Selected quad for the lemma: reason_n

Word A	Word B	Word C	Word D	Occurrence	Frequency Band	MI	MI Band	Prominent
reason_n	angle_n	equal_a	line_n	4,117	5	11.1250	5	true

Text snippets containing the quad

ID	Title	Author	Corrected Date of Publication (TCP Date of Publication)	STC	Words	Pages
A32704	Natural history of nutrition, life, and voluntary motion containing all the new discoveries of anatomist's and most probable opinions of physicians, concerning the oeconomie of human nature : methodically delivered in exercitations physico-anatomical / by Walt. Charlton ...	Charleton, Walter, 1619-1707.	1659 (1659)	Wing C3684; ESTC R9545	119,441	238

of_o plain_a concernment_n in_o the_o explication_n of_o it_o such_o as_o without_o which_o our_o disquisition_n into_o the_o nature_n of_o voluntary_a motion_n will_v be_v obscure_a and_o unsatisfactory_a fundament_n geometrical_a thereof_o principle_n geometrical_a of_o necessary_a importance_n towards_o the_o understanding_n thereof_o proposition_n 1._o what_o be_v equal_a to_o the_o same_o be_v equal_a also_o among_o themselves_o &_o è_fw-la contra_fw-la proposition_n 2._o all_o right_a line_n draw_v from_o the_o centre_n to_o the_o circumference_n be_v equal_a proposition_n 3._o two_o right_a line_n whatsoever_o mutual_o cut_v each_o other_o make_v at_o the_o vertex_fw-la angle_n equal_a among_o themselves_o proposition_n 4._o the_o square_n of_o equal_a line_n be_v equal_a proposition_n 5._o a_o right_a line_n fall_v upon_o two_o right_a line_n aequidistant_a or_o parallel_n make_v equal_a angle_n proposition_n 6._o in_o triangle_n where_o the_o angle_n be_v equal_a the_o side_n also_o be_v equal_a and_o proportional_a proposition_n 7._o in_o a_o triangle_n where_o any_o one_o angle_n be_v great_a there_o the_o side_n subtend_v that_o angle_n be_v also_o great_a proposition_n 8._o in_o every_o parallelogram_n the_o compliment_n of_o those_o parallellogram_n that_o be_v about_o the_o diameter_n be_v equal_a among_o themselves_o demonstration_n suppose_v a_o b_o c_o d_o the_o parallelogram_n a_o d_o the_o diameter_n or_o dimetient_fw-la and_o the_o supplement_n h_o b_o and_z h_o c._n we_o say_v the_o supplement_n h_o b._n be_v equal_a to_o the_o supplement_n h_o c._n because_o the_o parallelogram_n have_v for_o its_o diameter_n a_o d_o and_o therefore_o the_o triangle_n a_o b_o d._n be_v equal_a to_o the_o triangle_n a._n c_o d._n again_o because_o aegh_n have_v its_o diameter_n a_o h._n therefore_o the_o triangle_n a_o g_o h._n be_v equal_a to_o the_o triangle_n a_o e_o h._n by_o the_o same_o it_o be_v demonstrate_v that_o the_o triangle_n h_o f_o d._n be_v equal_a to_o the_o triangle_n h_o i_o d._n now_o since_o the_o triangle_n a_o g_o h._n be_v equal_a to_o i_o d_o and_z e_z h_z g._n equal_a to_o f_o d_o i_o it_o follow_v that_o the_o supplement_n h_o b._n be_v equal_a to_o h_n c._n which_o be_v to_o be_v demonstrate_v proposition_n 9_o if_o a_o straight_a line_n be_v divide_v into_o part_n equal_a and_o unequal_a the_o parallelogram_n that_o be_v contain_v in_o the_o unequal_a segment_n of_o the_o whole_a line_n give_v together_o with_o the_o square_n of_o that_o which_o be_v between_o the_o segment_n will_v be_v equal_a to_o the_o square_n describe_v by_o the_o half_a line_n demonstration_n let_v the_o right_a line_n be_v a_o b_o divide_v into_o equal_a part_n at_o the_o point_n c_o and_o into_o unequal_a at_o the_o point_n e._n let_v from_o the_o point_n a_o to_o the_o proportion_n of_o the_o equal_a segment_n be_v make_v a_o square_a a_o c_o g_o h_o and_o from_o the_o point_n e_o on_o the_o unequal_a segment_n be_v draw_v a_o parallel_a line_n e_o f_o and_o from_o the_o point_n a_o the_o diameter_n or_o dimetient_fw-la a_o h_n and_o a_o parallelogram_n e_o f_o b_o d._n we_o say_v the_o parallelogram_n e_o d._n with_o the_o square_a f_o h._n be_v equal_a to_o the_o square_a a_o h_n which_o be_v prove_v from_o the_o antecedent_n proposition_n 10._o to_o make_v a_o square_a equal_a to_o a_o parallelogram_n give_v let_v the_o parallelogram_n be_v a_o b_o c_o d._n to_o which_o to_o find_v a_o square_n equal_a draw_v a_o line_n from_o c_o to_o e_z to_o the_o proportion_n of_o g_o d_o and_o divide_v a_o e_o into_o equal_a part_n into_o the_o point_n f._n from_o whence_o make_v a_o circle_n a_o g_o e_o and_o continue_v the_o line_n c_o d_o to_o the_o point_n h._n we_o say_v the_o line_n c_o h._n be_v the_o root_n of_o the_o square_n i_o k_o c_o h._n which_o be_v in_o equal_a proportion_n to_o the_o parallelogram_n a_o b_o c_o d._n demonstration_n because_o the_o line_n ae_n be_v divide_v into_o equal_a part_n at_o the_o point_n f._n and_o into_o unequal_a part_n at_o the_o point_n c_o and_o the_o parallelogram_n contain_v in_o the_o unequal_a segment_n together_o with_o the_o square_a fc_n be_v equal_a to_o the_o square_a fh_n or_o fe_o the_o equal_a segment_n according_a to_o the_o nine_o proposition_n precedent_n it_o follow_v that_o the_o parallelogram_n abcd._n be_v equal_a to_o the_o square_a ikhc_n according_a to_o the_o 47._o proposition_n 1._o lib._n of_o euclid_n which_o be_v intend_v fundament_n architectonical_a out_o of_o vitruvius_n concernment_n principle_n architectonical_a of_o the_o same_o concernment_n lib._n 10._o cap._n 8._o proposition_n 1._o in_o the_o centre_n all_o gravity_n cease_v so_o that_o therein_o nothing_o be_v either_o heavy_a or_o light_n 2._o the_o power_n of_o all_o motion_n be_v vary_v according_a to_o the_o ration_n of_o the_o centre_n to_o the_o circumference_n 3._o by_o how_o much_o the_o more_o remote_a or_o elonge_v from_o the_o centre_n any_o thing_n be_v by_o so_o much_o the_o swift_a be_v it_o move_v 4._o by_o how_o much_o great_a the_o circumference_n of_o the_o circle_n so_o much_o great_a the_o diameter_n and_o so_o much_o swift_a the_o motion_n demonstration_n let_v the_o centre_n be_v e._n from_o which_o under_o the_o diameter_n e_o f._n let_v the_o weight_n be_v place_v at_o f._n we_o say_v this_o weight_n at_o f._n do_v not_o rest_v there_o but_o move_v to_o its_o centre_n towards_o c._n again_o if_o the_o same_o weight_n be_v elonge_v or_o remove_v to_o a_o then_o by_o reason_n of_o its_o great_a distance_n from_o e_o and_o of_o the_o great_a circle_n it_o will_v be_v move_v towards_o its_o centre_n c_o with_o the_o great_a velocity_n according_o 5._o body_n equal_a and_o under_o the_o same_o diameter_n equal_o distant_a from_o the_o centre_n do_v cut_n a_o perpendicular_a line_n at_o right_a angle_n demonstration_n in_o the_o former_a scheme_n let_v one_o body_n be_v at_o b_o and_z another_z at_o a._n upon_o the_o diameter_n of_o the_o circle_n who_o centre_n be_v e._n and_o neither_o of_o they_o shall_v move_v because_o their_o gravity_n be_v equal_a in_o that_o proportion_n of_o the_o diameter_n and_o so_o hasten_v to_o the_o centre_n c._n with_o equal_a swiftness_n but_o because_o they_o make_v equal_a angle_n with_o the_o perpendicular_a de._n 6._o if_o to_o one_o of_o two_o equal_a body_n place_v under_o the_o same_o diameter_n and_o equal_o distant_a from_o the_o centre_n any_o weight_n be_v superad_v that_o who_o weight_n be_v increase_v shall_v move_v more_o strong_o and_o make_v a_o acute_a angle_n with_o the_o perpendicular_a or_o whole_o obtain_v the_o place_n of_o the_o centre_n as_o in_o the_o last_o scheme_n the_o weight_n a_o be_v increase_v to_o the_o magnitude_n g_o and_o therefore_o it_o must_v move_v the_o more_o strong_o as_o be_v evident_o conclude_v and_o let_v these_o suffice_v for_o the_o fundamental_o to_o come_v to_o their_o concernment_n in_o the_o motion_n of_o the_o muscle_n we_o observe_v that_o every_o muscle_n have_v a_o twofold_a motion_n viz._n one_o natural_a wherein_o the_o fiber_n of_o the_o muscle_n spontaneous_o recontract_n themselves_o after_o they_o have_v be_v extend_v or_o restore_v themselves_o to_o their_o native_a tenor_n animal_n that_o every_o muscle_n have_v a_o twofold_a contraction_n viz._n natural_a and_o animal_n by_o philosopher_n name_v the_o motion_n of_o restitution_n common_a to_o all_o tensile_n body_n and_o this_o be_v always_o from_o the_o end_n towards_o the_o beginning_n of_o the_o muscle_n according_a to_o the_o position_n of_o its_o fiber_n another_o animal_n wherein_o the_o same_o fiber_n be_v further_o contract_v by_o the_o forcible_a and_o copious_a influx_n of_o animal_n spirit_n at_o the_o command_n of_o the_o soul_n in_o order_n to_o the_o performance_n of_o some_o action_n intend_v that_o the_o natural_a contraction_n of_o a_o muscle_n be_v not_o sufficient_a to_o voluntary_a motion_n animal_n that_o the_o natural_a contraction_n be_v not_o the_o cause_n of_o voluntary_a motion_n but_o only_o the_o animal_n though_o we_o allow_v every_o muscle_n to_o be_v make_v upon_o the_o stretch_n i.e._n in_o a_o extend_a position_n be_v manifest_a from_o hence_o that_o betwixt_o each_o muscle_n and_o its_o antagonist_n there_o be_v a_o equal_a power_n of_o naturally-moving_a themselves_o towards_o their_o original_n so_o that_o betwixt_o two_o contrary_a force_n the_o one_o draw_v one_o way_n the_o other_o the_o clean_a contrary_n the_o member_n must_v be_v hold_v immovable_a as_o appear_v in_o the_o 5_o proposit_a architectonical_a necessary_a it_o be_v therefore_o to_o voluntary_a motion_n that_o one_o muscle_n overpower_v the_o other_o not_o by_o reason_n of_o its_o spontaneous_a or_o natural_a contraction_n but_o of_o its_o impress_a or_o animal_n which_o depend_v upon_o the_o supply_n of_o spirit_n transmit_v from_o the_o