which_o it_o be_v inscribe_v so_o that_o the_o compliment_n of_o the_o spiral_n that_o be_v that_o space_n in_o the_o circle_n which_o be_v without_o the_o spiral_n line_n be_v double_a to_o the_o space_n within_o the_o spiral_n line_n in_o the_o same_o manner_n if_o there_o be_v take_v a_o mean_a proportional_a every_o where_o between_o the_o semidiameter_n of_o the_o circle_n which_o contain_v the_o spiral_n and_o that_o part_n of_o the_o semidiameter_n which_o be_v within_o the_o same_o there_o will_v be_v make_v another_o figure_n which_o will_v be_v half_a the_o circle_n and_o to_o conclude_v this_o rule_n serve_v for_o all_o such_o space_n as_o may_v be_v describe_v by_o a_o line_n or_o superficies_n decrease_v either_o in_o magnitude_n or_o power_n so_o that_o if_o the_o proportion_n in_o which_o they_o decrease_v be_v commensurable_a to_o the_o proportion_n of_o the_o time_n in_o which_o they_o decrease_v the_o magnitude_n of_o the_o figure_n they_o describe_v will_v be_v know_v 12_o the_o truth_n of_o that_o proposition_n which_o i_o demonstrate_v in_o the_o second_o article_n which_o be_v the_o foundation_n of_o all_o that_o have_v be_v say_v concern_v deficient_a figure_n may_v be_v derive_v from_o the_o element_n of_o philosophy_n as_o have_v iâ—â—_n original_n in_o this_o that_o all_o equality_n and_o inequality_n between_o two_o effect_n that_o be_v all_o proportion_n proceed_v from_o and_o be_v determine_v by_o the_o equal_a and_o unequal_a cause_n of_o those_o effect_n or_o from_o the_o proportion_n which_o the_o cause_n concur_v to_o one_o effect_n have_v to_o the_o cause_n which_o concur_v to_o the_o produce_v of_o the_o other_o effect_n and_o that_o therefore_o the_o proportion_n of_o quantity_n be_v the_o same_o with_o the_o proportion_n of_o their_o cause_n see_v therefore_o two_o deficient_a figure_n of_o which_o one_o be_v the_o compliment_n of_o the_o other_o be_v make_v one_o by_o motion_n decrease_v in_o a_o certain_a time_n and_o proportion_n the_o other_o by_o the_o loss_n of_o motion_n in_o the_o same_o time_n the_o cause_n which_o make_v and_o determine_v the_o quantity_n of_o both_o the_o figure_n so_o that_o they_o can_v be_v no_o other_o than_o they_o be_v differ_v only_o in_o this_o that_o the_o proportion_n by_o which_o the_o quantity_n which_o generate_v the_o figure_n proceed_v in_o describe_v of_o the_o same_o that_o be_v the_o proportion_n of_o the_o remainder_n of_o all_o the_o time_n and_o altitude_n may_v be_v other_o proportion_n then_o those_o by_o which_o the_o same_o generate_a quantity_n decrease_v in_o make_v the_o compliment_n of_o that_o figure_n that_o be_v the_o proportion_n of_o the_o quantity_n which_o generate_v the_o figure_n continual_o diminish_v wherefore_o as_o the_o proportion_n of_o the_o quantity_n in_o which_o motion_n be_v lose_v be_v to_o that_o of_o the_o decrease_a quantity_n by_o which_o the_o deficient_a figure_n be_v generate_v so_o will_v the_o defect_n or_o compliment_n be_v to_o the_o figure_n itself_o which_o be_v generate_v 13_o there_o be_v also_o other_o quantity_n which_o be_v determinable_a from_o the_o knowledge_n of_o their_o cause_n namely_o from_o the_o comparison_n of_o the_o motion_n by_o which_o they_o be_v make_v and_o that_o more_o easy_o then_o from_o the_o common_a element_n of_o geometry_n for_o example_n that_o the_o superficies_n of_o any_o portion_n of_o a_o sphere_n be_v equal_a to_o that_o circle_n who_o radius_fw-la be_v a_o straight_a line_n draw_v from_o the_o pole_n of_o the_o portion_n to_o the_o circumference_n of_o its_o base_a i_o may_v demonstrate_v in_o this_o manner_n let_v b_o a_o c_o in_o the_o 7_o figure_n be_v a_o portion_n of_o a_o sphere_n who_o axis_n be_v a_o e_o &_o who_o base_a be_v b_o c_o &_o let_v a_o b_o be_v the_o straight_a line_n draw_v from_o the_o pole_n a_o to_o the_o base_a in_o b_o and_o let_v a_o d_o equal_a to_o a_o b_o touch_v the_o great_a circle_n b_o a_o c_o in_o the_o pole_n a._n it_o be_v to_o be_v prove_v that_o the_o circle_n make_v by_o the_o radius_fw-la a_o d_o be_v equal_a to_o the_o superficies_n of_o the_o portion_n b_o a_o c._n let_v the_o plain_n a_o e_o b_o d_o be_v understand_v to_o make_v a_o revolution_n about_o the_o axis_n a_o e_o &_o it_o be_v manifest_a that_o by_o the_o straight_a line_n a_o d_o a_o circle_n will_v be_v describe_v and_o by_o the_o arch_n a_o b_o the_o superficies_n of_o a_o portion_n of_o a_o sphere_n and_o last_o by_o the_o subtense_n a_o b_o the_o superficies_n of_o a_o right_a cone_n now_o see_v both_o the_o straight_a line_n a_o b_o and_o the_o arch_n a_o b_o make_v one_o and_o the_o same_o revolution_n and_o both_o of_o they_o have_v the_o same_o extreme_a point_n a_o and_o b_o the_o cause_n why_o the_o the_o spherical_a superficies_n which_o be_v make_v by_o the_o arch_n be_v great_a than_o the_o conical_a superficies_n which_o be_v make_v by_o the_o subtense_n be_v that_o a_o b_o the_o arch_n be_v great_a than_o a_o b_o the_o subtense_n and_o the_o cause_n why_o it_o be_v great_a consist_v in_o this_o that_o although_o they_o be_v both_o draw_v from_o a_o to_o b_o yet_o the_o subtense_n be_v draw_v straight_o but_o the_o arch_n angular_o namely_o according_a to_o that_o angle_n which_o the_o arch_n make_v with_o the_o subtense_n which_o angle_n be_v equal_a to_o the_o angle_n d_o a_o b_o for_o a_o angle_n of_o contingence_n add_v nothing_o to_o a_o angle_n of_o a_o segment_n as_o have_v be_v show_v in_o the_o 14_o chapter_n at_o the_o 16_o article_n wherefore_o the_o magnitude_n of_o the_o angle_n d_o a_o b_o be_v the_o cause_n why_o the_o superficies_n of_o the_o portion_n describe_v by_o the_o arch_n a_o b_o be_v great_a than_o the_o superficies_n of_o the_o right_a cone_n describe_v by_o the_o subtense_n a_o b._n again_o the_o cause_n why_o the_o circle_n describe_v by_o the_o tangent_fw-la a_o d_o be_v great_a than_o the_o superficies_n of_o the_o right_a cone_n describe_v by_o the_o subtense_n a_o b_o notwitstand_v that_o the_o tangent_fw-la and_o the_o subtense_n be_v equal_a and_o both_o move_v round_o in_o the_o same_o time_n be_v this_o that_o a_o d_o stand_v at_o right_a angle_n to_o the_o axis_n but_o a_o b_o oblique_o which_o obliquity_n consist_v in_o the_o same_o angle_n d_o a_o b._n see_v therefore_o the_o quantity_n of_o the_o angle_n d_o a_o b_o be_v that_o which_o make_v the_o excess_n both_o of_o the_o superficies_n of_o the_o portion_n and_o of_o the_o circle_n make_v by_o the_o radius_fw-la a_o d_o above_o the_o superficies_n of_o the_o right_a cone_n describe_v by_o the_o subtense_n a_o b_o it_o follow_v that_o both_o the_o superficies_n of_o the_o portion_n and_o that_o of_o the_o circle_n do_v equal_o exceed_v the_o superficies_n of_o the_o cone_n wherefore_o the_o circle_n make_v by_o a_o d_o or_o a_o b_o and_o the_o spherical_a superficies_n make_v by_o the_o arch_n a_o b_o be_v equal_a to_o one_o another_o which_o be_v to_o be_v prove_v â—4_n if_o these_o deficient_a figure_n which_o i_o have_v describe_v in_o a_o 〈◊〉_d be_v capable_a of_o exact_a description_n than_o any_o number_n of_o mean_a proportional_n may_v be_v find_v out_o between_o two_o straight_a line_n give_v for_o example_n in_o the_o parallelogram_n a_o b_o c_o d_o in_o the_o 8_o figure_n let_v the_o threesided_n figure_n of_o two_o mean_n be_v describe_v which_o many_o call_v a_o cubical_a parabola_fw-la and_o let_v r_o and_o s_o be_v two_o give_v straight_o line_n between_o which_o if_o it_o be_v require_v to_o find_v two_o mean_a proportional_n it_o may_v be_v do_v thus_o let_v it_o be_v as_o r_o to_o saint_n so_o b_o c_z to_z b_o f_o and_o let_v f_o e_z be_v draw_v parallel_n to_o b_o a_o and_o cut_v the_o crooked_a line_n in_o e_z then_z through_z e_z let_v g_o h_n be_v draw_v parallel_n and_o equal_a to_o the_o straight_a line_n a_o d_o and_o cut_v the_o diagonal_a b_o d_o in_o i_o for_o thus_o we_o have_v g_o i_o the_o great_a of_o two_o mean_n between_o g_o h_n and_o g_o e_o as_o appear_v by_o the_o description_n of_o the_o figure_n in_o the_o four_o article_n wherefore_o if_o it_o be_v as_o g_z h_z to_z g_z ay_o so_o r_o to_o another_o line_n t_o that_o t_n will_v be_v the_o great_a of_o two_o mean_n between_o r_o and_o s._n and_o therefore_o if_o it_o be_v again_o as_o r_o to_o t_n so_o t_n to_o another_o line_n x_o that_o will_v be_v do_v which_o be_v require_v in_o the_o same_o manner_n four_o mean_a proportional_n may_v be_v find_v out_o by_o the_o description_n of_o a_o threesided_n figure_n of_o four_o mean_n and_o so_o any_o other_o number_n of_o mean_n etc._n etc._n chap._n xviii_o of_o the_o equation_n of_o straight_a line_n with_o the_o
to_o itself_o so_o that_o in_o what_o part_n soever_o of_o the_o ecliptic_a the_o centre_n of_o the_o epicycle_n be_v find_v and_o in_o what_o part_n soever_o of_o the_o epicycle_n the_o centre_n of_o the_o earth_n be_v find_v at_o the_o same_o time_n the_o axis_n of_o the_o earth_n will_v be_v parallel_n to_o the_o place_n where_o the_o same_o axis_n will_v have_v be_v if_o the_o centre_n of_o the_o earth_n have_v never_o go_v out_o of_o the_o ecliptic_a now_o as_o i_o have_v demonstrate_v the_o simple_a annual_a motion_n of_o the_o earth_n from_o the_o supposition_n of_o simple_a motion_n in_o the_o sun_n so_o from_o the_o supposition_n of_o simple_a motion_n in_o the_o earth_n may_v be_v demonstrate_v the_o monthly_a simple_a motion_n of_o the_o moon_n for_o if_o the_o name_n be_v but_o change_v the_o demonstration_n will_v be_v the_o same_o and_o therefore_o need_v not_o be_v repeat_v 7_o that_o which_o make_v this_o supposition_n of_o the_o sun_n simple_a motion_n in_o the_o epicycle_n fghi_fw-mi probable_a be_v first_o that_o the_o period_n of_o all_o the_o planet_n be_v not_o only_o describe_v about_o the_o sun_n but_o so_o describe_v as_o that_o they_o be_v all_o contain_v within_o the_o zodiac_n that_o be_v to_o say_v within_o the_o latitude_n of_o about_o 16_o degree_n for_o the_o cause_n of_o this_o seem_v to_o depend_v upon_o some_o power_n in_o the_o sun_n especial_o in_o that_o part_n of_o the_o sun_n which_o respect_v the_o zodiac_n second_o that_o in_o the_o whole_a coâ—passe_n of_o the_o heaven_n there_o appear_v no_o other_o body_n from_o which_o the_o cause_n of_o this_o phaenomenon_n can_v in_o probability_n be_v derive_v beside_o i_o can_v not_o imagine_v that_o so_o many_o and_o such_o various_a motion_n of_o the_o planet_n shall_v have_v no_o dependence_n at_o all_o upon_o one_o another_o but_o by_o suppose_v motive_n power_n in_o the_o sun_n we_o suppose_v motion_n also_o for_o power_n to_o move_v without_o motion_n be_v no_o power_n at_o all_o i_o have_v therefore_o suppose_v that_o there_o be_v in_o the_o sun_n for_o the_o govern_n of_o the_o primary_n planet_n and_o in_o the_o earth_n for_o the_o govern_n of_o the_o moon_n such_o motion_n as_o be_v receive_v by_o the_o primary_n planet_n and_o by_o the_o moon_n make_v they_o necessary_o appear_v to_o we_o in_o such_o manner_n as_o we_o see_v they_o whereas_o that_o circular_a motion_n which_o be_v common_o attribute_v to_o they_o about_o a_o fix_a axis_n which_o be_v call_v conversion_n be_v a_o motion_n of_o their_o part_n only_o and_o not_o of_o their_o whole_a body_n be_v insufficient_a to_o salve_v their_o appearance_n for_o see_v whatsoever_o be_v so_o move_v have_v no_o endeavour_n at_o all_o towards_o those_o part_n which_o be_v without_o the_o circle_n they_o have_v no_o power_n to_o propagate_v any_o endeavour_n to_o such_o body_n as_o be_v place_v without_o it_o and_o as_o for_o they_o that_o suppose_v this_o may_v be_v do_v by_o magnetical_a virtue_n or_o by_o incorporeal_a and_o immaterial_a species_n they_o suppose_v no_o natural_a cause_n nay_o no_o cause_n at_o all_o for_o there_o be_v no_o such_o thing_n as_o a_o incorporeal_a movent_fw-la and_o magnetical_a virtue_n be_v a_o thing_n altogether_o unknown_a and_o whensoever_o it_o shall_v be_v know_v it_o will_v be_v find_v to_o be_v a_o motion_n of_o body_n it_o remain_v therefore_o that_o if_o the_o primary_n planet_n be_v carry_v about_o by_o the_o sun_n and_o the_o moon_n by_o the_o earth_n they_o have_v the_o simple_a circular_a motion_n of_o the_o sun_n and_o the_o earth_n for_o the_o cause_n of_o their_o circulation_n otherwise_o if_o they_o be_v not_o carry_v about_o by_o the_o sun_n and_o the_o earth_n but_o that_o every_o planet_n have_v be_v move_v as_o it_o be_v now_o move_v ever_o since_o it_o be_v make_v there_o will_v be_v of_o their_o motion_n no_o cause_n natural_a for_o either_o these_o motion_n be_v concreated_a with_o their_o body_n and_o their_o cause_n be_v supernatural_a or_o they_o be_v coeternal_a with_o they_o and_o so_o they_o have_v no_o cause_n at_o all_o for_o whatsoever_o be_v eternal_a be_v never_o generate_v i_o may_v add_v beside_o to_o confirm_v the_o probability_n of_o this_o simple_a motion_n that_o almost_o all_o learned_a man_n be_v now_o of_o the_o same_o opinion_n with_o copernicus_n concern_v the_o parallelisme_n of_o the_o axis_n of_o the_o earth_n it_o seem_v to_o i_o to_o be_v more_o agreeable_a to_o truth_n or_o at_o least_o more_o handsome_a that_o it_o shall_v be_v cause_v by_o simple_a circular_a motion_n alone_o than_o by_o two_o motion_n one_o in_o the_o ecliptic_a and_o the_o other_o about_o the_o earth_n own_o axis_n the_o contrary_a way_n neither_o of_o they_o simple_a nor_o either_o of_o they_o such_o as_o may_v be_v produce_v by_o any_o motion_n of_o the_o sun_n i_o think_v best_a therefore_o to_o retain_v this_o hypothesis_n of_o simple_a motion_n and_o from_o it_o to_o derive_v the_o cause_n of_o as_o many_o of_o the_o phaenomena_n as_o i_o can_v and_o to_o let_v such_o alone_a as_o i_o can_v not_o deduce_v frm_n thence_o it_o will_v perhaps_o be_v object_v that_o although_o by_o this_o supposition_n the_o reason_n may_v be_v give_v of_o the_o parallelisme_n of_o the_o axis_n of_o the_o earth_n and_o of_o many_o other_o appearance_n nevertheless_o see_v it_o be_v do_v by_o place_v the_o body_n of_o the_o sun_n in_o the_o centre_n of_o that_o orb_n which_o the_o earth_n describe_v with_o its_o annual_a motion_n the_o supposition_n itself_o be_v false_a because_o this_o annual_a orb_n be_v excentrique_fw-la to_o the_o sun_n in_o the_o first_o place_n therefore_o let_v we_o examine_v what_o that_o excentricity_n be_v and_o whence_o it_o proceed_v 8_o let_v the_o annual_a circle_n of_o the_o earth_n abcd_v in_o the_o same_o 3d_o figure_n be_v divide_v into_o four_o equal_a part_n by_o the_o straight_a line_n ac_fw-la &_o bd_v cut_v one_o another_o in_o the_o centre_n e_o and_o let_v a_o be_v the_o beginning_n of_o libra_n b_o of_o capricorn_n c_o of_o aries_n and_o d_o of_o cancer_n and_o let_v the_o whole_a orb_n abcd_v be_v understand_v according_a to_o copernicus_n to_o have_v every_o way_n so_o great_a distance_n from_o the_o zodiac_n of_o the_o fix_a star_n that_o it_o be_v in_o comparison_n with_o it_o but_o as_o a_o point_n let_v the_o earth_n be_v now_o suppose_v to_o be_v in_o the_o begin_n of_o libra_n at_o a._n the_o sun_n therefore_o will_v appear_v in_o the_o begin_n of_o aries_n at_o c._n wherefore_o if_o the_o earth_n be_v move_v from_o a_o to_o b_o the_o apparent_a motion_n of_o the_o sun_n will_v be_v from_o c_o to_o the_o begin_n of_o cancer_n in_o d_o and_o the_o earth_n be_v move_v forward_o from_o b_o to_z c_o the_o sun_n also_o will_v appear_v to_o be_v move_v forward_o to_o the_o begin_n of_o libra_n in_o a_o wherefore_o cda_n will_v be_v the_o summer_n arch_n and_o the_o winter_n arch_n will_v be_v abc_n now_o in_o the_o time_n of_o the_o sun_n apparent_a motion_n in_o the_o summer_n arch_n there_o be_v number_v 186¾_n day_n and_o consequent_o the_o earth_n make_v in_o the_o same_o time_n the_o same_o number_n of_o diurnal_a conversion_n in_o the_o arch_a abc_n and_o therefore_o the_o earth_n in_o its_o motion_n through_o the_o arch_n cda_fw-mi will_v make_v only_a 178½_n diurnal_a conversion_n wherefore_o the_o arch_a a_o b_o c_o aught_o to_o be_v great_a than_o the_o arch_n c_o d_o a_o by_o 8¼_n day_n that_o be_v to_o say_v by_o almost_o so_o many_o degree_n let_v the_o arch_a a_o r_o as_o also_o c_o s_o be_v each_o of_o they_o a_o arch_n of_o two_o degree_n and_o 1_o 16._o wherefore_o the_o arch_n r_o b_o s_o will_v be_v great_a than_o the_o semicircle_n a_o b_o c_o by_o 4_o degree_n and_o â…›_n and_o great_a than_o the_o arch_n s_o d_o r_o by_o 8_o degree_n and_o ¼_n the_o equinox_n therefore_o will_v be_v in_o the_o point_n r_o &_o s_o and_o therefore_o also_o when_o the_o earth_n be_v in_o r_o the_o sun_n will_v appear_v in_o s._n wherefore_o the_o true_a place_n of_o the_o sun_n will_v be_v in_o it_o that_o be_v to_o say_v without_o the_o centre_n of_o the_o earth_n annual_a motion_n by_o the_o quantity_n of_o the_o sine_fw-la of_o the_o arch_a a_o r_o or_o the_o sine_fw-la of_o two_o degree_n and_o 16_o minute_n now_o this_o sine_fw-la put_v 100000_o for_o the_o radius_fw-la will_v be_v near_o 3580_o part_n thereof_o and_o so_o munh_o be_v the_o excentricity_n of_o the_o earth_n annual_a motion_n provide_v that_o that_o motion_n be_v in_o a_o perfect_a circle_n and_o s_z &_o r_o be_v the_o equinoctial_a point_n and_o the_o straight_a line_n his_o r_o &_o c_o asleep_o produce_v both_o way_n till_o they_o
of_o the_o part_n of_o those_o plant_n make_v a_o odorous_a liquor_n so_o also_o of_o air_n pass_v through_o the_o same_o plant_n while_o they_o be_v grow_v be_v make_v odorous_a air_n and_o thus_o also_o it_o be_v with_o the_o juice_n and_o spirit_n which_o be_v breed_v in_o live_v creature_n 16_o that_o odorous_a body_n may_v be_v make_v more_o odorous_a by_o contrition_n proceed_v from_o this_o that_o be_v break_v into_o many_o part_n which_o be_v all_o odorous_a the_o air_n which_o by_o respiration_n be_v draw_v from_o the_o object_n towards_o the_o organ_n do_v in_o its_o passage_n touch_v upon_o all_o those_o part_n and_o receive_v their_o motion_n now_o the_o air_n touch_v the_o superficies_n only_o and_o a_o body_n have_v less_o superficies_n while_o it_o be_v whole_a than_o all_o its_o part_n together_o have_v after_o it_o be_v reduce_v to_o powder_n it_o follow_v that_o the_o same_o odorous_a body_n yield_v less_o smell_n while_o it_o be_v whole_a than_o it_o will_v do_v after_o it_o be_v break_v into_o small_a part_n and_o thus_o much_o of_o smell_v 17_o the_o taste_n follow_v who_o generation_n have_v this_o difference_n from_o that_o of_o the_o sight_n hear_v and_o smell_a that_o by_o these_o we_o have_v sense_n of_o remote_a object_n whereas_o we_o taste_v nothing_o but_o what_o be_v contiguous_a and_o do_v immediate_o touch_v either_o the_o tongue_n or_o palate_n or_o both_o from_o whence_o it_o be_v evident_a that_o the_o cuticle_n of_o the_o tongue_n and_o palate_n and_o the_o nerve_n insert_v into_o they_o be_v the_o first_o organ_n of_o taste_n and_o because_o from_o the_o concussion_n of_o the_o part_n of_o these_o there_o follow_v necessary_o a_o concussion_n of_o the_o pia_fw-la mater_fw-la that_o the_o action_n communicate_v to_o these_o be_v propagate_v to_o the_o brain_n and_o from_o thence_o to_o the_o far_a organ_n namely_o the_o heart_n in_o who_o reaction_n consist_v the_o nature_n of_o sense_n now_o that_o savour_v as_o well_o as_o odour_n do_v not_o only_o move_v the_o brain_n but_o the_o stomach_n also_o as_o be_v manifest_a by_o the_o loathe_n that_o be_v cause_v by_o they_o both_o they_o that_o consider_v the_o organ_n of_o both_o these_o sense_n will_v not_o wonder_v at_o all_o see_v the_o tongue_n the_o palate_n &_o the_o nostril_n have_v one_o and_o the_o same_o continue_a cuticle_n derive_v from_o the_o dura_n mater_n and_o that_o effluvium_n have_v nothing_o to_o do_v in_o the_o sense_n of_o taste_v be_v manifest_a from_o this_o that_o there_o be_v no_o taste_n where_o the_o organ_n and_o the_o object_n be_v not_o contiguous_a by_o what_o variety_n of_o motion_n the_o different_a kind_n of_o taste_n which_o be_v innumerable_a may_v be_v distinguish_v i_o know_v not_o i_o may_v with_o other_o derive_v they_o from_o the_o divers_a figure_n of_o those_o atom_n of_o which_o whatsoever_o may_v be_v taste_v consist_v or_o from_o the_o diverse_a motion_n which_o i_o may_v by_o way_n of_o supposition_n attribute_v to_o those_o atom_n conjecture_v not_o without_o some_o likelihood_n of_o truth_n that_o such_o thing_n as_o taste_v sweet_a have_v their_o particle_n move_v with_o slow_a circular_a motion_n and_o their_o figure_n spherical_a which_o make_v they_o smooth_a and_o please_a to_o the_o organ_n that_o bitter_a thing_n have_v circular_a motion_n but_o vehement_a and_o their_o figure_n full_a of_o angle_n by_o which_o they_o trouble_v the_o organ_n and_o that_o sour_a thing_n have_v straight_o and_o reciprocal_a motion_n and_o their_o figure_n long_o and_o small_a so_o that_o they_o cut_v and_o wound_v the_o organ_n and_o in_o like_a manner_n i_o may_v assign_v for_o the_o cause_n of_o other_o taste_v such_o several_a motion_n and_o figure_n of_o atom_n as_o might_n in_o probability_n seem_v to_o be_v the_o true_a cause_n but_o this_o will_v be_v to_o revolt_v from_o philosophy_n to_o divination_n 18_o by_o the_o touch_n we_o feel_v what_o body_n be_v cold_a or_o hot_a though_o they_o be_v distant_a from_o we_o other_o as_o hard_a soft_a rough_a and_o smooth_a we_o can_v feel_v unless_o they_o be_v contiguous_a the_o organ_n of_o touch_n be_v every_o one_o of_o those_o membrane_n which_o be_v continue_v from_o the_o pia_fw-la mater_fw-la be_v so_o diffuse_v throughout_o the_o whole_a body_n as_o that_o no_o part_n of_o it_o can_v be_v press_v but_o the_o pia_n mater_n be_v press_v together_o with_o it_o whatsoever_o therefore_o press_v it_o be_v feel_v as_o hard_a or_o soft_a that_o be_v to_o say_v as_o more_o or_o less_o hard._n and_o as_o for_o the_o sense_n of_o rough_a it_o be_v nothing_o else_o but_o innumerable_a perception_n of_o hard_a and_o hard_o succeed_v one_o another_o by_o short_a interval_n both_o of_o time_n and_o place_n for_o we_o take_v notice_n of_o rough_a and_o smooth_a as_o also_o of_o magnitude_n and_o figure_n not_o only_o by_o the_o touch_n but_o also_o by_o memory_n for_o though_o some_o thing_n be_v touch_v in_o one_o point_n yet_o rough_a and_o smooth_a like_a quantity_n and_o figure_n be_v not_o perceive_v but_o by_o the_o flux_n of_o a_o point_n that_o be_v to_o say_v we_o have_v no_o sense_n of_o they_o without_o time_n and_o we_o can_v have_v no_o sense_n of_o time_n without_o memory_n chap._n xxx_o of_o gravity_n 1_o a_o thick_a body_n do_v not_o contain_v more_o matter_n unless_o also_o more_o place_n than_o a_o thin_a 2_o that_o the_o descent_n of_o heavy_a body_n proceed_v not_o from_o their_o own_o appetite_n but_o from_o some_o power_n of_o the_o earth_n 3_o the_o difference_n of_o gravity_n proceed_v from_o the_o difference_n of_o the_o impetus_fw-la with_o which_o the_o element_n whereof_o heavy_a body_n be_v make_v do_v fall_v upon_o the_o earth_n 4_o the_o cause_n of_o the_o descent_n of_o heavy_a body_n 5_o in_o what_o proportion_n the_o descent_n of_o heavy_a body_n be_v accelerate_a 6_o why_o those_o that_o dive_v do_v not_o when_o they_o be_v under_o water_n feel_v the_o weight_n of_o the_o water_n above_o they_o 7_o the_o weight_n of_o a_o body_n that_o float_v be_v equal_a to_o the_o weight_n of_o so_o much_o water_n as_o will_v fill_v the_o space_n which_o the_o immersed_a part_n of_o the_o body_n take_v up_o within_o the_o water_n 8_o if_o a_o body_n be_v light_a than_o water_n then_o how_o big_a soever_o that_o body_n be_v it_o will_v float_v upon_o any_o quantity_n of_o water_n how_o little_a soever_o 9_o how_o water_n may_v be_v lift_v up_o and_o force_v out_o of_o a_o vessel_n by_o air._n 10_o why_o a_o bladder_n be_v heavy_a when_o blow_v full_a of_o air_n then_o when_o it_o be_v empty_a 11_o the_o cause_n of_o the_o ejection_n upward_o of_o heavy_a body_n from_o a_o windgun_n 12_o the_o cause_n of_o the_o ascent_n of_o water_n in_o a_o weatherglass_n 13_o the_o cause_n of_o motion_n upward_o in_o live_v creature_n 14_o that_o there_o be_v in_o nature_n a_o kind_n of_o body_n heavy_a than_o air_n which_o nevertheless_o be_v not_o by_o sense_n distinguishable_a from_o it_o 15_o of_o the_o cause_n of_o magnetical_a virtue_n 1_o in_o the_o 21_o chapter_n i_o have_v define_v thick_a and_o thin_a as_o that_o place_n require_v so_o as_o that_o by_o thick_a be_v signify_v a_o more_o resist_a body_n and_o by_o thin_a a_o body_n less_o resist_v follow_v the_o custom_n of_o those_o that_o have_v before_o i_o discourse_v of_o refraction_n now_o if_o we_o consider_v the_o true_a and_o vulgar_a signification_n of_o those_o word_n we_o shall_v find_v they_o to_o be_v name_n collective_a that_o be_v to_o say_v name_n of_o multitude_n as_o thick_a to_o be_v that_o which_o take_v up_o more_o part_n of_o a_o space_n give_v &_o thin_a that_o which_o contain_v few_o part_n of_o the_o same_o magnitude_n in_o the_o same_o space_n or_o in_o a_o space_n equal_a to_o it_o thick_o therefore_o be_v the_o same_o with_o frequent_a as_o a_o thick_a troop_n and_o thin_a the_o same_o with_o unfrequent_a as_o a_o thin_a rank_n thin_a of_o house_n not_o that_o there_o be_v more_o matter_n in_o one_o place_n then_o in_o another_o equal_a place_n but_o a_o great_a quantity_n of_o some_o name_v body_n for_o there_o be_v not_o less_o matter_n or_o body_n indefinite_o take_v in_o a_o desert_n then_o there_o be_v in_o a_o city_n but_o few_o house_n or_o few_o men._n nor_o be_v there_o in_o a_o thick_a rank_n a_o great_a quantity_n of_o body_n but_o a_o great_a number_n of_o soldier_n then_o in_o a_o thin_a wherefore_o the_o multitude_n &_o paucity_n of_o the_o part_n contain_v within_o the_o same_o space_n do_v constitute_v density_n and_o rarity_n whether_o those_o part_n be_v separate_v by_o vacuum_n or_o by_o air_n but_o the_o consideration_n of_o this_o be_v not_o of_o any_o great_a moment_n in_o philosophy_n and_o therefore_o i_o let_v