Selected quad for the lemma: land_n

Word A	Word B	Word C	Word D	Occurrence	Frequency Band	MI	MI Band	Prominent
land_n	foot_n	length_n	perch_n	1,311	5	14.4050	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

observation_n take_v according_a to_o the_o doctrine_n of_o the_o last_o proposition_n upon_o your_o paper_n draw_v a_o straight_a line_n as_o cd_o make_v it_o 5_o chain_n 97_o 100_o take_v cb_n in_o your_o compass_n and_o strike_v a_o obscure_a arch_n then_o take_v bd_o and_o with_o that_o extent_n in_o d_o cross_z the_o former_a 58._o arch_n in_o b_o and_o draw_z bc_n and_o bd._n then_o take_v in_o your_o compass_n be_v and_o on_o b_o strike_v a_o obscure_a arch_n then_o take_v de_fw-fr and_o also_o cross_v the_o former_a arch_n in_o e_o and_o draw_z be_v and_o ed._n last_o take_v the_o line_n ca_n and_o on_o c_o strike_v a_o obscure_a arch_n then_o take_v ab_fw-la and_o on_o b_o intersect_v 58._o the_o former_a arch_n in_o a_o then_o draw_v ca_n and_o ab_fw-la so_o have_v you_o on_o your_o paper_n the_o exact_a figure_n of_o the_o field_n a_o b_o c_o d_o e_o as_o be_v require_v sect_n iii_o of_o find_v the_o area_n or_o superficial_a content_n of_o any_o field_n lie_v in_o any_o regular_a or_o irregular_a form_n by_o reduce_v the_o irregular_a field_n into_o regular_a form_n have_v already_o show_v how_o to_o take_v the_o plot_n of_o any_o field_n divers_a way_n by_o the_o semicircle_n and_o chain_n and_o also_o by_o the_o protractor_n how_o to_o delineate_v the_o draught_n thereof_o on_o paper_n etc._n etc._n i_o now_o come_v to_o show_v how_o the_o area_n or_o superficial_a content_n of_o a_o field_n may_v be_v attain_v i._n e._n how_o many_o acre_n rood_n and_o perch_n be_v therein_o contain_v to_o which_o end_n know_v that_o a_o statute_n pole_n or_o perch_n contain_v 16½_n foot_n that_o 40_o of_o those_o perch_n in_o length_n and_o 4_o in_o breadth_n make_v a_o acre_n so_o that_o a_o acre_n contain_v 160_o perch_n and_o a_o rood_n 40_o perch_n according_a to_o the_o statute_n 33_o of_o edward_n the_o first_o now_o the_o original_a of_o the_o mensuration_n of_o land_n and_o all_o other_o superficies_n depend_v on_o the_o mensuration_n of_o certain_a geometrical_a figure_n as_o a_o triangle_n square_n etc._n etc._n which_o may_v be_v measure_v according_a to_o the_o direction_n of_o of_o 2._o chap._n 4_o of_o geometry_n it_o will_v therefore_o here_o be_v superfluous_a to_o make_v a_o repetition_n of_o thing_n already_o handle_v i_o shall_v therefore_o omit_v it_o and_o come_v to_o show_v how_o any_o field_n lie_v in_o any_o irregular_a form_n may_v be_v measure_v by_o convert_v it_o into_o regular_a figure_n for_o it_o seldom_o happen_v but_o that_o the_o plot_n of_o a_o field_n be_v either_o a_o trapezium_fw-la equal_a 94._o or_o a_o many-sided_n irregular_a figure_n therefore_o i_o shall_v first_o show_v how_o to_o find_v the_o content_a of_o a_o trapezium_fw-la second_o of_o any_o many_o side_v irregular_a figure_n and_o three_o how_o to_o reduce_v any_o number_n of_o perch_n into_o acre_n etc._n etc._n and_o on_o the_o contrary_a any_o number_n of_o acre_n into_o rood_n and_o perch_n prop._n i._n how_o to_o find_v the_o area_n or_o superficial_a content_n of_o a_o trapezium_fw-la trapezium_n be_v quadrangle_v of_o sundry_a form_n yet_o take_v this_o as_o a_o general_a rule_n whereby_o their_o content_n may_v be_v find_v admit_v it_o be_v require_v to_o find_v the_o area_n or_o superficial_a content_n of_o the_o trapezium_fw-la abcd_n to_o find_v which_o first_o by_o draw_v the_o diagonal_a ad_fw-la you_o reduce_v it_o into_o two_o triangle_n abdella_n and_o adc_a then_o by_o prop._n 3_o 3_o 1._o of_o chap._n 4_o let_v fall_v the_o two_o perpendicular_o on_o ad_fw-la from_o b_o and_o c_o then_o by_o prop_n 3_o 3_o 2_o ch._n 59_o 4._o find_v the_o superficial_a content_n of_o the_o two_o trianangle_v abdella_n and_o adc_n which_o add_v together_o be_v the_o content_a os_fw-la the_o trapezium_fw-la by_o which_o rule_n the_o content_a of_o the_o trapezium_fw-la a_o b_o c_o d_o be_v find_v to_o be_v 630_o perch_n prop._n ii_o to_o find_v the_o area_n or_o superficial_a content_n of_o a_o many-sided_n irregular_a figure_n admit_v a_o b_o c_o d_o e_o f_o g_o to_o be_v a_o irregular_a many-sided_n figure_n represent_v a_o field_n who_o content_a be_v require_v now_o in_o regard_n the_o field_n be_v irregular_a therefore_o reduce_v it_o into_o triangle_n viz._n abc_n acg_n edg_n deg_n and_o dfg_v and_o 60._o then_o find_v the_o content_a of_o all_o the_o say_a triangle_n by_o prop._n 3_o 3_o 2._o chap._n 4_o and_o add_v their_o content_n together_o so_o shall_v that_o sum_n be_v the_o content_a of_o the_o say_a figure_n and_o so_o do_v for_o any_o other_o prop._n iii_o how_o to_o reduce_v any_o number_n of_o perch_n into_o acre_n and_o on_o the_o contrary_a acre_n into_o perch_n to_o find_v how_o many_o acre_n be_v contain_v in_o any_o number_n of_o perch_n give_v you_o must_v consider_v that_o 160_o perch_n do_v make_v a_o statute_n acre_n therefore_o if_o you_o divide_v the_o number_n of_o perch_n propound_v by_o 160_o the_o quotient_n be_v the_o number_n of_o acre_n contain_v therein_o and_o if_o there_o be_v a_o remainder_n which_o exceed_v 40_o then_o divide_v it_o by_o 40_o the_o quotient_n shall_v be_v rood_n and_o the_o remainder_n perch_v but_o on_o the_o contrary_a if_o it_o be_v require_v to_o find_v how_o many_o perch_n be_v contain_v in_o a_o certain_a number_n of_o acre_n propound_v you_o must_v multiply_v the_o number_n of_o acre_n by_o 160_o the_o product_n shall_v be_v the_o perch_v contain_v therein_o it_o may_v be_v here_o expect_v that_o i_o shall_v show_v how_o to_o reduce_v customary_a measure_n to_o statute_n measure_n and_o also_o that_o i_o shall_v treat_v of_o the_o division_n and_o separation_n of_o land_n but_o because_o mr._n rathborne_n and_o of_o late_a mr._n holwell_n have_v sufficient_o explain_v the_o same_o by_o many_o variety_n i_o shall_v for_o brevity_n sake_n omit_v it_o and_o leave_v you_o to_o consult_v those_o author_n sect_n iv._o of_o the_o use_n of_o the_o semicircle_n in_o take_v altitude_n distance_n etc._n etc._n prop._n i._n how_o by_o the_o semicircle_n to_o take_v a_o accessible_a altitude_n admit_v ab_fw-la be_v the_o height_n of_o a_o tower_n which_o be_v require_v to_o be_v know_v first_o place_v your_o semicircle_n at_o d_o with_o the_o arch_n downward_o 61._o and_o the_o two_o sight_n fix_v place_v it_o horizontal_n horizontal_n and_o screw_v it_o fast_o then_o move_v your_o index_n till_o through_o the_o sight_n thereof_o you_o espy_v the_o top_n of_o the_o tower_n at_o b_o and_o observe_v what_o degree_n the_o low_a part_n of_o the_o index_n cut_v and_o that_o will_v be_v equal_a unto_o the_o angle_n at_o d_o 50_o deg_n then_o measure_v the_o distance_n dam_fw-ge which_o let_v be_v 299_o foot_n now_o the_o height_n of_o the_o tower_n ab_fw-la be_v find_v according_a to_o prop._n 1._o 1._o 2._o chap._n 5._o thus_o as_o sc._n v._o at_o a_o 50°_n 00_o 00_o to_o log._n cr_n dam_fw-la 299_o foot_n so_o be_v s._n v._o at_o a_o 50_o 00_o to_o log._n ab_fw-la 356_o 3_o 10_o foot_n the_o height_n of_o the_o tower_n ab_fw-la require_v prop._n ii_o how_o by_o the_o semicircle_n to_o take_v a_o inaccessible_a altitude_n at_o two_o station_n let_v ab_fw-la be_v a_o tower_n who_o height_n be_v require_v have_v place_v your_o instrument_n at_o e_o as_o before_o direct_v your_o sight_n unto_o the_o top_n of_o the_o tower_n at_o b_o and_o find_v the_o degree_n cut_v by_o the_o index_n 61._o to_o be_v 23°_n 43_o 43_o i_o say_v it_o be_v the_o quantity_n of_o the_o angle_n at_o e_o now_o by_o reason_n of_o water_n or_o such_o like_a impediment_n you_o can_v approach_v no_o near_o the_o base_a of_o the_o tower_n than_z d_o therefore_o measure_n ed_z which_o be_v find_v to_o be_v 512_o foot_n then_o at_o d_o make_v the_o like_a observation_n and_o the_o angle_n at_o d_o appear_z to_o be_v 50°_n 00_o 00_o who_o compliment_n be_v the_o angle_n dba_n 40°_n 00_o 00_o and_o the_o compliment_n of_o the_o angle_n e_o 23°_n 43_o 43_o be_v the_o angle_n eba_n 66°_n 17_o 17_o now_o if_o the_o lesser_a angle_n at_o b_o be_v take_v out_o of_o the_o great_a the_o remainder_n be_v 26°_n 17_o 17_o the_o angle_n ebb_v now_o first_o to_o find_v the_o side_n bd_o of_o the_o trangle_v ebb_v say_v according_a to_o prop._n 1._o 1._o 3._o chap._n 5._o thus_o as_o s._n of_o v._o ebb_v 26°_n 17_o 17_o to_o log._n cr_n ed_z 512_o foot_n so_o be_v s._n of_o v._o at_o e_o 23°_n 43_o 43_o to_o log._n cr_n bd_o 465_o 2_o 10_o foot_n require_v now_o to_o find_v the_o height_n of_o the_o tower_n ab_fw-la say_v according_a to_o prop._n 2._o 2._o 2._o chap._n 5._o thus_o as_o radius_fw-la or_o s._n 90°_n to_o log._n cr_n db_n 465_o 2_o 10_o foot_n find_v so_o be_v s._n of_o v._o bda_n 50°_n

the_o people_n be_v strong_a and_o valiant_a and_o though_o mahometan_n yet_o they_o war_n with_o the_o turk_n for_o the_o mahometan_a religion_n in_o expound_v the_o alcoran_n from_o hence_o come_v bezoar_n and_o other_o precious_a stone_n pearl_n and_o silk_n work_v it_o have_v these_o famous_a city_n with_o media_n viz_o taurus_n gorgia_n cogsolama_n hysphan_n erat_fw-la sus_n schiras_n and_o ormutz_n and_o these_o river_n tiriditiri_fw-la and_o bendimuz_n tartary_n bound_a east_n with_o china_n the_o oriental_a ocean_n and_o the_o strait_o of_o anian_a west_n with_o russia_n and_o podolia_n north_n with_o the_o freeze_a ocean_n and_o south_n with_o china_n now_o the_o tartarian_n be_v divide_v into_o certain_a colony_n and_o differ_v in_o manner_n and_o trade_n of_o live_v and_o be_v man_n of_o a_o square_a stature_n broad_a face_n and_o look_v a_o squint_a they_o be_v hardy_a and_o valiant_a they_o will_v eat_v either_o horseflesh_n or_o man_n flesh._n they_o drink_v blood_n and_o mares-milk_n their_o habit_n be_v very_o homely_a they_o be_v some_o mahometan_n and_o asia_n some_o pagan_n their_o chief_a commodity_n be_v rich_a fur_n and_o they_o be_v govern_v by_o the_o great_a cham_n of_o tartary_n and_o have_v these_o famous_a city_n viz._n zahasp_v samarkand_n thibet_n cambalu_n and_o tatur_fw-la and_o river_n famous_a be_v joniscoy_n oby_n chezel_n and_o albiamu_n china_n be_v bound_v east_n with_o the_o oriental_a ocean_n west_n with_o india_n and_o cathay_n north_n with_o altay_n and_o the_o eastern_a tartary_n and_o south_n with_o canchin-china_n it_o have_v 591_o province_n 1593._o wall_v town_n 1154_o castle_n 4200_o unwall_v town_n and_o such_o a_o infinite_a number_n of_o village_n that_o the_o whole_a country_n seem_v as_o one_o town_n it_o be_v report_v that_o the_o prince_n can_v bring_v into_o the_o field_n 300000_o foot_n and_o 200000_o horse_n the_o land_n be_v fruitful_a in_o grain_n full_a of_o wild_a and_o tame_a beast_n it_o yield_v silk_n precious_a stone_n gold_n copper_n etc._n etc._n the_o people_n be_v ingenious_a and_o great_a artist_n witness_v their_o wagon_n make_v to_o sail_v over_o the_o land_n drive_v by_o the_o wind_n and_o historian_n tell_v we_o that_o the_o art_n of_o printing_n and_o of_o make_v gun_n be_v more_o ancient_a with_o they_o than_o with_o we_o they_o be_v idolater_n and_o worship_n the_o sun_n moon_n and_o star_n also_o they_o worship_v the_o devil_n himself_o that_o he_o may_v not_o hurt_v they_o and_o it_o have_v these_o most_o famous_a city_n viz._n paguin_n quinjay_n caneun_n macao_n mancian_n and_o magaia_n with_o the_o great_a river_n quinam_fw-la india_n be_v bound_v east_n with_o the_o oriental_a ocean_n and_o part_n of_o china_n west_n with_o the_o persian_a empire_n north_n with_o mount_n taurus_n and_o south_n with_o the_o indian_a ocean_n this_o country_n have_v a_o exact_a temperature_n of_o air_n two_o summer_n and_o a_o double_a increase_n blessed_v with_o all_o thing_n necessary_a for_o the_o life_n of_o man._n it_o have_v mine_n of_o asia_n gold_n and_o silver_n precious_a stone_n spice_n and_o medicinal_a drug_n abundance_n of_o cattle_n and_o camel_n ape_n dragon_n serpent_n also_o multitude_n of_o elephant_n a_o creature_n of_o a_o vast_a bigness_n some_o of_o which_o be_v say_v to_o be_v nine_o cubit_n high_a and_o as_o many_o long_a and_o five_o cubit_n thick_a it_o be_v a_o creature_n of_o wonderful_a sense_n for_o it_o be_v report_v of_o the_o elephant_n on_o which_o king_n phorus_n sit_v in_o the_o war_n of_o alexander_n find_v his_o master_n strong_a and_o lusty_a rush_v bold_o into_o the_o thick_a of_o the_o enemy_n army_n but_o when_o he_o once_o perceive_v he_o to_o be_v faint_a and_o weary_a he_o withdraw_v himself_o out_o of_o the_o battle_n kneel_v down_o and_o into_o his_o own_o trunk_n receive_v all_o the_o arrow_n direct_v at_o his_o master_n it_o also_o be_v of_o a_o most_o prodigious_a strength_n for_o it_o be_v report_v to_o carry_v a_o wooden_a tower_n on_o his_o back_n with_o thirty_o fight_a man_n beside_o the_o indian_a that_o rule_v he_o the_o sea_n yield_v variety_n of_o pearl_n and_o fish_n here_o be_v also_o the_o leviathan_n or_o whale_n of_o which_o pliny_n say_v there_o be_v some_o of_o 960_o foot_n long_o here_o be_v the_o rhinoceros_n also_o find_v such_o as_o have_v of_o late_o be_v public_o show_v at_o the_o bell-savage_a inn_n on_o ludgate-hill_n in_o london_n a_o deadly_a and_o cruel_a enemy_n to_o the_o elephant_n for_o though_o he_o be_v less_o yet_o he_o will_v whet_v his_o horn_n against_o the_o rock_n and_o then_o therewith_o strive_v to_o rip_v up_o the_o elephant_n belly_n and_o be_v by_o many_o naturalist_n suppose_v to_o be_v the_o unicorn_n for_o all_o the_o part_n of_o his_o body_n especial_o his_o horn_n be_v a_o sovereign_a antidote_n against_o poison_n this_o country_n be_v inhabit_v by_o indian_n moor_n arabian_n jew_n tartar_n and_o portugeze_n the_o native_n be_v tawny_a tall_a and_o strong_a and_o very_o punctual_a to_o their_o word_n they_o eat_v no_o fish_n nor_o flesh_n but_o asia_n live_v on_o thing_n without_o life_n be_v pythagorean_n it_o be_v also_o report_v that_o when_o the_o husband_n die_v and_o be_v burn_v on_o the_o funeral_n pile_n that_o then_o the_o wife_n leap_v into_o the_o fire_n and_o so_o the_o live_n and_o the_o dead_a bourn_n together_o which_o make_v the_o poet_n say_v et_fw-la certamen_fw-la habent_fw-la lethi_fw-la quae_fw-la viva_fw-la sequatur_fw-la conjugium_fw-la pudor_fw-la est_fw-la non_fw-la licuisse_fw-la mori_fw-la ardent_a victrices_fw-la &_o praebent_fw-la pectora_fw-la flammae_fw-la imponuntque_fw-la suis_fw-la ora_fw-la perusta_fw-mi viris_fw-la in_o india_n these_o be_v the_o chief_a city_n viz._n amedabur_n cambaia_n gouro_n diu_n bengala_n pangab_n agra_n goa_n calicut_n visnagor_n pegu_n arracan_a malaca_n camboge_v and_o faefo_n the_o fair_a river_n be_v indus_n ganges_n and_o mecon_n the_o oriental_a island_n be_v these_o viz._n 1._o japan_n 2._o the_o phillepinae_fw-la isle_n 3._o the_o maluccose_v 4._o bantam_n 5._o the_o selebe_n 6._o borneo_n 7._o the_o isle_n of_o java_n 8._o sumatra_n 9_o zeiland_n and_o other_o lesser_a isle_n of_o which_o we_o shall_v not_o treat_v 1._o japan_n be_v a_o rich_a island_n abound_v with_o gold_n so_o that_o paulus_n ventius_fw-la say_v that_o in_o his_o time_n the_o king_n palace_n be_v cover_v therewith_o it_o be_v a_o mountainous_a country_n a_o healthful_a air_n here_o the_o wheat_n be_v ripe_a in_o may._n it_o be_v full_a of_o wood_n of_o tall_a cedar_n abundance_n of_o beast_n wild_a and_o tame_a and_o also_o fowl_n the_o inhabitant_n be_v strong_a and_o witty_a and_o have_v but_o one_o language_n they_o be_v christian_n and_o idolater_n and_o the_o chief_a city_n be_v these_o viz._n bungo_n meaco_n and_o sacay_n the_o phillipine_a isle_n be_v in_o number_n 40_o call_v so_o in_o honour_n to_o philip_n ii_o king_n of_o spain_n and_o be_v now_o inhabit_v by_o the_o native_n and_o spaniard_n asia_n they_o be_v in_o a_o good_a air_n and_o store_v with_o rich_a commodity_n and_o in_o they_o be_v these_o city_n lusor_fw-la manille_n and_o mindanao_n the_o moluccoe_n island_n be_v many_o in_o number_n their_o commodity_n be_v cinnamon_n which_o grow_v in_o whole_a wood_n it_o be_v the_o bark_n of_o a_o tree_n strip_v and_o lay_v in_o the_o sun_n till_o it_o look_v red_a and_o in_o three_o year_n time_n the_o tree_n receive_v his_o bark_n again_o ginger_n nutmeg_n mastic_n aloe_n pepper_n and_o cloves_n now_o the_o clove_n grow_v on_o a_o tree_n like_o a_o bay_a tree_n yield_v blossom_n first_o white_a then_o green_a and_o at_o last_o red_a and_o hard_a and_o then_o be_v clove_n in_o it_o be_v also_o find_v the_o bird_n of_o paradise_n and_o no_o where_o else_o which_o for_o the_o strangeness_n and_o fairness_n of_o feather_n exceed_v all_o the_o bird_n in_o the_o world._n the_o people_n be_v pagan_n here_o be_v a_o mountain_n of_o a_o prodigious_a height_n above_o the_o cloud_n and_o agree_v to_o the_o element_n of_o fire_n which_o it_o seem_v to_o mount_v unto_o through_o flame_n wherewith_o a_o dreadful_a thunder_n and_o a_o dark_a smoke_n it_o send_v forth_o continual_o the_o isle_n of_o bantam_n be_v in_o number_n seven_o one_o of_o which_o be_v continual_o burn_v the_o inhabitant_n be_v barbarous_a weak_a of_o body_n slothful_a dull_a and_o lie_v most_o confuse_o together_a without_o rule_n and_o be_v mahometan_n its_o commodity_n be_v nutmeg_n and_o both_o the_o yellow_a and_o white_a saunderse_n now_o the_o nutmeg_n grow_v on_o a_o tree_n like_o a_o peach_n tree_n the_o innermost_a part_n of_o who_o fruit_n be_v the_o nutmeg_n and_o be_v cover_v over_o with_o a_o coat_n which_o ripe_a be_v call_v mace_n they_o yield_v their_o fruit_n thrice_o in_o the_o year_n to_o wit_n at_o april_n august_n and_o december_n the_o selebe_n