o upright_a shadow_n and_o thus_o by_o the_o eye_n and_o view_v only_a to_o behold_v and_o comprehend_v the_o course_n of_o the_o sun_n throughout_o the_o whole_a year_n both_o for_o his_o annual_a and_o diurnal_a motion_n may_v be_v the_o first_o use_n of_o this_o instrument_n two_o use._n to_o find_v the_o declination_n of_o the_o sun_n every_o day_n look_v the_o day_n of_o the_o month_n propose_v in_o the_o ecliptic_a and_o mark_v how_o many_o degree_n the_o prick_n show_v that_o day_n be_v distant_a from_o the_o equinoctial_a either_o on_o the_o summer_n or_o winter_n side_n viz._n north_n or_o south_n example_n 1._o what_o will_v the_o declination_n of_o the_o sun_n be_v upon_o the_o eleven●h_o day_n of_o august_n look_v the_o eleven_o day_n of_o august_n and_o you_o shall_v find_v it_o in_o the_o six_o circle_n above_o the_o equinoctial_a now_o because_o each_o parallel_n stand_v as_o have_v be_v say_v before_o for_o two_o degree_n the_o sun_n shall_v that_o day_n decline_v northwards_o 12._o degree_n example_n 2._o what_o declination_n have_v the_o sun_n upon_o the_o 24_o day_n of_o march_n look_v the_o 24_o day_n of_o march_n and_o you_o shall_v find_v it_o between_o the_o second_o and_o three_o northern_a parallel_n as_o it_o be_v a_o half_a and_o one_o five_o part_n of_o that_o distance_n from_o the_o second_o reckon_v therefore_o four_o degree_n for_o the_o two_o circle_n and_o one_o de●ree_n for_o the_o half_a space_n so_o shall_v the_o sun_n declination_n be_v five_o degree_n and_o about_o one_o five_o part_n of_o a_o degree_n northward_o that_o same_o day_n example_n 3._o what_o declination_n have_v the_o sun_n upon_o the_o 13_o day_n of_o november_n look_v the_o 13_o day_n of_o november_n and_o you_o shall_v find_v it_o below_o the_o equinoctial_a ten_o parallel_n and_o about_o one_o quarter_n which_o be_v 20_o degree_n and_o a_o half_a southward_a so_o much_o be_v the_o declination_n and_o according_a to_o these_o example_n judge_v of_o all_o the_o rest_n iii_o use._n to_o find_v the_o diurnal_a arch_n or_o circle_n of_o the_o sun_n course_n every_o day_n the_o sun_n every_o day_n by_o his_o motion_n as_o have_v be_v say_v describe_v a_o circle_n parallel_n to_o the_o equinoctial_a which_o be_v either_o one_o of_o the_o circle_n in_o the_o dial_n or_o somewhere_o between_o two_o of_o they_o first_o therefore_o se●k_v the_o day_n of_o the_o month_n and_o if_o it_o fall_v upon_o one_o of_o those_o parallel_n that_o be_v the_o circle_n of_o the_o sun_n course_n that_o same_o day_n but_o if_o it_o fall_v between_o any_o two_o of_o the_o parallel_n imagine_v in_o your_o mind●_n and_o estimate_n with_o your_o eye_n another_o parallel_n through_o that_o point_n between_o those_o two_o parallel_n keep_v still_o the_o same_o distance_n from_o each_o of_o they_o as_o in_o the_o first_o of_o the_o three_o former_a example_n the_o circle_n of_o the_o sun_n course_n upon_o 11_o of_o august_n shall_v be_v the_o very_a six_o circle_n above_o the_o equinoctial_a towards_o the_o centre_n in_o example_n 2._o the_o circle_n of_o the_o sun_n cou●se_v upon_o the_o 24_o of_o march_n shall_v be_v a_o imaginary_a circle_n between_o the_o second_o and_o three_o parallel_v still_o keep_v a_o half_a of_o that_o space_n and_o one_o five_o part_n more_o of_o the_o rest_n from_o the_o second_o in_o example_n 3_o the_o circle_n of_o the_o sun_n course_n upon_o the_o 13_o of_o november_n shall_v be_v a_o imaginary_a circle_n between_o the_o ten_o and_o eleven_o parallel_v below_o the_o equinoctial_a still_o keep_v one_o quarter_n of_o that_o space_n from_o the_o ten_o four_o use._n to_o find_v the_o r●sing_n and_o set_v of_o the_o sun_n everyday_n 〈…〉_z as_o be_v last_o show_v the_o imaginary_a circle_n or_o parallel_v of_o the_o sun_n course_n for_o that_o day_n and_o mark_v the_o point_n where_o it_o meet_v with_o the_o horizon_n both_o on_o the_o east_n and_o w●st_a side_n for_o that_o be_v the_o very_a point_n of_o the_o sun_n r●sing_v and_o set_v that_o same_o day_n and_o the_o hour_n line_n which_o be_v on_o both_o side_n of_o it_o by_o proportion_v the_o distance_n reasonable_o according_a to_o 15_o minute_n for_o the_o quarter_n of_o the_o hour_n will_v show_v the_o hour_n of_o the_o sun_n rise_v on_o the_o east_n side_n and_o the_o sun_n set_v on_o the_o west_n side_n v_o use._n to_o know_v the_o reason_n and_o manner_n of_o the_o increase_v and_o decrease_v of_o the_o nights●hroughout_n ●hroughout_z the_o whole_a year_n when_o the_o sun_n be_v in_o the_o equinoctial_a it_o rise_v and_o set_v at_o 6_o a_o clock_n for_o in_o the_o instrument_n the_o intersection_n of_o the_o equinoctial_a and_o the_o ecliptic_a with_o the_o horizon_n be_v in_o the_o six_o a_o clock_n circle_n on_o both_o side_n but_o if_o the_o sun_n be_v out_o of_o the_o equinoctial_a decline_v towards_o the_o north_n the_o intersection_n of_o the_o parallel_n of_o the_o sun_n with_o the_o horizon_n be_v before_o 6_o in_o the_o morning_n and_o after_o 6_o in_o the_o evening_n and_o the_o diurnal_a arch_n great_a than_o 12_o hour_n and_o so_o much_o more_o great_a the_o great_a the_o northern_a declination_n be_v again_o if_o the_o sun_n be_v decline_v towards_o the_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 30●_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 climate_n problem_n xcvi_o of_o longitude_n and_o latitude_n of_o the_o earth_n and_o of_o the_o star_n longitude_n of_o a_o country_n or_o place_n be_v a_o arcke_n of_o the_o aequator_fw-la contain_v between_o the_o meridian_n of_o the_o azore_n and_o the_o meridian_n of_o the_o place_n and_o the_o great_a longitude_n that_o can_v be_v be_v 360_o degree_n note_n that_o the_o first_o meridian_n may_v be_v take_v at_o pleasure_n upon_o the_o terrestrial_a globe_n or_o map_n for_o that_o some_o of_o the_o ancient_a astronomer_n will_v have_v it_o at_o hercules_n pillar_n which_o be_v at_o the_o straits_n at_o gibraltar_n ptolemy_n place_v it_o at_o the_o canary_n island_n but_o now_o in_o these_o latter_a time_n it_o be_v hold_v to_o be_v near_o the_o azore_n but_o why_o it_o be_v first_o place_v by_o ptolemy_n at_o the_o canary_n island_n be_v because_o that_o in_o his_o time_n these_o island_n be_v the_o far_a western_a part_n of_o the_o world_n that_o be_v then_o discover_v and_o why_o it_o retain_v his_o place_n now_o at_o saint_n michael_n near_o the_o azore_n be_v that_o because_o of_o many_o accurate_a observation_n make_v of_o late_a by_o many_o expert_a navigator_n and_o mathematician_n they_o have_v find_v the_o needle_n there_o to_o have_v no_o variation_n but_o to_o point_v north_n and_o south_n that_o be_v to_o each_o pole_n of_o the_o world_n and_o why_o the_o longitude_n from_o thence_o be_v account_v eastward_n be_v from_o the_o motion_n of_o the_o sun_n eastward_o or_o that_o ptolemy_n and_o other_o do_v hold_v it_o more_o convenient_a to_o begin_v from_o the_o western_a part_n of_o the_o world_n and_o so_o account_v the_o longitude_n eastward_o from_o country_n to_o country_n that_o be_v then_o know_v till_o they_o come_v to_o the_o eastern_a part_n of_o asia_n rather_o than_o to_o make_v a_o beginning_n upon_o that_o which_o be_v unknown_a and_o have_v make_v up_o their_o account_n of_o reckon_v the_o longitude_n from_o the_o western_a part_n to_o the_o eastern_a part_n of_o the_o world_n know_v they_o suppose_v the_o rest_n to_o be_v all_o sea_n which_o since_o their_o death_n have_v be_v find_v almost_o to_o be_v another_o habitable_a world_n to_o find_v the_o longitude_n of_o a_o country_n if_o it_o be_v upon_o the_o globe_n bring_v the_o country_n to_o the_o brazen_a meridian_n and_o whatsoever_o degree_n that_o meridian_n cut_v in_o the_o equinoctial_a that_o degree_n be_v the_o longitude_n of_o that_o place_n if_o it_o be_v in_o a_o map_n then_o mark_v what_o meridian_n pass_v over_o it_o so_o have_v you_o the_o longitude_n thereof_o if_o no_o meridian_n pass_v over_o it_o then_o take_v a_o pair_n of_o compass_n and_o measure_v the_o distance_n between_o the_o place_n and_o the_o next_o meridian_n and_o apply_v it_o to_o the_o divide_a parallel_n or_o aequator_fw-la so_o have_v you_o the_o longitude_n require_v of_o the_o latitude_n of_o country_n latitude_n of_o a_o country_n be_v the_o distance_n of_o a_o country_n from_o the_o equinoctial_a or_o it_o be_v a_o ark_n of_o the_o meridian_n contain_v between_o the_o zenith_n of_o the_o place_n and_o the_o aequator_fw-la which_o be_v twofold_a viz._n either_o north-latitude_n or_o south-latitude_n either_o of_o which_o extend_v from_o the_o equinoctial_a to_o either_o pole_n so_o the_o great_a latitude_n that_o can_v be_v be_v but_o 90_o degree_n if_o any_o northern_a country_n have_v the_o arctic_a circle_n vertical_a which_o be_v in_o the_o latitude_n of_o 66._o gr_n 30._o m._n the_o sun_n will_v touch_v the_o horizon_n in_o the_o north_n part_v thereof_o and_o the_o long_a day_n will_v be_v there_o then_o 24_o hour_n if_o the_o country_n have_v less_o latitude_n than_o 66._o degree_n 30._o m._n the_o sun_n will_v rise_v and_o set_v but_o if_o it_o have_v more_o latitude_n than_o 66._o gr_n 30_o m._n it_o will_v be_v visible_a for_o many_o day_n and_o if_o the_o country_n be_v under_o the_o pole_n the_o sun_n will_v make_v a_o circular_a motion_n above_o the_o earth_n and_o be_v visible_a for_o a_o half_a year_n so_o under_o the_o pole_n there_o will_v be_v but_o one_o day_n and_o one_o night_n in_o the_o whole_a year_n to_o find_v the_o latitude_n of_o country_n if_o it_o be_v upon_o a_o globe_n bring_v the_o place_n to_o the_o brazen_a meridian_n and_o the_o number_n of_o degree_n which_o it_o meet_v therewith_o be_v the_o latitude_n of_o the_o place_n or_o with_o a_o pair_n of_o compass_n take_v the_o distance_n between_o the_o country_n and_o the_o equinoctial_a which_o apply_v unto_o the_o equinoctial_a will_v show_v the_o latitude_n of_o that_o country_n which_o be_v equal_a to_o the_o pole_n height_n if_o it_o be_v upon_o a_o map_n then_o mark_v what_o parallel_n pass_v over_o the_o country_n and_o where_o it_o cross_v the_o meridian_n that_o shall_v be_v the_o latitude_n but_o if_o ●o_o parallel_n pass_v over_o it_o then_o take_v the_o distance_n between_o the_o place_n and_o the_o next_o parallel_n which_o apply_v to_o the_o divide_a meridian_n from_o that_o parallel_n will_v show_v the_o latitude_n of_o that_o place_n to_o find_v the_o distance_n of_o place_n if_o it_o be_v upon_o a_o globe_n then_o with_o a_o pair_n of_o compass_n take_v the_o distance_n between_o the_o two_o place_n and_o apply_v it_o to_o the_o divide_a meridian_n or_o aequator_fw-la and_o the_o number_n of_o degree_n shall_v show_v ●e_a distance_n each_o degree_n be_v 60._o mile_n ●f_o it_o be_v in_o a_o map_n according_a to_o wright_n pro●ection_n take_v the_o distance_n with_o a_o pair_n of_o compass_n between_o the_o two_o place_n and_o apply_v this_o distance_n to_o the_o divide_a meridian_n on_o the_o map_n right_a against_o the_o two_o place_n so_o as_o many_o degree_n as_o be_v contain_v between_o the_o foot_n of_o the_o

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 ho●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

sundry_a experiment_n have_v be_v make_v in_o this_o nature_n and_o the_o bullet_n never_o find_v but_o it_o be_v hard_o to_o believe_v this_o assertion_n it_o may_v rather_o be_v suppose_v that_o the_o bullet_n fall_v far_o from_o the_o piece_n can_v be_v discern_v where_o it_o fall_v and_o so_o come_v to_o be_v lose_v 4._o in_o the_o four_o place_n it_o may_v be_v ask_v whether_o the_o discharge_n of_o a_o cannon_n b●_n so_o much_o the_o great_a by_o how_o much_o it_o be_v long_o it_o seem_v at_o the_o first_o to_o be_v most_o true_a that_o the_o long_o the_o piece_n be_v the_o more_o violent_a it_o shoot_v and_o to_o speak_v general_o that_o which_o be_v direction_n by_o a_o trunk_n pipe_n or_o other_o concavitie_n be_v convey_v so_o much_o the_o more_o violent_a or_o better_o by_o how_o much_o it_o be_v long_o either_o in_o respect_n of_o the_o sight_n hear_v water_n fire_n etc._n etc._n &_o the_o reason_n seem_v to_o hold_v in_o cannon_n because_o in_o those_o that_o be_v long_o the_o fire_n be_v retain_v a_o long_a time_n in_o the_o concavitie_n of_o the_o piece_n and_o so_o throw_v out_o the_o bullet_n with_o more_o violence_n and_o experience_n let_v we_o see_v that_o take_a cannon_n of_o the_o same_o boar_n but_o of_o diversity_n of_o length_n from_o 8_o foot_n to_o 12_o that_o the_o cannon_n of_o 9_o foot_n long_o have_v more_o force_n than_o that_o of_o 8_o foot_n long_o and_o 10_o more_o than_o that_o of_o 9_o and_o so_o unto_o 12_o foot_n of_o length_n now_o the_o usual_a cannon_n carry_v 600_o pace_n some_o more_o some_o less_o yea_o some_o but_o 200_o pace_n from_o the_o piece_n and_o may_v shoot_v into_o soft_a earth_n 15_o or_o 17_o foot_n into_o sand_n or_o earth_n which_o be_v loose_a 22_o or_o 24_o foot_n and_o in_o firm_a ground_n about_z 10_o or_o 12_o foot_n etc._n etc._n it_o have_v be_v see_v late_o in_o germany_n where_o there_o be_v make_v piece_n from_o 8_o foot_n long_o to_o 17_o foot_n of_o like_a boar_n that_o shoot_v out_o of_o any_o piece_n which_o be_v long_o than_o 12_o foot_n the_o force_n be_v diminish_v and_o the_o more_o in_o length_n the_o piece_n increase_v the_o less_o his_o force_n be_v therefore_o the_o length_n ought_v to_o be_v in_o a_o mean_a measure_n and_o it_o be_v often_o see_v the_o great_a the_o cannon_n be_v by_o so_o much_o the_o service_n be_v great_a but_o to_o have_v it_o too_o long_a or_o too_o short_a be_v not_o convenient_a but_o a_o mean_a proportion_n of_o length_n to_o be_v take_v otherwise_o the_o flame_n of_o the_o fire_n will_v be_v over-pressed_n with_o air_n whic_n hinder_v the_o motion_n in_o respect_n of_o substance_n and_o distance_n of_o get_v out_o problem_n lxxxiiii_o of_o predigious_a progression_n and_o multiplication_n of_o creature_n plant_n fruit_n number_n gold_n silver_n etc._n etc._n when_o they_o be_v always_o augment_v by_o certain_a proportion_n here_o we_o shall_v show_v thing_n no_o less_o admirable_a as_o recreative_a and_o yet_o so_o certain_a and_o easy_a to_o be_v demonstrate_v that_o there_o need_v not_o but_o multiplication_n only_o to_o try_v each_o particular_a and_o first_o of_o grain_n of_o mustardseed_n first_o therefore_o it_o be_v certain_a that_o the_o increase_n of_o one_o grain_n of_o mustardseed_n for_o 20_o year_n space_n can_v be_v contain_v within_o the_o visible_a world_n nay_o if_o it_o be_v a_o hundred_o time_n great_a than_o it_o be_v and_o hold_v nothing_o beside_o from_o the_o centre_n of_o the_o earth_n even_o unto_o the_o firmament_n but_o only_o small_a grain_n of_o mustardseed_n now_o because_o this_o seem_v but_o word_n it_o must_v be_v prove_v by_o art_n as_o may_v be_v do_v in_o this_o wise_a as_o suppose_v one_o mustardseed_n sow_v to_o bring_v forth_o a_o tree_n or_o branch_n in_o each_o extendure_n of_o which_o may_v be_v a_o thousand_o grain_n but_o we_o will_v suppose_v only_o a_o thousand_o in_o the_o whole_a tree_n and_o let_v we_o proceed_v to_o ●0_n year_n every_o seed_n to_o bring_v forth_o yearly_a a_o thousand_o grain_n now_o multiply_v always_o by_o a_o thousand_o in_o less_o than_o 17_o year_n you_o shall_v have_v to_o many_o grain_n which_o will_v surpass_v the_o sand_n which_o be_v able_a to_o fill_v the_o whole_a firmament_n for_o follow_v the_o supposition_n of_o archimedes_n and_o the_o most_o probable_a opinion_n of_o the_o greatness_n of_o the_o firmament_n which_o ●i●ho_n brahe_n have_v leave_v we_o the_o number_n of_o grain_n of_o sand_n will_v be_v sufficient_o express_v with_o 49_o cipher_n but_o the_o number_n of_o grain_n of_o mustardseed_n at_o the_o end_n of_o 17_o year_n will_v have_v 52_o cipher_n and_o moreover_o grain_n of_o mustardseed_n be_v far_o great_a than_o these_o of_o the_o sand_n it_o be_v therefore_o evident_a that_o at_o the_o seventeen_o year_n all_o the_o grain_n of_o mustardseed_n which_o shall_v successive_o spring_v from_o one_o grain_n only_o can_v be_v contain_v within_o the_o limit_n of_o the_o whole_a firmament_n what_o shall_v it_o be_v then_o if_o it_o shall_v be_v multiply_v again_o by_o a_o thousand_o for_o the_o ●8_o year_n and_o that_o again_o by_o a_o thousand_o for_o every_o year_n increase_v until_o you_o come_v to_o the_o 20_o year_n it_o be_v a_o thing_n as_o clear_a as_o the_o day_n that_o such_o a_o heap_n of_o mustardseed_n will_v be_v a_o hundred_o thousand_o time_n great_a than_o the_o earth_n and_o bring_v only_o but_o the_o increase_n of_o one_o grain_n in_o 20_o year_n of_o pig_n second_o be_v it_o not_o a_o strange_a proposition_n to_o say_v that_o the_o great_a turk_n with_o all_o his_o revenue_n be_v not_o able_a to_o maintain_v for_o one_o year_n time_n all_o the_o pig_n that_o a_o sow_n may_v pig_n with_o all_o her_o race_n that_o be_v the_o increase_n with_o the_o increase_n unto_o 12_o year_n this_o seem_v impossible_a yet_o it_o be_v most_o true_a for_o let_v we_o suppose_v and_o put_v the_o case_n that_o a_o sow_n bring_v forth_o but_o 6_o two_o male_n and_o 4_o female_n and_o that_o each_o female_n shall_v bring_v forth_o as_o many_o every_o year_n during_o the_o space_n of_o 12_o year_n at_o the_o end_n of_o the_o time_n there_o will_v be_v find_v above_o 3●_n million_o of_o pig_n now_o allow_v a_o crown_n for_o the_o maintenance_n of_o each_o pig_n for_o a_o year_n which_o be_v as_o little_a as_o may_v be_v be_v but_o near_o a_o half_a of_o a_o farthing_n allowance_n for_o each_o day_n there_o must_v be_v at_o the_o least_o so_o many_o crown_n to_o maintain_v they_o one_o a_o year_n viz._n 33_o million_o which_o exceed_v the_o turk_n revenue_n by_o much_o of_o grain_n of_o corne._n three_o it_o will_v make_v one_o astonish_v to_o think_v that_o a_o grain_n of_o corn_n with_o his_o increase_n successive_o for_o the_o space_n of_o 12_o year_n will_v produce_v in_o grain_n 24414062●000000000000_n which_o be_v able_a to_o load_v almost_o all_o the_o creature_n in_o the_o world_n to_o open_v which_o let_v it_o be_v suppose_v that_o the_o first_o year_n one_o grain_n be_v sow_v bring_v forth_o 50_o but_o sometime_o there_o be_v see_v 70_o sometime_o 100_o fold_n which_o grain_n sow_v the_o next_o year_n every_o one_o to_o produce_v 50_o and_o so_o consequent_o the_o whole_a and_o increase_v to_o be_v sow_v every_o year_n until_o 12_o year_n be_v expire_v there_o will_v be_v of_o increase_v the_o aforesaid_a prodigious_a sum_n of_o grain_n viz._n 244140625000000000000_o which_o will_v make_v a_o cubical_a heap_n of_o 6258522_o grain_n every_o way_n which_o be_v more_o than_o a_o cubicall_a body_n of_o 31_o mile_n every_o way_n for_o allow_v 40_o grain_n in_o length_n to_o each_o foot_n the_o cube_n will_v be_v 156463_o foot_n every_o way_n from_o which_o it_o be_v evident_a that_o if_o there_o be_v two_o hundred_o thousand_o city_n as_o great_a as_o london_n allow_v to_o each_o 3_o mile_n square_v every_o way_n and_o 100_o foot_n in_o height_n there_o will_v not_o be_v sufficient_a room_n to_o contain_v the_o aforesaid_a quantity_n of_o corn_n and_o suppose_v a_o bushel_n of_o corn_n be_v equal_a unto_o two_o cubic_n foot_n which_o may_v contain_v twenty_o hundred_o thousand_o grain_n then_o will_v there_o be_v 122070462500000._o bushel_n and_o allow_v 30_o bushel_n to_o a_o tun_n it_o will_v be_v able_a to_o load_v 81380●0833_n vessel_n which_o be_v more_o than_o eight_o thousand_o one_o hundred_o and_o thirty_o eight_o million_o ship_n loading_n of_o ●00_o tun_n to_o each_o ship_n a_o quantity_n so_o great_a that_o the_o sea_n be_v scarce_o able_a to_o bear_v or_o the_o universal_a world_n able_a to_o find_v vessel_n to_o carry_v it_o and_o if_o this_o corn_n shall_v be_v value_v at_o half_a a_o crown_n the_o bushel_n it_o will_v amount_v

unto_o 15258807812500_o pound_n sterling_a which_o i_o think_v exceed_v all_o the_o treasure_n of_o all_o the_o prince_n and_o of_o other_o particular_a man_n in_o the_o whole_a world_n and_o be_v not_o this_o good_a husbandry_n to_o sow_v one_o grain_n of_o corn_n and_o to_o continue_v it_o in_o sow_v the_o increase_n only_o for_o 12_o year_n to_o have_v so_o great_a a_o profit_n of_o the_o increase_n of_o sheep_n fourthly_o those_o that_o have_v great_a flock_n of_o sheep_n may_v be_v quick_o rich_a if_o they_o will_v preserve_v their_o sheep_n without_o kill_v or_o sell_v of_o they_o so_o that_o every_o sheep_n produce_v one_o each_o year_n for_o at_o the_o end_n of_o 16_o year_n 100_o sheep_n will_v multiply_v and_o increase_v unto_o 6553600_o which_o be_v above_o 6_o million_o 5_o hundred_o 53_o thousand_o sheep_n now_o suppose_v they_o worth_a but_o a_o crown_n a_o piece_n it_o will_v amount_v unto_o 1638400_o pound_n sterling_a which_o be_v above_o 1_o million_o 6_o hundred_o 38_o thousand_o pound_n a_o fair_a increase_n of_o one_o sheep_n and_o a_o large_a portion_n for_o a_o child_n if_o it_o shall_v be_v allot_v of_o the_o increase_n of_o codfish_n carp_n etc._n etc._n five_o if_o there_o be_v any_o creature_n in_o the_o world_n that_o do_v abound_v with_o increase_n or_o fertility_n it_o may_v be_v right_o attribute_v to_o fish_n for_o they_o in_o their_o kind_n produce_v such_o a_o great_a multitude_n of_o egg_n and_o bring_v forth_o so_o many_o little_a one_o that_o if_o a_o great_a part_n be_v not_o destroy_v continual_o within_o a_o ●ittle_a while_o they_o will_v fill_v all_o the_o sea_n pond_n and_o river_n in_o the_o world_n and_o it_o be_v easy_a to_o show_v how_o it_o will_v come_v so_o to_o pass_v only_o by_o suppose_v they_o to_o increase_v without_o take_v or_o destroy_v they_o for_o the_o space_n of_o 10_o or_o 12_o year_n have_v regard_n to_o the_o solidity_n of_o the_o water_n which_o be_v allot_v for_o to_o lodge_v and_o contain_v these_o creature_n as_o their_o bound_n and_o place_n of_o rest_n to_o live_v in_o of_o the_o increase_n and_o multiplication_n of_o man_n six_o there_o be_v some_o that_o can_v conceive_v how_o it_o can_v be_v that_o from_o eight_o person_n which_o be_v save_v after_o the_o deluge_n or_o noah_n flood_n shall_v spring_v such_o a_o world_n of_o people_n to_o begin_v a_o monarchy_n under_o nimrod_n be_v but_o 200_o year_n after_o the_o flood_n and_o that_o among_o they_o shall_v be_v raise_v a_o army_n of_o two_o hundred_o thousand_o fight_a man_n but_o it_o be_v easy_o prove_v if_o we_o take_v but_o one_o of_o the_o child_n of_o noah_n and_o suppose_v that_o a_o new_a generation_n of_o people_n begin_v at_o every_o 30_o year_n and_o that_o it_o be_v continue_v to_o the_o seven_o generation_n which_o be_v 200_o year_n for_o then_o of_o one_o only_a family_n there_o will_v be_v produce_v one_o hundred_o and_o eleven_o thousand_o soul_n three_o hundred_o and_o five_o to_o begin_v the_o world_n though_o in_o that_o time_n man_n live_v long_o and_o be_v more_o capable_a of_o multiplication_n and_o increase_n which_o number_n spring_v only_o from_o a_o simple_a production_n of_o one_o yearly_a will_v be_v far_o great_a if_o one_o man_n shall_v have_v many_o wife_n which_o in_o ancient_a time_n they_o have_v from_o which_o it_o be_v also_o that_o the_o child_n of_o israel_n who_o come_v into_o egypt_n but_o only_o 70_o soul_n yet_o after_o 210_o year_n captivity_n they_o come_v forth_o with_o their_o host_n that_o there_o be_v tell_v six_o hundred_o thousand_o fight_a man_n beside_o old_a people_n woman_n and_o child_n and_o he_o that_o shall_v separate_v but_o one_o of_o the_o family_n of_o joseph_n it_o will_v be_v sufficient_a to_o make_v up_o that_o number_n how_o much_o more_o shall_v it_o be_v then_o if_o we_o shall_v adjoyne_v many_o family_n together_o of_o the_o increase_n of_o number_n seventhly_o what_o sum_n of_o money_n shall_v the_o city_n of_o london_n be_v worth_a if_o it_o shall_v be_v sell_v and_o the_o money_n be_v pay_v in_o a_o year_n after_o this_o manner_n the_o first_o week_n to_o pay_v a_o pin_n the_o second_o week_n 2_o pin_n the_o three_o week_n 4_o pin_n the_o four_o week_n 8_o pin_n the_o five_o week_n 16_o pin_n and_o so_o double_v until_o the_o 52_o week_n or_o the_o year_n be_v expire_v here_o one_o will_v think_v that_o the_o value_n of_o the_o pin_n will_v amount_v but_o to_o a_o small_a matter_n in_o comparison_n of_o the_o treasure_n or_o riches_n of_o the_o whole_a city_n yet_o it_o be_v most_o probable_a that_o the_o number_n of_o pin_n will_v amount_v unto_o the_o sum_n of_o 4519599628681215_o and_o if_o we_o shall_v allow_v unto_o a_o quarter_n a_o hundred_o thousand_o pin_n the_o whole_a will_v contain_v ninety_o eight_o million_o four_o hundred_o thousand_o tun_n which_o be_v able_a to_o load_v 45930_o ship_n of_o a_o thousand_o tun_n apiece_o and_o if_o we_o shall_v allow_v a_o thousand_o pin_n for_o a_o penny_n the_o sum_n of_o money_n will_v amount_v unto_o above_o eighteen_o thousand_o eight_o hundred_o and_o thirty_o million_o of_o pound_n sterling_a a_o high_a price_n to_o sell_v a_o city_n at_o yet_o certain_a according_a to_o that_o first_o propose_v so_o if_o 40_o town_n be_v sell_v upon_o condition_n to_o give_v for_o the_o first_o a_o penny_n for_o the_o second_o 2_o penny_n for_o the_o three_o 4_o penny_n etc._n etc._n by_o double_v all_o the_o rest_n unto_o the_o last_o it_o will_v amount_v unto_o this_o number_n of_o penny_n 109951●62●●76_n which_o in_o pound_n be_v 4581298444_o that_o be_v four_o thousand_o five_o hundred_o and_o fourscore_o million_o of_o pound_n and_o more_o of_o a_o man_n that_o gather_v up_o apple_n stone_n or_o such_o like_a upon_o a_o condition_n eightly_o admit_v there_o be_v a_o hundred_o apple_n stone_n or_o such_o like_a thing_n that_o be_v place_v in_o a_o straight_a line_n or_o right_a form_n a_o pace_n one_o from_o another_o and_o a_o basket_n be_v place_v a_o pace_n from_o the_o first_o how_o many_o pace_n will_v there_o be_v make_v to_o put_v all_o these_o stone_n into_o the_o basket_n by_o fetch_v one_o by_o one_o this_o will_v require_v near_o half_a a_o day_n to_o do_v it_o for_o there_o will_v be_v make_v ten_o thousand_o and_o ninety_o two_o pace_n before_o he_o shall_v gather_v they_o all_o up_o of_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 or_o such_o like_a nineth_o be_v it_o not_o a_o admirable_a thing_n to_o consider_v how_o the_o skill_n of_o number_n do_v easy_o furnish_v we_o with_o the_o knowledge_n of_o mysterious_a and_o hide_a thing_n which_o simple_o look_v into_o by_o other_o that_o be_v not_o verse_v in_o arithmetic_n do_v present_a unto_o they_o a_o world_n of_o confusion_n and_o difficulty_n as_o in_o the_o first_o place_n it_o be_v often_o debate_v among_o our_o common_a ringer_n what_o number_n of_o change_n there_o may_v be_v make_v in_o 5_o 6_o 7_o 8_o or_o more_o bell_n who_o spend_v much_o time_n to_o answer_v their_o own_o doubt_n enter_v often_o into_o a_o labyrinth_n in_o the_o search_n thereof_o or_o if_o there_o be_v 10_o voice_n how_o many_o several_a note_n may_v there_o be_v these_o be_v proposition_n of_o such_o facility_n that_o a_o child_n which_o can_v but_o multiply_v one_o number_n by_o another_o may_v easy_o resolve_v it_o which_o be_v but_o only_o to_o multiply_v every_o number_n from_o the_o unite_v successive_o in_o each_o other_o product_v unto_o the_o term_n assign_v so_o the_o 6_o number_n that_o be_v against_o 6_o in_o the_o table_n be_v 720_o and_o so_o many_o hang_v may_v be_v make_v upon_o 6_o bell_n upon_o 5_o there_o be_v 120_o etc._n etc._n in_o like_a manner_n against_o 10_o in_o the_o table_n be_v 3618800_o that_o be_v three_o million_o six_o hundred_o twenty_o eight_o thousand_o eight_o hundred_o which_o show_v that_o 10_o voice_n may_v have_v so_o many_o consort_n each_o man_n keep_v his_o own_o note_n but_o only_o alter_v his_o place_n and_o so_o of_o string_a instrument_n and_o the_o gamat_fw-la may_v be_v vary_v according_a to_o which_o answerable_a to_o the_o number_n against_o x_o viz._n 1124001075070399680000_o note_n from_o which_o may_v be_v draw_v this_o or_o the_o like_a proposition_n suppose_v that_o 7_o scholar_n be_v take_v out_o of_o a_o free_a school_n to_o be_v send_v to_o a_o university_n there_o to_o be_v entertain_v in_o some_o college_n at_o commons_o for_o a_o certain_a sum_n of_o money_n so_o that_o each_o of_o they_o have_v two_o meal_n daily_o and_o no_o long_o to_o continue_v there_o then_o that_o sit_v all_o together_o upon_o one_o bench_n or_o form_n at_o every_o

circuit_n of_o the_o earth_n be_v 21600_o mile_n from_o the_o centre_n of_o the_o earth_n to_o the_o moon_n there_o be_v near_o 56_o semidiameter_n of_o the_o earth_n which_o be_v about_o 192416_o mile_n unto_o the_o sun_n there_o be_v 1142_o semidiameter_n of_o the_o earth_n that_o be_v in_o mile_n 3924912_o from_o the_o starry_a firmament_n to_o the_o centre_n of_o the_o earth_n there_o be_v 14000_o semidiameter_n that_o be_v 48184000_o mile_n according_a to_o the_o opinion_n and_o observation_n of_o that_o learned_a tycho_n brahe_n from_o these_o measure_n one_o may_v collect_v by_o arithmetical_a supputation_n many_o pleasant_a proposition_n in_o this_o manner_n first_o if_o you_o imagine_v there_o be_v a_o hole_n through_o the_o earth_n and_o that_o a_o millstone_n shall_v be_v let_v fall_v down_o into_o this_o hole_n and_o to_o move_v a_o mile_n in_o each_o minute_n of_o time_n it_o will_v be_v more_o than_o two_o day_n and_o a_o half_a before_o it_o will_v come_v to_o the_o centre_n and_o be_v there_o it_o will_v hang_v in_o the_o air_n second_o if_o a_o man_n shall_v go_v every_o day_n 20_o mile_n it_o will_v be_v three_o year_n want_v but_o a_o fortnight_n before_o he_o can_v go_v once_o about_o the_o earth_n and_o if_o a_o bird_n shall_v fly_v round_o about_o it_o in_o two_o day_n then_o must_v the_o motion_n be_v 450_o mile_n in_o a_o hour_n three_o the_o moon_n run_v a_o great_a compass_n each_o hour_n than_o if_o in_o the_o same_o time_n she_o shall_v run_v twice_o rhe_n circumference_n of_o the_o whole_a earth_n four_o admit_v it_o be_v suppose_v that_o one_o shall_v go_v 20_o mile_n in_o ascend_v towards_o the_o heaven_n every_o day_n he_o shall_v be_v above_o 15_o year_n before_o he_o can_v attain_v to_o the_o orb_n of_o the_o moon_n five_o the_o sun_n make_v a_o great_a way_n in_o one_o day_n than_o the_o moon_n do_v in_o 20_o day_n because_o that_o the_o orb_n of_o the_o sun_n circumference_n be_v at_o the_o least_o 20_o time_n great_a than_o the_o orb_n of_o the_o moon_n six_o if_o a_o millstone_n shall_v descend_v from_o the_o p●ace_n of_o the_o sun_n a_o thousand_o mile_n every_o hour_n which_o be_v above_o 15_o mile_n in_o a_o minute_n far_o beyond_o the_o proportion_n of_o motion_n it_o will_v be_v above_o 163_o day_n before_o it_o will_v fall_v down_o to_o the_o earth_n seven_o the_o sun_n in_o his_o proper_a sphere_n move_v more_o than_o seven_o thousand_o five_o hundred_o and_o seventy_o mile_n in_o one_o minute_n of_o time_n now_o there_o be_v no_o bullet_n of_o a_o cannon_n arrow_n thunderbolt_n or_o tempest_n of_o wind_n that_o move_v with_o such_o quickness_n eight_o it_o be_v of_o a_o far_o high_a nature_n to_o consider_v the_o exceed_a and_o unmoveable_a quickness_n of_o the_o starry_a firmament_n for_o a_o star_n be_v in_o the_o aequator_fw-la which_o be_v just_a between_o the_o pole_n of_o the_o world_n make_v 12598666_o mile_n in_o one_o hour_n which_o be_v two_o hundred_o nine_o thousand_o nine_o hundred_o and_o seventy_o four_o mile_n in_o one_o minute_n of_o time_n &_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 ride_v such_o a_o compass_n in_o a_o thousand_o year_n as_o the_o starry_a firmament_n move_v in_o one_o hour_n which_o be_v more_o than_o if_o one_o shall_v move_v about_o the_o earth_n a_o thousand_o time_n in_o one_o hour_n and_o quick_a than_o possible_a thought_n can_v be_v imagine_v and_o if_o a_o star_n shall_v fly_v in_o the_o air_n about_o the_o earth_n with_o such_o a_o prodigious_a quickness_n it_o will_v burn_v and_o consume_v all_o the_o world_n here_o below_o behold_v therefore_o how_o time_n pass_v and_o death_n haste_v on_o this_o make_v copernicus_n not_o unadvised_o to_o attribute_v this_o motion_n of_o primum_fw-la mobile_a to_o the_o earth_n and_o not_o to_o the_o starry_a firmament_n for_o it_o be_v beyond_o humane_a sense_n to_o apprehend_v or_o conceive_v the_o rapture_n and_o violence_n of_o that_o motion_n 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 let_v 123_o 24_o 25_o 26_o or_o 27_o be_v divide_v by_o 28_o which_o be_v the_o circle_n of_o the_o sun_n or_o whole_a revolution_n of_o the_o dominical_a letter_n and_o that_o which_o remain_v be_v the_o number_n of_o joint_n which_o be_v to_o be_v account_v upon_o the_o finger_n by_o filius_fw-la esto_fw-la dei_fw-la coelum_fw-la bone_fw-la accipe_fw-la gratis_o and_o where_o the_o number_n end_v that_o finger_n it_o show_v the_o year_n which_o be_v present_a and_o the_o word_n of_o the_o verse_n show_v the_o dominical_a letter_n example_n divide_v 123_o by_o 28_o for_o the_o year_n and_o so_o of_o other_o year_n and_o the_o quotient_n be_v 4_o and_o there_o remain_v 11_o for_o which_o you_o must_v account_v 11_o word_n filius_fw-la esto_fw-la dei_fw-la etc._n etc._n upon_o the_o joint_n begin_v from_o the_o first_o joint_n of_o the_o index_n and_o you_o shall_v have_v the_o answer_n for_o the_o present_a to_o know_v the_o dominical_a letter_n for_o each_o month_n account_n from_o january_n unto_o the_o month_n require_v include_v january_n and_o if_o there_o be_v 8_o 9_o 7_o or_o 5_o you_o must_v begin_v upon_o the_o end_n of_o the_o finger_n from_o the_o thumb_n and_o account_n adam_n degebat_fw-la etc._n etc._n as_o many_o word_n as_o there_o be_v month_n for_o then_o one_o shall_v have_v the_o letter_n which_o begin_v the_o month_n then_o to_o know_v what_o day_n of_o the_o month_n it_o be_v see_v how_o many_o time_n 7_o be_v comprehend_v in_o the_o number_n of_o day_n and_o take_v the_o rest_n suppose_v 4_o account_n upon_o the_o first_o finger_n within_o &_o without_o by_o the_o joint_n unto_o the_o number_n of_o 4_o which_o end_v at_o the_o end_n of_o the_o finger_n from_o whence_o it_o may_v be_v infer_v that_o the_o day_n require_v be_v wednesday_n sunday_n be_v attribute_v to_o the_o first_o joint_n of_o the_o first_o finger_n or_o index_n and_o so_o you_o have_v the_o present_a year_n the_o dominical_a letter_n the_o letter_n which_o begin_v the_o month_n and_o all_o the_o day_n of_o the_o month_n problem_n xciii_o to_o find_v the_o new_a and_o full_a moon_n in_o each_o month_n add_v to_o t●e_v epact_n for_o the_o year_n the_o month_n from_o march_n then_o subtract_v that_o surplus_n from_o 30_o and_o the_o rest_n be_v the_o day_n of_o the_o month_n that_o it_o will_v be_v new_a moon_n and_o add_v unto_o it_o 14_o you_o shall_v have_v that_o full_a moon_n note_v that_o the_o epact_n be_v make_v always_o by_o add_v 11_o unto_o 30_o and_o if_o it_o pass_v 30_o subtract_v 30_o and_o add_v 11_o to_o the_o remainder_n and_o so_o ad_fw-la infinitum_fw-la as_o if_o the_o epact_n be_v 12_o add_v 11_o to_o it_o make_v 23_o for_o the_o epact_n next_o year_n to_o which_o add_v 11_o make_v 34_o subtract_v 30_o rest_v 4_o the_o epact_n for_o the_o year_n after_o and_o 15_o for_o the_o year_n follow_a that_n and_o 26_o for_o the_o next_o and_o 7_o for_o the_o next_o etc._n etc._n problem_n xciv_o to_o find_v the_o latitude_n of_o ●_o 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

a_o pit_n continual_o to_o ascend_v without_o strength_n or_o the_o assistance_n of_o any_o other_o pump_n let_v il_fw-fr be_v the_o pit_n where_o one_o will_v cause_v water_n to_o ascend_v continual_o to_o ●●ach_v office_n of_o a_o house_n or_o the_o place_n which_o be_v separate_v from_o it_o let_v there_o be_v make_v a_o receive●_n as_o a_o well_o close_v up_o with_o lead_n or_o other_o matter_n that_o air_n enter_v not_o in_o to_o which_o fasten_v a_o pipe_n of_o lead_v as_o at_o e_o which_o may_v have_v vent_n at_o pleasure_n then_o let_v there_o be_v make_v a_o cistern_n as_o b_o which_o may_v be_v communicative_a to_o a_o by_o help_n of_o the_o pipe_n g_o from_o which_o cistern_n b_o may_v issue_v the_o water_n of_o pipe_n d_o which_o may_v descend_v to_o h_n which_o be_v a_o little_a below_o the_o level_n of_o the_o water_n of_o the_o pit_n as_o much_o as_o be_v gh_a to_o the_o end_n of_o which_o shall_v be_v solder_v close_o a_o cock_n which_o shall_v cast_v out_o the_o water_n by_o kh_n now_o to_o make_v use_n of_o it_o let_v b_o be_v fill_v full_a of_o water_n and_o when_o you_o will_v have_v it_o run_v turn_v the_o cock_n for_o then_o the_o water_n in_o b_o will_v descend_v by_o k._n and_o for_o fear_v that_o there_o shall_v be_v vacuity_n nature_n which_o abhor_v it_o will_v labour_v to_o furnish_v and_o supply_v that_o emptiness_n out_o of_o the_o spring_n f_o and_o that_o the_o pit_n dry_v not_o the_o pipe_n ought_v to_o be_v small_a of_o a_o indifferent_a capacity_n according_a to_o the_o greatness_n or_o smallness_n of_o the_o spring_n problem_n cxiiii_o how_o out_o of_o a_o fountain_n to_o cast_v the_o water_n very_o high_a different_a from_o a_o problem_n former_o deliver_v let_v the_o fountain_n be_v bd_o of_o a_o round_a form_n see_v it_o be_v the_o most_o capable_a and_o most_o perfect_a figure_n place_n into_o it_o two_o pipe_n conjoin_v as_o ea_fw-la and_o hc_n so_o that_o no_o air_n may_v enter_v in_o at_o the_o place_n of_o join_v let_v each_o of_o the_o pipe_n have_v a_o cock_n g_o &_o l_o the_o cock_n at_o g_o be_v close_v open_z that_o at_o ay_o &_o so_o with_o a_o squirt_n force_v the_o water_n through_o the_o hole_n at_o h_n then_o close_a the_o cock_n at_o a_o &_o draw_v out_o the_o squirt_n and_o open_v the_o cock_n at_o g._n the_o air_n be_v before_o rarify_v will_v extend_v his_o dimension_n and_o force_v the_o water_n with_o such_o violence_n that_o it_o will_v amount_v above_o the_o height_n of_o one_o or_o two_o pipe_n and_o so_o much_o the_o more_o by_o how_o much_o the_o machine_n be_v great_a this_o violence_n will_v last_v but_o a_o little_a while_n if_o the_o pipe_n have_v too_o great_a a_o open_n for_o as_o the_o air_n approach_v to_o his_o natural_a place_n so_o the_o force_n will_v diminish_v problem_n cxv_o how_o to_o empty_v the_o water_n of_o a_o cistern_n by_o a_o pipe_n which_o shall_v have_v a_o motion_n of_o itself_o let_v ab_fw-la be_v the_o vessel_n cde_v the_o pipe_n hg_v a_o little_a vessel_n under_o the_o great_a in_o which_o one_o end_n of_o the_o pipe_n be_v viz._n c_o and_o let_v the_o other_o end_n of_o the_o pipe_n e._n pass_v through_o the_o bottom_n of_o the_o vessel_n at_o f_o then_o as_o the_o vessel_n fill_v so_o will_v the_o pipe_n and_o when_o the_o vessel_n shall_v be_v full_a as_o far_o as_o po_n the_o pipe_n will_v begin_v to_o run_v at_o e_o of_o his_o own_o accord_n and_o never_o cease_v until_o the_o vessel_n be_v whole_o empty_a problem_n cxvi_o how_o to_o squirt_n or_o spout_v out_o a_o great_a height_n so_o that_o one_o pot_n of_o water_n shall_v last_v a_o long_a time_n let_v there_o be_v prepare_v two_o vessel_n of_o brass_n lead_v or_o of_o other_o matter_n of_o equal_a substance_n as_o be_v the_o two_o vessel_n ab_fw-la and_o bd_o &_o let_v they_o be_v join_v together_o by_o the_o two_o pillar_n mn_v &_o of_o then_o let_v there_o be_v a_o pipe_n hg_v which_o may_v pass_v through_o the_o cover_n of_o the_o vessel_n cd_o and_o pass_v through_o ab_fw-la into_o g_o make_v a_o little_a bunch_n or_o rise_n in_o the_o cover_n of_o the_o vessel_n ab_fw-la so_o that_o the_o pipe_n touch_v it_o not_o at_o the_o bottom_n then_o let_v there_o be_v solder_v fast_o another_o pipe_n il_fw-fr which_o may_v be_v separate_v from_o the_o bottom_n of_o the_o vessel_n and_o may_v have_v his_o bunchie_a swell_n as_o the_o former_a without_o touch_v the_o bottom_n as_o be_v represent_v in_o l_o and_o pass_v through_o the_o bottom_n of_o ab_fw-la may_v be_v continue_v unto_o ay_o that_o be_v to_o say_v to_o make_v a_o open_n to_o the_o cover_n of_o the_o vessel_n ab_fw-la &_o let_v it_o have_v a_o little_a mouth_n as_o a_o trumpet_n to_o that_o end_n to_o receive_v the_o water_n then_o there_o must_v further_o be_v add_v a_o very_a small_a pipe_n which_o may_v pass_v through_o the_o bottom_n of_o the_o vessel_n ab_fw-la as_o let_v it_o be_v open_a and_o let_v there_o be_v a_o bunch_n or_o swell_v over_o it_o as_o at_o p_o so_o that_o it_o touch_v not_o also_o the_o bottom_n let_v there_o be_v further_o make_v to_o this_o lesser_a vessel_n a_o edge_n in_o form_n of_o a_o basin_n to_o receive_v the_o water_n which_o be_v do_v pour_v water_n into_o the_o pipe_n il_fw-fr until_o the_o vessel_n cd_o be_v full_a then_o turn_v the_o whole_a machine_n upside_o down_o that_o the_o vessel_n cd_o may_v be_v uppermost_a and_o ab_fw-la undermost_a so_o by_o help_n of_o the_o pipe_n gh_o the_o water_n of_o the_o vessel_n cd_o will_v run_v into_o the_o vessel_n ab_fw-la to_o have_v passage_n by_o the_o pipe_n po._n this_o motion_n be_v pleasant_a at_o a_o feast_n in_o fill_v the_o say_a vessel_n with_o wine_n which_o will_v spout_v it_o out_o as_o though_o it_o be_v from_o a_o boil_a fountain_n in_o the_o form_n of_o a_o thread_n very_o pleasant_a to_o behold_v problem_n cxviii_o how_o to_o practice_v excellent_o the_o reanimation_n of_o simple_n in_o case_n the_o plant_n may_v not_o be_v transport_v to_o be_v replant_v by_o reason_n of_o distance_n of_o place_n take_v what_o simple_a you_o please_v burn_v it_o and_o take_v the_o ash_n of_o it_o and_o let_v it_o be_v calcinate_a two_o hour_n between_o two_o creuset_n well_o lute_v and_o extract_v the_o salt_n that_o be_v to_o put_v water_n into_o it_o in_o move_v of_o it_o then_o let_v it_o settle_v and_o do_v it_o two_o or_o three_o time_n afterward_o evaporate_v it_o that_o be_v let_v the_o water_n be_v boil_a in_o some_o vessel_n until_o it_o be_v all_o consume_v then_o there_o will_v remain_v a_o salt_n at_o the_o bottom_n which_o you_o shall_v afterward_o sow_v in_o good_a ground_n well_o prepare_v such_o as_o the_o theatre_n of_o husbandry_n show_v and_o you_o shall_v have_v your_o desire_n problem_n cviii_o how_o to_o make_v a_o infalliable_a perpetual_a motion_n myxe_n 5._o or_o 6._o ounce_n of_o ☿_o with_o be_v equal_a weight_n of_o ♃_o grind_v it_o together_o with_o 10._o or_o 12_o ounce_n of_o sublimate_n dissolve_v in_o a_o cellar_n upon_o a_o marble_n the_o space_n of_o four_o day_n and_o it_o will_v become_v like_o oil_n olive_n which_o distil_v with_o fire_n of_o chaff_n or_o drive_v fire_n and_o it_o will_v sublime_a dry_a substance_n than_o put_v water_n upon_o the_o earth_n in_o form_n of_o lie_n which_o will_v be_v at_o the_o bottom_n of_o the_o limbeck_n and_o dissolve_v that_o which_o you_o can_v filter_n it_o then_o distil_v it_o and_o there_o will_v be_v produce_v very_o subtle_a antome_n which_o put_v into_o a_o bottle_n close_o stop_v and_o keep_v it_o dry_a and_o you_o shall_v have_v your_o desire_n with_o astonishment_n to_o all_o the_o world_n and_o especial_o to_o those_o which_o have_v travel_v herein_o without_o fruit_n problem_n cxix_o of_o the_o admirable_a invention_n of_o make_v the_o philosopher_n tree_n which_o one_o may_v see_v with_o his_o eye_n to_o grow_v by_o little_a and_o little_a take_v two_o ounce_n of_o aqua_fw-la fortis_fw-la and_o dissolve_v in_o it_o half_a a_o ounce_n of_o fine_a silver_n refine_v in_o a_o cappell_n then_o take_v a_o ounce_n of_o aqua_fw-la fortis_fw-la and_o two_o dram_n of_o quicksilver_n which_o put_v in_o it_o and_o mix_v these_o two_o dissolve_a thing_n together_o then_o cast_v it_o into_o a_o vial_n of_o half_a a_o pound_n of_o water_n which_o may_v be_v well_o stop_v for_o then_o every_o day_n you_o may_v see_v it_o grow_v both_o in_o the_o tree_n and_o in_o the_o branch_n this_o liquid_a serve_v to_o black_a hair_n which_o be_v red_a or_o white_a without_o fade_v until_o they_o fall_v but_o here_o be_v to_o be_v note_v that_o great_a care_n ought_v to_o be_v

of_o rocket_n in_o each_o of_o which_o you_o may_v place_v 6_o 9_o ●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 box_n of_o rocket_n at_o k._n and_o may_v fire_v all_o the_o rest_n one_o after_o another_o which_o box_n may_v be_v all_o charge_v with_o several_a fireworks_a for_o the_o rocket_n of_o the_o first_o box_n may_v be_v load_v with_o serpent_n the_o second_o with_o star_n the_o three_o with_o report_n the_o four_o with_o golden_a rain_n and_o the_o five_o with_o small_a fly_a serpent_n these_o mount_a one_o after_o another_o and_o fly_v to_o and_o fro_o will_v much_o enlighten_v the_o air_n in_o their_o ascend_n but_o when_o these_o rocket_n discharge_v themselves_o above_o then_o will_v there_o be_v a_o most_o pleasant_a representation_n for_o these_o fire_n will_v dilate_v themselves_o in_o divers_a beautiful_a form_n some_o like_o the_o branch_a of_o tree_n other_o like_o fountain_n of_o water_n glide_v in_o the_o air_n other_o like_o flash_n of_o lightning_n other_o like_o the_o glitter_a of_o star_n give_v great_a contentment_n and_o delight_n to_o those_o which_o behold_v they_o but_o if_o the_o work_n be_v furnish_v also_o with_o balon_n which_o be_v the_o chief_a in_o recreative_a firework_n then_o shall_v you_o see_v ascend_v in_o the_o air_n but_o as_o it_o be_v only_o a_o quill_n of_o fire_n but_o once_o the_o balloon_n take_v fire_n the_o air_n will_v seem_v more_o than_o 100_o foot_n square_a full_a of_o crawl_v and_o fly_a serpent_n which_o will_v extinguish_v with_o a_o volley_n of_o more_o than_o 500_o report_n and_o so_o fill_v the_o air_n and_o firmament_n with_o their_o rebound_a clamour_n the_o make_n of_o which_o with_o many_o other_o rare_a and_o excellent_a firework_n and_o other_o practice_n not_o only_o for_o recreation_n but_o also_o for_o service_n you_o may_v find_v in_o a_o book_n entitle_v artificial_a firework_n make_v by_o mr._n malthas_n a_o master_n of_o his_o knowledge_n and_o be_v to_o be_v sell_v by_o william_n leake_n at_o the_o crown_n in_o fleetstreet_n between_o the_o two_o temple-gate_n conclusion_n in_o this_o book_n we_o have_v nothing_o omit_v what_o be_v material_a in_o the_o original_n but_o have_v abundant_o augment_v it_o in_o sundry_a experiment_n and_o though_o the_o examination_n be_v not_o so_o full_a and_o manifold_a yet_o by_o way_n of_o brevity_n we_o have_v express_v full_o their_o substance_n to_o avoid_v prolixity_n and_o so_o pass_v by_o thing_n reiterated_a finis_fw-la print_v or_o sell_v by_o william_n leak_n at_o the_o crown_n in_o fleetstreet_n near_o the_o temple_n these_o book_n follow_v york_n heraldry_n folio_n a_o bible_n of_o a_o very_a fair_a large_a roman_a letter_n 4●_n orlando_n f●rios●_n folio_n callu_n learned_a readins_n on_o the_o scat._n 21._o hen._n 80._o cap_n 5_o of_o sewer●_n perkins_n on_o the_o law_n of_o england_n wi●kinsons_n office_n of_o sheriff_n vade_fw-la mecum_fw-la of_o a_o justice_n of_o peace_n the_o book_n of_o fe_n peason_n law_n mirror_n of_o justice_n topic_n in_o the_o law_n of_o england_n sken_fw-mi de_fw-fr significatione_n verborum_fw-la delaman_n use_n of_o the_o horizontal_n quadrant_n wilby_n second_o set_v of_o music_n 345_o and_o 6_o part_n corderius_n in_o english_a d●ctor_n fulk_n meteor_n malthus_n firework_n nyes_z gunnery_n &_o firework_n c●to_o ma●or_a with_o annotation_n by_o wil._n austin_n esquire_n mel_n helliconium_fw-la by_o alex._n ross●_n nosce_fw-la teipsum_fw-la by_o sir_n john_n davis_n animadversion_n on_o lily_n grammar_n the_o history_n of_o vienna_n &_o paris_n lazarillo_n de_fw-fr tormes_n hero_z and_o l●ander_n by_o g._n chapman_n and_o christoph._n marlowe_n al●ilia_n or_o philotas_n love_v folly_n bishop_n andrews_n sermon_n adam_n on_o ●eter_n pose_v of_o the_o accidence_n am●dis_n de_fw-fr gaul_n guillieliam_n heraldry_n herbert_n travel_n bacc●s_n tale_n man_n become_v guilty_a by_o john_n francis_n sen●●t_n and_o english_v by_o henry_n earl_n of_o monmouth_n the_o idiot_n in_o 4_o book_n the_o first_o and_o second_o of_o wisdom_n the_o three_o of_o the_o mind_n the_o four_o of_o s●●tick_a experiment_n of_o the_o balance_n the_o life_n and_o reign_n of_o hen._n the_o eight_o write_v by_o the_o l._n herbet_n cornwallis_n essay_n &_o paradox_n clenards_n greek_n grammar_n 80_o a●laluci●_n or_o the_o house_n of_o light_n a_o discourse_n write_v in_o the_o year_n 1651_o by_o sn_a a_o modern_a speculator_n a_o tragedy_n write_v by_o the_o most_o learned_a hugo_n grotius_n call_v christus_fw-la patience_n and_o translate_v into_o engl._n by_o george_n sand_n the_o mount_n of_o olive_n or_o solitary_a devotion_n by_o henry_n vaughan_n silurist_n with_o a_o excellent_a discourse_n of_o man_n in_o glory_n write_v by_o the_o reverend_a anselm_n arch_a bishop_n of_o canterbury_n the_o fort_n royal_a of_o holy_a scripture_n by_o i._o h._n play_v hen._n the_o four_o philaster_n the_o wedding_n the_o hollander_n maid_n tragedy_n king_n &_o no_o k._n the_o grateful_a servant_n the_o strange_a discovery_n othello_n the_o moor_n of_o venice_n the_o merchant_n of_o venice_n the_o description_n and_o use_v of_o the_o double_a horizontall_a dial_n whereby_o not_o only_a the_o hour_n of_o the_o day_n be_v show_v but_o also_o the_o meridian_n line_n be_v find_v and_o most_o astronomical_a question_n which_o may_v be_v do_v by_o the_o globe_n be_v resolve_v invent_v and_o write_v by_o w._n o._n whereunto_o be_v add_v the_o description_n of_o the_o general_a horologicall_a ring_n london_n print_v for_o william_n leake_n and_o be_v to_o be_v sell_v at_o his_o shop_n at_o the_o sign_n of_o the_o crown_n in_o fleetstreet_n between_o the_o two_o temple_n gate_n 1652._o the_o description_n and_o use_v of_o the_o double_a horizontall_a dial_n there_o be_v upon_o the_o plate_n two_o several_a dial_n that_o which_o be_v outermost_a be_v a_o ordinary_a dial_n divide_v into_o hour_n and_o quarter_n and_o every_o quarter_n into_o three_o part_n which_o be_v five_o minute_n a_o piece_n so_o that_o the_o whole_a hour_n be_v understand_v to_o contain_v 60_o minute_n and_o for_o this_o dial_n the_o shadow_n of_o the_o upper_a oblique_a or_o slant_v edge_n of_o the_o style_n or_o cock_n do_v serve_v the_o other_o dial_n which_o be_v within_o be_v the_o projection_n of_o the_o upper_a hemisphere_n upon_o the_o plain_a of_o the_o horizon_n the_o horizon_n itself_o be_v understand_v to_o be_v the_o innermost_a circle_n of_o the_o limb_n and_o be_v divide_v on_o both_o side_n from_o the_o point_n of_o east_n and_o west_n into_o degree_n note_v with_o 10.20.30_o etc._n etc._n as_o far_o as_o need_n require_v and_o the_o centre_n of_o the_o instrument_n be_v the_o zenith_n or_o vertical_a point_n within_o the_o horizon_n the_o middle_n straight_a line_n point_v north_n and_o south_n upon_o which_o the_o style_n stand_v be_v the_o meridian_n or_o twelve_o a_o clock_n line_n and_o the_o other_o short_a arch_v line_n on_o both_o side_n of_o it_o be_v the_o hour_n line_n distinguish_v according_o by_o their_o figure_n and_o be_v divide_v into_o quarter_n by_o the_o small_a line_n draw_v between_o they_o every_o quarter_n contain_v 15_o minute_n the_o two_o arch_n which_o across_o the_o hour_n line_n meet_v on_o both_o side_n in_o the_o point_n of_o intersection_n of_o the_o six_o a_o clock_n line_n with_o the_o horizon_n be_v the_o two_o semicircle_n of_o the_o ecliptic_a or_o annual_a circle_n of_o the_o sun_n the_o upper_a of_o which_o arch_n serve_v for_o the_o summer_n half_a year_n and_o the_o low_a for_o the_o winter_n half_a year_n and_o therefore_o divide_v into_o 365_o day_n which_o be_v also_o distinguish_v into_o twelve_o month_n with_o long_a line_n have_v their_o name_n set_v down_o and_o into_o ten_o and_o fift_v with_o short_a line_n and_o the_o rest_n of_o the_o day_n with_o prick_n as_o may_v plain_o be_v see_v in_o the_o dial_n and_o this_o be_v for_o the_o ready_a find_v out_o of_o the_o place_n of_o the_o sun_n