Selected quad for the lemma: hand_n

Word A Word B Word C Word D Occurrence Frequency Band MI MI Band Prominent
hand_n double_a double_v left_a 5,249 5 10.5799 5 false
View all documents for the selected quad

Text snippets containing the quad

ID Title Author Corrected Date of Publication (TCP Date of Publication) STC Words Pages
A49269 Geodæsia, or, The art of surveying and measuring of land made easie by plain and practical rules, how to survey, protract, cast up, reduce or divide any piece of land whatsoever : with new tables for the ease of the surveyor in reducing the measures of land : moreover, a more facile and sure way of surveying by the chain, than has hitherto been taught : as also, how to lay-out new lands in America, or elsewhere : and how to make a perfect map of a river's mouth or harbour : with several other things never yet publish'd in our language / by John Love ... Love, John, fl. 1688. 1688 (1688) Wing L3191; ESTC R1523 85,385 310

There is 1 snippet containing the selected quad. | View original text

be_v very_o necessary_a for_o he_o that_o intend_v to_o be_v a_o artist_n in_o the_o measure_v of_o land_n to_o begin_v with_o arithmetic_n as_o the_o groundwork_n and_o foundation_n of_o all_o art_n and_o science_n mathematical_a and_o at_o least_o not_o to_o be_v ignorant_a of_o the_o five_o first_o and_o principal_a rule_n thereof_o viz._n numeration_n addition_n substraction_n multiplication_n and_o division_n which_o suppose_v every_o person_n that_o apply_v himself_o to_o the_o study_n of_o this_o art_n to_o be_v skill_v in_o or_o if_o not_o refer_v he_o to_o book_n or_o master_n every_o where_o to_o be_v find_v to_o learn_v i_o shall_v name_v a_o six_o rule_n as_o necessary_a if_o not_o more_o to_o be_v understand_v by_o the_o learner_n which_o be_v the_o extraction_n of_o the_o square_a root_n without_o which_o though_o seldom_o mention_v by_o surveyor_n in_o their_o write_n a_o man_n can_v never_o attain_v to_o a_o competent_a knowledge_n in_o the_o art_n i_o shall_v not_o therefore_o think_v it_o unworthy_a my_o pain_n though_o perhaps_o other_o man_n have_v better_o do_v it_o before_o i_o to_o show_v you_o easy_o and_o brief_o how_o to_o do_v it_o how_o to_o extract_n the_o square_a root_n in_o the_o first_o place_n it_o be_v convenient_a to_o tell_v you_o what_o this_o square_a root_n be_v it_o be_v to_o find_v out_o of_o any_o number_n propound_v a_o lesser_a number_n which_o lesser_a number_n be_v multiply_v in_o itself_o may_v produce_v the_o number_n propound_v as_o for_o example_n suppose_v 81_o be_v a_o number_n give_v i_o i_o say_v 9_o be_v the_o root_n of_o it_o because_o 9_o multiply_v in_o itself_o viz._n 9_o time_n 9_o be_v 81._o now_o 8_o can_v not_o be_v the_o root_n for_o 8_o time_n 8_o be_v but_o 64_o nor_o can_v 10_o for_o 10_o time_n 10_o be_v 100_o therefore_o i_o say_v 9_o must_v needs_o be_v the_o root_n because_o multiply_v in_o itself_o it_o make_v neither_o more_o nor_o less_o but_o just_a the_o number_n propound_v viz._n 81._o again_o suppose_v 16_o be_v the_o number_n give_v i_o say_v the_o root_n of_o it_o be_v 4_o because_o 4_o multiply_v in_o itself_o make_v 16._o for_o your_o better_a understanding_n see_v this_o figure_n which_o be_v a_o great_a square_n contain_v 16_o little_a square_n any_o side_n of_o which_o great_a square_n contain_v 4_o little_a square_n which_o be_v call_v the_o square_a root_n root_n 1_o 2_o 3_o 4_o 5_o 6_o 7_o 8_o 9_o square_n 1_o 4_o 9_o 16_o 25_o 36_o 49_o 64_o 81_o here_o you_o see_v the_o root_n of_o 25_o be_v 5_o the_o root_n of_o 64_o be_v 8_o and_o so_o of_o the_o rest_n so_o far_o as_o 100_o in_o whole_a number_n your_o memory_n will_v serve_v you_o to_o find_v the_o root_n but_o if_o the_o number_n propound_v who_o root_n you_o be_v to_o search_v out_o exceed_v 100_o than_o put_v a_o point_n over_o the_o first_o figure_n on_o the_o right-hand_a which_o be_v the_o place_n of_o unite_v and_o so_o proceed_v to_o the_o lefthand_n miss_v the_o second_o figure_n and_o put_v a_o point_n over_o the_o three_o then_o miss_v the_o four_o point_v the_o five_o and_o so_o if_o there_o be_v never_o so_o many_o figure_n in_o the_o number_n proceed_v on_o to_o the_o end_n pointing_z every_o other_o figure_n as_o you_o may_v see_v here_o and_o so_o many_o point_n as_o there_o be_v of_o so_o many_o figure_n your_o root_n will_v consist_v which_o be_v very_o material_a to_o remember_v then_o begin_v at_o the_o first_o figure_n on_o the_o lefthand_n that_o have_v a_o point_n over_o it_o which_o will_v always_o be_v the_o first_o or_o second_o figure_n and_o search_v out_o the_o root_n of_o that_o one_o figure_n or_o both_o join_v together_o if_o there_o be_v two_o and_o when_o you_o have_v find_v it_o or_o the_o nigh_a less_o to_o it_o which_o you_o may_v easy_o do_v by_o the_o table_n above_o or_o your_o own_o memory_n draw_v a_o little_a crooked_a line_n as_o in_o division_n and_o there_o set_v it_o down_o for_o example_n let_v 144_o be_v the_o number_n who_o root_n i_o be_o to_o find_v i_o set_v it_o down_o and_o prick_v the_o figure_n thus_o then_o go_v to_o the_o first_o figure_n on_o the_o lefthand_n that_o have_v a_o price_n over_o it_o which_o be_v 1_o and_o see_v what_o the_o root_n of_o it_o be_v which_o be_v 1_o also_o i_o therefore_o draw_v a_o crooked_a line_n as_o in_o the_o margin_n and_o set_v down_o 1_o in_o the_o quotient_a then_o if_o 1_o admit_v of_o any_o multiplication_n i_o shall_v multiply_v it_o by_o itself_o but_o since_o once_o 1_o be_v but_o 1_o i_o subtract_v it_o out_o of_o the_o first_o prick_v figure_n on_o the_o lefthand_n and_o there_o remain_v 0_o so_o that_o i_o cancel_v that_o first_o figure_n as_o have_v whole_o do_v with_o it_o if_o any_o thing_n have_v remain_v after_o the_o substraction_n i_o shall_v have_v put_v the_o remainder_n over_o it_o the_o next_o thing_n to_o be_v do_v be_v to_o double_v what_o be_v already_o in_o the_o quotient_a which_o make_v 2_o which_z 2_o i_o write_v down_o under_o the_o next_o figure_n viz._n 4_o which_o have_v no_o point_n over_o it_o and_o then_o see_v how_o oft_o i_o can_v have_v 2_o in_o 4_o answer_v twice_o i_o therefore_o set_v down_o 2_o in_o the_o quotient_a and_o 2_o likewise_o under_o the_o next_o point_v figure_n which_o in_o this_o example_n be_v 4_o than_o that_o 22_o which_o stand_v under_o the_o 44_o must_v be_v multiply_v by_o the●_n in_o the_o quotient_a who_o product_n be_v 44_o which_o substract_v out_o of_o 44_o there_o remain_v 0_o but_o you_o may_v multiply_v and_o subtract_v together_o thus_o twice_o 2_o be_v 4_o which_o i_o take_v out_o of_o 4_o and_o there_o remain_v 0_o than_o i_o cancel_v the_o first_o 4_o and_o 2_o to_o the_o lefthand_n as_o have_v do_v with_o they_o then_o again_o twice_z 2_o be_v 4_o which_o take_v out_o of_o 4_o leaf_n 0_o and_o then_o i_o cancel_v the_o last_o 4_o and_o 2_o and_o the_o question_n be_v answer_v for_o there_o be_v 12_o in_o the_o quotient_a which_o be_v the_o root_n of_o 144_o which_o may_v easy_o be_v prove_v by_o multiply_v 12_o by_o 12._o take_v another_o example_n let_v the_o sum_n be_v first_o see_v what_o the_o root_n of_o 5_o be_v which_o be_v 2_o and_o place_n it_o in_o the_o quotient_a and_o under_o the_o first_o point_v figure_n both_o as_o you_o see_v here_o then_o say_v two_o time_n 2_o be_v 4_o which_o take_v out_o of_o 5_o there_o remain_v one_o and_o so_o have_v you_o do_v with_o the_o first_o point_n next_o double_v the_o quotient_a which_o make_v 4_o and_o place_n it_o as_o you_o see_v here_o under_o the_o figure_n void_a of_o a_o point_n then_o see_v how_o many_o time_n 4_o you_o can_v have_v in_o 14_o answer_z 3_o time_n which_o 3_o place_n both_o in_o the_o quotient_a and_o under_o the_o next_o point_v figure_n which_o be_v 7_o then_o multiply_v and_o subtract_v say_v three_o time_n 4_o be_v 12_o which_o take_v out_o of_o 14_o leaf_n 2_o which_z 2_o write_z over_z the_o 4_o and_o cancel_v both_o the_o 4_o and_o the_o 1_o as_o you_o do_v in_o division_n and_o three_o time_n 3_o be_v 9_o which_o take_v out_o of_o 27_o rest_v 18_o which_o write_v over_o head_n and_o cancel_v what_o figure_n you_o have_v do_v with_o no_o otherwise_o than_o in_o division_n and_o so_o have_v you_o do_v with_o the_o first_o two_o point_n now_o for_o the_o three_o point_v figure_n or_o if_o there_o be_v never_o so_o many_o more_o of_o they_o they_o be_v do_v altogether_o as_o the_o second_o viz._n double_v again_o your_o quotient_n it_o make_v 46_o which_o put_v down_o as_o you_o see_v here_o always_o observe_v this_o rule_n that_o the_o last_o figure_n of_o the_o double_a quotient_n i_o mean_v that_o in_o the_o place_n of_o unite_v stand_v under_o the_o next_o void_a of_o point_n and_o those_o of_o your_o left_a hand_n of_o he_o viz_o in_o the_o place_n of_o ten_o or_o hundred_o in_o order_n before_o he_o as_o you_o do_v in_o division_n as_o you_o may_v see_v here_o then_o proceed_v and_o say_v how_o many_o time_n 46_o can_v i_o have_v in_o 185_o or_o rather_o how_o many_o time_n 4_o in_o 18_o here_o essay_n as_o you_o do_v in_o division_n and_o see_v if_o you_o can_v have_v it_o four_o time_n remember_v the_o 4_o that_o must_v be_v put_v down_o under_o the_o point_a figure_n and_o when_o you_o find_v you_o can_v have_v it_o four_o time_n write_v it_o down_o in_o the_o quotient_a and_o also_o under_o your_o last_o point_a figure_n then_o say_v four_o time_n 4_o be_v 16_o out_o of_o 18_o there_o rest_v 2_o which_o write_v down_o and_o cancel_v the_o 18_o and_o 4._o again_o four_o