Selected quad for the lemma: end_n

Word A	Word B	Word C	Word D	Occurrence	Frequency Band	MI	MI Band	Prominent
end_n	draw_v	line_n	perpendicular_a	3,095	5	14.0786	5	true

Text snippets containing the quad

ID	Title	Author	Corrected Date of Publication (TCP Date of Publication)	STC	Words	Pages
A26045	Speculum nauticum a looking glasse for sea-men : wherein they may behold a small instrument called the plain scale whereby all questions nautical and propositions astronomical are very easily and demonstratively wrought ... / by Iohn Aspley.	Aspley, John.	1647 (1647)	Wing A4011; ESTC R27669	26,980	68

angle_n in_o the_o point_n a._o diameter_fw-la circuli_fw-la or_o the_o diameter_n of_o a_o circle_n be_v a_o right_a line_n draw_v through_o the_o centre_n of_o any_o circle_n in_o such_o sort_n that_o it_o may_v divide_v the_o circle_n into_o two_o equal_a part_n as_o you_o may_v see_v the_o line_n b._n a._n d._n be_v the_o diameter_n of_o the_o circle_n b._n c._n d._n e._n because_o it_o pass_v through_o the_o centre_n a._n and_o the_o two_o end_n thereof_o do_v divide_v the_o circle_n into_o two_o equal_a part_n in_o the_o two_o extreme_n b._n and_o d_o make_v the_o semicircle_n b._n c._n d._n equal_a unto_o the_o semicircle_n d._n e._n b._n semidiameter_n circuli_fw-la or_o the_o semidiameter_n of_o a_o circle_n be_v half_a of_o the_o diameter_n and_o be_v contain_v betwixt_o the_o centre_n and_o the_o one_o side_n of_o the_o circle_n as_o the_o line_n a_o d_o in_o the_o semidiameter_n of_o the_o circle_n b_o c_o d_o e._o semi-circulus_fw-la or_o a_o semicircle_n be_v the_o one_o half_a of_o a_o circle_n draw_v upon_o his_o diameter_n and_o be_v contain_v upon_o the_o superficies_n or_o surface_n of_o the_o diameter_n as_o the_o semicircle_n b_o c_o d_o which_o be_v half_a of_o the_o circle_n b_o c_o d_o e_o and_o be_v contain_v above_o the_o diameter_n b_o a_o d._n quadrant_n circuli_fw-la be_v the_o four_o part_n of_o a_o circle_n and_o be_v contain_v betwixt_o the_o semidiameter_n of_o the_o circle_n and_o a_o line_n draw_v perpendicular_a unto_o the_o diameter_n of_o the_o same_o circle_n from_o the_o centre_n thereof_o divide_v the_o semicircle_n into_o two_o equal_a part_n of_o the_o which_o part_n the_o one_o be_v the_o quadrant_a or_o four_o part_n of_o the_o same_o circle_n as_o for_o example_n the_o diameter_n of_o the_o circle_n b_o c_o d_o e_o be_v the_o line_n b_o a_o d_o divide_v the_o circle_n into_o two_o equal_a part_n then_o from_o the_o centre_n a_o raise_v the_o perpendicular_a a_o c_o divide_v the_o semicircle_n likewise_o into_o two_o equal_a part_n so_o as_o a_o b_o c_o or_o a_o c_o d_o the_o quasired_a chap._n ii_o the_o manner_n how_o to_o raise_v a_o perpendicular_a from_o the_o middle_a of_o a_o line_n give_v draw_v first_o a_o ground_n line_n whereupon_o you_o will_v have_v a_o perpendicular_a raise_v then_o open_v your_o compass_n unto_o any_o distance_n so_o it_o exceed_v not_o the_o end_n of_o your_o line_n place_v one_o foot_n of_o the_o say_a compass_n in_o the_o point_n from_o whence_o the_o perpendicular_a be_v to_o be_v raise_v and_o with_o the_o other_o foot_n make_v a_o mark_n in_o the_o line_n on_o both_o side_n then_o remove_v your_o compass_n unto_o any_o other_o distance_n that_o be_v great_a and_o set_v one_o foot_n thereof_o in_o one_o of_o the_o mark_n and_o with_o the_o other_o foot_n make_v a_o mark_n over_o the_o middle_a point_n then_o with_o the_o same_o distance_n of_o your_o compass_n set_v one_o foot_n in_o the_o other_o mark_n upon_o the_o line_n and_o with_o the_o other_o foot_n make_v another_o arch_n of_o a_o circle_n over_o the_o middle_a point_n so_o that_o it_o may_v cross_v the_o first_o arch_n and_o from_o the_o meeting_n of_o these_o two_o arch_n draw_v a_o right_a line_n unto_o the_o middle_a point_n from_o which_o the_o perpendicular_a be_v to_o be_v raise_v which_o line_n shall_v be_v the_o perpendicular_a desire_v example_n suppose_v your_o base_a or_o ground_n line_n whereupon_o a_o perpendicular_a be_v to_o be_v raise_v by_o the_o line_n f_o l_o k_o and_o from_o l_o the_o perpendicular_a be_v to_o be_v raise_v set_v one_o foot_n of_o your_o compass_n in_o the_o point_n l_o and_o with_o the_o other_o make_v the_o mark_n g_o and_o m_o on_o both_o side_n of_o the_o point_n l_o then_o open_v your_o compass_n wide_a set_v one_o foot_n in_o the_o point_n m_o and_o with_o the_o other_o draw_v the_o arch_a s_o over_o the_o point_n l_o then_o with_o the_o same_o distance_n of_o your_o compass_n set_v one_o foot_n in_o g_o and_o with_o the_o other_o make_v the_o arch_n r._n cross_v the_o arch_n s._n in_o the_o point_n t._n then_o from_o t._n draw_v the_o line_n t._n l._n which_o line_n be_v perpendicular_a unto_o the_o line_n f._n l._n k._n from_o the_o point_n l_o which_o be_v the_o perpendicular_a desire_v chap._n iii_o to_o let_v a_o perpendicular_a fall_n from_o any_o point_n assign_v unto_o the_o middle_n of_o a_o line_n let_v the_o line_n whereupon_o you_o will_v have_v a_o perpendicular_a let_v fall_v be_v the_o line_n l_o f_o k_o and_o the_o point_n assign_v to_o be_v the_o point_n t_o from_o whence_o you_o will_v have_v a_o perpendicular_a let_v fall_v upon_o the_o line_n f_o l_o k_o first_o set_v one_o foot_n of_o your_o compass_n in_o t_o and_o open_v your_o compass_n unto_o any_o distance_n so_o that_o it_o be_v more_o than_o the_o distance_n t_o l_o which_o here_o we_o suppose_v to_o be_v the_o distance_n t_o m_o then_o make_v in_o the_o line_n f_o l_o k_o the_o mark_n g_o and_o m_o then_o with_o your_o compass_n take_v the_o one_o half_a of_o g_o m_o which_o be_v in_o the_o point_n l_o then_o from_o l_o draw_v a_o line_n unto_o the_o point_n t_o so_o the_o line_n t_o l_o shall_v be_v the_o perpendicular_a which_o be_v desire_v to_o be_v let_v fall_v from_o the_o assign_a point_n t_o unto_o the_o middle_n of_o the_o line_n f_o l_o k._n chap._n iv._o to_o raise_v a_o perpendicular_a upon_o the_o end_n of_o a_o line_n suppose_v the_o line_n whereupon_o you_o will_v have_v a_o perpendicular_a raise_v be_v the_o line_n f_o l_o k_o and_o from_o the_o point_n f_o a_o perpendicular_a be_v to_o be_v raise_v first_o open_v your_o compass_n unto_o any_o distance_n which_o here_o we_o put_v to_o be_v the_o distance_n f_o g_o and_o set_v one_o foot_n of_o your_o compass_n in_o the_o point_n f_o and_o with_o the_o other_o draw_v the_o arch_n d_o e_o g_o then_o set_v one_o foot_n of_o your_o compass_n in_o the_o point_n g_o and_o with_o the_o other_o draw_v the_o arch_n e_o then_o place_v one_o point_n of_o your_o compass_n in_o f_o with_o the_o other_o draw_v the_o arch_n d_o b_o then_o place_v your_o compass_n in_o d_o and_o with_o the_o same_o distance_n draw_v the_o arch_n a_o cut_v the_o arch_n d_o b_o in_o c_o then_o draw_v a_o line_n from_o c_o unto_o the_o end_n of_o the_o line_n f_o l_o k_o unto_o the_o assign_a point_n f_o so_o shall_v the_o line_n g_o f_o be_v a_o perpendicular_a raise_v from_o the_o end_n of_o the_o line_n f_o l_o k_o and_o from_o the_o assign_a point_n f._n chap._n v._o to_o let_v a_o perpendicular_a fall_n from_o any_o point_n assign_v unto_o the_o end_n of_o a_o line_n let_v the_o line_n f_o l_o k_o be_v the_o base_a or_o ground_n line_n and_o from_o the_o point_n i_o a_o perpendicular_a be_v to_o be_v let_v fall_v upon_o the_o end_n of_o the_o line_n k_o first_o from_o the_o assign_a point_n i_o draw_v a_o line_n unto_o any_o part_n of_o the_o base_a which_o shall_v be_v the_o line_n ihm_o then_o find_v the_o middle_n of_o the_o line_n im_o which_o be_v at_o h_o place_n therefore_o one_o foot_n of_o your_o compass_n in_o the_o point_n h_o and_o extend_v the_o other_o unto_o i_o with_o which_o distance_n draw_v the_o arch_n ink_o upon_o the_o centre_n h_o cut_v the_o base_a or_o ground-line_n in_o the_o point_n k_o then_o draw_v the_o line_n ki_n which_o line_n shall_v be_v the_o perpendicular_a desire_v now_o i_o doubt_v not_o but_o you_o understand_v the_o way_n to_o let_v fall_n or_o to_o raise_v any_o manner_n of_o perpendicular_a line_n either_o from_o or_o upon_o any_o part_n of_o a_o line_n therefore_o now_o i_o intend_v to_o proceed_v unto_o the_o main_a point_n here_o aim_v at_o which_o be_v to_o declare_v and_o make_v know_v unto_o you_o the_o several_a operation_n perform_v by_o the_o plain_a scale_n which_o though_o it_o be_v in_o use_n with_o very_a few_o yet_o it_o be_v most_o necessary_a with_o seaman_n because_o all_o question_n in_o navigation_n be_v thereby_o easy_o and_o plain_o wrought_v and_o also_o all_o question_n in_o astronomy_n belong_v unto_o the_o expert_a and_o industrious_a seaman_n may_v both_o speedy_o and_o easy_o be_v wrought_v by_o the_o same_o scale_n in_o regard_n whereof_o i_o have_v declare_v in_o this_o little_a book_n that_o knowledge_n which_o god_n have_v be_v please_v to_o bestow_v upon_o i_o concerning_o the_o necessary_a use_n and_o practice_n thereof_o hope_v that_o you_o will_v as_o kind_o accept_v it_o as_o it_o be_v free_o offer_v unto_o your_o courteous_a consideration_n the_o figure_n of_o the_o plain_a scale_n chap._n vi_o of_o the_o description_n of_o the_o scale_n this_o scale_n usual_o be_v