irregularity_n in_o its_o motion_n be_v ascribable_a to_o its_o parallax_n and_o this_o will_v be_v so_o much_o the_o easy_a because_o the_o examination_n and_o reduction_n of_o it_o may_v be_v do_v with_o as_o great_a exactness_n as_o the_o observation_n can_v be_v make_v by_o the_o help_n only_o of_o ruler_n and_o compass_n for_o all_o the_o distance_n will_v be_v set_v off_o by_o equal_a division_n of_o straight_a line_n the_o line_n also_o of_o the_o periodic_a motion_n whether_o of_o the_o comet_n or_o planet_n especial_o if_o the_o observation_n be_v make_v when_o the_o body_n be_v near_o a_o opposition_n with_o the_o sun_n which_o be_v much_o the_o best_a time_n will_v be_v with_o sufficient_a exactness_n take_v for_o a_o straight_a line_n and_o the_o motion_n in_o that_o line_n may_v be_v suppose_v by_o equal_a space_n in_o equal_a time_n for_o the_o difference_n between_o the_o tangent_n of_o the_o centesm_n of_o a_o degree_n to_o two_o degree_n be_v not_o increase_v much_o more_o than_o 2_o 1745_o that_o be_v not_o a_o quarter_n of_o a_o centesm_n of_o the_o hundred_o part_n of_o a_o degree_n which_o be_v much_o more_o exact_a than_o i_o fear_v our_o observation_n will_v ever_o be_v another_o way_n of_o find_v the_o parallax_n may_v be_v by_o the_o help_n of_o exact_a observation_n make_v by_o several_a person_n at_o the_o same_o time_n in_o place_n much_o differ_v in_o latitude_n though_o as_o near_o as_o may_v be_v under_o the_o same_o meridian_n because_o of_o save_v the_o trouble_n of_o calculation_n and_o for_o be_v assure_v that_o the_o observation_n be_v both_o make_v exact_o at_o the_o same_o time_n each_o person_n by_o the_o help_n of_o very_o long_a telescope_n observe_v the_o exact_a distance_n of_o the_o body_n from_o the_o small_a fix_a star_n next_o adjoin_v a_o three_o way_n of_o find_v the_o parallax_n of_o comet_n be_v whole_o new_a and_o though_o hypothetical_a as_o suppose_v the_o annual_a motion_n of_o the_o earth_n and_o the_o motion_n of_o the_o comet_n in_o a_o right_a line_n through_o equal_a space_n in_o equal_a time_n yet_o it_o be_v found_v upon_o a_o problem_n in_o geometry_n invent_v by_o the_o incomparable_a mathematician_n doctor_n c._n wren_n which_o be_v true_o noble_a and_o whole_o new_a and_o though_o it_o have_v be_v of_o no_o use_n in_o astronomy_n deserve_v none_o of_o the_o mean_a place_n in_o geometry_n by_o the_o help_n of_o which_o which_o be_v much_o more_o than_o either_o of_o the_o other_o way_n be_v capable_a of_o one_o may_v easy_o find_v the_o true_a parallax_n of_o the_o comet_n from_o any_o four_o exact_a observation_n of_o it_o make_v at_o differ_v time_n in_o the_o same_o place_n nor_o do_v it_o require_v so_o nice_a and_o accurate_a instrument_n and_o observator_n as_o be_v altogether_o necessary_a in_o the_o other_o way_n the_o problem_n as_o i_o receive_v it_o be_v this_o problema_fw-la datis_n quatuor_fw-la lineis_fw-la vicunque_fw-la ductis_fw-la quarum_fw-la nec_fw-la tres_fw-la sunt_fw-la parallelae_fw-la neque_fw-la ab_fw-la eodem_fw-la puncto_fw-la ductae_fw-la quintam_fw-la ducere_fw-la quae_fw-la à _fw-la quatuor_fw-la primo_fw-la datis_fw-la in_o tres_fw-la part_n secetur_fw-la ratione_fw-la &_o positione_n datas_fw-la sint_fw-la in_o figuris_fw-la 13_o 14_o 15_o 16_o 17_o &_o 18_o quatuor_fw-la rectae_fw-la adc_fw-la bec_n ae_n bd_o productae_fw-la versus_fw-la k_o γ_n φ_n m_o oportet_fw-la quintam_fw-la ducere_fw-la ut_fw-la km_fw-la quae_fw-la secetur_fw-la à _fw-la primo_fw-la datis_fw-la in_o segmenta_fw-la kn_n no_o om_o secundum_fw-la datas_fw-la rationes_fw-la r_o s_o t._n fiat_n ut_fw-la r_n ad_fw-la s_o t_o simul_fw-la sumptas_fw-la ita_fw-la cd_o ad_fw-la cf._n rursus_fw-la ut_fw-la t_o ad_fw-la s_o r_o simul_fw-la sumptas_fw-la ita_fw-la aec_fw-la ad_fw-la cg_n ductis_fw-la autens_fw-la agh_o bfh_o à _fw-la mutua_fw-la intersectione_n h_n ducantur_fw-la h_n γ_n k_o h_n φ_n m_o parallelae_fw-la nimirum_fw-la lineis_fw-la ac_fw-la bc_n quae_fw-la mediae_fw-la interjacent_a inter_fw-la extremas_fw-la bd_o ae_n denique_fw-la inter_fw-la puncta_fw-la extremarum_fw-la km_fw-la ducatur_fw-la recta_fw-la secans_fw-la medias_fw-la in_o no_z dico_fw-la segmenta_fw-la kn_n no_o om_o esse_fw-la in_o data_fw-la ratione_fw-la rst_n quoniam_fw-la fd_n parallela_fw-la est_fw-la ipsi_fw-la hk_n ergo_fw-la ut_fw-la cd_o ad_fw-la cf_n ita_fw-la k_o γ_n ad_fw-la γ_n h_n &_o quoniam_fw-la γ_n n_n parallela_fw-la est_fw-la ipsi_fw-la he_o ergo_fw-la ut_fw-la k_o γ_n ad_fw-la γ_n h_n ita_fw-la kn_n ad_fw-la nm_fw-la ergo_fw-la ut_fw-la kn_n ad_fw-la nm_fw-la ita_fw-la cd_o ad_fw-la cf_n say_v cd_o ad_fw-la cf_n est_fw-la ut_fw-la r_o ad_fw-la s_o t_o simul_fw-la sumptas_fw-la ergo_fw-la kn_n est_fw-la ad_fw-la nm_fw-la ut_fw-la r_n ad_fw-la st_n simul_fw-la sumptas_fw-la similiter_fw-la quoniam_fw-la eglantine_n parallela_fw-la est_fw-la ipsi_fw-la mh_o &_o φ_n o_o ipsi_fw-la hk_n demonstratur_fw-la more_n esse_fw-la ad_fw-la ok_n ut_fw-la t_n ad_fw-la s_o r_o simul_fw-la sumptas_fw-la quare_fw-la tres_fw-la kn_n no_o om_o erunt_fw-la ad_fw-la inuicem_fw-la ut_fw-la r_n s_o t_o ergo_fw-la ducitur_fw-la linea_fw-la km_fw-la cujus_fw-la tria_fw-la segmenta_fw-la à _fw-la quatuor_fw-la lineis_fw-la datis_fw-la intercepta_fw-la sunt_fw-la in_o data_fw-la ratione_fw-la r_n s_o t_o &_o servata_fw-la quidem_fw-la positione_n sive_fw-la rationum_fw-la ordine_fw-la r_n s_o t_o quod_fw-la erat_fw-la faciendum_fw-la from_o the_o invention_n of_o which_o problem_n it_o will_v be_v very_o easy_a by_o any_o four_o observation_n graphical_o to_o describe_v or_o geometrical_o to_o calculate_v the_o true_a distance_n of_o the_o line_n of_o the_o trajection_n of_o the_o comet_n and_o consequent_o to_o answer_v all_o those_o question_n that_o can_v be_v demand_v concern_v the_o bigness_n of_o the_o body_n and_o head_n and_o concern_v the_o bigness_n and_o length_n of_o the_o blaze_n and_o concern_v the_o distance_n of_o it_o from_o the_o earth_n in_o every_o part_n of_o its_o way_n when_o it_o be_v near_a the_o earth_n when_o near_o the_o sun_n where_o it_o cut_v the_o plain_a of_o the_o ecliptic_a see_v from_o the_o sun_n and_o where_o see_v from_o the_o earth_n with_o what_o angle_n it_o be_v incline_v to_o the_o say_a plain_n how_o swift_a the_o motion_n be_v that_o be_v what_o length_n it_o pass_v in_o what_o time_n when_o it_o must_v appear_v stationary_a when_o retrograde_a when_o disappear_z and_o the_o like_a according_a to_o this_o method_n i_o receive_v at_o the_o same_o time_n whilst_o it_o yet_o appear_v very_o visible_a to_o the_o eye_n and_o be_v not_o retrograde_a the_o way_n of_o the_o first_o comet_n delineate_v by_o the_o say_a person_n which_o do_v very_o near_o solve_v all_o the_o appearance_n precede_v and_o subsequent_a which_o i_o have_v therefore_o here_o annex_v in_o the_o table_n express_v in_o the_o 19.20_o and_o 21._o figure_n where_o in_o the_o 19_o be_v delineate_v the_o place_n of_o the_o sun_n in_o the_o centre_n of_o the_o circle_n ♈_o n_o d_o i_o ♎_o which_o represent_v the_o annual_a orb_n of_o the_o earth_n about_o the_o sun_n the_o point_n between_o n_n and_o d_o represent_v the_o place_n of_o the_o earth_n in_o that_o orbit_n in_o the_o day_n of_o november_n and_o the_o line_n draw_v from_o they_o to_o the_o point_n in_o the_o straight_a line_n represent_v the_o line_n in_o which_o the_o comet_n appear_v in_o respect_n to_o the_o sun_n in_o like_a manner_n the_o point_n between_o d_o and_o i_o the_o place_n of_o the_o earth_n in_o december_n and_o the_o line_n draw_v from_o they_o to_o the_o straight_a line_n as_o before_o the_o visible_a place_n of_o the_o comet_n at_o those_o time_n etc._n etc._n the_o 20._o figure_n represent_v single_o the_o several_a longitude_n of_o the_o comet_n at_o several_a time_n see_v from_o the_o earth_n and_o the_o 21._o represent_v the_o several_a latitude_n at_o the_o several_a time_n together_o with_o the_o true_a distance_n of_o the_o comet_n at_o those_o time_n both_o which_o be_v make_v out_o of_o the_o 19_o figure_n where_o e_z at_o the_o end_n of_o the_o line_n represent_v the_o centre_n of_o the_o earth_n from_o which_o to_o the_o figure_n in_o the_o prick_a curve-line_n be_v the_o true_a distance_n of_o the_o comet_n the_o perpendicular_o from_o those_o figure_n to_o the_o line_n e_o c_o be_v the_o sign_n of_o the_o latitude_n of_o the_o comet_n from_o the_o plane_n of_o the_o ecliptic_a e_o c_o the_o aforesaid_a distance_n be_v make_v the_o radii_fw-la now_o though_o according_a to_o my_o former_a delineation_n the_o comet_n seem_v to_o take_v a_o circuit_n as_o if_o it_o will_v within_o three_o year_n return_n to_o its_o former_a position_n yet_o i_o be_o not_o whole_o convince_v that_o it_o move_v in_o a_o circle_n or_o ellipse_n but_o i_o rather_o incline_v to_o the_o incomparable_a keplers_n opinion_n that_o its_o natural_a motion_n tend_v towards_o a_o straight_a line_n though_o in_o some_o other_o supposition_n i_o differ_v from_o he_o as_o first_o that_o the_o comet_n
four_o as_o the_o root_n of_o 64._o that_o be_v of_o 19+17+15+13_n at_o the_o end_n of_o the_o ten_o or_o whole_a as_o the_o root_n of_o 100_o that_o be_v as_o equal_a to_o 100_o now_o since_o the_o velocity_n be_v in_o the_o same_o proportion_n to_o the_o root_n of_o the_o space_n as_o the_o root_n of_o the_o space_n be_v to_o the_o time_n it_o be_v easy_a to_o determine_v the_o particular_a time_n in_o which_o every_o one_o of_o these_o space_n be_v pass_v for_o divide_v the_o space_n by_o the_o velocity_n correspond_v the_o quotient_n give_v the_o particular_a time_n to_o explain_v this_o more_o intelligible_o let_v a_o in_o the_o four_o figure_n represent_v the_o end_n of_o a_o spring_n not_o bend_v or_o at_o least_o counterpoise_v in_o that_o posture_n by_o a_o power_n fix_v to_o it_o and_o movable_a with_o it_o draw_v the_o line_n a_o b_o c_o and_o let_v it_o represent_v the_o way_n in_o which_o the_o end_n of_o the_o spring_n by_o additional_a power_n be_v to_o be_v move_v draw_v to_o the_o end_n of_o it_o c_o at_o right_a angle_n the_o line_n c_o δ_n d_o d_o and_o let_v c_o d_o represent_v the_o power_n that_o be_v sufficient_a to_o bend_v or_o move_v the_o end_n of_o the_o spring_n a_o to_o c_o then_o draw_v the_o line_n d_o a_o and_o from_o any_o point_n of_o the_o line_n a_o c_o as_o b_o b._n draw_v line_n parallel_v to_o c_o d_o cut_v the_o line_n d_o a_o in_o e_o e_o the_o line_n b_o e_o b_o e_o will_v represent_v the_o respective_a power_n requisite_a to_o bend_v the_o end_n of_o the_o spring_n a_o to_o b_o which_o line_n b_o e_z b_o e_o c_o d_o will_n be_v in_o the_o same_o proportion_n with_o the_o length_n of_o the_o bent_n of_o the_o spring_n a_o b_o a_o b_o a_o c._n and_o because_o the_o spring_n have_v in_o every_o point_n of_o the_o line_n of_o bend_v a_o c_o a_o particular_a power_n therefore_o imagine_v infinite_a line_n draw_v from_o every_o point_n of_o a_o c_o parallel_n to_o c_o d_o till_o they_o touch_v the_o line_n a_o d_o they_o will_v all_o of_o they_o fill_v and_o compose_v the_o triangle_n a_o c_o d._n the_o triangle_n therefore_o a_o c_o d_o will_n represent_v the_o aggregate_v of_o the_o power_n of_o the_o spring_n bend_v from_o a_o to_o c_o and_o the_o lesser_a triangle_n a_o b_o e_o a_o b_o e_o will_n represent_v the_o aggregate_v of_o all_o the_o power_n of_o the_o spring_n bend_v from_o a_o to_o b_o b_o and_o the_o spring_n bend_v to_o any_o point_n of_o the_o line_n a_o c_o and_o let_v go_v from_o thence_o will_v exert_v in_o its_o return_n to_o a_o all_o those_o power_n which_o be_v equal_a to_o the_o respective_a ordinates_n b_o e_o b_o e_o in_o the_o triangle_n the_o sum_n of_o all_o which_o make_v up_o the_o triangle_n a_o b_o e_o a_o b_o e._n and_o the_o aggregate_v of_o the_o power_n with_o which_o it_o return_v from_o any_o point_n as_o from_o c_o to_o any_o point_n of_o the_o space_n c_o a_o as_o to_o b_o b_o be_v equal_a to_o the_o trapezium_fw-la c_o d_o e_o b_o c_o d_o e_o b_o or_o the_o excess_n of_o the_o great_a triangle_n above_o the_o less_o have_v therefore_o show_v a_o image_n to_o represent_v the_o flexure_n and_o the_o power_n so_o as_o plain_o to_o solve_v and_o answer_v all_o question_n and_o problem_n concern_v they_o in_o the_o next_o place_n i_o come_v to_o represent_v the_o velocity_n appropriate_v to_o the_o several_a power_n the_o velocity_n then_o be_v always_o in_o a_o subduplicate_v proportion_n of_o the_o power_n that_o be_v as_o the_o root_n of_o the_o power_n impress_v and_o the_o power_n impress_v be_v as_o the_o trapezium_fw-la or_o the_o excess_n of_o the_o triangle_n or_o square_n of_o the_o whole_a space_n to_o be_v pass_v above_o the_o square_n of_o the_o space_n yet_o unpassed_a if_o upon_o the_o centre_n a_o and_o space_n a_o c_o c_z being_z the_o point_n from_o which_o the_o spring_n be_v suppose_v let_v go_v a_o circle_n be_v describe_v as_o c_o g_o g_o f_o and_o ordinates_n draw_v from_o any_o point_n of_o c_o a_o the_o space_n to_o be_v past_a as_o from_o b_o b_o to_o the_o say_a circle_n as_o b_o g_z b_o g_o these_o line_n b_o g_z b_o g_o will_v represent_v the_o velocity_n of_o the_o spring_n return_v from_o c_o to_z b_o b_o etc._n etc._n the_o say_v ordinates_n being_n always_o in_o the_o same_o proportion_n with_o the_o root_n of_o the_o trapezium_n c_o d_o e_o b_o c_o d_o e_o b_o for_o putting_z a_o c_o =_o to_o a_o and_o a_o b_o =_o b_o b_o g_o will_n always_o be_v equal_a to_o the_o square_a of_o the_o ordinate_a be_v always_o equal_a to_o the_o rectangle_n of_o the_o intercept_a part_n of_o the_o diameter_n have_v thus_o find_v the_o velocity_n to_o wit_n b_o g_o b_o g_o a_o f_o to_o find_v the_o time_n correspond_v on_o the_o diameter_n a_o c_o draw_v a_o parabola_fw-la c_o h_o f_o who_o vertex_fw-la be_v c_o and_o which_o pass_v through_o the_o point_n f._n the_o ordinates_n of_o this_o parabola_fw-la b_o h_n b_o h_n a_o f_o be_v in_o the_o same_o proportion_n with_o the_o root_n of_o the_o space_n c_o b_o c_o b_o c_o a_o then_z making_z g_z b_o to_z h_z b_o as_o h_z b_o to_z ay_o b_o and_o through_o the_o point_n c_o i_o i_o f_o draw_v the_o curve_v c_z i_o i_o i_o f_o the_o respective_a ordinates_n of_o this_o curve_v shall_v represent_v the_o proportionate_a time_n that_o the_o spring_n spend_v in_o return_v the_o space_n c_o b_o c_o b_o c_o a._n if_o the_o power_n or_o stiffness_n of_o the_o spring_n be_v great_a than_o what_o i_o before_o suppose_v and_o therefore_o must_v be_v express_v by_o the_o triangle_n c_o de_fw-fr a._n then_o the_o velocity_n will_v be_v the_o ordinates_n in_o a_o ellipse_n as_o c_o γ_n γ_n n_n great_a than_o the_o circle_n as_o it_o will_v also_o if_o the_o power_n be_v the_o same_o and_o the_o bulk_n move_v by_o the_o spring_n be_v less_o then_o will_v the_o s-like_a line_n of_o time_n meet_v with_o the_o line_n a_o f_o at_o a_o point_n as_o x_o within_o the_o point_n f._n but_o if_o the_o power_n of_o the_o spring_n be_v weak_a than_o i_o suppose_v then_o will_v c_o δ_n e_o e_o a_o represent_v the_o power_n and_o c_o γ_n γ_n o_o the_o ellipsis_n of_o velocity_n who_o ordinates_n b_o γ_n b_o γ_n a_o o_o will_v give_v the_o particular_a velocity_n and_o the_o s-like_a line_n of_o time_n will_v extend_v beyond_o n._n the_o same_o will_v happen_v suppose_v the_o body_n move_v by_o the_o spring_n to_o be_v proportionate_o heavy_a and_o the_o power_n of_o the_o spring_n the_o same_o with_o the_o first_o and_o suppose_v the_o power_n of_o the_o spring_n the_o same_o as_o at_o first_o bend_v only_o to_o b_o 2_o and_o from_o thence_o let_v go_v b_o 2_o e_z a_o be_v the_o triangle_n of_o its_o power_n the_o ordinates_n of_o the_o circle_n b_o g_o l_o be_v the_o line_n of_o its_o velocity_n and_o the_o ordinates_n of_o the_o s-like_a line_n b_o i_o f_o be_v the_o live_v of_o time_n have_v thus_o show_v you_o how_o the_o velocity_n of_o a_o spring_n may_v be_v compute_v it_o will_v be_v easy_a to_o calculate_v to_o what_o distance_n it_o will_v be_v able_a to_o shoot_v or_o throw_v any_o body_n that_o be_v move_v by_o it_o and_o this_o must_v be_v do_v by_o compare_v the_o velocity_n of_o the_o ascent_n of_o a_o body_n throw_v with_o the_o velocity_n of_o the_o descent_n of_o gravity_n allowance_n be_v also_o make_v for_o the_o resistance_n and_o impediment_n of_o the_o medium_n through_o which_o it_o pass_v for_o instance_n suppose_v a_o bow_n or_o spring_n fix_v at_o 16_o foot_n above_o a_o horizontal_n floor_n which_o be_v near_o the_o space_n that_o a_o heavy_a body_n from_o rest_n will_v descend_v perpendicular_o in_o a_o second_o of_o time_n if_o a_o spring_n deliver_v the_o body_n in_o the_o horizontal_n line_n with_o a_o velocity_n that_o move_v it_o 16_o foot_n in_o a_o second_o of_o time_n then_o shall_v it_o fall_v at_o 16_o foot_n from_o the_o perpendicular_a point_n on_o the_o floor_n over_o which_o it_o be_v deliver_v with_o such_o velocity_n and_o by_o its_o motion_n shall_v describe_v in_o the_o air_n or_o space_n through_o which_o it_o pass_v a_o parabola_fw-la if_o the_o spring_n be_v bend_v to_o twice_o the_o former_a tension_n so_o as_o to_o deliver_v the_o body_n with_o double_a the_o velocity_n in_o a_o horizontal_n line_n that_o be_v with_o a_o velocity_n that_o move_v 32_o foot_n in_o a_o second_o then_o shall_v the_o body_n touch_v the_o floor_n in_o a_o point_n very_o near_o at_o 32_o foot_n from_o the_o aforesaid_a perpendicular_a point_n and_o the_o
instrument_n to_o adjust_a it_o upon_o that_o frame_n the_o whole_a table_n and_o quadrant_n be_v so_o counterpoise_v as_o to_o be_v easy_o movable_a and_o fix_v in_o any_o posture_n but_o hevelius_n be_v please_v as_o i_o say_v before_o whole_o to_o lay_v aside_o all_o manner_n of_o wooden_a instrument_n as_o useless_a and_o to_o endeavour_v the_o obtain_n of_o instrument_n of_o brass_n or_o iron_n no_o say_v he_o pag._n 136._o cùm_fw-la longâ_fw-la experientiâ_fw-la probe_n tandem_fw-la didicerim_fw-la multo_fw-la securius_fw-la esse_fw-la ex_fw-la solido_fw-la prorsus_fw-la metallo_fw-la obtinere_fw-la instrumenta_fw-la tum_fw-la quo_fw-la majora_fw-la &_o ampliora_fw-la eo_fw-la esse_fw-la accuratiora_fw-la &_o absolutiora_fw-la adhaec_fw-la prioribus_fw-la admodum_fw-la tichonicum_fw-la constructis_fw-la plurima_fw-la deesse_fw-la quibus_fw-la ditari_fw-la merito_fw-la deberent_fw-la &_o quod_fw-la iisdem_fw-la de_fw-la causis_fw-la omnino_fw-la necessum_fw-la sit_fw-la ut_fw-la parte_fw-la corrigerentur_fw-la &_o meliorentur_fw-la tam_fw-la quà _fw-la eorum_fw-la materiam_fw-la fructuram_fw-la commotionem_fw-la facilitandam_fw-la divisionem_fw-la quam_fw-la alia_fw-la diversa_fw-la subsidia_fw-la &_o adminicula_fw-la quo_fw-la sic_fw-la aptius_fw-la exquisitius_fw-la promptius_fw-la minorique_n labour_v etc._n etc._n ac_fw-la temporis_fw-la dispendio_fw-la possent_fw-la astris_fw-la exponi_fw-la observationésque_fw-la peragi_fw-la idcirco_fw-la omnem_fw-la curam_fw-la atque_fw-la operam_fw-la pro_fw-la tenui_fw-la ingenii_fw-la mei_fw-la facultatúmque_fw-la mearum_fw-la modulo_fw-la à _fw-la deo_fw-la concesso_fw-la reliqua_fw-la sublimioribus_fw-la ingeniis_fw-la at_o que_fw-la ampliori_fw-la fortunâ_fw-la viris_fw-la five_o posteritati_fw-la nostrae_fw-la relinquens_fw-la adhibui_fw-la quo_fw-la minora_fw-la tam_fw-la lignea_fw-la universa_fw-la ab_fw-la astris_fw-la planè_fw-la removerem_fw-la atque_fw-la in_o ejus_fw-la locum_fw-la ex_fw-la puro_fw-la solidóque_fw-la metallo_fw-la organa_fw-la mihi_fw-la compararem_fw-la &_o quidem_fw-la ejusmodi_fw-la quae_fw-la insigni_fw-la amplitudine_fw-la essent_fw-la conspicua_fw-la simul_fw-la commoditate_fw-la regendi_fw-la simul_fw-la aliquanto_fw-la accuratioribus_fw-la adhuc_fw-la divisionibus_fw-la ad_fw-la paulò_fw-la subtiliores_fw-la observationes_fw-la obtinendas_fw-la gauderent_fw-la his_o reason_v indeed_o be_v very_o good_a that_o since_o he_o have_v from_o much_o and_o long_a experience_n learn_v that_o instrument_n of_o wood_n after_o ticho_n manner_n be_v not_o to_o be_v trust_v to_o by_o reason_n of_o their_o warp_a and_o shrink_v and_o consequent_o that_o instrument_n of_o solid_a metal_n be_v much_o to_o be_v prefer_v before_o they_o and_o also_o that_o the_o large_a the_o instrument_n be_v the_o more_o exact_o they_o can_v be_v make_v and_o divide_v and_o that_o the_o more_o easy_a they_o be_v to_o be_v move_v and_o the_o more_o steady_a and_o sure_a they_o be_v to_o be_v fix_v in_o any_o position_n the_o more_o convenient_a they_o be_v for_o use_v he_o have_v therefore_o reject_v all_o those_o instrument_n which_o he_o have_v make_v after_o ticho_n way_n and_o have_v endeavour_v to_o procure_v for_o his_o own_o use_n such_o as_o be_v complete_a both_o for_o their_o matter_n and_o form_n have_v cause_v they_o to_o be_v make_v of_o metal_n that_o which_o can_v not_o be_v subject_a to_o the_o inconvenience_n of_o warp_a swell_a or_o shrink_v with_o the_o variety_n of_o wether_n or_o length_n of_o time_n and_o likewise_o of_o such_o a_o bigness_n as_o be_v capable_a of_o receive_v more_o nice_a and_o curious_a division_n and_o in_o the_o divide_v they_o have_v find_v such_o contrivance_n and_o use_v such_o diligence_n that_o they_o be_v more_o then_o ordinary_o true_a and_o exact_a as_o far_o as_o he_o have_v go_v on_o with_o these_o design_n he_o seem_v to_o have_v be_v even_o profuse_a in_o his_o expense_n and_o exceed_v bountiful_a of_o his_o own_o care_n labour_n and_o diligence_n but_o i_o can_v have_v wish_v hearty_o that_o it_o have_v be_v some_o other_o way_n employ_v those_o instrument_n which_o he_o chief_o labour_v to_o perfect_a he_o profess_v to_o be_v quadrant_n sectant_n and_o octant_n after_o ticho_n manner_n reject_v all_o other_o instrument_n of_o whatsoever_o figure_n whether_o radii_fw-la astrolab_n zodiacal_a or_o aequinoctial_a ring_n parallactical_a instrument_n or_o hoop_n as_o more_o troublesome_a and_o less_o accurate_a but_o whether_o he_o have_v in_o this_o his_o choice_n be_v right_o advise_v i_o shall_v hereafter_o have_v more_o occasion_n to_o examine_v when_o i_o come_v to_o describe_v a_o apparatus_fw-la of_o instrument_n necessary_a for_o such_o a_o one_o as_o design_n to_o promote_v and_o perfect_v the_o knowledge_n of_o the_o celestial_a body_n and_o their_o motion_n wherein_o i_o shall_v show_v that_o of_o some_o instrument_n reject_v by_o he_o there_o be_v a_o use_n absolute_o necessary_a the_o instrument_n therefore_o that_o he_o begin_v with_o be_v three_o small_a quadrant_n of_o brass_n the_o first_o of_o two_o foot_n the_o second_o of_o eighteen_o inch_n and_o the_o three_o of_o one_o foot_n radius_fw-la each_o of_o these_o instrument_n he_o say_v be_v make_v somewhat_o large_a than_o common_a quadrant_n to_o wit_n of_o a_o arch_n of_o 110_o degree_n which_o be_v to_o no_o other_o end_n but_o only_o in_o order_n to_o show_v the_o subdivision_n of_o each_o degree_n of_o the_o quadrant_n by_o the_o help_n of_o a_o new_a invent_v perpendicular_a of_o brass_n wherewith_o each_o of_o they_o be_v furnish_v this_o invention_n be_v by_o he_o high_o extol_v for_o most_o excellent_a and_o useful_a and_o to_o that_o end_n be_v make_v use_n of_o for_o the_o division_n of_o all_o his_o other_o instrument_n both_o great_a and_o small_a hear_v what_o he_o say_v of_o it_o quiscunque_fw-la huius_fw-la rei_fw-la to_o wit_n the_o new_a way_n of_o subdivide_v the_o degree_n of_o the_o quadrant_n primus_fw-la fuerit_fw-la repertor_n sublime_v profecto_fw-la cogitationes_fw-la exercuit_fw-la hoc_fw-la ipso_fw-la ad_fw-la congruentem_fw-la effectum_fw-la deducendo_fw-la &_o inter_fw-la praestantissima_fw-la inuenta_fw-la meritissimo_fw-la refertur_fw-la quod_fw-la etiam_fw-la minora_fw-la instrumenta_fw-la remotis_fw-la omnibus_fw-la transversalibus_fw-la lineis_fw-la in_fw-la singula_fw-la minuta_fw-la corúmque_fw-la particulas_fw-la minimas_fw-la subdividi_fw-la liceat_fw-la he_o seem_v indeed_o both_o here_o and_o elsewhere_o in_o many_o other_o place_n of_o his_o book_n to_o be_v high_o possess_v with_o admiration_n of_o the_o sublimity_n subtlety_n and_o extreme_a usefulness_n of_o this_o invention_n and_o seem_v very_o much_o concern_v that_o the_o author_n thereof_o shall_v not_o certain_o be_v know_v but_o dare_v not_o father_n it_o upon_o any_o one_o positive_o he_o say_v that_o one_o benedictus_n hedreus_n in_o a_o work_n of_o he_o which_o he_o publish_v anno_fw-la 1643._o about_o the_o new_a and_o accurate_a structure_n of_o the_o geometrical_a astrolab_n describe_v it_o but_o he_o gather_v that_o he_o be_v not_o the_o inventor_n himself_o but_o rather_o that_o he_o get_v both_o this_o invention_n and_o the_o whole_a quadrant_n which_o he_o describe_v out_o of_o the_o observatory_n or_o rather_o repository_n of_o tycho_n brahe_n instrument_n for_o that_o it_o seem_v tycho_n be_v the_o inventor_n of_o this_o way_n of_o division_n and_o yet_o as_o i_o note_v before_o he_o prefer_v the_o way_n by_o diagonal_n much_o before_o it_o whatever_o reason_n hevelius_n have_v to_o be_v of_o a_o contrary_a judgement_n what_o this_o way_n be_v i_o shall_v by_o and_o by_o explain_v but_o in_o the_o mean_a time_n i_o be_o sorry_a to_o find_v hevelius_n join_v with_o hedreus_n in_o the_o opinion_n or_o demonstration_n as_o hevelius_n call_v it_o that_o the_o sub-division_n by_o diagonal_n be_v not_o capable_a of_o a_o geometrical_a demonstration_n especial_o in_o lesser_a instrument_n which_o have_v need_v of_o many_o circle_n i_o confess_v i_o understand_v not_o their_o meaning_n nor_o reason_v nor_o why_o it_o shall_v be_v less_o demonstrable_a in_o lesser_a than_o in_o great_a instrument_n since_o it_o be_v very_o easy_o demonstrable_a both_o in_o great_a and_o lesser_a instrument_n and_o as_o geometrical_a as_o any_o other_o way_n of_o division_n whatsoever_o the_o diagonal_a line_n be_v always_o a_o piece_n of_o a_o tangent_fw-la line_n that_o be_v to_o say_v the_o space_n between_o the_o parallel_n circle_n upon_o the_o diagonal_n be_v always_o to_o be_v in_o proportion_n to_o the_o difference_n of_o some_o tangent_fw-la line_n and_o the_o different_a distance_n of_o those_o circle_n from_o the_o centre_n be_v always_o in_o proportion_n of_o some_o secant_v and_o the_o way_n of_o find_v what_o those_o tangent_n or_o secant_v be_v and_o consequent_o what_o must_v be_v those_o distance_n of_o the_o parallel_n circle_n i_o mention_v brief_o before_o and_o shall_v now_o more_o full_o demonstrate_v from_o which_o i_o will_v make_v it_o evident_a that_o the_o theory_n be_v not_o as_o hedreus_n and_o hevelius_n have_v suppose_v uncapable_a of_o calculation_n or_o mechanical_a demonstration_n but_o first_o give_v i_o leave_v to_o show_v you_o what_o way_n tycho_n brahe_n make_v use_v of_o to_o demonstrate_v or_o rather_o to_o find_v out_o the_o true_a angle_n unto_o each_o equal_a
long_o it_o may_v contain_v two_o whole_a minute_n of_o such_o a_o circle_n between_o f_z and_o f_o and_o one_o between_o 4_o and_o 4_o and_o consequent_o the_o say_a glass_n may_v be_v set_v horizontal_n to_o the_o certainty_n of_o a_o second_o which_o be_v hardly_o to_o be_v ascertain_v any_o other_o way_n but_o there_o remain_v yet_o one_o great_a difficulty_n how_o to_o be_v able_a to_o make_v such_o a_o curviture_fw-fr for_o though_o the_o thing_n be_v true_a in_o theory_n yet_o be_v it_o not_o without_o some_o trouble_n put_v in_o practice_n very_o few_o glass_n cane_n be_v so_o convenient_o bend_v as_o be_v desirable_a and_o it_o be_v as_o difficult_a to_o find_v they_o true_a straight_o to_o prevent_v this_o if_o glass_n cane_n be_v use_v there_o must_v be_v much_o care_n take_v and_o many_o trial_n make_v for_o the_o find_v what_o piece_n and_o what_o side_n of_o those_o piece_n will_v be_v most_o fit_a for_o this_o purpose_n for_o our_o glass-house_n workman_n know_v not_o yet_o a_o way_n certain_o to_o draw_v they_o of_o this_o or_o that_o curviture_fw-fr or_o straightness_n nor_o be_v they_o easy_o ground_n into_o a_o straightness_n or_o curviture_fw-fr by_o the_o glassgrinder_n afterward_o though_o that_o can_v be_v do_v with_o some_o trouble_n but_o diligence_n and_o trial_n will_v quick_o find_v some_o piece_n or_o other_o that_o will_v be_v sufficient_o exact_a for_o any_o trial_n among_o those_o which_o be_v only_o draw_v at_o the_o glass-house_n i_o make_v use_v of_o one_o of_o another_o form_n such_o as_o be_v describe_v in_o the_o 25_o figure_n which_o i_o find_v to_o do_v exceed_v well_o the_o dark_a part_n represent_v the_o water_n and_o the_o light_a part_n the_o air._n this_o be_v make_v of_o two_o glass_n draw_v in_o distinct_a pipe_n at_o the_o glass-house_n but_o join_v together_o in_o the_o lamp_n and_o the_o upper_a part_n of_o the_o large_a or_o under_a tube_n be_v incurvate_v with_o its_o convexity_n downward_o so_o that_o the_o water_n touch_v the_o middle_a part_n and_o the_o bubble_n of_o air_n at_o each_o end_n thereof_o communicate_v together_o by_o the_o small_a pipe_n above_o i_o try_v also_o another_o way_n by_o which_o i_o be_v more_o certain_a of_o the_o truth_n of_o the_o curvity_n and_o can_v make_v the_o curvity_n of_o a_o great_a circle_n this_o be_v by_o a_o long_a piece_n of_o a_o looking-glass-plate_n ground_n very_o smooth_a and_o polish_a which_o by_o the_o help_n of_o screw_n i_o bend_v upon_o the_o circular_a edge_n of_o a_o brass_n prismatical_a box_n and_o cement_v the_o same_o very_a tight_a with_o hard_a and_o soft_a cement_n this_o plate_n have_v a_o hollow_a channel_n ground_n in_o it_o the_o length_n thereof_o which_o serve_v to_o keep_v the_o bubble_n in_o the_o middle_n by_o this_o mean_n it_o be_v not_o difficult_a to_o bend_v such_o a_o plate_n into_o the_o curviture_fw-fr of_o a_o circle_n of_o 50_o 60_o 100_o 1000_o foot_n radius_fw-la and_o the_o brass_n box_n can_v easy_o be_v make_v to_o fill_v or_o empty_a as_o there_o shall_v be_v occasion_n for_o the_o use_n thereof_o so_o that_o the_o bubble_n may_v be_v at_o any_o time_n leave_v of_o what_o bigness_n shall_v be_v desire_v it_o will_v be_v convenient_a also_o to_o varnish_v the_o inside_n of_o this_o brass_n box_n with_o lacker-varnish_a very_o thick_a and_o close_o both_o to_o keep_v it_o from_o ru_v and_o also_o to_o preserve_v it_o from_o be_v corrode_v by_o aqua_fw-la fortis_fw-la whensoever_o there_o shall_v be_v occasion_n to_o put_v it_o in_o for_o the_o cleanse_n he_o inward_a tarnish_n and_o foulness_n of_o the_o glass-plate_n this_o curvity_n of_o the_o upper_a side_n of_o the_o level_n may_v be_v make_v by_o grind_v the_o under_o side_n of_o such_o a_o long_a plate_n of_o look_a glass_n upon_o a_o convex_a glass-tool_n of_o 50_o 60_o 100_o 1000_o foot_n radius_fw-la and_o polish_n the_o samé_n according_o of_o that_o figure_n the_o curvity_n of_o the_o say_a plate_n be_v express_v in_o the_o 26_o figure_n now_o what_o by_o this_o way_n may_v be_v do_v with_o water_n and_o bubble_n of_o air_n the_o same_o may_v be_v do_v with_o the_o same_o glass_n turn_v upside-down_a by_o the_o help_n of_o a_o exact_o round_a and_o polish_a cylinder_n or_o globule_n of_o glass_n crystal_n cornelian_a agate_n or_o other_o exceed_o hard_a and_o close_a stone_n after_o the_o manner_n represent_v in_o the_o 27_o figure_n for_o the_o ball_n or_o cylinder_n will_n natural_o roll_v to_o the_o low_a part_n of_o the_o concavity_n and_o there_o stand_v but_o in_o the_o do_n of_o this_o great_a care_n must_v be_v take_v that_o the_o globule_n be_v exact_o round_a and_o polish_a and_o that_o they_o concavity_n of_o the_o plate_n be_v as_o smooth_a and_o well_o polish_a and_o that_o they_o be_v both_o very_a clean_a and_o free_a from_o dust_n otherwise_o the_o cylinder_n or_o globule_n will_v be_v apt_a to_o stand_v in_o a_o place_n where_o it_o shall_v not_o and_o consequent_o produce_v considerable_a error_n and_o here_o i_o can_v omit_v to_o take_v notice_n of_o a_o very_a curious_a level_n invent_v by_o sr._n chr._n wren_n for_o the_o take_v the_o horizon_n every_o way_n in_o a_o circle_n which_o be_v do_v by_o a_o large_a concave_n ground_n and_o polish_a on_o a_o very_a large_a sphere_n and_o the_o limb_n of_o it_o ground_n and_o polish_a on_o a_o flat_a for_o by_o place_v the_o same_o horizontal_n and_o rectify_v it_o by_o a_o small_a quantity_n of_o quicksilver_n pour_v into_o the_o concavity_n thereof_o it_o will_v be_v easy_a by_o look_v by_o the_o flat_a polish_a limb_n to_o discover_v the_o true_a horizon_n the_o only_a inconvenience_n i_o find_v in_o it_o be_v that_o the_o ☿_o have_v some_o kind_n of_o stick_v to_o the_o glass_n but_o a_o small_a crystal_n bowl_n i_o suppose_v may_v remedy_v that_o inconvenience_n and_o make_v it_o fit_a for_o use_v the_o 5_o thing_n wherein_o this_o instrument_n be_v make_v to_o excel_v other_o be_v in_o its_o easiness_n to_o be_v adjust_v to_o the_o object_n and_o in_o this_o that_o be_v once_o adjust_v the_o whole_a instrument_n be_v so_o order_v as_o that_o it_o will_v remain_v constant_a to_o those_o object_n though_o they_o be_v move_v the_o want_n of_o this_o be_v so_o great_a a_o inconvenience_n in_o all_o other_o instrument_n hitherto_o make_v use_n of_o that_o almost_o all_o observation_n have_v be_v thereby_o vitiate_a and_o hevelius_n to_o prevent_v and_o obviate_v this_o have_v find_v out_o many_o contrivance_n but_o they_o be_v such_o as_o though_o they_o do_v it_o in_o part_n yet_o it_o be_v but_o in_o part_n and_o that_o with_o much_o trouble_n and_o inconvenience_n i_o need_v not_o spend_v time_n to_o show_v how_o many_o inconvenience_n his_o way_n by_o 4_o several_a hand-screws_n to_o be_v manage_v by_o 2_o observator_n at_o the_o least_o be_v subject_a to_o they_o be_v indeed_o so_o many_o and_o so_o great_a that_o it_o be_v not_o without_o very_o good_a reason_n that_o he_o so_o often_o appeal_v to_o experience_n for_o the_o truth_n be_v there_o be_v great_a need_n of_o long_a practice_n and_o much_o experience_n to_o be_v able_a to_o make_v a_o observation_n in_o that_o way_n well_o the_o removal_n of_o every_o one_o of_o those_o screw_n have_v a_o influence_n upon_o every_o one_o of_o the_o other_o so_o as_o no_o screw_n can_v be_v turn_v but_o the_o whole_a instrument_n be_v put_v out_o of_o its_o due_a situation_n and_o both_o the_o object_n be_v continual_o in_o motion_n the_o whole_a instrument_n be_v to_o be_v rectify_v every_o moment_n there_o be_v therefore_o necessary_a so_o great_a a_o judgement_n and_o dexterity_n to_o manage_v every_o one_o of_o those_o screw_n that_o without_o a_o acquire_v habitude_n and_o handiness_n by_o long_a practice_n and_o experience_n nothing_o can_v be_v do_v to_o any_o certainty_n nay_o not_o even_o to_o that_o little_a accurateness_n that_o the_o common_a sight_n be_v able_a to_o reach_v but_o this_o though_o it_o be_v a_o very_a great_a unhappiness_n to_o hevelius_n that_o he_o be_v not_o furnish_v with_o better_a contrivance_n yet_o it_o no_o way_n tend_v to_o his_o dispraise_n for_o his_o most_o extraordinary_a and_o indefatigable_a care_n pain_n and_o industry_n be_v so_o much_o the_o more_o to_o be_v admire_v esteem_v and_o honour_v and_o will_v be_v so_o much_o the_o more_o by_o such_o as_o have_v by_o experience_n find_v the_o difficulty_n of_o make_v any_o one_o observation_n certain_a in_o that_o way_n but_o that_o he_o or_o any_o other_o that_o have_v a_o mind_n to_o make_v further_a trial_n and_o observation_n may_v be_v free_v from_o this_o intolerable_a trouble_n and_o difficulty_n i_o have_v think_v of_o this_o follow_a instrument_n by_o mean_n whereof_o the_o quadrant_n be_v once_o adjust_v and_o
of_o time_n and_o unequal_a progression_n upon_o the_o dial-plain_a according_a to_o the_o proportion_n of_o inclination_n and_o the_o whole_a revolution_n be_v perform_v in_o twenty_o four_o hour_n and_o the_o hand_n of_o the_o clock_n upon_o the_o face_n of_o the_o dial_n be_v always_o move_v in_o a_o plain_a which_o pass_v through_o the_o arbour_n of_o the_o clock_n and_o make_v equal_a progression_n in_o equal_a space_n about_o the_o say_a arbour_n but_o unequal_a progression_n about_o the_o centre_n of_o the_o dial_n according_a to_o the_o differ_a inclination_n and_o those_o inclination_n be_v both_o in_o the_o sundial_n and_o clock-dial_n the_o same_o it_o will_v follow_v that_o the_o hand_n of_o the_o clock_n must_v always_o move_v in_o the_o shadow_n of_o the_o style_n if_o the_o hand_n be_v once_o rectify_v to_o the_o true_a plain_n and_o the_o axis_n or_o arbour_n make_v its_o revolution_n as_o it_o ought_v to_o do_v in_o twenty_o four_o hour_n if_o it_o be_v further_o desire_v for_o the_o ease_n of_o take_v azimuth_n and_o altitude_n that_o the_o arm_n of_o the_o azimuth_n quadrant_a that_o be_v once_o adjust_v to_o the_o celestial_a object_n shall_v by_o the_o aforesaid_a joint_n or_o instrument_n be_v keep_v always_o respect_v and_o follow_v the_o say_a object_n in_o its_o diurnal_a motion_n it_o may_v be_v very_o easy_o perform_v by_o the_o help_n of_o a_o small_a perpendicular_a ruler_n who_o low_a end_n be_v joint_v into_o either_o of_o the_o arm_n 11_o of_o the_o circular_a plate_n x_o in_o the_o 22_o and_o 23d_o figure_n of_o my_o animadversion_n and_o the_o upper_a end_n joint_v into_o the_o movable_a arm_n at_o the_o same_o distance_n from_o the_o centre_n of_o the_o quadrant_n that_o the_o low_a end_n be_v from_o the_o centre_n of_o the_o plate_n x_o and_o that_o the_o centre_n of_o the_o quadrant_n be_v set_v exact_o perpendicular_a over_o the_o centre_n of_o x_o but_o then_o the_o division_n by_o the_o help_n of_o the_o screw_n can_v be_v make_v use_n of_o because_o the_o clockwork_n itself_o be_v to_o turn_v and_o move_v the_o arm_n but_o it_o may_v be_v do_v by_o any_o quadrant_n where_o the_o minute_n division_n be_v perform_v by_o the_o help_n of_o diagonal_o for_o the_o arm_n of_o the_o circular-plate_n 11_o be_v always_o move_v in_o the_o superficies_n of_o the_o cone_n describe_v by_o the_o radiation_n from_o the_o celestial_a object_n to_o the_o centre_n of_o the_o plate_n x_o that_o be_v to_o say_v the_o line_n that_o pass_v through_o the_o centre_n of_o the_o say_a plate_n and_o through_o the_o two_o point_n 11_o be_v always_o direct_v to_o the_o celestial_a object_n if_o the_o arm_n of_o the_o quadrant_n be_v move_v perpendicular_a over_o it_o and_o parallel_v to_o it_o that_o also_o must_v be_v always_o direct_v to_o it_o and_o hence_o it_o may_v very_o easy_o be_v conceive_v how_o the_o aforesaid_a semicircular_a arm_n may_v be_v ready_o and_o certain_o rectify_v to_o any_o celestial_a object_n that_o be_v by_o fix_v telescope_n or_o common-sight_n upon_o the_o circular-plate_n so_o as_o the_o axis_n of_o they_o may_v be_v parallel_n to_o the_o line_n through_o 11_o and_o lose_v the_o screw_n h_o to_o rectify_v it_o to_o the_o object_n by_o the_o sight_n and_o then_o immediate_o to_o fix_v it_o in_o the_o say_a posture_n by_o the_o aforesaid_a screw_n the_o clockwork_n of_o the_o say_a instrument_n have_v be_v before_o that_o put_v into_o motion_n the_o reason_n of_o all_o which_o will_v easy_o appear_v to_o any_o one_o that_o thorough_o consider_v that_o all_o celestial_a object_n seem_v by_o the_o diurnal_a motion_n of_o the_o earth_n to_o move_v equal_o from_o east_n to_o west_n about_o the_o axis_n of_o it_o and_o will_v all_o do_v exact_o so_o be_v they_o not_o somewhat_o vary_v by_o their_o own_o proper_a periodical_a revolution_n which_o though_o it_o do_v indeed_o make_v a_o real_a difference_n between_o their_o velocity_n about_o the_o axis_n of_o the_o earth_n yet_o that_o difference_n be_v but_o small_a and_o the_o same_o circular_a pendulum_n will_v serve_v both_o for_o the_o sun_n moon_n planet_n and_o star_n if_o at_o least_o the_o pendulum_n p_o in_o the_o fifteen_o figure_n be_v a_o little_a lengthen_a or_o shorten_v by_o lift_v up_o or_o let_v down_o the_o rod_n q_o q_o in_o proportion_n as_o the_o body_n k_o moves_z swift_a or_o flower_n and_o it_o will_v not_o be_v difficult_a to_o mark_v upon_o the_o rod_n q_o q_o the_o appropriate_v length_n of_o the_o pendulum_n for_o the_o sun_n moon_n or_o star_n but_o this_o only_a by_o the_o by_o if_o in_o the_o next_o place_n it_o be_v desire_v that_o the_o hand_n of_o the_o clock_n shall_v be_v always_o carry_v round_o upon_o the_o face_n of_o the_o clock_n in_o the_o shadow_n of_o a_o style_n perpendicular_a to_o that_o plain_a by_o reason_n that_o the_o declination_n of_o the_o sun_n daily_o vari_v the_o angle_n of_o the_o shadow_n about_o that_o style_n vari_v also_o and_o consequent_o the_o inclination_n of_o the_o plate_n of_o the_o joint_n to_o the_o axis_n or_o arbour_n must_v vary_v also_o and_o that_o variation_n must_v always_o be_v the_o same_o with_o the_o variation_n of_o the_o declination_n of_o the_o sun_n which_o be_v twenty_o way_n mechanical_o performable_a in_o clockwork_n so_o that_o the_o motion_n shall_v be_v perform_v by_o the_o clockwork_n alone_o without_o touch_v it_o with_o the_o hand_n all_o the_o other_o direction_n that_o be_v requisite_a to_o adjust_a the_o clockwork_n to_o such_o a_o dial_n be_v only_o to_o make_v the_o arbour_n of_o the_o clockwork_n to_o have_v the_o same_o inclination_n to_o the_o plain_a of_o the_o dial_n that_o the_o axis_n of_o the_o earth_n or_o a_o line_n parallel_n to_o it_o have_v and_o rectify_v the_o hand_n into_o the_o true_a plain_a of_o the_o axis_n or_o incline_v arbour_n the_o equality_n of_o the_o motion_n of_o the_o clockwork_n according_a to_o the_o diurnal_a and_o annual_a motion_n of_o the_o sun_n we_o suppose_v also_o to_o be_v provide_v for_o if_o the_o hand_n of_o the_o clock_n be_v desire_v to_o be_v move_v in_o the_o shadow_n of_o any_o other_o straight_o style_n howsoever_o incline_v to_o the_o plain_a of_o the_o dial_n then_o must_v there_o be_v another_o joint_n like_o the_o former_a add_v to_o the_o end_n of_o that_o axis_n which_o be_v perpendicular_a to_o the_o plain_a of_o the_o dial_n and_o all_o the_o three_o axe_n must_v be_v situate_a in_o respect_n of_o the_o plain_a in_o which_o the_o hand_n on_o the_o end_n of_o the_o last_o be_v to_o move_v that_o the_o inclination_n of_o the_o say_a axe_n to_o each_o other_o may_v represent_v the_o inclination_n of_o the_o axis_n to_o the_o perpendicular_a axis_fw-la of_o the_o plain_a and_o of_o that_o perpendicular_a axis_n to_o the_o axis_fw-la of_o the_o style_n or_o which_o be_v somewhat_o short_a and_o may_v be_v make_v handsome_a enough_o let_v the_o two_o end_n of_o the_o hand_n represent_v the_o two_o point_n of_o the_o second_o circular_a plate_n or_o globe_n extend_v long_o enough_o to_o reach_v to_o the_o hour_n circle_n then_o let_v the_o axis_fw-la of_o this_o second_o arm_n be_v place_v in_o the_o axis_fw-la of_o the_o incline_v style_n and_o let_v the_o axis_fw-la of_o equal_a motion_n represent_v the_o axis_fw-la of_o the_o diurnal_a motion_n of_o the_o earth_n be_v place_v with_o such_o inclination_n to_o it_o as_o the_o axis_fw-la of_o the_o earth_n have_v to_o the_o oblique_a axis_n or_o style_n of_o the_o dial_n and_o the_o motion_n will_v be_v most_o exact_o perform_v mechanical_o and_o according_a to_o the_o truth_n of_o geometry_n and_o calculation_n now_o in_o all_o these_o motion_n care_n must_v be_v take_v to_o provide_v that_o the_o inclination_n of_o the_o declination_n of_o the_o sun_n from_o the_o equinoctial_a be_v express_v by_o the_o end_v 11_o in_o the_o 22_o and_o 23_o figure_n of_o the_o second_o plate_n of_o my_o animadversion_n of_o the_o cross_n take_v hold_v of_o by_o the_o semicircular_a arm_n c_o d_o upon_o the_o end_n of_o the_o first_o axis_n that_o be_v that_o the_o say_v arm_n may_v by_o their_o revolution_n make_v the_o line_n of_o the_o cross_n describe_v such_o a_o cone_fw-mi about_o the_o first_o axis_n as_o the_o motion_n of_o the_o sun_n do_v about_o the_o axis_fw-la of_o the_o earth_n make_v the_o centre_n of_o the_o earth_n the_o apex_n of_o that_o cone_n which_o will_v be_v do_v if_o the_o say_v semicircular_a arm_n be_v move_v and_o set_v to_o the_o declination_n of_o the_o sun_n for_o that_o day_n or_o that_o a_o additional_a motion_n be_v add_v to_o the_o first_o axis_n that_o the_o clock_n itself_o may_v perform_v it_o this_o may_v be_v do_v twenty_o way_n easy_o enough_o which_o i_o suppose_v will_v be_v sufficient_o
but_o yet_o so_o much_o must_v be_v leave_v that_o it_o may_v move_v very_o free_o upon_o its_o centre_n c_o a_o whole_a semicircle_n this_o do_v and_o the_o receptacle_n be_v fill_v with_o oil_n the_o same_o effect_n will_v follow_v as_o in_o the_o first_o contrivance_n and_o the_o demonstration_n of_o it_o be_v much_o the_o same_o i_o shall_v not_o now_o spend_v time_n to_o explain_v it_o but_o rather_o proceed_v to_o the_o description_n of_o a_o three_o way_n of_o keep_v the_o liquor_n counterpoise_v to_o the_o same_o level_n the_o three_o way_n than_o be_v take_v any_o round_a vessel_n who_o concavity_n and_o convexity_n be_v turn_v upon_o a_o axis_n and_o suspend_v that_o vessel_n upon_o two_o small_a pivot_n but_o yet_o big_a enough_o to_o bear_v the_o say_a vessel_n fill_v with_o oil_n etc._n etc._n fasten_v in_o the_o pole_n of_o that_o axis_n and_o leave_v or_o cut_v open_a a_o six_o part_v more_o or_o less_o as_o you_o please_v of_o the_o side_n thereof_o that_o thereby_o any_o thing_n may_v be_v put_v into_o or_o take_v out_o of_o the_o cavity_n of_o the_o vessel_n then_o poise_v the_o vessel_n exact_o on_o those_o centre_n that_o no_o side_n be_v heavy_a than_o the_o other_o then_o fit_a into_o it_o a_o float_n of_o brass_n silver_n tin_n lead_v etc._n etc._n convex_v on_o the_o under_o side_n so_o as_o just_a to_o fill_v to_o the_o cavity_n of_o the_o vessel_n and_o on_o the_o upper_a side_n plain_a or_o convex_v or_o any_o other_o convenient_a figure_n it_o matter_n not_o much_o make_v this_o float_n as_o heavy_a as_o you_o can_v at_o the_o bottom_n and_o as_o light_a as_o may_v be_v at_o the_o top_n but_o yet_o of_o such_o weight_n as_o may_v well_o float_v upon_o the_o top_n of_o the_o oil_n etc._n etc._n let_v one_o end_n of_o this_o be_v fasten_v by_o a_o wire_n or_o string_n so_o as_o that_o end_n thereof_o may_v always_o touch_v that_o point_n of_o the_o concave_n of_o the_o vessel_n to_o which_o it_o be_v tie_v and_o that_o the_o rest_n thereof_o may_v turn_v and_o follow_v the_o sink_n of_o the_o oil_n and_o through_o the_o end_n of_o it_o near_o the_o place_n where_o it_o be_v fasten_v let_v a_o pipe_n go_v through_o it_o to_o receive_v the_o wick_n which_o pipe_n have_v no_o communication_n with_o the_o cavity_n of_o the_o hollow_a float_n this_o do_v fill_v the_o vessel_n as_o full_a as_o convenient_a with_o oil_n and_o light_v the_o wick_n and_o you_o shall_v find_v that_o as_o the_o fire_n consume_v the_o oil_n the_o vessel_n will_v turn_v upon_o its_o pole_n and_o keep_v the_o superficies_n of_o the_o oil_n always_o at_o the_o same_o distance_n from_o the_o flame_n that_o it_o be_v put_v at_o at_o first_o till_o the_o whole_a be_v consume_v this_o will_v be_v make_v more_o conceivable_a by_o a_o figure_n and_o explanation_n thereof_o which_o therefore_o take_v as_o follow_v in_o the_o five_o figure_n a_o c_o b_o b_o represent_v a_o hollow_a vessel_n the_o cavity_n whereof_o be_v very_o exact_o turn_v upon_o a_o axis_n who_o pole_n be_v in_o p_o the_o space_n between_o a_o and_o b_o in_o the_o side_n thereof_o be_v leave_v open_a into_o the_o cavity_n of_o it_o this_o vessel_n be_v suspend_v upon_o its_o pole_n at_o p_o so_o as_o to_o be_v free_a to_o move_v round_o upon_o they_o and_o exact_o poise_v as_o no_o one_o side_n thereof_o be_v heavy_a than_o another_o to_o the_o hollow_a of_o this_o vessel_n be_v fit_v a_o float_n d_o of_o brass_n latton_n silver_n lead_v etc._n etc._n who_o underside_n be_v make_v of_o a_o convexity_n just_o fit_a for_o the_o concavity_n of_o the_o vessel_n as_o may_v be_v see_v at_o k_o d_o i_o and_o the_o upper_a straight_o or_o plain_a let_v this_o float_n be_v make_v somewhat_o light_a than_o the_o oil_n or_o liquor_n on_o which_o it_o be_v to_o swim_v so_o that_o a_o part_n thereof_o may_v float_v above_o the_o superficies_n thereof_o let_v one_o end_n thereof_o e_o be_v fasten_v to_o the_o side_n of_o the_o vessel_n a_o little_a below_o the_o brim_n b_o through_o the_o end_n of_o this_o float_n be_v put_v a_o pipe_n and_o wick_n h_o for_o the_o flame_n i_o then_o pour_v in_o oil_n by_o the_o open_a side_n a_o q_o b_o fill_v the_o same_o till_o it_o carry_v the_o float_n up_o to_o touch_v the_o hollow_a of_o the_o vessel_n then_o light_a the_o wick_n and_o you_o will_v find_v that_o the_o lamp_n will_v consume_v the_o oil_n and_o this_o contrivance_n will_v continual_o supply_v it_o till_o the_o whole_a be_v consume_v and_o the_o poise_n be_v move_v to_o touch_v the_o concave_n of_o the_o aforesaid_a vessel_n for_o when_o the_o vessel_n be_v fill_v up_o to_o f_o g_o the_o float_n d_o will_v touch_v at_o o_o and_o e_o and_o the_o cavity_n above_o f_o g_o being_n empty_v the_o vessel_n will_v be_v as_o be_v describe_v in_o the_o figure_n the_o open_a part_n a_o b_o be_v upward_o and_o as_o the_o flame_n consume_v the_o oil_n the_o side_n of_o the_o vessel_n b_o will_v descend_v downward_o towards_o b_o 1_o and_o so_o by_o b_o 1_o b_o 2_o b_o 3_o to_z b_o 4_o where_o the_o whole_a quantity_n of_o oil_n will_v be_v consume_v and_o the_o bottom_n of_o the_o float_n will_v touch_v the_o hollow_a side_n of_o the_o vessel_n in_o all_o which_o gradual_a waste_n of_o the_o oil_n the_o superficies_n thereof_o will_v lie_v at_o the_o same_o distance_n below_o the_o upper_a side_n of_o the_o float_n d_o that_o it_o have_v at_o first_o and_o consequent_o at_o the_o same_o distance_n from_o the_o bottom_n of_o the_o flame_n the_o reason_n of_o all_o which_o will_v be_v very_o easy_a to_o be_v understand_v by_o any_o one_o that_o shall_v serious_o on_o this_o delineation_n consider_v that_o the_o float_n d_o must_n necessitate_v the_o vessel_n a_o c_o b_o to_o move_z on_o its_o axis_n b_o according_a as_o its_o oil_n waste_v because_o one_o end_n thereof_o e_o be_v fasten_v to_o the_o brim_n of_o the_o vessel_n b_o the_o other_o end_n o_o be_v loose_a will_n as_o the_o oil_n waste_v descend_v towards_o n_n whence_o the_o end_n e_o must_v hang_v heavy_a on_o the_o brim_n b_o and_o consequent_o must_v move_v it_o down_o towards_o b_o till_o the_o upper_a side_n f_o g_o of_o the_o float_n be_v reduce_v to_o a_o parallelism_n with_o the_o superficies_n of_o the_o remain_a oil_n and_o the_o end_n e_o have_v no_o gravitation_n on_o the_o brim_n b_o which_o motion_n will_v be_v continue_v as_o the_o oil_n waste_v and_o the_o brim_n b_o will_v be_v move_v downward_o by_o the_o point_n b_o 1_n b_o 2_o b_o 3_o to_z b_o 4._o i_o shall_v not_o therefore_o spend_v any_o more_o time_n in_o the_o geometrical_a demonstration_n thereof_o but_o proceed_v to_o explain_v a_o four_o way_n by_o which_o the_o flame_n and_o superficies_n of_o the_o oil_n keep_v always_o at_o the_o distance_n they_o be_v first_o put_v at_o the_o four_o way_n than_o be_v the_o make_v the_o socket_n of_o the_o wick_n to_o swim_v upon_o the_o top_n of_o the_o oil_n so_o that_o the_o socket_n may_v sink_v as_o well_o as_o the_o oil_n by_o reason_n it_o be_v sustain_v by_o that_o and_o by_o that_o only_a the_o vessel_n or_o receptacle_n be_v general_o make_v of_o glass_n and_o it_o be_v best_o of_o a_o hemispherical_a figure_n the_o light_n cast_v itself_o through_o the_o body_n of_o the_o oil_n as_o well_o as_o of_o the_o glass_n this_o be_v so_o plain_a and_o obvious_a and_o so_o common_o use_v and_o practise_v that_o i_o need_v not_o spend_v more_o time_n in_o the_o explanation_n or_o demonstration_n thereof_o but_o proceed_v to_o describe_v a_o five_o way_n the_o five_o way_n than_o be_v much_o upon_o the_o same_o principle_n with_o the_o four_o but_o avoid_v several_a inconvenience_n to_o which_o that_o be_v subject_a for_o whereas_o the_o flame_n in_o the_o four_o be_v necessitate_v to_o be_v within_o the_o capacity_n or_o the_o receptacle_n in_o this_o five_o it_o may_v be_v at_o any_o distance_n and_o so_o be_v make_v much_o more_o convenient_a to_o be_v come_v at_o and_o to_o be_v dress_v and_o trim_v take_v then_o a_o vessel_n of_o glass_n cylindrical_n be_v best_a as_o a_o glass_n bottle_n and_o fit_a to_o it_o a_o siphon_n long_o enough_o to_o draw_v the_o oil_n from_o the_o bottom_n of_o the_o say_a vessel_n make_v the_o one_o end_n of_o this_o siphon_n extend_v at_o what_o distance_n you_o think_v convenient_a for_o the_o place_v the_o flame_n of_o the_o lamp_n and_o so_o order_v it_o that_o it_o may_v always_o draw_v from_o the_o receptacle_n by_o its_o arm_n to_o feed_v the_o flame_n which_o it_o will_v do_v if_o the_o end_n of_o the_o siphon_n be_v make_v where_o the_o socket_n of_o the_o lamp_n be_v place_v
it_o remain_v that_o i_o come_v to_o the_o description_n of_o the_o microscope_n itself_o which_o be_v the_o principal_a instrument_n and_o without_o which_o all_o the_o rest_n be_v insignificant_a the_o microscope_n than_o i_o design_v here_o to_o describe_v be_v only_o of_o two_o kind_n either_o single_a or_o double_a the_o single_a microscope_n i_o call_v that_o which_o consist_v only_o of_o one_o glass_n though_o it_o have_v a_o double_a refract_a superficies_n and_o the_o double_a one_o i_o call_v that_o which_o be_v compound_v of_o two_o glass_n though_o it_o have_v for_o the_o most_o part_n a_o quadruple_a refraction_n of_o the_o ray_n the_o single_a microscope_n than_o consist_v of_o one_o small_a lens_n so_o fasten_v into_o a_o cell_n that_o the_o eye_n may_v come_v convenient_o to_o look_v through_o the_o middle_a part_n or_o axis_n of_o it_o of_o these_o there_o be_v various_a sort_n as_o double_a convex_n or_o plain_a convex_n or_o perfect_o spherical_a i_o shall_v not_o need_v to_o describe_v the_o common_a lense_v which_o be_v every_o where_o make_v use_v of_o for_o this_o purpose_n be_v plano-convexes_a of_o sphere_n about_o half_a a_o inch_n diameter_n save_v only_o this_o that_o it_o be_v best_a to_o turn_v the_o plain_a side_n towards_o the_o object_n and_o the_o convex_a to_o the_o eye_n nor_o shall_v i_o say_v much_o concern_v those_o double_a convex_a glass_n there_o be_v no_o great_a difficulty_n in_o the_o make_n or_o use_v of_o they_o but_o that_o the_o small_a the_o sphere_n be_v in_o which_o they_o be_v make_v the_o near_a do_v they_o bring_v the_o object_n to_o the_o eye_n and_o consequent_o the_o more_o be_v the_o object_n magnify_v and_o the_o better_a and_o true_a they_o be_v polish_a in_o the_o tool_n the_o more_o clear_a and_o distinct_a do_v the_o object_n appear_v but_o to_o make_v any_o of_o a_o sphere_n less_o than_o 1_o 10_o of_o a_o inch_n in_o diameter_n be_v exceed_o difficult_a by_o reason_n that_o the_o glass_n become_v too_o small_a to_o be_v tractable_a and_o it_o be_v very_o difficult_a to_o find_v a_o cement_n that_o will_v hold_v it_o fast_o whilst_o it_o be_v complete_v and_o when_o it_o be_v polish_a it_o be_v exceed_o difficult_a to_o handle_v and_o put_v into_o its_o cell_n beside_o i_o have_v find_v the_o use_n of_o they_o offensive_a to_o my_o eye_n and_o to_o have_v much_o strain_v and_o weaken_v the_o sight_n which_o be_v the_o reason_n why_o i_o omit_v to_o make_v use_n of_o they_o though_o in_o truth_n they_o do_v make_v the_o object_n appear_v much_o more_o clear_a and_o distinct_a and_o magnify_v as_o much_o as_o the_o double_a microscope_n nay_o to_o those_o who_o eye_n can_v well_o endure_v it_o it_o be_v possible_a with_o a_o single_a microscope_n to_o make_v discovery_n much_o better_o than_o with_o a_o double_a one_o because_o the_o colour_n which_o do_v much_o disturb_v the_o clear_a vision_n in_o double_a microscope_n be_v clear_o avoid_v and_o prevent_v in_o the_o single_a the_o single_a microscope_n therefore_o which_o i_o shall_v here_o describe_v as_o it_o be_v exceed_o easy_a to_o make_v so_o be_v it_o much_o more_o tractable_a than_o the_o double_a convex_a glass_n make_v the_o common_a way_n by_o work_v they_o in_o a_o hollow_a hemisphere_n with_o water_n and_o sand_n for_o those_o suppose_v they_o make_v with_o all_o the_o accurateness_n imaginable_a will_v be_v far_o short_a from_o be_v so_o well_o polish_a as_o these_o and_o want_v the_o stem_n or_o handle_v which_o these_o have_v they_o be_v infinite_o troublesome_a to_o remove_v or_o place_n or_o to_o cleanse_v when_o there_o shall_v be_v occasion_n take_v then_o a_o small_a rod_n of_o the_o clear_a and_o clean_a glass_n you_o can_v procure_v free_a if_o possible_a from_o blebb_n sand_n or_o vein_n then_o by_o melt_v it_o in_o the_o flame_n of_o a_o lamp_n make_v with_o spirit_n of_o wine_n or_o the_o clean_a and_o pure_a salad_n oil_n draw_v it_o out_o into_o exceed_v fine_a and_o small_a thread_n then_o take_v a_o small_a piece_n of_o these_o thread_n and_o in_o the_o same_o flame_n of_o the_o aforesaid_a lamp_n melt_v the_o end_n of_o it_o till_o you_o perceive_v it_o to_o run_v into_o a_o little_a ball_n or_o globule_n of_o the_o bigness_n desire_v then_o suffer_v it_o to_o cool_v and_o handle_v it_o by_o the_o aforesaid_a thread_n of_o glass_n which_o be_v as_o it_o be_v a_o handle_n to_o it_o fix_v it_o with_o a_o little_a wax_n upon_o the_o side_n of_o a_o thin_a plate_n of_o brass_n silver_n or_o the_o like_a that_o the_o middle_n of_o it_o may_v lie_v direct_o over_o the_o middle_n of_o a_o small_a hole_n prick_v through_o the_o say_v thin_a plate_n with_o a_o needle_n then_o hold_v this_o plate_n close_o to_o the_o eye_n look_v through_o the_o say_v little_a hole_n and_o thereby_o you_o may_v also_o see_v very_o clear_o through_o the_o aforesaid_a globule_n fix_v with_o wax_n on_o the_o side_n that_o be_v from_o the_o eye_n if_o then_o either_o by_o a_o little_a joint_v arm_n or_o by_o a_o little_a soft_a wax_n and_o a_o needle_n or_o a_o thin_a plate_n of_o muscovy_n glass_n you_o fix_v the_o object_n you_o will_v examine_v so_o that_o it_o may_v be_v at_o a_o due_a distance_n from_o the_o say_v little_a globule_n you_o will_v perceive_v the_o minute_n part_v thereof_o very_o distinct_a the_o focus_n of_o a_o sphere_n look_v on_o by_o the_o naked_a eye_n be_v about_o half_a the_o radius_fw-la of_o the_o sphere_n without_o the_o superficies_n of_o it_o but_o this_o be_v vary_v much_o by_o the_o age_n of_o the_o eye_n that_o look_v through_o it_o by_o the_o imagination_n also_o of_o the_o person_n and_o by_o the_o differ_v specifique_a refraction_n of_o the_o glass_n make_v use_v of_o by_o this_o mean_n i_o have_v prodigious_o magnify_v some_o small_a body_n insomuch_o that_o i_o have_v be_v able_a to_o see_v and_o distinguish_v the_o particle_n of_o body_n not_o only_o a_o million_o of_o time_n small_a than_o a_o visible_a point_n but_o even_o to_o make_v those_o visible_a whereof_o a_o million_o of_o million_o of_o they_o will_v hardly_o make_v the_o bulk_n of_o the_o small_a visible_a sand_n so_o prodigious_o do_v these_o exceed_a little_a globule_n of_o glass_n enlarge_v the_o prospect_n of_o humane_a sight_n into_o the_o more_o private_a recess_n of_o nature_n if_o the_o thing_n to_o be_v view_v be_v liquor_n they_o may_v be_v include_v either_o in_o those_o little_a pipe_n of_o mr_n leeuwenhoeck_n i_o new_o mention_v or_o else_o they_o may_v be_v put_v upon_o exceed_v thin_a plate_n of_o muscovy_n glass_n or_o selenites_n and_o the_o other_o side_n of_o the_o plate_n may_v be_v make_v to_o touch_v the_o globule_n or_o at_o least_o be_v fix_v at_o such_o distance_n as_o may_v make_v the_o part_n of_o the_o liquor_n distinct_a if_o you_o make_v use_v of_o a_o looking-glass_n plate_n to_o spread_v the_o liquor_n upon_o you_o will_v examine_v you_o may_v turn_v the_o liquor_n towards_o the_o globule_n and_o you_o may_v therein_o easy_o see_v all_o the_o part_n very_o distinct_o without_o at_o all_o hurt_v the_o prospect_n by_o the_o interposition_n of_o the_o muscovy_n glass_n which_o though_o it_o be_v exceed_o clear_a especial_o if_o the_o plate_n be_v very_o thin_a yet_o have_v it_o some_o flaw_n and_o some_o opacoufness_n in_o it_o which_o do_v somewhat_o cloud_v the_o prospect_n if_o further_o you_o will_v have_v a_o microscope_n with_o one_o single_a refraction_n and_o consequent_o capable_a of_o the_o great_a clearness_n and_o brightness_n that_o any_o one_o kind_n of_o microscope_n can_v possible_o be_v imagine_v susceptible_a of_o when_o you_o have_v fix_v one_o of_o these_o little_a globule_n as_o i_o have_v direct_v and_o spread_v a_o little_a of_o the_o liquor_n upon_o a_o piece_n of_o looking-glass_n plate_n then_o apply_v the_o say_a plate_n with_o the_o liquor_n next_o to_o the_o globule_n and_o gentle_o move_v it_o close_o to_o the_o globule_n till_o the_o liquor_n touch_n which_o do_v you_o will_v find_v the_o liquor_n present_o to_o adhere_v to_o the_o globule_n and_o still_o to_o adhere_v to_o it_o though_o you_o move_v it_o back_o again_o a_o little_a by_o which_o mean_n this_o liquor_n be_v of_o a_o specifique_a refraction_n not_o much_o differ_v from_o glass_n the_o second_o refraction_n be_v quite_o take_v off_o and_o little_a or_o none_o leave_v but_o that_o of_o the_o convex_a side_n of_o the_o globule_n next_o the_o eye_n by_o which_o mean_v as_o much_o of_o the_o inconvenience_n of_o refraction_n as_o be_v possible_a be_v remove_v and_o that_o by_o the_o easy_a and_o most_o practicable_a expedient_a that_o can_v be_v desire_v i_o can_v add_v various_a other_o way_n of_o make_v these_o globular_a body_n both_o of_o glass_n and_o other_o substance_n