Selected quad for the lemma: doctrine_n

Word A	Word B	Word C	Word D	Occurrence	Frequency Band	MI	MI Band	Prominent
doctrine_n	america_n	asia_n	europe_n	2,462	5	15.3336	5	false

Text snippets containing the quad

ID	Title	Author	Corrected Date of Publication (TCP Date of Publication)	STC	Words	Pages
A64224	Thesaurarium mathematicae, or, The treasury of mathematicks containing variety of usefull practices in arithmetick, geometry, trigonometry, astronomy, geography, navigation and surveying ... to which is annexed a table of 10000 logarithms, log-sines, and log-tangents / by John Taylor.	Taylor, John, mathematician.	1687 (1687)	Wing T534; ESTC R23734	190,995	514

fig._n 23._o fig._n 24._o fig._n 25._o fig._n 26._o fig._n 27._o fig._n 28._o fig._n 29._o fig._n 30._o fig._n 31._o fig._n 32._o fig._n 33._o ☞_o note_v that_o every_o sphere_n be_v equal_a unto_o two_o cones_n who_o height_n and_o diameter_n of_o the_o base_a be_v the_o same_o with_o the_o axis_n of_o the_o sphere_n and_o a_o sphere_n be_v two_o three_o of_o a_o cylinder_n who_o height_n and_o diameter_n of_o the_o base_a be_v the_o same_o with_o the_o axis_n of_o the_o sphere_n according_a unto_o the_o 9th_o manifestation_n of_o the_o first_o book_n of_o archimedes_n of_o the_o sphere_n and_o cylinder_n fig._n 34._o fig._n 36._o fig._n 35._o fig._n 34._o observe_v this_o for_o a_o general_a rule_n in_o trigonometry_n fig._n 34_o fig._n 34._o fig._n 34._o fig._n 35._o 〈…〉_z fig._n 35._o fig._n 35._o fig._n 36._o ☞_o the_o rule_n to_o find_v the_o compliment_n arithmetical_a of_o any_o logarithm_n number_n 9_o 962398._o 0._o 037602._o fig._n 36._o fig._n 36._o fig._n 36._o fig._n 37._o fig._n 37._o 37._o that_o be_v equal_a unto_o the_o two_o angle_n b_o 40°_n and_o b._n 53°_n as_o afore_o in_o the_o former_a proposition_n fig._n 37._o fig._n 37._o fig._n 37._o fig._n 37._o fig._n 38._o fig._n 38._o fig._n 38._o fig._n 38._o fig._n 38._o fig._n 38._o fig._n 38._o fig._n 38._o fig._n 38._o fig._n 38._o fig._n 38_o fig._n 38._o fig._n 38._o fig._n 38._o fig._n 38._o fig._n 38._o fig._n 39_o note_v that_o in_o these_o operation_n for_o the_o more_o facility_n of_o the_o learner_n i_o omit_v second_o which_o do_v belong_v unto_o the_o angles_n etc._n etc._n fig._n 39_o fig._n 39_o ☞_o and_o here_o observe_v that_o if_o the_o sum_n of_o the_o two_o contain_v side_n exceed_v a_o semicircle_n then_o subtract_v each_o side_n several_o from_o 180°_n and_o proceed_v with_o those_o compliment_n as_o with_o the_o side_n give_v the_o operation_n produce_v the_o compliment_n of_o the_o angles_n seek_v unto_o a_o semicircle_n or_o 180_o degree_n fig._n 39_o ☞_o and_o here_o observe_v that_o if_o the_o sum_n of_o the_o two_o give_v angle_n exceed_v a_o semicircle_n or_o 180°_n subtract_v they_o from_o a_o semicircle_n and_o proceed_v with_o the_o residue_v the_o operation_n will_v produce_v each_o side_n be_v compliment_n to_o a_o semicircle_n or_o 180_o degree_n fig._n 39_o fig._n 39_o fig._n 39_o fig._n 39_o fig._n 39_o fig._n 39_o fig._n 40._o 40._o note_v that_o if_o the_o angle_n at_o the_o base_a be_v both_o of_o one_o kind_n that_o then_o the_o perpendicular_a fall_n within_o the_o triangle_n if_o of_o diverse_a kind_n without_o the_o triangle_n fig._n 41._o fig._n 40._o fig._n 40._o fig._n 40._o fig._n 40._o fig._n 40._o defin._n defin._n fig._n 42._o fig._n 42._o fig._n 42._o fig._n 42._o fig._n 42._o 42._o which_o be_v by_o the_o greek_n call_v 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d i_o e._n bring_v life_n because_o the_o life_n of_o all_o creature_n depend_v on_o the_o cause_n of_o that_o circle_n for_o the_o sun_n ascend_v in_o it_o and_o move_v towards_o we_o bring_v the_o generation_n of_o thing_n and_o in_o descend_v the_o corruption_n of_o all_o thing_n sensible_a and_o insensible_a which_o be_v below_o the_o concavity_n of_o the_o moon_n etc._n etc._n fig._n 42._o fig._n 42._o fig._n 42._o fig._n 42_o fig._n 42._o fig._n 42._o fig._n 42._o fig._n 42._o fig._n 43._o fig._n 43._o 43._o if_o the_o sun_n declination_n be_v north_n and_o increase_v this_o proportion_n find_v the_o sun_n distance_n from_o ♈_o but_o if_o decrease_v from_o ♎_o in_o the_o northern_a sin_n but_o if_o the_o sun_n declination_n be_v south_n and_o increase_v from_o ♎_o if_o decrease_v from_o ♈_o among_o the_o southern_a sin_n sin_n from_o the_o next_o equinoctial_a point_n either_o ♈_o or_o ♎_o ♎_o as_o in_o case_n 11_o of_o oblique_a spherical_a triangle_n triangle_n watch_v the_o time_n after_o sunsetting_a when_o the_o twilight_n in_o the_o west_n be_v shut_v in_o so_o that_o no_o more_o twilight_n than_o in_o any_o other_o part_n of_o the_o sky_n near_o the_o horizon_n appear_v there_o then_o by_o one_o of_o the_o know_v fix_a star_n have_v find_v the_o true_a hour_n of_o the_o night_n he_o find_v the_o length_n of_o the_o twilight_n to_o be_v as_o in_o the_o rule_n be_v mention_v mention_v or_o ½_o diurnal_a arch._n to_o find_v the_o length_n of_o the_o least_o crepusculum_fw-la or_o twilight_n defin._n defin._n europe_n europe_n which_o pliny_n have_v adorn_v in_o these_o word_n say_v he_o italia_n terrarum_fw-la omnium_fw-la alumna_fw-la eadem_fw-la &_o parens_fw-la numine_fw-la deûm_fw-la electa_fw-la qua_fw-la coelum_fw-la ipsum_fw-la clariùs_fw-la faceret_fw-la sparsa_fw-la congregaret_fw-la imperia_fw-la ritus_fw-la molliret_fw-la tot_fw-la populorum_fw-la discord_n linguas_fw-la sermonis_fw-la commercio_fw-la ad_fw-la colloquia_fw-la distraheret_fw-la &_o humanitati_fw-la hominem_fw-la daret_fw-la i._n e._n italy_n say_v pliny_n be_v the_o nurse_n and_o the_o parent_n of_o all_o religion_n be_v elect_v by_o the_o providence_n of_o the_o god_n to_o make_v if_o possible_a the_o heaven_n more_o famous_a to_o gather_v the_o scatter_a empire_n of_o the_o world_n into_o one_o body_n to_o temper_v the_o barbarous_a rite_n of_o the_o nation_n to_o unite_v so_o many_o disagree_a language_n of_o man_n by_o the_o benefit_n of_o one_o common_a tongue_n and_o in_o a_o word_n to_o restore_v man_n to_o his_o humanity_n europe_n europe_n europe_n europe_n europe_n europe_n europe_n europe_n europe_n europe_n europe_n europe_n europe_n europe_n europe_n europe_n europe_n europe_n europe_n europe_n europe_n europe_n europe_n asia_n asia_n asia_n asia_n asia_n asia_n asia_n asia_n asia_n asia_n asia_n asia_n africa_n africa_n africa_n africa_n africa_n africa_n africa_n africa_n america_n america_n america_n america_n america_n america_n america_n america_n america_n america_n america_n america_n the_o doctrine_n of_o rightlined_a triangle_n both_o right_a and_o obliqueangled_n apply_v to_o proposition_n of_o plain_a sail_v fig._n 44._o fig._n 44._o fig._n 44._o fig._n 44._o fig._n 45._o fig._n 45._o fig._n 46._o fig._n 46._o fig._n 47._o fig._n 47._o fig._n 48._o fig._n 49_o 49_o 49_o but_o be_v indeed_o the_o invention_n of_o our_o learned_a countryman_n mr._n edw._n wright_n although_o this_o stranger_n have_v almost_o get_v the_o name_n and_o praise_v thereof_o fig._n 50._o fig._n 50._o fig._n 51._o fig._n 51._o fig._n 51._o fig._n 51._o fig._n 51._o fig._n 51._o 51._o which_o instrument_n and_o the_o plain_a table_n i_o esteem_v as_o the_o two_o apt_a instrument_n for_o survey_v of_o land_n i._n e._n the_o plain_a table_n for_o small_a enclosure_n and_o the_o semicircle_n for_o champain_n plain_n wood_n and_o mountain_n fig._n 52._o fig._n 52._o fig._n 53._o fig._n 53._o fig._n 54._o fig._n 54._o fig._n 55._o fig._n 55._o fig._n 55._o fig._n 55._o fig._n 55._o fig._n 55._o fig._n 56._o fig._n 56._o fig._n 56._o fig._n 56._o fig._n 57_o fig._n 57_o fig._n 58._o fig._n 58._o fig._n 58._o fig._n 58._o 58._o be_v a_o quadrangle_n who_o side_n be_v not_o parallel_v nor_o equal_a euclides_n postulat_fw-la haunt_n fabricam'trapezium_fw-la tanquam_fw-la mensulam_fw-la vocari_fw-la &_o sanè_fw-la nominis_fw-la ejus_fw-la ratio_fw-la geometrica_fw-la nulla_fw-la est_fw-la p._n rami_n lib._n 14_o pag._n 94._o fig._n 59_o fig._n 60._o fig._n 61._o 61._o which_o to_o do_v be_v no_o more_o than_o thus_o with_o a_o thread_n and_o plummet_n fasten_v at_o the_o centre_n of_o the_o semicircle_n so_o that_o it_o have_v liberty_n to_o play_v move_v the_o semicircle_n until_o the_o thread_n play_v against_o 90_o deg_n then_o screw_v it_o fast_o and_o it_o be_v horizontal_n fig._n 61._o fig._n 61._o fig._n 62._o fig._n 63_o fig._n 63._o 63._o who_o surface_n be_v bound_v by_o a_o line_n call_v by_o proclus_n a_o helicoide_n but_o it_o may_v also_o be_v call_v a_o helix_fw-la a_o twist_n or_o wreath_n etc._n etc._n etc._n see_v procl_n lib._n 2._o cap._n 3._o &_o viturvius_fw-la lib._n 9_o cap_n 3._o 3._o see_v mr._n oughthr_v in_o his_o book_n of_o the_o circle_n of_o proportion_n page_n the_o 57_o and_o mr._n edm._n gunter_n in_o his_o book_n of_o the_o crossstaff_n part_v 21._o chap._n the_o 4._o 4._o which_o do_v appear_v to_o have_v be_v in_o use_n above_o this_o 2400_o year_n for_o king_n achaz_n have_v a_o dial_n this_o art_n require_v good_a skill_n in_o geometry_n and_o astronomy_n now_o cresibius_fw-la that_o famous_a philosopher_n measure_v the_o hour_n and_o time_n by_o the_o orderly_o run_v of_o water_n then_o by_o sand_n be_v the_o hour_n measure_v after_o that_o by_o trochilike_o with_o weight_n and_o of_o late_a with_o trochilike_o with_o spring_n fig._n 64._o fig._n 64._o fig._n 65._o fig._n 65._o 65._o which_o may_v be_v either_o a_o pin_n of_o the_o length_n of_o q_o s_o place_v on_o q_o and_o perpendicular_a unto_o the_o plane_n or_o it_o may_v be_v a_o piece_n of_o brass_n or_o elsewhat_o of_o the_o breadth_n of_o 12_o to_z 3_o or_o 9_o fig._n 66._o fig._n 66._o fig._n 66._o fig._n 67._o fig._n 68_o fig._n 70._o fig._n 70._o fig._n 70._o fig._n 70._o fig._n 71._o fig._n 71._o fig._n 71._o fig._n 71._o fig._n 71._o fig._n 71._o fig._n 71._o fig._n 71._o fig._n 72._o defin._n fig._n 73._o fig._n 73._o fig._n 73._o fig._n 73._o 73._o because_o the_o length_n of_o the_o part_n of_o a_o musket_n do_v not_o much_o exceed_v that_o mèasure_n fig._n 73._o fig._n 73._o fig._n 73._o 73._o because_o the_o defence_n ought_v to_o be_v easy_a quick_a certain_a and_o of_o little_a charge_n all_o which_o quality_n the_o musket_n have_v and_o the_o cannon_n have_v not_o therefore_o the_o defence_n of_o fortification_n ought_v to_o be_v measure_v by_o the_o port_n of_o a_o musket_n and_o not_o by_o that_o of_o a_o cannon_n fig._n 74._o fig._n 74._o fig._n 74._o fig._n 74._o fig._n 74._o fig._n 74._o fig._n 74._o fig._n 74._o fig._n 74._o fig._n 74._o fig._n 74._o fig._n 74._o observe_v this_o for_o a_o general_a rule_n in_o regular_a fortification_n fig._n 76._o case_n 1._o fig._n 76._o case_n 2._o fig._n 77._o fig._n 78._o fig._n 78._o fig._n 78._o fig._n 78._o fig._n 78._o fig._n 79._o fig._n 79._o fig._n 79._o fig._n 80._o fig._n 81._o fig._n 83._o fig._n 84._o 84._o build_v to_o bridle_v the_o town_n or_o the_o place_n leave_v the_o burgher_n shall_v be_v rebellious_a and_o to_o be_v the_o last_o refuge_n or_o place_n of_o retreat_n retreat_n the_o inginier_n must_v first_o form_v a_o map_n of_o the_o town_n or_o place_n with_o all_o the_o way_n passage_n old_a wall_n rivers_n pool_n enclosure_n and_o all_o other_o matter_n fit_a to_o be_v know_v in_o the_o draught_n and_o then_o he_o be_v to_o design_n what_o work_v he_o find_v most_o agree_v to_o the_o place_n to_o be_v fortify_v fig._n 84._o fig._n 85._o fig._n 86._o fig._n 87._o fig._n 88_o fig._n 89._o fig._n 90._o defin._n this_o military_a engine_n bombarda_fw-it gun_n cannon_n etc._n etc._n so_o call_v from_o bombo_n a_o resound_a noise_n cannone_n or_o cannon_n from_o the_o likeness_n it_o hold_v with_o his_o can_v boar_n or_o concavity_n artigleria_n from_o artiglio_n the_o talon_n or_o claw_n of_o ravenous_a fowl_n because_o its_o shot_n fly_v afar_o off_o tear_n and_o deface_v all_o that_o it_o do_v meet_v from_o whence_o some_o nature_n of_o this_o machine_n be_v call_v smeriglii_fw-la long_o wing_a hawk_n falconi_n falconet_n passa_fw-la volanti_fw-la swift_a fly_a arrow_n etc._n etc._n fig._n 91._o fig._n 91._o fig._n 91._o 91._o in_o his_o mathematical_a manual_n page_n 165._o fig._n 91._o 91._o see_v mr._n diggs_n in_o his_o pantometria_fw-la page_n 179._o general_n rule_v to_o be_v observe_v in_o the_o batter_a down_o of_o a_o place_n or_o make_v of_o breach_n breach_n according_a to_o learned_a d'chales_n on_o the_o four_o prop._n of_o the_o first_o book_n of_o euclid_n fig._n 93._o