general_a reason_n be_v either_o in_o respect_n of_o their_o name_n or_o their_o definition_n they_o be_v name_v by_o the_o greek_n 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d tropicke_n by_o the_o latin_v versiles_n conversius_fw-la vertentes_fw-la tourn_v and_o the_o solstitial_a parallel_n their_o definition_n contain_v their_o quantity_n and_o their_o circumference_n their_o quantity_n be_v note_v either_o in_o respect_n of_o the_o other_o circle_n these_o be_v count_v in_o the_o number_n of_o the_o less_o circle_n or_o in_o regard_n of_o themselves_o whereby_o they_o be_v count_v equal_a in_o asmuch_o as_o they_o be_v equal_o distant_a from_o the_o centre_n of_o the_o world_n be_v separate_v the_o one_o from_o the_o other_o by_o the_o double_a distance_n of_o the_o ☉_o great_a declination_n their_o circumference_n be_v that_o round_a compass_n which_o the_o ☉_o pass_v through_o the_o 2_o solstitial_a point_n do_v describe_v they_o be_v in_o number_n 2._o the_o one_o septentrional_a the_o other_o meridional_a the_o septentrional_a tropic_n be_v on_o this_o side_n of_o the_o equator_fw-la in_o respect_n of_o we_o which_o we_o call_v either_o the_o summer_n tropic_n for_o that_o it_o pass_v through_o the_o point_n of_o the_o summer_n solstice_n orâ—ls_v the_o tropic_n of_o ♋_o because_o it_o be_v describe_v through_o the_o end_n of_o ♊_o &_o the_o beginning_n of_o ♋_o the_o meridional_a tropic_n be_v situate_v on_o the_o other_o side_n of_o the_o equator_fw-la and_o be_v call_v either_o the_o winter_n tropic_n as_o pass_v through_o the_o point_n of_o the_o winter_n solstice_n or_o the_o tropic_n of_o ♑_o because_o it_o be_v draw_v through_o the_o head_n of_o ♑_o the_o office_n and_o commodity_n of_o they_o be_v in_o number_n 4._o 1_o they_o show_v the_o trope_n that_o be_v the_o conversion_n or_o tourning_n of_o the_o ☉_o aswell_o in_o summer_n happen_v in_o our_o age_n the_o 3._o and_o 2._o of_o the_o ides_n of_o june_n as_o also_o in_o winter_n the_o 3._o &_o 2._o of_o the_o ides_n of_o december_n 2_o they_o show_v in_o every_o situation_n of_o the_o sphere_n both_o the_o long_a day_n which_o be_v as_o long_o as_o the_o diurnal_a ark_n of_o the_o tropic_n of_o ♋_o contain_v hour_n and_o the_o short_a day_n which_o be_v as_o long_o as_o the_o space_n of_o hour_n contain_v within_o the_o diurnal_a ark_n of_o the_o tropic_n of_o ♑_o 3_o they_o point_n out_o the_o limit_n of_o the_o course_n of_o the_o ☉_o and_o his_o great_a declination_n which_o be_v 23._o gr_n 52._o mi._n as_o in_o the_o time_n of_o aristarchus_n &_o ptolemee_n or_o 23._o gr_n 28._o mi._n as_o it_o be_v now_o in_o our_o time_n 4_o they_o show_v the_o burn_a zone_n which_o they_o separate_v from_o the_o temperate_a and_o the_o midst_n of_o the_o second_o climate_n which_o they_o call_v dia-syenes_a and_o anti-dia-syenes_a of_o the_o 2._o polare_fw-la circle_n chap._n 26._o the_o two_o pole_n of_o the_o zodiac_n carry_v about_o by_o the_o regular_fw-la revolution_n of_o the_o universal_a frame_n describe_v about_o the_o pole_n of_o the_o world_n two_o circle_n whereof_o the_o general_a reason_n the_o number_n and_o the_o use_n be_v to_o be_v note_v the_o general_a reason_n offer_v to_o our_o consideration_n their_o name_n their_o definition_n and_o their_o accident_n they_o be_v call_v the_o polare_fw-la circle_n either_o because_o they_o be_v describe_v about_o the_o pole_n or_o by_o the_o pole_n their_o definition_n by_o the_o latin_n it_o be_v make_v by_o their_o quantity_n and_o their_o circumference_n and_o plane_n touch_v their_o quantity_n they_o be_v in_o the_o number_n of_o the_o less_o circle_n equal_a in_o all_o place_n their_o circumference_n and_o plane_n be_v describe_v either_o by_o line_n draw_v from_o the_o pole_n of_o the_o zodiac_n unto_o the_o axe_n of_o the_o world_n at_o right_a angle_n and_o have_v by_o the_o daily_a motion_n a_o perfect_a revolution_n or_o else_o they_o be_v describe_v by_o certain_a semidiameter_n draw_v from_o the_o centre_n of_o the_o earth_n unto_o the_o pole_n of_o the_o zodiac_n and_o turn_v about_o by_o the_o diurnal_a and_o nocturnal_a motion_n the_o accident_n of_o the_o polare_fw-la circle_n do_v determine_v either_o their_o equality_n for_o they_o be_v parallel_n compare_v either_o one_o with_o another_o in_o asmuch_o as_o they_o be_v equidistant_a from_o the_o centre_n or_o compare_v with_o the_o tropick_n &_o the_o equator_fw-la or_o else_o they_o determine_v their_o distance_n either_o from_o the_o next_o tropic_n which_o be_v 43._o gr_n or_o from_o the_o pole_n of_o the_o world_n which_o be_v equal_a unto_o the_o ☉_o great_a declination_n they_o be_v two_o in_o number_n the_o one_o septentrional_a the_o other_o meridional_a the_o septentrional_a polare_fw-la circle_n be_v describe_v by_o the_o north_n pole_n of_o the_o ecliptic_a the_o meridional_a by_o the_o south_n pole_n thereof_o the_o septentrional_a polare_fw-la circle_n be_v call_v boreall_n north_n of_o the_o north_n wind_v call_v boreas_n and_o arctic_a and_o septentrional_a because_o of_o the_o 2._o constellation_n the_o one_o of_o the_o great_a bear_v call_v arctos_n the_o other_o of_o the_o less_o bear_v call_v septentriones_fw-la which_o be_v nigh_o thereunto_o the_o meridional_a polare_fw-la circle_n be_v call_v australl_a or_o southern_a of_o the_o south_n wind_v call_v auster_n and_o antarcticke_a â—s_a opposite_a unto_o the_o arctic_a and_o meridional_a of_o the_o south_n part_n of_o heaven_n call_v meridy_n their_o use_n be_v note_v in_o that_o they_o comprehend_v the_o cold_a and_o freeze_a zone_n and_o the_o inhabitant_n of_o the_o earth_n call_v perison_n who_o shadow_n go_v round_o about_o they_o and_o on_o either_o side_n limit_v the_o the_o distance_n of_o the_o pole_n the_o polare_fw-la circle_n otherwise_o describe_v according_a to_o the_o grecian_n chap._n 27._o the_o polare_fw-la circle_n be_v describe_v either_o according_a to_o the_o great_a declination_n of_o the_o ☉_o or_o the_o altitude_n of_o the_o pole_n above_o the_o horizon_n the_o great_a declination_n of_o the_o ☉_o by_o mean_n of_o the_o motion_n of_o inclination_n of_o the_o eight_o sphere_n be_v diverse_a for_o it_o be_v one_o in_o time_n past_a and_o be_v find_v to_o be_v another_o now_o and_o of_o such_o circle_n the_o reason_n be_v declare_v in_o the_o chapter_n before_o the_o polare_fw-la circle_n describe_v according_a to_o the_o altitude_n of_o the_o pole_n require_v the_o consideration_n of_o their_o definition_n their_o variety_n their_o office_n and_o the_o manner_n of_o their_o description_n in_o define_v the_o arctic_a polate_a circle_n we_o say_v 1._o that_o it_o be_v the_o great_a of_o those_o circle_n which_o be_v always_o in_o our_o sight_n that_o be_v of_o those_o which_o we_o may_v see_v at_o the_o same_o instant_n 2._o that_o it_o touch_v the_o horizon_n in_o one_o point_n 3._o that_o it_o be_v altogether_o above_o the_o earth_n in_o define_v the_o antarctick_a polare_fw-la circle_n we_o say_v 1._o that_o it_o be_v equal_a and_o parallel_v unto_o the_o arctic_a 2._o that_o it_o touch_v the_o horizon_n in_o one_o point_n 3._o that_o it_o be_v altogether_o hide_a under_o the_o earth_n the_o variety_n be_v manifold_a according_a to_o the_o didiversitie_n of_o the_o climate_n for_o either_o they_o be_v not_o at_o à ll_a as_o in_o a_o right_a sphere_n it_o happen_v where_o exclude_v altogether_o the_o polare_fw-la circle_n the_o greek_n recon_fw-mi 3._o parallel_n only_o or_o else_o they_o be_v and_o those_o sometime_o either_o less_o equal_a or_o great_a than_o the_o tropicke_n or_o else_o they_o be_v equal_a unto_o the_o equator_fw-la and_o the_o horizon_n for_o by_o how_o much_o the_o pole_n shall_v be_v high_o by_o so_o much_o shall_v these_o circle_n be_v great_a the_o office_n and_o use_n of_o the_o arctic_a circle_n be_v in_o that_o it_o show_v the_o star_n that_o never_o arise_v â—nor_n set_v of_o the_o antarcticke_a circle_n the_o conâ—trary_a be_v to_o be_v conceive_v the_o mean_n of_o their_o description_n be_v by_o those_o star_n that_o in_o any_o region_n do_v touch_v the_o horizon_n of_o the_o milky_a circle_n chap._n 28._o of_o all_o the_o circle_n there_o be_v none_o to_o be_v see_v beside_o the_o milky_a circle_n which_o for_o that_o the_o greek_n do_v recon_fw-mi among_o the_o other_o circle_n we_o will_v express_v the_o name_n the_o definition_n the_o cause_n thereof_o and_o the_o distinct_a star_n which_o make_v the_o same_o the_o name_n be_v diverse_a as_o galaxia_fw-la the_o milky_a orb_n or_o circle_n the_o milky_a zone_n or_o milky_a way_n the_o arabian_n dal_n it_o matarati_n as_o it_o be_v a_o broad_a space_n or_o ark_n that_o move_v it_o be_v define_v to_o be_v one_o of_o the_o great_a circle_n oblique_a draw_v or_o stretch_v towards_o both_o the_o pole_n most_o bright_o shine_v apparent_a unto_o the_o sense_n inequal_a both_o in_o
be_v call_v civil_a or_o natural_a the_o other_o artificial_a in_o the_o civil_a or_o natural_a day_n we_o may_v consider_v the_o definition_n the_o distinction_n and_o the_o cause_n of_o inequality_n the_o definition_n respect_v either_o the_o name_n or_o the_o thing_n itself_o it_o be_v call_v either_o natural_a as_o cause_v by_o the_o natural_a or_o regular_fw-la motion_n of_o the_o whole_a or_o 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d by_o prolemee_n as_o consist_v of_o the_o night_n and_o day_n together_o or_o else_o civil_a because_o all_o nation_n natural_o do_v term_v it_o a_o day_n the_o definition_n respect_v the_o thing_n be_v that_o according_a to_o which_o it_o be_v define_v to_o be_v the_o space_n of_o 24._o hour_n and_o certain_a minute_n consist_v of_o light_n and_o darkness_n the_o definition_n thereof_o be_v in_o respect_n of_o the_o continuance_n and_o length_n of_o the_o day_n and_o thereof_o one_o be_v call_v inequal_a or_o different_a also_o the_o true_a and_o apparent_a day_n the_o greek_n call_v it_o 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d irregulare_fw-la another_o the_o equal_a or_o mean_a day_n the_o inequal_a or_o different_a day_n be_v the_o space_n of_o 24._o hour_n and_o so_o many_o minute_n as_o be_v answerable_a unto_o each_o portion_n of_o the_o zodiac_n which_o the_o ☉_o do_v daily_a run_v over_o the_o equal_a or_o indifferent_a day_n be_v the_o space_n of_o 24._o hour_n and_o so_o many_o minute_n as_o be_v answerable_a unto_o the_o quatity_n of_o the_o mean_a motion_n of_o the_o ☉_o in_o one_o day_n which_o be_v 59_o gr_n 8._o mi._n the_o cause_n of_o the_o inequality_n happen_v unto_o the_o true_a natural_a day_n either_o in_o a_o right_n or_o in_o a_o oblique_a sphere_n the_o cause_n of_o the_o inequality_n happen_v in_o a_o right_a sphere_n be_v through_o the_o inequal_a augmentation_n by_o mean_n either_o of_o the_o equinoctial_a ascension_n inequal_o answer_v the_o same_o by_o reason_n of_o the_o obliquity_n of_o the_o zodiac_n orel_n of_o the_o motion_n of_o the_o ☉_o which_o about_o the_o centre_n of_o the_o world_n be_v inequal_a the_o cause_n of_o the_o inqualitye_n of_o the_o day_n happen_v in_o a_o oblique_a sphere_n be_v through_o the_o inequal_a augmentation_n appertein_v either_o to_o the_o equinoctial_a ascension_n inequal_o answer_v the_o same_o by_o reason_n of_o the_o obliquity_n aswell_o of_o the_o horizon_n as_o of_o the_o zodiac_n or_o else_o to_o the_o eccentricke_a circle_n of_o the_o ☉_o wherein_o the_o ☉_o run_v do_v in_o equal_a time_n perform_v a_o inequal_a motion_n the_o artificial_a day_n be_v handle_v in_o the_o chap._n follow_v of_o the_o artificial_a day_n and_o night_n and_o the_o diversity_n belong_v to_o they_o both_o chap._n 37._o the_o ☉_o carry_v about_o by_o the_o first_o motion_n distinguish_v the_o naturaall_a day_n into_o two_o part_n whereof_o the_o one_o be_v call_v the_o artificial_a day_n the_o other_o the_o artificial_a night_n concern_v the_o artificial_a day_n astronomy_n deliver_v the_o definition_n and_o the_o proportion_n thereof_o the_o definition_n contain_v the_o author_n and_o the_o term_n thereof_o the_o author_n of_o the_o artificial_a day_n be_v the_o ☉_o who_o carry_v about_o by_o the_o first_o motion_n describe_v in_o the_o day_n time_n a_o certain_a ark_n the_o term_n be_v either_o from_o whence_o that_o be_v from_o the_o easterlie_fw-mi part_n of_o the_o horizon_n or_o by_o what_o that_o be_v by_o the_o vertical_a meridian_n or_o unto_o what_o that_o be_v unto_o the_o westerly_a part_n of_o the_o horizon_n the_o proportion_n of_o the_o artificial_a day_n be_v deliver_v in_o so_o much_o as_o appertain_v unto_o the_o length_n thereof_o either_o in_o a_o right_a or_o in_o a_o oblique_a sphere_n in_o a_o right_a sphere_n it_o be_v always_o equal_a unto_o it_o self_n and_o to_o the_o night_n by_o reason_n of_o the_o equality_n both_o of_o the_o ascension_n for_o the_o one_o half_a of_o the_o equator_fw-la do_v always_o equal_o ascend_v and_o descend_v with_o six_o sign_n of_o the_o zodiac_n and_o of_o the_o diurnal_a and_o nocturnal_a segment_n in_o a_o oblique_a sphere_n the_o day_n to_o themselves_o and_o to_o the_o night_n be_v either_o equal_a or_o inequal_a the_o day_n be_v equal_a both_o to_o themselves_o and_o to_o the_o night_n in_o the_o equinoctial_a by_o reason_n of_o the_o equality_n both_o of_o the_o ascension_n for_o look_v how_o great_a the_o ascension_n of_o the_o diurnal_a ark_n be_v so_o great_a also_o be_v the_o descension_n of_o the_o nocturnal_a &_o of_o the_o segment_n which_o the_o ☉_o describe_v the_o say_a segment_n be_v incident_a with_o the_o equator_fw-la the_o day_n be_v inequal_a both_o among_o themselves_o and_o to_o the_o night_n when_o the_o ☉_o have_v pass_v the_o equinoctial_a point_n aswell_o by_o reason_n of_o the_o diversity_n of_o the_o ascension_n of_o the_o sign_n as_o also_o by_o reason_n of_o the_o sun_n inequal_a describe_v of_o the_o parallel_n by_o the_o motion_n of_o the_o world_n the_o artificial_a night_n geve_v we_o to_o consider_v the_o definition_n and_o the_o measure_n it_o be_v define_v to_o be_v the_o part_n remain_v of_o the_o natural_a day_n comprehend_v the_o space_n between_o the_o set_n of_o the_o ☉_o and_o the_o rise_n thereof_o the_o measure_n thereof_o be_v either_o equal_a or_o inequal_a the_o equality_n of_o measure_n fall_v out_o in_o the_o right_a sphere_n always_o in_o a_o oblique_a sphere_n two_o time_n in_o the_o year_n the_o inequality_n of_o measure_n have_v notwithstanding_o either_o a_o like_a diversity_n in_o the_o sign_n equidistant_a from_o the_o equator_fw-la or_o alternate_a in_o opposite_a point_n of_o the_o reason_n of_o the_o equal_a and_o inequal_a hour_n chap._n 38._o have_v thus_o set_v down_o the_o description_n of_o the_o day_n it_o fall_v out_o now_o to_o entreat_v of_o their_o part_n common_o call_v hour_n whereof_o we_o must_v consider_v the_o general_a reason_n and_o the_o division_n the_o general_a reason_n attend_v their_o definition_n their_o number_n and_o their_o subdivision_n they_o be_v define_v to_o be_v that_o space_n of_o time_n wherein_o the_o 24._o part_n or_o 15._o gr_n either_o of_o the_o equator_fw-la or_o of_o the_o ecliptic_a do_v full_o arise_v they_o be_v in_o number_n 24._o belong_v unto_o every_o natural_a day_n every_o hour_n be_v subdivide_v into_o 60._o minute_n every_o minute_n into_o 60._o second_n etc._n etc._n the_o division_n of_o the_o hour_n consist_v in_o this_o that_o either_o they_o be_v reckon_v in_o the_o ecliptic_a or_o else_o in_o the_o equator_fw-la those_o that_o be_v take_v in_o the_o ecliptic_a the_o ascension_n whereof_o do_v vary_v be_v call_v inequal_a hour_n whereof_o the_o name_n the_o definition_n and_o the_o number_n be_v to_o be_v note_v they_o be_v call_v natural_a by_o io._n de_fw-la sacro_fw-la bosco_fw-la and_o temporal_a and_o artificial_a and_o planetary_a they_o be_v define_v to_o be_v the_o space_n of_o time_n wherein_o the_o moiety_n of_o a_o sign_n of_o the_o zodiac_n count_v from_o the_o place_n of_o the_o ☉_o or_o the_o opposite_a thereof_o do_v ascend_v their_o number_n be_v as_o much_o by_o day_n as_o by_o night_n for_o 6._o sign_n of_o the_o ecl._n do_v always_o arise_v aswell_o by_o day_n as_o by_o night_n the_o hour_n that_o be_v reckon_v in_o the_o equator_fw-la which_o arise_v uniformelie_o be_v call_v equal_a hour_n whereof_o we_o be_v in_o like_a manner_n to_o note_v the_o name_n the_o definition_n and_o the_o number_n they_o be_v call_v natural_a by_o many_o and_o equinoctial_a hour_n they_o be_v define_v to_o be_v that_o space_n of_o time_n wheâ—_n in_o 15_o gr_n of_o the_o equator_fw-la do_v full_o arise_v their_o number_n be_v always_o inequal_a save_v in_o the_o 2._o equinoctial_a season_n for_o at_o other_o time_n 6._o sign_n of_o the_o equator_fw-la do_v not_o everye_o day_n complete_o arise_v and_o set_v of_o the_o diverse_a accident_n of_o diverse_a part_n of_o the_o earth_n according_a to_o the_o diverse_a situation_n of_o the_o sphere_n chap._n 39_o the_o situation_n of_o every_o place_n and_o region_n on_o the_o earth_n be_v in_o the_o space_n either_o of_o the_o burn_v or_o temperate_a or_o freeze_a zone_n the_o place_n situate_v in_o the_o burn_a zone_n be_v either_o in_o the_o mean_a space_n or_o between_o mean_a &_o extreme_a or_o in_o the_o extreme_n their_o situation_n that_o be_v in_o the_o mean_a space_n differ_v from_o the_o rest_n 1._o in_o the_o 4._o sort_n of_o shadow_n which_o they_o have_v viz._n septentrional_a meridional_a oriental_a and_o occidental_a 2._o in_o their_o 4._o solstice_n which_o they_o have_v two_o be_v high_a in_o ♈_o &_o ♎_o and_o two_o low_a in_o ♋_o &_o ♑_o 3._o in_o their_o continual_a equinoctialle_n 4._o in_o their_o two_o winter_n and_o two_o somers_n those_o that_o have_v their_o
l._n that_o be_v the_o answer_n â—ust_z be_z be_v great_a than_o the_o singular_a â—â—umber_n i_o thereby_o understand_v that_o 3_o â—â—e_v least_o of_o my_o relative_n must_v be_v the_o divisor_n for_o which_o cause_n i_o set_v the_o number_n as_o follow_v take_v instead_o of_o ¾_n its_o decimal_n so_o that_o the_o answer_n be_v 59_o l._n 3sh_o 4d_o you_o see_v i_o first_o multiply_v the_o coefficient_o &_o then_o divide_v the_o product_n by_o 3_o the_o divisor_n so_o have_v i_o the_o answer_n you_o may_v convert_v the_o question_n and_o so_o prove_v your_o work_n thus_o 2d_o example_n if_o 17¾_n ell_n cost_v 59_o l._n 3sh_o 4d_o what_o will_v 3_o ell_n cost_v you_o see_v in_o the_o division_n that_o i_o ought_v to_o have_v 3_o figure_n in_o my_o quotient_n as_o the_o point_n intimate_v of_o which_o one_o ought_v to_o be_v a_o decimal_n but_o that_o be_v a_o cypher_n i_o do_v not_o think_v it_o necessary_a to_o set_v it_o down_o 3d._a example_n at_z 3_o sh_z 4½_n d._n per_fw-la lib._n what_o will_v lib._n of_o any_o thing_n come_v to_o the_o decimal_n for_o 3_o sh_n 4_o penny_n be_v and_o that_o for_o ½_n d._n so_o that_o 3_o sh_z 4½_n d._n be_v then_o conform_v to_o the_o rule_n the_o lesson_n will_v stand_v as_o follow_v you_o see_v in_o the_o lesson_n there_o be_v no_o division_n because_o the_o divisor_n be_v a_o unite_n four_o example_n if_o 345½_n ell_n cost_v 58_o l._n 6_o sh_n o_o ¾_n d._n what_o will_v one_o ell_n cost_v in_o this_o example_n you_o see_v that_o one_o of_o the_o coefficient_o be_v a_o unite_n there_o be_v no_o multiplication_n 5_o example_n if_o ¾_n ell_n cost_v â…˜_n lib._n what_o will_v â…š_n ell_n cost_n answ_n 18_o sh_n 3_o ¼_n d._n &_o some_o little_a more_o because_o the_o last_o dividual_a be_v the_o same_o the_o quotient_n be_v infinite_a in_o this_o last_o example_n the_o decimal_a oâ—_n â…š_n be_v infinite_a the_o product_n of_o the_o dash'â—_n figure_n be_v reckon_v on_o the_o segment_n but_o the_o product_n of_o all_o the_o rest_n be_v reckon_v on_o the_o integer-circle_n item_n because_o the_o dividend_n be_v infinite_a in_o prolongation_n of_o the_o work_n i_o have_v reiterated_a the_o last_o figure_n 6_o epample_n at_o 5½_n per_fw-mi cent_z what_o will_v 347_o lib._n 13_o sh_n 4_o d._n pay_v per_fw-la annum_fw-la in_o this_o lesson_n observe_v that_o though_o all_o the_o number_n be_v of_o one_o denomination_n or_o kind_n of_o thing_n yet_o the_o 5½_n l._n fall_v under_o a_o different_a notion_n to_o wit_n that_o of_o interest_n whereas_o the_o other_o two_o to_o wit_n the_o cent._n or_o 100_o and_o 347_o l._n 13_o sh_n 4_o d._n be_v principal_a sum_n the_o 5½_n be_v the_o singular_a number_n and_o so_o 100_o be_v the_o divisor_n in_o this_o you_o have_v 6_o decimal_n in_o the_o answer_n to_o wit_n four_o for_o those_o of_o the_o coefficient_o and_o two_o for_o the_o cipher_n of_o the_o divisor_n seven_o example_n at_z 4_o sh_z 10½_n per_fw-la crown_n how_o many_o pound_n sterl_n must_v one_o have_v for_o 758½_n crown_n answer_v 184_o lib._n 17_o sh_n 8¼_n d._n 8_o example_n if_o 40_o man_n be_v able_a to_o finish_v a_o piece_n of_o work_n in_o 8_o day_n how_o many_o may_v do_v the_o same_o in_o 5_o day_n here_o because_o the_o answer_n ought_v to_o be_v great_a than_o the_o singular_a number_n 5_o the_o last_o of_o the_o relative_n be_v the_o divisor_n and_o so_o you_o be_v free_a from_o the_o cumbersome_a reflection_n on_o a_o reverse_n rule_n 9_o example_n if_o the_o penny_n loaff_n aught_o to_o weigh_v 18_o ounce_n when_o the_o wheat_n sell_v at_o 10_o sh_n sterling_n per_fw-la boll_n what_o ought_v the_o same_o to_o weigh_v when_o the_o wheat_n sell_v at_o 15_o sh_n per_fw-la boll_n in_o question_n of_o 5_o number_n you_o have_v for_o the_o most_o part_n two_o pair_n of_o relative_n and_o but_o one_o singnlar_a number_n wherefore_o you_o may_v take_v any_o one_o of_o the_o pair_n of_o 〈◊〉_d with_o the_o singular_a number_n to_o find_v the_o first_o answer_n and_o that_o answer_n will_v serve_v for_o a_o singular_a number_n for_o the_o other_o pair_n of_o relative_n in_o find_v the_o last_o answer_n 9th_o example_n at_z 5_o per_fw-mi cent_z per_fw-la annum_fw-la what_o will_v 197_o l._n 15_o sh_n 8_o d._n come_v to_o in_o 7_o year_n in_o this_o the_o relative_n be_v 100_o l._n and_o 197_o l._n 15_o sh_n 8_o d._n for_o the_o first_o pair_n and_o 1_o year_n and_o 7_o year_n for_o the_o 2_o d._n pair_n and_o 5_o be_v the_o singular_a so_o that_o the_o answer_n be_v 76_o l._n 12_o sh_n 9½_n d._n and_o very_o little_o more_o 10_o example_n at_o 2_o dollar_n per_fw-la l._n flemish_n exchange_n at_o 35â…š_n sh_z flemish_n per_fw-la l._n st._n how_o many_o l._n stir_v will_v 666â…”_n dollar_n come_v to_o in_o this_o division_n find_v my_o 3_o d._n dividual_a the_o same_o with_o the_o 2_o d._n and_o because_o of_o the_o reiterated_a figure_n of_o the_o dividend_n understand_v that_o it_o will_v always_o be_v the_o same_o in_o infinitum_fw-la i_o therefore_o reiterate_v the_o 2_o d._n of_o my_o figure_n in_o the_o quotient_a to_o wit_n 6_o till_o i_o have_v five_o figure_n in_o all_o as_o the_o dividual-point_n intimate_v and_o see_v i_o have_v 3_o decimal_n in_o my_o dividend_n and_o but_o one_o in_o my_o divisor_n i_o understand_v that_o the_o last_o two_o of_o my_o five_o figure_n in_o the_o quotient_a must_v be_v decimal_n and_o the_o dash_v figure_n be_v add_v because_o as_o have_v be_v already_o say_v infinite_n can_v be_v limit_v under_o decimal_n three_o so_o that_o my_o 666â…”_n dollar_n make_v just_a 266_o l._n 13_o sh_n 4_o d._n flem._n for_o my_o first_o answer_n and_o this_o must_v be_v one_o of_o the_o coefficient_o for_o the_o 2_o d._n operation_n because_o in_o this_o we_o have_v now_o two_o parcel_n of_o flemish_a money_n and_o but_o one_o l._n sterl_n in_o this_o last_o operation_n the_o three_o dividual_a viz._n 0000_o being_n less_o than_o the_o divisor_n i_o put_v 0_o in_o my_o quotient_n and_o so_o the_o answer_n be_v 150_o lib._n stir_v 11_o example_n at_o 5_o l._n 10_o sh_n per_fw-mi cent_z per_fw-mi a_o what_o will_v the_o interest_n of_o 756_o l._n 13_o sh_n 4_o d._n amount_v to_o in_o 7_o year_n and_o 7_o month_n vide._n my_o compend_n system_fw-la anent_o multiplicati-l_a in._n =_o on_o with_o a_o infinite_a in_o both_o coefficient_o the_o answer_n be_v 317_o l._n 11_o sh_n 10_o ½_n d._n very_o near_o 12_o example_n interest_n at_o 5_o ½_n per_fw-la cent._n what_o will_v 456_o l._n 13_o sh_n 4_o d._n payable_a 3_o year_n hence_o be_v worth_a in_o present_a money_n add_v this_o interest_n to_o its_o principal_n and_o the_o 2_o d._n operation_n will_v stand_v thus_o ans_fw-fr 378_o l_o 11_o sh_z 8_o d._n &_o less_o than_o ¼_n d._n more_o i_o shall_v conclude_v with_o a_o example_n of_o unequal_a division_n which_o may_v be_v very_o useful_a in_o fellowship_n 13_o example_n there_o be_v to_o be_v divide_v among_o 14_o man_n 458_o l._n 5_o sh_n 11_o d._n with_o proviso_n that_o 9_o of_o the_o number_n who_o stock_n or_o hazard_n be_v equull_a have_v equal_a share_n but_o the_o other_o 5_o be_v to_o have_v one_o of_o they_o ½_n share_v another_o â…“_n another_o ¼_n another_o â…™_n another_o â…š_n of_o a_o equal_a share_n the_o equal_a share_n and_o consequent_o the_o several_a fraction_n of_o the_o equal_a share_n be_v demand_v in_o this_o you_o must_v add_v the_o decimal_n of_o the_o several_a fraction_n in_o the_o question_n to_o 9_o and_o so_o you_o will_v find_v your_o divisor_n to_o be_v and_o not_o 14_o thus_o the_o sum_n of_o of_o all_o which_o be_v hence_o the_o question_n must_v be_v thus_o state_v if_o any_o difficulty_n occur_v in_o these_o lesson_n it_o may_v be_v easy_o overcome_v and_o at_o a_o very_a reasonable_a rate_n by_o a_o little_a converse_n with_o the_o author_n finis_fw-la errata_fw-la page_n 20_o line_n 4._o read_v 8_o for_o 6._o p._n 32._o l._n 8._o r._n 9276._o for_o 8276._o in_o the_o end_n of_o the_o product_n also_o the_o example_n page_n 38._o be_v only_o disorderly_o set_v â—r_o the_o 9_o of_o the_o quotient_a aught_o to_o stand_v under_o the_o 2d_o of_o the_o dividend_n and_o the_o rest_n in_o order_n at_o edinburgh_n the_o twenty_o eight_o day_n of_o november_n one_o thousand_o six_o hundred_o ninety_o nine_o year_n the_o lord_n of_o his_o majesty_n privy_a council_n have_v by_o their_o act_n of_o the_o first_o of_o december_n one_o thousand_o six_o hundred_o ninety_o eight_o year_n grant_v to_o mr._n george_n brown_a minister_n and_o his_o heir_n and_o assign_v be_v the_o sole_a privilege_n of_o frame_v make_v and_o sell_v his_o instrument_n call_v rotula_fw-la
arâ—â—metica_fw-la for_o the_o space_n of_o fourten_n year_n freâ—â—_n the_o day_n and_o date_n of_o the_o say_v act._n and_o discharge_v any_o other_o person_n to_o make_v and_o sell_v the_o say_a instrument_n during_o the_o space_n foresay_a without_o express_a liberty_n and_o licence_n from_o the_o say_a mr_n george_n and_o his_o foresaid_n under_o the_o pain_n of_o five_o hunâ—â—ed_a mark_n beside_o the_o confiscation_n of_o the_o rotvla_n mouse_n or_o sâ—ld_n the_o say_v lord_n of_o his_o majestic_o â—ivie_a conncil_n doâ—ereby_o â—ereby_z discharge_v the_o impert_n of_o the_o say_a instrument_n or_o rotula_n during_o the_o space_n foresay_a alse_a well_o as_o the_o make_n or_o sell_v thereof_o under_o the_o say_a pain_n of_o five_o founder_v mark_n 〈◊〉_d the_o consâ—â—cation_n of_o the_o infirâ—ments_n or_o rotvla_n import_v also_o well_o as_o these_o make_v or_o sold._n and_o declare_v this_o present_a act_n to_o the_o commence_v from_o the_o date_n of_o the_o former_a act_n which_o be_v the_o first_o day_n of_o december_n one_o theâ—â—â—nd_n sâ—_n hâ—nared_v nintâ—e_v light_a year_n extract_v by_o i_o sic_fw-la subscribitur_fw-la gilb._n eliot_n cls._n sti._n cons_n the_o principle_n of_o geometry_n astronomy_n and_o geographie_n wherein_o be_v brief_o evident_o and_o methodical_o deliner_v whatsoever_o appertain_v unto_o the_o knowledge_n of_o the_o say_a science_n gather_v out_o of_o the_o table_n of_o the_o astronomical_a institution_n of_o georgius_n henischius_n by_o francis_n cook_n appoint_v publiquelye_o to_o be_v read_v in_o the_o stapler_n chapel_n at_o leaden_a hall_n by_o the_o wor._n tho._n hood_n mathematical_a lecturer_n of_o the_o city_n of_o london_n at_o london_n print_v by_o john_n windet_n and_o be_v to_o be_v sell_v in_o mark_n lane_n oner_n against_o the_o sign_n of_o the_o red_a harrow_n at_o the_o house_n of_o francis_n cook_n to_o the_o worshipful_a well-willer_n and_o practiser_n of_o the_o mathematics_n m._n bernard_n dewhurst_n your_o courtesy_n worshipful_a inexpected_a have_v bring_v i_o very_o far_o in_o arrearage_n with_o you_o and_o i_o have_v think_v the_o time_n over_o long_o until_o in_o some_o sort_n i_o may_v break_v silence_n and_o say_v so_o but_o better_a late_o than_o never_o as_o the_o proverb_n go_v and_o yet_o perhaps_o as_o good_a not_o at_o all_o as_o not_o as_o it_o shall_v be_v i_o have_v intend_v many_o way_n according_a to_o the_o courage_n of_o a_o scholar_n to_o be_v even_o with_o you_o or_o at_o least_o to_o show_v some_o sign_n of_o gratitude_n but_o it_o will_v not_o be_v and_o therefore_o have_v i_o rest_v so_o long_o upon_o hope_n of_o some_o sit_v opportunity_n which_o now_o be_v fit_o offer_v i_o have_v according_o take_v hold_v of_o i_o present_v therefore_o this_o little_a book_n unto_o your_o wor._n little_a i_o mean_v in_o body_n but_o full_a of_o substance_n and_o matter_n according_a to_o the_o commendation_n which_o the_o poet_n give_v to_o tydeus_n the_o father_n of_o diomedes_n and_o that_o be_v that_o tydeuâ—_n ingenio_fw-la magnus_fw-la corpore_fw-la paruus_fw-la erat_fw-la a_o little_a fellow_n but_o full_a of_o edge_n i_o commend_v it_o unto_o your_o worâ—_n although_o the_o praise_n thereof_o shall_v rather_o proceed_v from_o itself_o then_o from_o i_o unless_o i_o can_v praise_v it_o worthy_o enough_o i_o find_v it_o else_o where_o and_o otherwise_o attire_v and_o my_o labour_n and_o charge_n be_v only_o in_o this_o that_o i_o have_v bestow_v thereon_o a_o new_a coat_n after_o our_o english_a fashion_n observe_v the_o matter_n only_o alter_v the_o manner_n accept_v it_o i_o pray_v you_o none_o otherwise_o than_o i_o mean_v it_o not_o as_o a_o gift_n worthy_a enough_o but_o as_o some_o little_a sign_n of_o a_o thankful_a mind_n which_o according_a as_o power_n shall_v be_v answerable_a unto_o any_o good_a occasion_n i_o will_v more_o manifest_o declare_v in_o some_o great_a matter_n your_o worship_n whole_o f._n cook_n to_o the_o learned_a and_o worshipful_a tho._n hood_n mathematical_a lecturer_n of_o the_o city_n of_o london_n among_o many_o your_o scholar_n who_o diligence_n have_v make_v they_o more_o able_a i_o have_v adventure_v to_o put_v forward_o myself_o be_v of_o all_o other_o most_o unfit_a and_o insufficient_a my_o purpose_n herein_o be_v not_o the_o gain_n of_o my_o own_o commendation_n but_o to_o communicate_v that_o with_o other_o which_o i_o find_v beneficial_a unto_o myself_o the_o commendation_n be_v whole_o you_o from_o who_o as_o from_o the_o sun_n we_o receive_v as_o in_o these_o exercise_n all_o the_o light_n we_o have_v and_o hereunto_o may_v be_v add_v another_o cause_n of_o this_o my_o bold_a enterprise_n namely_o that_o other_o who_o be_v better_o furaish_v may_v by_o my_o example_n be_v a_o novice_n in_o these_o study_n make_v proof_n unto_o the_o world_n that_o your_o labour_n be_v not_o in_o vain_a but_o that_o there_o be_v many_o which_o have_v great_o profit_v thereby_o and_o which_o in_o due_a time_n i_o hope_v will_v break_v forth_o both_o to_o the_o great_a commodity_n of_o the_o common_a wealth_n and_o commendation_n and_o credit_n of_o the_o mathematical_a lecture_n take_v in_o good_a part_n i_o pray_v you_o these_o my_o first_o fruit_n of_o your_o own_o plant_n and_o make_v favourable_a construction_n thereof_o correct_v the_o fault_n and_o pardon_v my_o boldness_n your_o scholar_n in_o this_o ease_n more_o forward_o than_o able_a f._n cook_n to_o the_o love_a and_o diligent_a auditor_n of_o the_o mathematical_a lecture_n gentleman_n and_o goodsellowe_n and_o to_o loin_n you_o both_o in_o one_o man_n and_o school-fellowe_n i_o have_v as_o you_o see_v adventure_v to_o she_o although_o both_o fit_v with_o the_o feather_n of_o another_o and_o lie_v but_o a_o low_a pitch_n for_o want_v of_o wing_n if_o i_o shall_v see_v i_o to_o any_o of_o you_o too_o forward_o i_o crave_v lâ—s_fw-fr pardon_n it_o be_v my_o first_o salt_n i_o mean_v no_o â—urt_n if_o any_o man_n 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