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Word A Word B Word C Word D Occurrence Frequency Band MI MI Band Prominent
day_n hour_n minute_n september_n 3,919 5 13.1529 5 false
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ID Title Author Corrected Date of Publication (TCP Date of Publication) STC Words Pages
A77649 The description and use of the carpenters-rule: together with the use of the line of numbers (inscribed thereon) in arithmetick and geometry. And the application thereof to the measuring of superficies and solids, gaging of vessels, military orders, interest and annuities: with tables of reduction, &c. : To which is added, the use of a (portable) geometrical sun-dial, with a nocturnal on the backside, for the exact and ready finding the hour of the day and night: and other mathematical conclusions. Also of a universal-dial for the use of seamen or others. With the use of a sliding or glasiers-rule and Mr. White's rule for solid measure. / Collected and fitted to the meanest capacity by J. Browne. Brown, John, philomath.; Gaywood, Richard, fl. 1650-1680. 1667 (1667) Wing B5039D; ESTC R173095 73,644 256

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chap._n iii_o the_o description_n of_o a_o universal_a dial_n for_o all_o latitude_n from_o 0_o to_o 66._o 30_o of_o north_n or_o south_n latitude_n 1._o first_o the_o dial_n itself_o be_v a_o oblong_a make_v of_o box_n brass_n or_o silver_n or_o the_o like_a and_o at_o the_o short_a side_n it_o have_v two_o sight_n either_o of_o itself_o or_o fit_v into_o it_o parallel_n to_o one_o of_o the_o short_a side_n 2._o it_o have_v a_o bracheolum_n with_o a_o thread_n bede_n and_o plummet_n fasten_v to_o it_o that_o be_v 3_o piece_n of_o brass_n so_o fit_v together_o that_o be_v pin_v on_o the_o middle_n will_v reach_v to_o any_o of_o the_o line_n of_o latitude_n and_o it_o may_v be_v cut_v away_o after_o the_o work_n be_v on_o to_o a_o very_a comely_a form_n or_o leave_v square_n as_o shall_v best_o please_v the_o fancy_n 3._o three_o for_o the_o line_n on_o the_o dial_n consider_v first_o the_o centre_n on_o the_o 6_o of_o clock_z line_n where_o the_o tangent_n of_o latitude_n begin_v and_o pass_v on_o to_o 66.30_o be_v straight_o parallel_v line_n draw_v across_o the_o oblong_a to_o every_o single_a degree_n of_o latitude_n and_o you_o have_v they_o number_v with_o 10.20.30_o 40.50.60.65_o at_o both_o end_n of_o those_o line_n 4._o then_o you_o have_v from_o the_o centre_n aforesaid_a long_o straight_o slope_v line_n draw_v to_o every_o 5_o or_o 10_o degr._fw-la of_o the_o sign_n and_o on_o that_o end_n next_o the_o sight_n on_o the_o middle_a line_n you_o have_v ♈_o and_z 🝞_n from_o thence_o towards_o the_o left_a hand_n you_o have_v 10.20_o ♉_o and_o ♍_o and_o then_o onward_o the_o same_o way_n still_o 10.20_o ♊_o and_o ♌_o then_o 10.20_o ♋_o on_o the_o other_o side_n to_o the_o right_a hand_n you_o have_v 10.20_o ♓_o and_o ♍_o and_z 10._o 20._o ♒_o and_o ♐_o and_z 10.20_o ♑_o in_o all_o 12_o sign_n 5._o also_o adjoin_v to_o they_o you_o have_v a_o calendar_n of_o month_n and_o day_n that_o know_v the_o day_n of_o the_o month_n you_o have_v the_o sign_n answer_v thereto_o 6._o you_o have_v the_o same_o sign_n as_o be_v above_o portray_v on_o the_o right_a side_n and_z 5_o and_o 10_o part_n reciprocal_a to_o the_o former_a sign_n and_o part_n on_o the_o top_n 7._o you_o have_v the_o hour_n line_n parallel_n to_o the_o length_n of_o the_o oblong_a and_o number_v with_o 12._o 1.2.3.4.5.6.7.8.9.10.11.12_o on_o the_o upper_a end_n of_o they_o and_o with_o 12._o 11.10.9.8.7.6.5.4.3.2.1.12_o at_o the_o low_a end_n 8._o about_o the_o 2_o side_n opposite_a to_o the_o right_o upper_a corner_n you_o have_v degree_n of_o altitude_n and_o declination_n to_o find_v the_o latitude_n the_o use_n of_o which_o follow_v with_o as_o much_o brevity_n and_o plainness_n as_o may_v be_v prob._n 1._o to_o find_v the_o latitude_n have_v the_o sun_n declination_n and_o his_o meridian_n altitude_n to_o find_v the_o latitude_n when_o the_o sun_n be_v just_a on_o the_o meridian_n observe_v his_o altitude_n and_o set_v it_o down_o then_o find_v his_o declination_n for_o that_o day_n and_o consider_v whether_o it_o be_v north_n or_o south_n for_o if_o it_o be_v north_n declination_n you_o must_v subtract_v it_o from_o it_o if_o south_n you_o must_v add_v it_o to_o the_o meridian_n altitude_n find_v and_o the_o sum_n or_o remainder_n shall_v be_v the_o comment_n of_o the_o latitude_n seek_v for_o example_n i_o be_o on_o the_o first_o of_o august_n in_o a_o place_n where_o the_o noon_n altitude_n be_v 50_o the_o sun_n declination_n the_o same_o day_n be_v 15.18_o north_n which_o take_v out_o of_o 50._o there_o remain_v 34.40_o who_o compliment_n to_o 90_o be_v 55.18_o the_o latitude_n seek_v the_o degree_n
have_v the_o sign_n add_v to_o they_o so_o that_o when_o you_o have_v the_o sun_n place_n by_o the_o help_n of_o the_o calendar_n above_o look_v for_o the_o like_a sun_n place_n in_o the_o degree_n and_o just_a against_o it_o you_o have_v his_o declination_n and_o when_o you_o have_v the_o latitude_n by_o this_o or_o any_o other_o mean_n you_o may_v find_v the_o hour_n of_o the_o day_n in_o this_o manner_n prob._n 2._o to_o find_v the_o hour_n of_o the_o day_n have_v the_o day_n of_o the_o month_n by_o the_o help_n of_o the_o almanac_n as_o before_o find_v the_o same_o day_n in_o the_o calendar_n of_o month_n and_o day_n and_o right_a against_o it_o you_o have_v the_o sun_n place_n in_o the_o zodiac_n or_o 12_o sign_n then_o bring_v the_o end_n of_o the_o bracheolum_n to_o the_o same_o sign_n or_o part_n of_o the_o sign_n in_o your_o respective_a latitude_n and_o bring_v the_o bead_n on_o the_o string_n to_o the_o same_o sign_n and_o degree_n among_o the_o sign_n on_o the_o right_a side_n then_o be_v it_o rectify_v for_o observation_n then_o hold_v it_o up_o till_o you_o see_v the_o sunbeam_n pierce_v through_o both_o hole_n of_o the_o sight_n the_o thread_n play_v easy_o by_o the_o side_n the_o same_o time_n the_o bead_n will_v fall_v upon_o the_o hour_n of_o the_o day_n if_o it_o be_v the_o forenoon_n reckon_v among_o the_o forenoon_n hour_n but_o if_o it_o be_v afternoon_n among_o the_o afternoon_n hour_n for_o the_o same_o as_o be_v 9_o in_o the_o morning_n be_v 3_o in_o the_o afternoon_n and_o so_o of_o the_o rest_n on_o the_o 10_o of_o april_n in_o the_o latitude_n of_o 51.30_o at_o 8_o a_o clock_n i_o will_v find_v the_o hour_n of_o the_o day_n by_o this_o instrument_n first_o i_o look_v for_o the_o ten_o of_o april_n in_o the_o calendar_n and_o right_a against_o it_o i_o find_v ♉_o that_o be_v the_o sun_n be_v their_o enter_v ♉_o then_z i_o come_v down_o in_o that_o line_n till_o i_o come_v to_o the_o latitude_n of_o 51.30_o and_o there_o i_o set_v the_o hole_n in_o the_o end_n of_o the_o bracheolum_n where_o the_o thread_n be_v fasten_v then_o that_o be_v fix_v there_o i_o bring_v the_o bead_n on_o the_o string_n to_o the_o same_o sign_n ♉_o on_o the_o right_a hand_n and_o than_o it_o be_v rectify_v for_o that_o day_n and_o latitude_n then_o hold_v it_o up_o as_o before_o and_o you_o shall_v find_v the_o bead_n to_o fall_v on_o the_o line_n call_v 4_o and_o 8_o that_o be_v 8_o in_o the_o morning_n and_o 4_o in_o the_o afternoon_n as_o before_o say_v prob._n 3._o to_o find_v the_o time_n of_o the_o sunsrife_v or_o set_v rectify_v the_o iustrument_n as_o before_o and_o make_v the_o string_n lie_v parallel_n to_o the_o hour-line_n and_o the_o bead_n will_v show_v you_o the_o time_n of_o the_o sun_n rise_v reckon_v in_o the_o morning_n hour_n and_o his_o set_n reckon_v in_o the_o afternoon_n hour_n and_o by_o they_o you_o may_v have_v the_o length_n of_o the_o day_n and_o night_n for_o if_o you_o reckon_v backward_o to_o 10_o at_o night_n you_o have_v the_o length_n of_o the_o night_n the_o other_o way_n give_v you_o the_o length_n of_o the_o day_n be_v double_v example_n on_o the_o 10_o of_o april_n the_o index_n or_o bracheolum_n rectify_v and_o the_o bead_n set_v right_a and_o the_o string_n draw_v straight_o and_o parallel_a to_o the_o hour_n the_o bead_n fall_v on_o 5_o for_o the_o sun_n rise_v &_o 7_o for_o his_o set_n then_o from_o 7_o to_o 12_o at_o night_n be_v 5_o hour_n which_o double_v be_v 10_o hour_n the_o length_n of_o the_o night_n and_o from_o 5_o to_o 12_o at_o noon_n be_v 7_o which_o double_v be_v 14_o hour_n the_o length_n of_o the_o day_n chap._n iu._n the_o description_n and_o use_v of_o the_o nocturnal_a there_o be_v two_o place_n in_o the_o nocturnal_a or_o more_o common_o it_o be_v one_o plate_n of_o brass_n on_o the_o backside_n of_o another_o instrument_n for_o the_o one_o have_v onn_o 34_o hour_n and_o each_o hour_n be_v divide_v into_o quarter_n or_o more_o part_n as_o the_o largeness_n of_o the_o plate_n will_v admit_v this_o nocturnal_a have_v the_o hour_n divide_v into_o 12_o part_n that_o be_v into_z 5_o minute_n a_o piece_n and_o when_o the_o nocturnal_a be_v add_v to_o another_o instrument_n these_o hour_n and_o part_n be_v set_v on_o that_o and_o this_o one_o part_n of_o it_o the_o other_o part_n of_o it_o be_v a_o rundle_n or_o round_a plate_n of_o brass_n on_o which_o be_v describe_v first_o and_o next_o the_o edge_n 365_o division_n represent_v the_o day_n of_o the_o year_n every_o month_n have_v the_o name_n at_o the_o begin_n of_o it_o or_o the_o first_o letter_n of_o the_o name_n viz._n i._o f._n m._n a._n m._n i._o i._n a._n s.o.n.d._n and_o a_o long_a stroke_n at_o the_o last_o day_n than_o any_o of_o the_o rest_n and_o figure_n at_o the_o ten_o and_o twenty_o day_n for_o the_o more_o ready_a find_n of_o it_o next_o within_o you_o have_v the_o 360_o degree_n of_o a_o circle_n to_o find_v the_o right_a ascension_n of_o any_o star_n and_o number_v with_o 10._o 20.30.40.50_o to_o 360._o beginning_n at_o the_o ten_o of_o march_n and_o proceed_v onward_o as_o aforesaid_a 3._o then_o you_o have_v a_o scale_n of_o declination_n number_v both_o way_n from_o the_o equator_fw-la and_o pole_n viz._n 10._o and_o 80_o 20._o &_o 70_o 30._o &_o 60.40_o &_o 50.50_o &_o 40_o by_o which_o you_o may_v find_v the_o declination_n or_o distance_n from_o the_o pole_n of_o any_o star_n 4._o you_o have_v 5_o constellation_n of_o those_o star_n next_o the_o north-pole_n and_o the_o rest_n of_o the_o star_n of_o other_o constellation_n as_o come_v within_o that_o compass_n the_o name_n of_o which_o constellation_n be_v the_o great_a bear_n the_o little_a bear_n cephus_n cassiopeia_n and_o the_o dragon_n and_o part_n of_o perseus_n and_o auriga_fw-la 5._o you_o have_v a_o string_n lie_v across_o the_o diameter_n from_o 12_o to_o 12_o for_o a_o meridian_n the_o use_n follow_v in_o order_n but_o for_o their_o sake_n that_o may_v be_v willing_a to_o know_v more_o star_n than_o be_v here_o set_v down_o i_o have_v provide_v a_o large_a plate_n all_o the_o note_a star_n from_o the_o northpole_n to_o the_o aequinoctial_a who_o use_n be_v the_o same_o with_o this_o therefore_o i_o shall_v speak_v no_o more_o as_o to_o the_o use_n of_o that_o then_o this_o only_o there_o be_v more_o variety_n and_o it_o be_v a_o great_a help_n to_o the_o know_v of_o the_o star_n for_o which_o cause_n it_o way_n by_o i_o chief_o compose_v first_o then_o for_o the_o use_n the_o most_o hard_a and_o difficult_a thing_n be_v to_o know_v the_o star_n one_o from_o another_o the_o best_a mean_n to_o know_v which_o next_o to_o a_o tutor_n be_v to_o compare_v they_o you_o do_v know_v in_o the_o rundle_n with_o they_o in_o the_o heaven_n and_o then_o one_o with_o another_o as_o thus_o in_o a_o night_n when_o the_o star_n may_v be_v see_v and_o it_o be_v best_o for_o to_o learn_v when_o there_o be_v not_o so_o many_o star_n see_v as_o there_o be_v in_o some_o clear_a frosty_a night_n for_o then_o only_a those_o in_o the_o nocturnal_a will_v be_v see_v look_v towards_o the_o north_n part_n of_o the_o heaven_n and_o you_o shall_v see_v 7_o fair_a star_n stand_v as_o you_o see_v the_o 7_o in_o the_o great_a bear_n begin_v at_o the_o tail_n of_o the_o bear_n and_o the_o two_o last_o be_v bright_a star_n from_o which_o two_o if_o you_o conceive_v a_o line_n to_o be_v draw_v it_o will_v cut_v the_o polestar_n and_o when_o you_o find_v the_o polestar_n and_o they_o two_o they_o will_v help_v you_o to_o find_v all_o the_o rest_n with_o diligent_a observation_n another_o way_n to_o find_v the_o north-star_n be_v to_o hang_v a_o plummet_n on_o the_o centre_n and_o make_v it_o play_v on_o the_o degree_n of_o the_o latitude_n of_o the_o place_n and_o then_o lift_v it_o up_o towards_o the_o north_n part_n of_o the_o heaven_n till_o you_o see_v a_o bright_a star_n so_o bright_a as_o one_o of_o the_o 7_o in_o the_o great_a bear_n for_o that_o be_v the_o polestar_n note_v that_o it_o be_v not_o the_o very_a pole_n as_o you_o may_v see_v by_o the_o nocturnal_a but_o it_o be_v the_o near_a the_o pole_n this_o be_v know_v and_o the_o great_a bear_n which_o almost_o every_o countryman_n know_v by_o the_o name_n of_o charles-wane_n with_o help_n of_o the_o string_n lie_v across_o you_o may_v straightway_o look_v east_n or_o west_n north_n or_o south_n or_o between_o for_o any_o of_o the_o star_n set_v down_o in_o the_o nocturnal_a for_o the_o string_n you_o must_v conceive_v to_o lie_v north_n and_o south_n always_o by_o
the_o description_n and_o use_v of_o the_o carpenters-rule_a together_o with_o the_o use_n of_o the_o line_n of_o number_n inscribe_v thereon_o in_o arithmetic_n and_o geometry_n and_o the_o application_n thereof_o to_o the_o measure_v of_o superficies_n and_o solid_n gage_v of_o vessel_n military_a order_n interest_n and_o annuity_n with_o table_n of_o reduction_n etc._n etc._n to_o which_o be_v add_v the_o use_n of_o a_o portable_a geometrical_a sundial_n with_o a_o nocturnal_a on_o the_o backside_n for_o the_o exact_a and_o ready_a find_v the_o hour_n of_o the_o day_n and_o night_n and_o other_o mathematical_a conclusion_n also_o of_o a_o vniversal-dial_n for_o the_o use_v of_o seaman_n or_o other_o with_o the_o use_n of_o a_o slide_v or_o glasiers-rule_n and_o mr._n white_n be_v rule_n for_o solid_a measure_n collect_v and_o fit_v to_o the_o mean_a capacity_n by_o j._n browne_n london_n print_v by_o w._n g._n for_o william_n fisher_n at_o the_o postern-gate_n near_o tower-hill_n 1667_o to_o the_o reader_n courteous_a reader_n whosoever_o thou_o be_v i_o shall_v entreat_v thou_o to_o take_v in_o good_a part_n this_o collection_n of_o the_o ule_n of_o the_o line_n of_o number_n common_o call_v or_o best_o know_v to_o artificer_n by_o the_o name_n of_o canter_n line_n i_o write_v it_o not_o as_o a_o new_a thing_n but_o rather_o as_o a_o renovation_n of_o a_o old_a one_o and_o the_o great_a motive_n that_o provoke_v and_o stimed_a i_o up_o to_o it_o be_v this_o i_o make_v and_o sell_v rule_n with_o gunter_n line_n on_o they_o many_o a_o one_o will_v say_v to_o i_o how_o shall_v i_o come_v to_o know_v the_o use_n of_o this_o line_n i_o reply_v that_o in_o mr._n cunter_n book_n there_o the_o use_n be_v set_v forth_o but_o because_o of_o the_o obscurity_n of_o the_o instruction_n there_o as_o to_o the_o read_n of_o the_o line_n and_o also_o the_o dearness_n of_o the_o book_n many_o a_o one_o that_o will_v glad_o learn_v be_v deter_v from_o take_v pain_n therein_o lest_o they_o shall_v spend_v time_n and_o oil_n to_o no_o purpose_n and_o also_o for_o want_v of_o case_n fit_a to_o their_o purpose_n they_o be_v apt_a to_o think_v it_o as_o to_o no_o purpose_n therefore_o that_o i_o may_v be_v as_o a_o abcdarian_a to_o the_o instrumental_a way_n of_o work_v be_v the_o most_o proper_a for_o mechanic_n man_n such_o as_o carpenter_n joiner_n mason_n bricklayer_n and_o the_o like_a which_o for_o the_o most_o part_n be_v ignorant_a of_o arithmetic_n and_o that_o knowledge_n may_v be_v increase_v any_o way_n i_o think_v it_o convenient_a and_o make_v no_o doubt_n of_o a_o good_a benefit_n to_o accrue_v thereby_o to_o they_o who_o capacity_n and_o purse_n in_o these_o critical_a time_n can_v well_o reach_v to_o other_o more_o difficult_a and_o dear_a author_n i_o shall_v not_o much_o apologise_v for_o myself_o as_o to_o style_v or_o manner_n of_o write_v be_v like_o myself_o what_o it_o be_v i_o beseech_v you_o accept_v in_o as_o good_a part_n as_o it_o be_v offer_v i_o may_v have_v implore_v the_o aid_n of_o some_o more_o able_a pen_n but_o i_o think_v mechanic_n man_n best_a understand_v they_o of_o their_o own_o profession_n in_o this_o and_o other_o discourse_n because_o they_o be_v man_n of_o the_o same_o stature_n in_o knowledge_n and_o expression_n possible_o it_o may_v provoke_v some_o to_o a_o more_o accurate_a and_o universal_a treatise_n in_o the_o mean_a time_n take_v this_o as_o a_o harbinger_n till_o that_o come_v and_o be_v apt_a to_o think_v that_o ship-carpenter_n or_o seafaring_a man_n may_v light_v of_o it_o i_o have_v add_v in_o the_o conclusion_n as_o a_o appendix_n the_o use_v of_o a_o particular_a and_o universal_a sundial_n also_o of_o a_o nocturnal_a or_o star-dial_n by_o which_o the_o hour_n of_o the_o day_n and_o night_n may_v be_v have_v in_o all_o place_n of_o the_o north_n latitude_n from_o 1_o degree_n to_o 66.30_o where_o the_o day_n artificial_a be_v 24_o hour_n long_o in_o all_o which_o i_o have_v labour_v after_o brevity_n and_o plainness_n as_o much_o as_o may_v be_v and_o to_o the_o end_n you_o may_v learn_v to_o know_v the_o star_n i_o have_v be_v at_o the_o charge_n to_o print_v a_o paper_n with_o all_o the_o principal_a star_n in_o the_o northern_a hemisphere_n from_o the_o pole_n to_o the_o equinoctial_a so_o that_o you_o may_v take_v any_o in_o that_o compass_n and_o they_o that_o please_v may_v do_v the_o like_a for_o the_o south_n hemisphere_n so_o i_o wish_v you_o may_v reap_v much_o profit_n thereby_o and_o remain_v willing_a to_o serve_v you_o in_o what_o i_o may_v j._n b._n at_o the_o sphere_n and_o dial_n in_o the_o great_a minories_n lond._n 66._o the_o description_n and_o use_v of_o the_o carpenters-plain-rule_n as_o it_o be_v now_o make_v chap._n 1._o i_o think_v good_a to_o add_v this_o chapter_n for_o the_o sake_n of_o some_o possible_o young_a beginner_n and_o they_o that_o will_v not_o be_v ignorant_a altogether_o in_o the_o way_n of_o measure_v therewith_o though_o they_o may_v seldom_o have_v occasion_n of_o it_o and_o also_o know_v that_o they_o that_o have_v the_o most_o knowledge_n once_o have_v little_a enough_o and_o far_o i_o find_v by_o experience_n that_o many_o there_o be_v that_o can_v measure_v by_o the_o plain_a rule_n that_o can_v use_v the_o line_n of_o number_n and_o some_o also_o know_v not_o the_o use_n of_o the_o plain_a rule_n neither_o for_o these_o reason_n i_o have_v add_v this_o chapter_n of_o the_o description_n and_o use_n of_o the_o carpenters-plain-rule_a it_o be_v call_v a_o carpenter_n rule_n rather-then_a a_o joiner_n bricklayer_n mason_n glasier_n or_o the_o like_a i_o suppose_v because_o they_o find_v the_o most_o absolute_a necessity_n of_o it_o in_o their_o way_n for_o they_o have_v as_o much_o or_o more_o occasion_n to_o use_v it_o than_o most_o other_o trade_n though_o the_o same_o rule_n must_v measure_v all_o kind_n of_o superficies_n and_o solid_n which_o two_o measure_n measure_v every_o visible_a substance_n which_o be_v to_o be_v measure_v and_o it_o be_v usual_o make_v of_o box_n or_o holly_n 24_o inch_n in_o length_n and_o common_o a_o inch_n and_o half_a or_o a_o inch_n and_o quarter_n in_o breadth_n and_o of_o thickness_n at_o pleasure_n and_o on_o the_o one_o side_n it_o be_v divide_v into_o 24_o equal_a inch_n according_a to_o the_o standard_n at_o guildhall_n london_n and_o every_o one_o of_o those_o 24_o inch_n be_v divide_v into_o eight_o part_n that_o be_v half_n quarter_n and_o half-quarter_n and_o the_o half-inche_n be_v know_v from_o the_o quarter_n and_o quarter_n from_o the_o half-quarter_n by_o short_a longer_z and_o long_a stroke_n and_o at_o every_o whole_a inch_n be_v set_v figure_n proceed_v from_o 1_o to_o 24_o from_o the_o right_a hand_n towards_o the_o left_a and_o these_o part_n and_o figure_n be_v on_o both_o edge_n of_o one_o side_n of_o the_o rule_n both_o way_n number_v to_o the_o intent_n that_o howsoever_o you_o hold_v the_o rule_n you_o have_v the_o right_a end_n to_o measure_v from_o provide_v you_o have_v the_o right_a side_n on_o the_o other_o side_n you_o have_v the_o line_n of_o timber_n and_o board_n measure_n the_o timber-measure_n be_v that_o which_o begin_v at_o 8_o and_o a_o half_a that_o be_v when_o the_o figure_n of_o the_o timber-line_n stand_v upright_o to_o you_o than_o i_o say_v it_o begin_v at_o the_o left_a end_n at_o 8_o and_o ½_n and_o proceed_v to_o 36_o within_o a_o inch_n and_o ⅜_n of_o a_o inch_n of_o the_o end_n also_o of_o the_o beginning_n end_n of_o the_o line_n of_o timber-measure_n be_v a_o table_n of_o figure_n which_o contain_v the_o quantity_n of_o the_o under-measure_n from_o one_o inch_n square_a to_o eight_o inch_n square_a for_o the_o figure_n 9_o come_v upon_o the_o rule_n as_o you_o may_v see_v near_o to_o 8_o in_o the_o table_n on_o or_o next_o the_o other_o edge_n and_o same_o side_n you_o have_v the_o line_n of_o board-measure_n and_o when_o those_o figure_n stand_v upright_o you_o have_v 6_o at_o the_o left_a or_o begin_v end_n and_o 36_o at_o the_o other_o or_o right_o end_n just_a 4_o inch_n of_o the_o end_n unless_o it_o be_v divide_v up_o to_o 100_o than_o it_o be_v nigh_o a_o inch_n and_o half_a of_o the_o end_n this_o line_n have_v also_o his_o table_n of_o under-measure_n at_o the_o beginning_n end_n and_z begins_z at_z 1_o and_z goes_z to_z 6_o and_o then_o the_o division_n on_o the_o rule_n do_v supply_v all_o the_o rest_n to_o 100_o thus_o much_o for_o description_n now_o for_o use_v the_o inch_n be_v to_o measure_v the_o length_n or_o breadth_n of_o any_o superficies_n or_o solid_a give_v and_o the_o manner_n of_o do_v it_o be_v superfluous_a to_o speak_v of_o or_o once_o to_o mention_v be_v
they_o be_v only_o whole_a hour_n but_o in_o large_a dial_n there_n may_v be_v put_v half_n and_o quarter_n and_o then_o there_o be_v 8_o prick_v hour_n line_n for_o 12_o be_v the_o last_o need_v no_o prick_n for_o distinction_n and_o they_o be_v figure_v above_o the_o aequinoctial_a with_o 6.7.8.9.10.11.12_o and_o under_o the_o tropique_n with_o 8._o 7._o 6.5.4.3.2.1.12_o for_o the_o same_o line_n have_v two_o figure_n viz._n 4_o &_o 8_o 7_o &_o 5_o 6_o &_o 6_o 5_o &_o 7_o 4_o &_o 8_o 3_o &_o 9_o 2_o &_o 10_o 1_o &_o 11_o 12_o &_o 12._o that_o be_v the_o same_o line_n that_o be_v for_o 4_o in_o the_o morning_n be_v for_o 8_o at_o night_n and_o the_o like_a be_v both_o for_o winter_n and_o summer_n the_o reason_n be_v look_v how_o high_a the_o sun_n be_v at_o 7_o in_o the_o morning_n so_o high_a be_v it_o at_o 5_o in_o the_o afternoon_n and_o the_o like_a 7._o those_o line_n that_o descend_v from_o the_o aequinoctial_a towards_o the_o left_a hand_n be_v the_o winter_n hour_n and_o be_v figure_v above_o as_o before_o but_o below_o with_o 12.1.2.3_o for_o in_o the_o short_a day_n the_o sun_n set_v before_o 4_o and_o in_o large_a dial_n there_o be_v half_n and_o quarter_n also_o and_o distinguish_v as_o before_o but_o of_o whole_a hour_n at_o the_o tropique_n there_o be_v but_o 4_o but_o at_o the_o aequinoctial_a there_o be_v 6_o and_o a_o point_n represent_v the_o hour_n of_o 6._o 8._o and_o last_o in_o the_o spare_a room_n beyond_o the_o aequinoctial_a you_o have_v set_v a_o perpetual_a almanac_n whereby_o if_o you_o know_v the_o day_n of_o the_o month_n you_o may_v find_v the_o day_n of_o the_o week_n and_o the_o contrary_n also_o in_o some_o almanac_n you_o have_v the_o dominical_a letter_n leap-year_n and_o epact_n to_o find_v the_o moons-age_n the_o large_a and_o uppermost_a of_o which_o rank_n of_o figure_n be_v the_o 12_o month_n the_o next_o 5_o be_v the_o 31_o day_n of_o the_o month_n and_o the_o rest_n if_o any_o be_v be_v according_a to_o their_o name_n thus_o much_o for_o description_n one_o thing_n more_o i_o think_v convenient_a to_o hint_n to_o make_v it_o serve_v for_o all_o fashion_n of_o dial_n of_o this_o kind_n and_o it_o be_v this_o some_o dial_n of_o this_o kind_n have_v the_o calendar_n of_o month_n and_o day_n on_o the_o backside_n in_o 1_o 2_o or_o 4_o circle_n and_o line_n of_o the_o sun_n declination_n rise_v true_a place_n and_o amplitude_n and_o the_o right_a ascension_n and_o the_o use_n be_v only_o thus_o lay_v a_o thread_n on_o the_o day_n of_o the_o month_n and_o the_o centre_n and_o it_o cut_v or_o show_v all_o the_o other_o in_o their_o respective_a line_n it_o be_v so_o easy_a and_o also_o not_o to_o our_o present_a purpose_n i_o shall_v not_o give_v any_o example_n but_o come_v to_o the_o use_n of_o the_o foreside_n which_o be_v sufficient_a for_o the_o hour_n of_o the_o day_n the_o thing_n promise_v note_v also_o that_o by_o the_o addition_n of_o on_o line_n it_o be_v make_v to_o serve_v for_o all_o latitude_n also_o in_o the_o form_n of_o a_o very_a strong_a and_o handsome_a tobacco-box_n chap._n ii_o the_o use_n of_o the_o dial._n prob._n 1._o how_o to_o hold_v the_o dial_n in_o time_n of_o observation_n hang_v the_o string_n of_o the_o dial_n over_o your_o thumb_n on_o your_o left_a hand_n or_o you_o may_v hold_v it_o between_o your_o thumb_n and_o the_o middle_n of_o your_o forefinger_n and_o stretch_v your_o 4_o finger_n straight_o out_o and_o let_v the_o dial_n hang_v at_o liberty_n just_o touch_v the_o palm_n of_o your_o hand_n that_o it_o may_v be_v steady_a then_o turn_v your_o whole_a body_n about_o till_o the_o edge_n of_o the_o dial_n or_o your_o finger_n end_n be_v just_a against_o the_o sun_n then_o shall_v you_o see_v the_o shadow_n of_o any_o thing_n stick_v in_o the_o centre_n though_o never_o so_o short_a to_o reach_v quite_o through_o the_o dial_n and_o then_o it_o be_v hold_v right_o prob._n 2._o to_o find_v the_o sun_n altitude_n stick_v a_o pin_n the_o small_a the_o better_o in_o the_o centre_n and_o hold_v it_o up_o as_o before_o and_o the_o shadow_n will_v show_v on_o the_o limb_n the_o sun_n altitude_n require_v example_n at_o 8_o of_o the_o clock_n on_o the_o 11_o of_o june_n in_o the_o morning_n i_o will_v know_v the_o sun_n altitude_n i_o hold_v it_o up_o as_o before_o and_o i_o find_v it_o to_o be_v 36.46_o that_o be_v 36_o degree_n and_o 46_o minute_n each_o degree_n be_v 60_o minute_n as_o in_o the_o table_n of_o reduction_n prob._n 3._o to_o find_v the_o perpendicular_a height_n of_o any_o thing_n by_o its_o shadow_n by_o the_o line_n of_o shadow_n hold_v up_o the_o dial_n by_o the_o thread_n as_o before_o and_o look_v on_o what_o division_n of_o the_o line_n shadow_n the_o shadow_n of_o the_o pin_n cut_v that_o be_v the_o true_a height_n or_o length_n of_o the_o shadow_n by_o which_o to_o get_v the_o height_n of_o any_o perpendicular_a thing_n or_o the_o very_a top_n of_o any_o lean_a thing_n that_o cause_v the_o shadow_n example_n on_o the_o same_o 11_o of_o june_n at_o near_o 9_o a_o clock_n in_o the_o morning_n i_o hold_v up_o my_o dial_n and_o i_o find_v the_o shadow_n to_o fall_v just_a on_o 1_o on_o the_o line_n of_o shadow_n or_o 45_o on_o the_o degree_n therefore_o i_o say_v that_o the_o height_n of_o the_o object_n that_o cause_v the_o shadow_n and_o the_o shadow_n be_v both_o of_o one_o length_n but_o if_o it_o have_v fall_v on_o 2_o that_o be_v to_o say_v of_o right_a shadow_n than_o the_o object_n be_v but_o half_o the_o length_n of_o the_o shadow_n measure_v upon_o a_o level_a ground_n from_o the_o end_n of_o the_o shadow_n to_o right_v under_o the_o object_n that_o cause_v the_o shadow_n if_o it_o fall_v on_o 3_o the_o shadow_n be_v 3_o time_n as_o long_o as_o the_o thing_n be_v and_o so_o to_o 12_o to_z 12_o time_n long_o and_o the_o stroke_n between_o note_n one_o ten_o 2_o ten_o 3_o ten_o &c._n &c._n more_o but_o if_o it_o fall_v beyond_o 1_o on_o contrary_a shadow_n than_o the_o shadow_n be_v short_a according_o as_o will_v appear_v very_o plain_a with_o a_o little_a practice_n or_o rather_o thus_o by_o the_o number_n count_n the_o middle_n 1_o on_o the_o rule_n as_o 1_o at_o 45_o on_o the_o dial_n then_o if_o the_o sun_n be_v under_o 45_o count_v they_o on_o the_o rule_n towards_o 10_o and_o if_o above_o 45_o the_o contrary_a then_o as_o the_o part_n cut_v be_v to_o the_o middle_n 1_o so_o be_v the_o length_n of_o the_o shadow_n to_o the_o altitude_n require_v prob._n 4._o the_o use_n of_o the_o quadrat_fw-la to_o use_v the_o quadrat_fw-la you_o must_v have_v a_o hole_n in_o the_o other_o end_n of_o the_o horizontal_a line_n and_o also_o some_o where_n in_o the_o dial_n square_a from_o the_o centre_n to_o the_o horizontal_a line_n also_o you_o must_v have_v a_o thread_n and_o plummet_n than_o the_o use_n be_v thus_o stick_v a_o pin_n in_o the_o centre_n and_o thereon_o hang_v the_o plummet_n than_o put_v a_o pin_n in_o the_o other_o whole_a that_o be_v perpendicular_a to_o the_o horizontal_a line_n and_o just_a over_o the_o centre_n and_o hold_v up_o the_o dial_n in_o your_o right_a hand_n and_o make_v the_o string_n to_o play_v even_o by_o the_o superficies_n of_o the_o dial_n when_o you_o see_v the_o object_n right_o against_o both_o the_o pin_n then_o observe_v what_o stroke_n be_v cut_v by_o the_o thread_n on_o the_o line_n of_o quadrat_fw-la or_o shadow_n for_o that_o may_v be_v use_v so_o also_o for_o if_o you_o go_v backward_o or_o forward_o till_o you_o make_v the_o thread_n to_o fall_v on_o 1_o in_o the_o shadow_n or_o on_o 50_o in_o the_o quadrat_fw-la then_o be_v the_o height_n of_o the_o house_n steeple_n tree_n or_o the_o like_a equal_a to_o the_o distance_n between_o you_o and_o it_o add_v the_o height_n of_o your_o eye_n to_o it_o but_o if_o it_o have_v fall_v on_o 25_o of_o the_o quadrat_fw-la or_o 2_o on_o the_o shadow_n than_o the_o distance_n have_v be_v twice_o as_o much_o as_o the_o height_n if_o right_a shadow_n but_o for_o contrary_a shadow_n the_o contrary_a i_o shall_v say_v no_o more_o to_o this_o only_o give_v you_o a_o caution_n that_o if_o you_o look_v from_o the_o height_n of_o any_o place_n downward_o than_o you_o must_v put_v that_o pin_n next_o the_o centre_n to_o your_o eye_n and_o look_v downward_o to_o your_o object_n and_o then_o the_o side_n which_o before_o be_v right_a shadow_n will_v become_v contrary_a shadow_n and_o the_o contrary_n note_v one_o thing_n further_o that_o if_o your_o instrument_n be_v a_o sextance_n or_o a_o circle_n and_o you_o can_v have_v all_o the_o
quadrat_fw-la as_o on_o a_o quadrant_a you_o may_v then_o move_v the_o pin_n to_o the_o hole_n at_o the_o other_o end_n of_o the_o horizontal_a line_n and_o you_o shall_v see_v that_o defect_n to_o be_v supply_v note_n last_o that_o by_o height_n we_o speak_v only_o of_o perpendicular_a or_o upright_a height_n and_o in_o distance_n only_o of_o level_v or_o horizontal_n prob._n 5._o how_o to_o find_v unaccessable_a height_n by_o the_o quadrat_fw-la at_o two_o observation_n if_o the_o place_n which_o be_v to_o be_v measure_v can_v be_v approach_v unto_o then_o work_v thus_o to_o find_v both_o height_n and_o distance_n first_o make_v choice_n of_o a_o place_n where_o look_v up_o i_o find_v the_o thread_n to_o fall_v on_o 50_o in_o the_o quadrat_fw-la than_o the_o distance_n will_v be_v equal_a to_o the_o height_n then_o make_v a_o mark_n at_o that_o station_n and_o go_v direct_o backward_o in_o a_o right_a line_n with_o the_o former_a distance_n and_o make_v choice_n of_o a_o second_o station_n where_o the_o thread_n may_v fall_v on_o 25_o part_n of_o right_a shadow_n than_o this_o second_o station_n be_v double_a to_o the_o height_n and_o also_o to_o the_o distance_n depart_v from_o the_o first_o station_n and_o the_o half_a therefore_o be_v the_o height_n and_o first_o distance_n but_o if_o it_o be_v so_o you_o can_v come_v to_o take_v such_o a_o height_n as_o 50_o and_o 25_o then_o take_v as_o you_o may_v as_o suppose_v one_o be_v at_o 25_o and_o the_o other_o at_o 20_o and_o suppose_v the_o height_n to_o be_v 100_o i_o find_v that_o as_o 25_o the_o part_n cut_v be_v to_o 50_o the_o side_n of_o the_o quadrat_fw-la so_o be_v 100_o the_o suppose_a height_n unto_o 200_o the_o distance_n and_o as_o 20_o the_o second_o station_n to_o 50_o the_o side_n of_o the_o quadrat_fw-la so_o be_v 100_o the_o suppose_a height_n unto_o 250_o the_o second_o distance_n wherefore_o the_o difference_n between_o the_o station_n shall_v seem_v to_o be_v 50_o then_o if_o in_o measure_v you_o find_v it_o to_o be_v either_o more_o or_o less_o than_o this_o proportion_n do_v hold_v as_o from_o the_o suppose_a difference_n to_o the_o measure_a difference_n so_o from_o the_o suppose_a height_n to_o the_o true_a height_n and_o from_o the_o suppose_a distance_n to_o the_o true_a distance_n and_o now_o suppose_v the_o difference_n between_o the_o two_o station_n be_v find_v to_o be_v 30_o by_o measure_v then_o as_o 50_o the_o suppose_a difference_n to_o 30_o the_o true_a difference_n so_o be_v 100_o the_o suppose_a height_n to_o 60_o the_o true_a height_n and_o 200_o the_o suppose_a distance_n to_o 120_o the_o true_a and_o 250_o at_o the_o second_o station_n unto_o 150_o the_o distance_n the_o like_a reason_n hold_v in_o all_o other_o example_n of_o this_o kind_n and_o if_o a_o index_n with_o sight_n be_v fit_v to_o the_o centre_n it_o may_v serve_v for_o all_o other_o horizontal_a distance_n by_o the_o same_o reason_n the_o use_n of_o the_o almanac_n prob._n 6._o have_v the_o day_n of_o the_o week_n to_o find_v the_o day_n of_o the_o month_n for_o ever_o first_o find_v what_o day_n of_o the_o week_n the_o first_o of_o january_n be_v on_o which_o be_v thus_o do_v first_o find_v the_o dominical_a letter_n for_o the_o last_o leap-year_n set_v down_o in_o the_o almanac_n the_o next_o letter_n be_v for_o the_o next_o year_n follow_v and_o so_o till_o you_o come_v to_o the_o year_n you_o look_v for_o and_o note_v every_o leap-year_n have_v two_o dominical_a letter_n viz._n the_o next_o before_o it_o till_o the_o 24_o of_o february_n and_o that_o over_o it_o for_o the_o remainder_n of_o the_o year_n have_v find_v it_o reckon_v from_o a_o either_o backward_o or_o forward_o always_o call_v a_o sunday_n you_o shall_v find_v what_o day_n be_v the_o first_o of_o january_n example_n for_o the_o year_n 1656_o f_o be_v the_o dominical_a letter_n therefore_o say_v a_o sunday_n g_z monday_n f_o tuesday_n and_o that_o be_v the_o first_o of_o january_n and_o then_o make_v use_n of_o that_o thus_o on_o the_o first_o tuesday_n in_o the_o begin_n of_o february_n i_o will_v know_v the_o day_n of_o the_o month_n among_o the_o month_n look_v for_o 12_o which_o be_v for_o february_n reckon_v from_o march_n which_o be_v always_o the_o first_o month_n and_o right_o under_o ●●_o you_o have_v 5_o for_o the_o five_o day_n be_v the_o first_o tuesday_n in_o february_n and_o 12_o 19_o 26_o for_o the_o other_o tuesday_n in_o february_n but_o now_o for_o the_o other_o month_n after_o march_n you_o must_v say_v wednesday_n the_o reason_n be_v because_o february_n have_v 29_o day_n and_o the_o leap-year_n two_o dominical_a letter_n viz._n f._n and_o e._n then_o reckon_v from_o e_o to_o a_o and_o it_o fall_v on_o wednesday_n which_o use_v thus_o in_o the_o year_n 1656_o and_o all_o other_o leapyear_n as_o in_o the_o begin_n of_o august_n on_o thursday_n what_o day_n of_o the_o month_n be_v it_o august_n be_v the_o six_o month_n look_v for_o 6_o among_o the_o month_n and_o right_a under_o it_o you_o have_v 6_o which_o be_v wednesday_n therefore_o 7_o be_v thursday_n and_o the_o first_o thursday_n in_o august_n but_o now_o for_o 1657._o i_o find_v that_o thursday_n be_v the_o first_o of_o january_n say_v thus_o a_o sunday_n b_o saturday_n c_z friday_n d_o thursday_n and_o so_o it_o be_v all_o the_o year_n long_o in_o all_o the_o month_n for_o have_v find_v the_o month_n all_o the_o day_n right_a under_o be_v thursdays_n and_o then_o reckon_v onward_o or_o backward_o for_o any_o other_o of_o the_o weekday_n and_o you_o have_v your_o desire_n for_o any_o yearpa_v present_a or_o to_o come_v prob._n 7._o to_o find_v the_o epact_n and_o by_o that_o the_o moon_n age_n any_o day_n of_o the_o month._n on_o the_o leap-year_n you_o have_v it_o set_v down_o in_o the_o almanac_n for_o the_o next_o year_n add_v 11._o and_o you_o have_v your_o desire_n and_o for_o the_o next_o year_n add_v 11_o to_o that_o and_o so_o to_o the_o next_o leapyear_n but_o if_o by_o so_o add_v it_o exceed_v 30_o then_o take_v away_o 30_o and_o the_o remain_n be_v the_o epact_n have_v the_o epact_n add_v to_o it_o the_o day_n of_o the_o month_n and_o the_o number_n of_o the_o month_n from_o march_n also_o include_v both_o the_o month_n and_o if_o they_o come_v not_o to_o 30_o that_o be_v the_o moon_n age_n but_o if_o they_o exceed_v 30_o and_o the_o month_n have_v 31_o day_n then_o subtract_v 30_o and_o the_o remain_n be_v the_o age_n but_o if_o the_o month_n have_v but_o 30_o day_n then_o subtract_v but_o 29_o and_o the_o remainder_n be_v the_o age_n of_o the_o moon_n require_v example_n in_o july_n 1656._o on_o the_o 20_o day_n the_o epact_n be_v 14._o then_o 14.20_o and_o 5_o add_v be_v 39_o from_o which_o take_v 30_o rest_v 9_o day_n old_a on_o the_o 20_o of_o july_n 1656._o the_o moon_n age_n seek_v for_o prob._n 8._o to_o find_v the_o hour_n of_o the_o day_n have_v find_v the_o day_n of_o the_o month_n by_o the_o almanac_n you_o must_v find_v the_o mark_n or_o the_o space_n between_o two_o mark_n in_o the_o calendar_n represent_v that_o day_n which_o do_v thus_o look_v for_o the_o first_o letter_n or_o name_n of_o the_o month_n in_o the_o calendar_n according_a to_o the_o time_n of_o the_o year_n then_o reckon_v from_o thence_o to_o the_o day_n you_o be_v in_o either_o by_o 5_o 10_o 15_o 20_o 25_o 30_o 31_o if_o the_o part_n be_v so_o divide_v as_o in_o small_a instrument_n they_o can_v well_o be_v more_o but_o if_o you_o have_v single_a day_n every_o five_o and_o ten_o be_v know_v from_o the_o rest_n by_o a_o long_a stroke_n and_o the_o last_o day_n by_o the_o long_a stroke_n well_o have_v find_v the_o day_n or_o the_o place_n between_o two_o stroke_n represent_v it_o lay_v a_o thread_n from_o the_o centre_n over_o that_o day_n or_o for_o want_v of_o a_o thread_n stick_v a_o ●in_a in_o the_o centre_n and_o cause_v the_o shadow_n to_o fall_v upon_o the_o day_n and_o then_o observe_v on_o which_o or_o between_o which_o of_o the_o 25_o or_o 19_o line_n the_o thread_n cut_v the_o 12_o of_o clock_n line_n for_o on_o that_o line_n must_v you_o look_v for_o the_o hour_n all_o that_o day_n before_o i_o come_v to_o example_n i_o shall_v hint_n a_o plain_a word_n of_o the_o reason_n of_o this_o which_o i_o find_v some_o to_o marvel_v at_o the_o hour_n of_o the_o day_n in_o this_o and_o in_o most_o instrumental-dials_n be_v give_v by_o the_o sun_n height_n now_o all_o man_n know_v the_o sun_n be_v not_o so_o high_a in_o winter_n as_o in_o summer_n therefore_o the_o summer_n hour_n line_n will_v not_o serve_v the_o winter_n and_o also_o all_o man_n know_v
these_o or_o the_o like_a mean_n you_o may_v come_v to_o know_v all_o the_o star_n in_o the_o nocturnal_a and_o if_o you_o attain_v to_o know_v they_o with_o the_o help_n of_o the_o other_o paper_n you_o may_v know_v all_o in_o the_o half-hemisphere_n that_o be_v between_o the_o pole_n and_o equinoctial_a second_o to_o find_v when_o any_o star_n come_v to_o the_o meridian_n the_o meridian_n be_v a_o line_n or_o arch_n of_o a_o circle_n conceive_v to_o be_v draw_v through_o or_o rather_o by_o the_o star_n in_o the_o tail_n of_o the_o little_a bear_n which_o be_v the_o pole_n star_n right_a over_o your_o head_n and_o to_o make_v you_o understand_v this_o the_o better_a hang_v a_o line_n with_o a_o weight_n at_o the_o end_n of_o it_o out_o of_o a_o window_n that_o look_v to_o the_o north_n a_o good_a way_n from_o the_o house_n or_o on_o a_o tree_n or_o corner_n of_o a_o house_n and_o then_o go_v to_o and_o fro_o till_o you_o see_v the_o line_n cut_v by_o the_o north-star_n how_o much_o and_o on_o which_o side_n the_o nocturnal_a will_v show_v you_o and_o that_o line_n then_o be_v the_o meridian-line_n and_o than_o what_o star_n soever_o be_v under_o the_o line_n and_o the_o north-star_n or_o pole_n for_o when_o you_o use_v the_o star_n of_o cassiopeia_n the_o star_n be_v the_o true_a pole_n as_o by_o the_o meridian-line_n on_o the_o nocturnal_a you_o may_v plain_o see_v that_o star_n i_o say_v be_v exact_o on_o the_o meridian_n be_v it_o above_o or_o below_o the_o pole_n for_o so_o it_o be_v in_o that_o direct_a line_n with_o the_o pole_n it_o matter_n not_o so_o you_o have_v the_o hour_n divide_v round_o about_o but_o you_o may_v be_v able_a in_o a_o little_a practice_n to_o guess_v without_o the_o plumb-line_n yet_o it_o will_v marvellous_o rectify_v your_o judgement_n till_o you_o be_v more_o ready_a at_o it_o these_o two_o be_v know_v all_o the_o rest_n be_v very_o easy_a as_o may_v be_v 3._o the_o day_n of_o the_o month_n be_v give_v and_o a_o star_n on_o the_o meridian_n to_o find_v the_o hour_n of_o the_o night_n suppose_v on_o the_o 1_o of_o august_n i_o see_v by_o the_o mean_v beforesaid_a the_o star_n in_o the_o tip_n of_o the_o great_a bear_n tail_n to_o be_v in_o the_o meridian_n then_o bring_v that_o star_n just_a under_o the_o string_n and_o look_v for_o the_o 1_o of_o august_n and_o right_a against_o it_o you_o have_v 4_o a_o clock_n and_o 8_o minute_n in_o the_o morning_n or_o else_o set_v the_o day_n of_o the_o month_n to_o 12_o and_o then_o keep_v it_o fix_v all_o that_o night_n than_o the_o thread_n lay_v over_o the_o star_n that_o be_v in_o the_o meridian_n shall_v at_o the_o same_o time_n in_o the_o hour_n show_v the_o hour_n count_v backward_o another_o example_n suppose_v on_o the_o same_o night_n the_o star_n in_o the_o nose_n of_o the_o bear_n be_v in_o the_o meridian_n then_o bring_v that_o star_n under_o the_o string_n and_o the_o 1_o of_o august_n will_v show_v 10.37_o that_o be_v 37_o minute_n past_o 10_o at_o night_n the_o like_a be_v for_o any_o other_o 4._o to_o find_v the_o right_a ascension_n of_o a_o star_n bring_v the_o star_n under_o the_o thread_n and_o the_o thread_n show_v his_o right_a ascension_n in_o the_o degree_n so_o you_o will_v find_v the_o right_a ascension_n of_o the_o star_n in_o the_o great_a bear_n tail_n to_o be_v 203._o 5._o to_o find_v the_o declination_n of_o a_o star_n bring_v the_o star_n under_o the_o line_n then_o prick_v a_o pin_n through_o the_o string_n and_o just_a in_o the_o midst_n of_o the_o star_n then_o keep_v the_o pin_n there_o and_o bring_v the_o scale_n of_o declination_n right_n under_o the_o line_n and_o pin_n and_o the_o pin_n point_n show_v you_o his_o declination_n or_o distance_n from_o the_o pole_n by_o these_o two_o last_o you_o may_v add_v any_o star_n who_o right_a ascension_n and_o declination_n you_o know_v and_o so_o put_v in_o all_o as_o may_v be_v see_v in_o this_o compass_n at_o any_o time_n or_o by_o the_o right_a ascension_n only_o be_v sufficient_a for_o this_o purpose_n to_o wit_v the_o hour_n of_o the_o night_n you_o may_v add_v the_o bull_n eye_n little_a dog_n 7_o star_n orion_n or_o any_o other_o chief_a principal_n fix_v star_n and_o make_v use_v of_o it_o to_o find_v the_o hour_n of_o the_o night_n withal_o 6._o the_o day_n of_o the_o month_n and_o hour_n be_v give_v to_o know_v what_o star_n be_v on_o or_o near_o the_o meridian_n set_a the_o day_n of_o the_o month_n to_o the_o hour_n of_o the_o night_n and_o the_o star_n that_o be_v under_o the_o string_n be_v all_o on_o the_o meridian_n and_o if_o there_o be_v none_o just_a you_o shall_v see_v what_o half_a or_o 3_o or_o 4_o part_n between_z 2_o be_v on_o the_o meridian_n and_o this_o be_v a_o excellent_a way_n to_o help_v you_o to_o know_v the_o star_n also_o note_n that_o to_o use_v this_o paper_n piece_n past_v on_o a_o board_n and_o not_o to_o turn_v about_o do_v thus_o lay_v a_o thread_n on_o the_o star_n you_o find_v to_o be_v in_o the_o meridian_n then_o with_o a_o pair_n of_o compass_n measure_v from_o the_o thread_n to_o the_o next_o 12_o the_o same_o extent_n lay_v the_o same_o way_n in_o the_o line_n of_o month_n and_o hour_n shall_v reach_v from_o the_o day_n of_o the_o month_n to_o the_o hour_n require_v finis_fw-la the_o use_n of_o the_o line_n of_o number_n on_o a_o slide_v or_o glasier_n rule_v in_o arithmetic_n &_o geometry_n as_o also_o a_o most_o excellent_a contrivance_n of_o the_o line_n of_o number_n for_o the_o measure_v of_o timber_n either_o round_a or_o square_a be_v the_o most_o easy_a speedy_a and_o exact_a as_o ever_o be_v use_v whereby_o at_o one_o set_v to_o the_o length_n all_o ordinary_a piece_n of_o timber_n from_o one_o inch_n to_o 100_o foot_n be_v with_o a_o glance_n of_o the_o eye_n resolve_v without_o pen_n or_o compass_n first_o draw_v by_o mr._n white_n and_o since_o much_o enlarge_v and_o make_v easy_a and_o useful_a by_o john_n brown_n london_n print_v in_o the_o year_n 1656._o the_o use_n of_o the_o line_n of_o number_n on_o a_o sliding-rule_a for_o the_o measure_n of_o superficial_a or_o solid-measure_n chap._n 1._o a_o sliding-rule_a be_v only_o two_o rule_n or_o rule-piece_n fit_v together_o with_o a_o brassesocket_n at_o each_o end_n that_o they_o slip_v not_o out_o of_o the_o grove_n and_o the_o line_n of_o number_n thereon_o be_v cut_v across_o the_o move_a joint_n on_o each_o piece_n the_o same_o division_n on_o both_o side_n only_o the_o place_n of_o the_o line_n differ_v for_o on_o one_o side_n of_o the_o rule_n you_o have_v 1_o set_v at_o the_o beginning_n and_z 10_o at_o the_o end_n on_o each_o piece_n but_o on_o the_o other_o side_n 1_o be_v set_v in_o the_o middle_n and_o the_o rest_n of_o the_o figure_n answerable_o both_o way_n on_o purpose_n to_o make_v it_o large_a and_o to_o take_v in_o all_o number_n and_o the_o read_n of_o this_o be_v the_o very_a same_o with_o the_o other_o for_o if_o you_o pull_v out_o the_o rule_n and_o set_v 10_o at_o the_o end_n right_a against_o 1_o at_o the_o beginning_n then_o on_o both_o piece_n you_o have_v the_o former_a line_n of_o number_n complete_o therefore_o i_o shall_v say_v nothing_o as_o to_o description_n or_o read_v of_o it_o but_o come_v straight_o to_o the_o use_n on_o the_o edge_n of_o the_o rule_n be_v usual_o set_v foot-measure_n be_v the_o foot_n or_o 12_o inch_n part_v into_o 100_o part_n and_o on_o the_o flat_a side_n next_o to_o the_o foot-measure_n inch_n in_o 8_o part_n and_o on_o the_o other_o flat_a edge_n on_o the_o other_o side_n the_o line_n of_o board-measure_n and_o sometime_o timber-measure_n who_o use_n be_v show_v in_o the_o first_o chapter_n of_o the_o book_n but_o note_v if_o the_o rule_n be_v a_o just_a foot_n when_o it_o be_v shut_v as_o glasier_n common_o have_v it_o than_o the_o inch_n be_v set_v alike_o on_o both_o side_n and_o the_o foot-measure_n alike_o on_o both_o edge_n and_o be_v pull_v out_o as_o far_o as_o the_o brass_n will_v suffer_v it_o want_v about_o one_o inch_n of_o two_o foot_n but_o if_o you_o will_v have_v it_o to_o be_v two_o foot_n just_a when_o pull_v out_o as_o it_o be_v make_v for_o carpenter_n use_v than_o the_o inch_n on_o one_o side_n and_o foot-measure_n on_o the_o same_o reciprocal_a edge_n must_v be_v figure_v otherwise_o as_o 13._o 14._o 15._o 16._o 17._o etc._n etc._n to_o 25._o inch_n and_o the_o foot-measure_n with_o 110._o near_o the_o end_n 120_o 130_o 140_o 150_o etc._n etc._n with_o 210_o at_o the_o very_a end_n show_v the_o measure_n from_o end_n to_o end_n be_v draw_v out_o to_o any_o