Selected quad for the lemma: lord_n

Word A	Word B	Word C	Word D	Occurrence	Frequency Band	MI	MI Band	Prominent
lord_n	john_n	robert_n	sir_n	95,046	5	7.1389	4	true

Text snippets containing the quad

ID	Title	Author	Corrected Date of Publication (TCP Date of Publication)	STC	Words	Pages
A67375	Cono-cuneus, or, The shipwright's circular wedge that is, a body resembling in part a conus, in part a cuneus, geometrically considered / by John Wallis ..., in a letter to the honourable Sir Robert Moray ...	Wallis, John, 1616-1703.	1684 (1684)	Wing W565; ESTC R34709	14,684	34

cono-cuneus_a or_o the_o shipwright_n circular_a wedge_n that_o be_v a_o body_n resemble_v in_o part_n a_o conus_fw-la in_o part_n a_o cuneus_n geometrical_o consider_v by_o john_n wallis_n d._n d._n professor_n of_o geometry_n in_o the_o university_n of_o oxford_n and_o a_o member_n of_o the_o royal_a society_n london_n in_o a_o letter_n to_o the_o honourable_a sir_n robert_n moray_n knight_n london_n print_v by_o john_n playford_n for_o richard_n davis_n bookseller_n in_o the_o university_n of_o oxford_n 1684._o to_o the_o honourable_a sir_n robert_n moray_n k_n t_o sir_n since_o i_o come_v home_o from_o london_n i_o have_v take_v some_o time_n to_o consider_v of_o those_o solid_n and_o line_n make_v by_o the_o section_n thereof_o propose_v to_o consideration_n to_o my_o lord_n brouncker_fw-ge and_o yourself_o at_o your_o lodging_n where_o i_o be_v also_o present_a by_o mr._n pett_n one_o of_o his_o majesty_n commissioner_n for_o the_o navy_n and_o a_o excellent_a shipwright_n the_o body_n propose_v to_o consideration_n be_v all_o of_o this_o form_n on_o a_o plain_a base_a which_o be_v the_o quadrant_n of_o a_o circle_n like_o that_o of_o a_o quadrantal_a cone_n or_o cylinder_n stand_v a_o erect_a solid_a who_o altitude_n be_v arbitrary_a be_v there_o double_a to_o the_o radius_fw-la of_o that_o quadrant_n and_o from_o every_o point_n of_o its_o perimeter_n straight_o line_n draw_v to_o the_o vertex_fw-la meet_v there_o not_o in_o a_o point_n as_o be_v the_o apex_n of_o a_o cone_n nor_o in_o a_o parallel_n quadrant_n as_o in_o a_o quadrantal_a cylinder_n but_o in_o a_o straight_a line_n or_o sharp_a edge_n like_o that_o of_o a_o wedge_n or_o cuneus_n on_o which_o consideration_n i_o think_v fit_a to_o give_v it_o the_o name_n of_o cono-cuneus_n as_o have_v the_o base_a of_o a_o cone_n and_o the_o vertex_fw-la of_o a_o cuneus_n by_o the_o various_a section_n of_o this_o solid_a in_o several_a position_n he_o do_v right_o conceive_v that_o divers_a new_a line_n must_v arise_v in_o great_a variety_n different_a from_o those_o arise_v from_o the_o section_n of_o a_o cone_n some_o of_o which_o he_o suppose_v may_v be_v of_o good_a use_n in_o the_o building_n of_o ship_n in_o order_n to_o which_o it_o be_v that_o he_o propose_v they_o to_o consideration_n now_o because_o he_o judge_v it_o troublesome_a as_o indeed_o it_o will_v be_v first_o to_o form_v such_o solid_n and_o then_o cut_v they_o by_o plain_n in_o such_o position_n as_o he_o desire_v he_o have_v for_o avoid_v that_o trouble_n ingenious_o contrive_v this_o expedient_a he_o cause_v divers_a board_n of_o a_o good_a solid_a wood_n to_o be_v exact_o plane_v some_o of_o a_o equal_a thickness_n some_o meeting_n in_o a_o sharp_a edge_n those_o of_o the_o former_a he_o cause_v to_o be_v glue_v together_o in_o a_o parallel_n position_n those_o of_o the_o latter_a sort_n he_o cause_v so_o to_o be_v glue_v together_o as_o that_o their_o sharp_a edge_n meet_v in_o one_o common_a angle_n and_o have_v thus_o form_v several_a solid_n of_o board_n thus_o glue_v together_o he_o then_o cause_v they_o to_o be_v wrought_v into_o such_o a_o form_n as_o that_o before_o describe_v which_o be_v do_v he_o then_o cause_v the_o glue_n to_o be_v dissolve_v in_o warm_a water_n whereby_o the_o several_a board_n fall_v asunder_o do_v exhibit_v in_o their_o several_a face_n the_o respective_a section_n of_o those_o solid_n and_o such_o be_v those_o he_o show_v we_o which_o be_v put_v together_o make_v up_o such_o solid_n and_o take_v asunder_o show_v the_o several_a section_n of_o they_o i_o do_v not_o intend_v at_o all_o to_o disparage_v the_o ingenuity_n of_o that_o contrivance_n which_o be_v indeed_o very_o handsome_a and_o neat_o perform_v but_o do_v withal_o suppose_v that_o it_o will_v not_o be_v unpleasing_a to_o yourself_o or_o he_o to_o see_v those_o line_n describe_v in_o plano_n which_o will_v arise_v by_o such_o section_n of_o the_o solid_a that_o therefore_o be_v the_o work_n of_o these_o paper_n to_o represent_v the_o true_a nature_n of_o such_o line_n and_o the_o way_n to_o draw_v they_o without_o the_o actual_a section_n of_o a_o solid_a which_o i_o have_v the_o rather_o undertake_v because_o this_o be_v a_o solid_a which_o i_o do_v not_o know_v that_o any_o other_o have_v before_o consider_v and_o because_o this_o may_v be_v a_o pattern_n according_a to_o which_o other_o solid_n of_o like_a nature_n may_v be_v in_o like_a manner_n consider_v if_o there_o shall_v be_v occasion_n if_o beside_o these_o section_n which_o he_o have_v already_o consider_v there_o be_v any_o other_o section_n of_o this_o or_o other_o the_o like_a solid_n which_o he_o shall_v conceive_v useful_a to_o his_o purpose_n the_o same_o may_v in_o like_a manner_n be_v represent_v without_o the_o actual_a section_n of_o such_o solid_n by_o line_n thus_o describe_v in_o a_o plain_n but_o which_o of_o they_o may_v be_v most_o advantageous_a to_o his_o design_n i_o do_v not_o pretend_v to_o understand_v so_o well_o nor_o can_v with_o so_o much_o certainty_n affirm_v as_o that_o i_o be_o sir_n your_o very_a humble_a servant_n oxon_n apr._n 7._o 1662._o john_n wallis_n cono-cuneus_a or_o the_o shipwright_n circular_a wedge_n the_o section_n of_o a_o cono-cuneus_a 1._o on_o a_o rectangle_n cdba_n fig._n 1._o erect_v at_o right_a angle_n the_o quadrant_n of_o a_o circle_n cqd_v and_o join_v qa_n complete_a the_o rectangled_a triangle_n cqa_n suppose_v then_o from_o every_o point_n of_o the_o quadrantal_a arch_n dq_n to_o their_o respective_a point_n in_o the_o straight_a line_n basilius_n in_o plain_n parallel_v to_o the_o triangle_n cqa_n the_o straight_a line_n sa_o to_o be_v draw_v complete_n a_o curve_v superficies_n dsqaab_n the_o solid_a thus_o contain_v i_o call_v a_o cono-cuneus_n 2._o it_o differ_v from_o a_o quadrantal_a cone_n in_o this_o only_a that_o what_o be_v here_o a_o straight_a line_n ab_fw-la be_v there_o a_o single_a point_n all_o the_o line_n draw_v from_o the_o point_n s_o meet_v there_o at_o the_o point_n a._n 3._o it_o differ_v in_o this_o from_o a_o wedge_n or_o cuneus_n that_o what_o be_v here_o a_o quadrant_n cqd_v be_v there_o a_o rectangle_n 4._o it_o differ_v in_o this_o from_o a_o quadrantal_a cylinder_n that_o what_o be_v here_o a_o straight_a line_n ab_fw-la be_v there_o a_o quadrant_n equal_a and_o parallel_v to_o cqd_v 5._o this_o solid_a be_v cut_v by_o plain_n in_o different_a position_n will_v produce_v in_o the_o curve_v surface_n dqab_n great_a variety_n of_o line_n as_o for_o example_n 6._o first_o if_o it_o be_v cut_v by_o rsa_n a_o plain_a parallel_n to_o the_o triangle_n cqa_n the_o line_n sa_n be_v by_o construction_n a_o straight_a line_n and_o therefore_o the_o hypothenuse_n of_o a_o rightangled_n triangle_n sra_n 7._o and_o consequent_o this_o cono-cuneus_n be_v equal_a to_o half_a a_o quadrantal_a cylinder_n of_o the_o same_o base_a and_o altitude_n for_o every_o of_o the_o triangle_n sra_fw-mi in_o the_o cono-cuneus_n be_v half_o the_o respective_a rectangle_n in_o the_o cylinder_n the_o whole_a of_o that_o will_v be_v equal_a to_o the_o half_a of_o this._n 8._o the_o quantity_n therein_o i_o thus_o design_n in_o species_n 1._o 9_o these_o triangle_n if_o make_v by_o plain_n set_v at_o equal_a distance_n project_v on_o the_o plain_a cqa_n to_o which_o they_o be_v parallel_n will_v appear_v as_o in_o the_o first_o projection_n fig._n 16._o which_o be_v thus_o draw_v have_v draw_v a_o triangle_n acq_n like_a and_o equal_a to_o that_o in_o the_o solid_a and_o cqd_v the_o quadrant_n of_o a_o circle_n let_v cd_o be_v divide_v into_o any_o number_n of_o equal_a part_n at_o the_o point_v r_o from_o every_o of_o which_o the_o ordinates_n r_n be_v draw_v take_v equal_a thereunto_o in_o the_o line_n cq_n the_o line_n c_n or_o r_n then_o join_v as_o the_o triangle_n sra_n or_o sca_n in_o this_o plain_a represent_v the_o like_a triangle_n sra_n in_o the_o solid_a 10._o and_o if_o we_o suppose_v the_o solid_a to_o be_v continue_v downward_o beyond_o its_o quadrantal_a base_a these_o triangle_n must_v be_v so_o continue_v also_o and_o the_o like_a if_o we_o suppose_v it_o to_o be_v continue_v upward_o after_o a_o decussation_n in_o ab_fw-la as_o in_o opposite_a cones_n 11._o the_o quantity_n in_o this_o projection_n i_o design_v thus_o in_o species_n 16._o 12._o in_o number_n thus_o put_v r_o =_o 1._o a_o =_o 2._o cr._n cs._n as._n 0._o 1._o 2_o 236+_n 0.125_o 0_o 992+_n 2.233_o −_o 0.25_o 0_o 968+_n 2_o 222+_n 0.375_o 0.927_o −_o two_o 204+_n 0.5_o 0_o 866+_n 2_o 179+_n 0.625_o 0.781_o −_o 2.147_o −_o 0.75_o 0_o 661+_n 2_o 106+_n 0.875_o 0_o 484+_n 2.058_o −_o 1._o 0._o 2._o 13._o second_o if_o it_o be_v cut_v by_o edq_n a_o plain_a parallel_n to_o the_o quadrantal_a base_a cdq_n fig._n 1._o