Selected quad for the lemma: end_n

Word A	Word B	Word C	Word D	Occurrence	Frequency Band	MI	MI Band	Prominent
end_n	foot_n	half_a	inch_n	1,859	5	11.0254	5	true

Text snippets containing the quad

ID	Title	Author	Corrected Date of Publication (TCP Date of Publication)	STC	Words	Pages
A07574	Mesolabium architectonicum that is, a most rare, and singular instrument, for the easie, speedy, and most certaine measuring of plaines and solids by the foote: necessary to be knowne of all men whatsoeuer, who would not in this case be notably defrauded: inuented long since by Mr. Thomas Bedwell Esquire: and now published, and the vse thereof declared by Wilhelm Bedwell, his nephew, Vicar of Tottenham.	Bedwell, William, ca. 1561-1632.	1631 (1631)	STC 1796; ESTC S101421	11,621	33

etc._n etc._n in_o &_o never_o the_o city_n of_o london_n &_o westminster_n be_v it_o enact_v by_o the_o authority_n afor'said_a that_o a_o mile_n shall_v be_v take_v &_o reckon_v in_o this_o manner_n &_o no_o otherwise_o that_o be_v to_o say_v a_o mile_n to_o contain_v 8_o furlong_n and_o every_o furlong_n to_o contain_v 40_o lugge_n or_o pole_n and_o every_o lugge_n or_o pole_n to_o contain_v 〈◊〉_d foot_n and_o a_o half_a although_o this_o same_o our_o rule_n may_v be_v fit_v for_o sundry_a other_o sort_n of_o measure_n yet_o we_o have_v here_o nothing_o to_o do_v but_o with_o the_o foot_n and_o his_o part_n which_o be_v ynche_n halfe-ynches_a quarter_n half-quarter_n and_o such_o other_o sensible_a part_n of_o the_o same_o 2_o thing_n to_o be_v measure_v by_o this_o rule_n be_v magnitude_n 3_o a_o magnitude_n be_v a_o continual_a quantity_n amagnitude_n or_o a_o bigness_n be_v that_o which_o have_v one_o or_o more_o dimension_n now_o dimension_n be_v in_o number_n three_o to_z wete_z length_n breadth_n and_o thickness_n 4_o a_o magnitude_n be_v of_o one_o 〈◊〉_d or_o many_o 5_o the_o measure_n be_v of_o the_o same_o nature_n with_o the_o thing_n to_o be_v measure_v 6_o a_o magnitude_n of_o one_o dimension_n be_v call_v a_o line_n aline_n be_v a_o magnitude_n of_o length_n only_o or_o aline_n be_v a_o magnitude_n only_o long_o such_o be_v way_n or_o distance_n 〈◊〉_d place_n and_o place_n such_o a_o magnitude_n say_v proclus_n out_o of_o apollonius_n be_v conceive_v in_o the_o measure_n of_o journey_n and_o by_o the_o difference_n of_o a_o lightsome_a place_n from_o a_o darksome_a such_o be_v lenght_n heighth_n depth_n and_o breadth_n therefore_o here_o 7_o the_o measure_n use_v be_v a_o line_n here_o therefore_o there_o be_v no_o further_a skill_n require_v in_o the_o measurer_n than_o a_o due_a application_n of_o the_o measure_n give_v and_o therefore_o here_o in_o this_o case_n there_o be_v not_o any_o use_n of_o this_o our_o instrument_n chap._n ii_o of_o the_o measure_n of_o plain_n by_o the_o foot_n square_a 1_o a_o magnitude_n of_o many_o dimension_n be_v of_o two_o or_o three_o that_o be_v call_v a_o surface_n this_o a_o solid_a 2_o if_o a_o dimension_n give_v be_v either_o great_a or_o lesser_a than_o any_o of_o the_o number_n upon_o the_o rular_a you_o must_v take_v some_o lesser_a or_o great_a which_o be_v proportional_a unto_o it_o 3_o a_o surface_n be_v a_o magnitude_n long_o and_o broad_a that_o be_v a_o surface_n be_v a_o magnitude_n which_o have_v two_o dimension_n to_o weet_v length_n and_o breadth_n such_o magnitude_n say_v apollonius_n be_v the_o shadow_n upon_o the_o ground_n which_o overspread_v the_o field_n far_o and_o wide_a but_o do_v not_o enter_v into_o or_o pierce_v the_o earth_n neither_o have_v they_o any_o thickness_n at_o all_o the_o greek_a word_n epiphania_fw-la be_v here_o more_o significant_a for_o this_o word_n intimate_v no_o more_o but_o the_o outward_a appearance_n of_o any_o thing_n for_o of_o a_o magnitude_n nothing_o be_v to_o be_v see_v but_o the_o surface_n such_o be_v bourd_n esteem_v to_o be_v by_o the_o carpentars_n wainscotte_n by_o the_o joiner_n glass_n by_o the_o glasier_n cloth_n both_o linen_n &_o woollen_a by_o the_o draper_n land_n medowe_n &_o wood_n by_o the_o surueigher_n for_o in_o the_o measure_n of_o these_o there_o be_v only_a breadth_n &_o length_n consider_v with_o out_o any_o respect_n at_o all_o have_v to_o the_o thickness_n therefore_o 2_o here_o the_o measure_n be_v a_o surface_n surface_n according_a to_o their_o diverse_a nature_n be_v measure_v with_o diverse_a and_o sundry_a kind_n of_o measure_n wood_n land_n &_o meadow_n be_v measure_v by_o the_o rod_n or_o perch_n cloth_n paint_v pave_v &_o wainscotte_n by_o the_o yard_n board_n and_o stone_n by_o the_o foot_n although_o this_o our_o instrument_n may_v be_v fit_v to_o all_o these_o or_o any_o other_o like_o measure_n yet_o we_o at_o this_o time_n intend_v to_o meddle_v with_o no_o other_o but_o the_o last_o to_z wete_z with_o the_o footesquare_n 4_o a_o surface_n be_v either_o plain_a or_o uneven_a 5_o a_o plain_a surface_n be_v a_o surface_n which_o lie_v equal_o between_o his_o bound_n a_o surface_n the_o learned_a know_fw-mi be_v geometrical_o make_v of_o line_n therefore_o as_o line_n be_v either_o straight_o or_o crooked_a so_o from_o hence_o be_v all_o surface_v straight_a or_o crooked_a or_o to_o speak_v more_o proper_o even_o or_o uneven_a plain_a or_o rugged_a yea_o &_o by_o a_o straight_a line_n be_v surface_v try_v whether_o they_o be_v even_o or_o uneven_a for_o if_o a_o rightline_v apply_v to_o a_o surface_n every_o way_n do_v touch_v it_o in_o all_o place_n it_o be_v even_o otherwise_o it_o be_v uneven_a 9_o plain_n as_o we_o say_v be_v measure_v by_o the_o foot_n square_a that_o be_v the_o quadrate_n of_o 12_o ynche_n a_o 〈◊〉_d of_o plain_a or_o flat_a measure_n be_v the_o quadrate_n of_o 12_o ynche_n or_o that_o which_o be_v equal_a unto_o it_o that_o be_v it_o 〈◊〉_d 44_o 〈◊〉_d ynche_n for_o 12_o time_n 12_o be_v 144._o have_v therefore_o a_o plain_a give_v of_o 12_o ynche_n broad_a there_o be_v no_o question_n but_o 12_o ynche_n of_o that_o breadth_n shall_v make_v a_o foot_n but_o if_o the_o breadth_n give_fw-mi be_v great_a or_o less_o than_o 12_o there_o be_v a_o question_n what_o length_n with_o the_o breadth_n give_v shall_v make_v a_o plain_a 〈◊〉_d to_o the_o square_a 144._o here_o 7_o of_o the_o two_o line_n '_o give_v the_o one_o be_v the_o breadth_n assign_v the_o other_o be_v always_o the_o bevel_a line_n 12._o here_o again_o it_o must_v be_v remember_v that_o only_o those_o plain_n be_v to_o be_v measure_v which_o be_v rightangle_v parallelogramm_v or_o to_o speak_v in_o their_o own_o language_n which_o be_v comprehend_v of_o a_o base_a and_o hey_o which_o be_v rational_a between_o 〈◊〉_d ramus_n 9_o e_fw-la four_o those_o plain_n therefore_o which_o be_v not_o such_o must_v be_v reduce_v unto_o these_o kind_n of_o figure_n 1_o a_o example_n or_o two_o shall_v make_v all_o plain_a a_o board_n of_o 16_o ynche_n broad_a and_o 18_o ynche_n long_o and_o so_o a_o stock_n of_o 13_o bourd_n be_v to_o be_v measure_v here_o i_o find_v 16_o the_o line_n answer_v to_o the_o breadth_n to_o 〈◊〉_d the_o beveller_n 12_o at_o 9_o ynche_n from_o the_o fore-end_n of_o the_o rular_a therefore_o i_o say_v every_o 9_o ynche_n of_o that_o length_n shall_v make_v a_o foot_n of_o board_n or_o which_o be_v all_o one_o shall_v be_v 〈◊〉_d to_o 144_o the_o square_a of_o 12_o ynche_n now_o 9_o ynche_n i_o find_v to_o be_v contain_v in_o 18_o foot_n the_o length_n 24_o time_n therefore_o i_o say_v the_o board_n assign_v do_v contain_v 14_o foot_n of_o board_n last_o there_o be_v in_o the_o stock_n 13_o such_o bourd_n i_o say_v the_o whole_a stock_n do_v contain_v 312_o foot_n of_o board_n two_o a_o table_n of_o 36_o ynche_n broad_a and_o 28_o foot_n long_o be_v to_o be_v measure_v here_o 36_o be_v great_a than_o any_o of_o the_o parallel_v find_v upon_o the_o rular_a therefore_o by_o the_o 2_o e_o of_o this_o i_o take_v ●8_o the_o half_a of_o it_o which_o i_o find_v to_o meet_v with_o 22_o the_o bevel_a line_n 〈◊〉_d 8_o ynche_n from_o the_o for'end_n of_o the_o rular_a therefore_o every_o 8_o ynche_n of_o length_n of_o the_o breadth_n 18_o shall_v contain_v a_o root_n of_o board_n but_o the_o breadth_n give_v be_v 36_o ynche_n that_o be_v twice_o 18_o therefore_o every_o 8_o ynche_n in_o length_n of_o that_o table_n shall_v be_v 2_o foot_n of_o board_n now_o again_o i_o find_v 8_o ynche_n in_o 28_o foot_n 42_o time_n therefore_o the_o table_n contain_v twice_o so_o many_o foot_n that_o be_v 84_o foot_n of_o board_n iii_o a_o pane_n of_o glass_n 7_o ynche_n broad_a be_v to_o be_v measure_v here_z 7_o be_v lesser_a than_o any_o of_o the_o parallel_n therefore_o by_o the_o 2_o e_o of_o this_o i_o take_v 14_o the_o double_a thereof_o which_o i_o observe_v to_o meet_v with_o 12_o at_o 10_o ynche_n and_o 2_o seven_o part_n of_o a_o inch_n from_o the_o fore-end_n therefore_o every_o 10_o ynche_n and_o 2_o seven_o part_n of_o a_o inch_n of_o 14_o ynche_n breadth_n shall_v be_v a_o foot_n of_o glass_n but_o the_o breadth_n give_v be_v but_o 7_o ynche_n therefore_o every_o 10_o ynche_n and_o 2_o seven_o part_n of_o a_o inch_n shall_v be_v but_o half_a a_o foot_n of_o glass_n of_o the_o measure_n of_o triangle_n and_o all_o other_o rightline_v plain_n 8_o a_o triangle_n be_v nothing_o else_o but_o the_o half_a of_o a_o quadrangle_n or_o parallelogramme_n and_o if_o it_o have_v one_o right_a angle_n it_o be_v the_o half_a of_o a_o rightangled_a parallelgramme_n therefore_o 9_o

solid_a measure_n iii_o a_o rightangle_v prisma_fw-la both_o who_o side_n 〈◊〉_d i_o mean_v contain_v the_o rightangle_n be_v 18_o ynche_n 〈◊〉_d the_o whole_a be_v in_o length_n 16_o foot_n be_v to_o be_v 〈◊〉_d 〈◊〉_d understand_v that_o as_o before_o be_v show_v as_o a_o triangle_n be_v but_o the_o half_a of_o a_o quadrangle_n so_o a_o prisma_fw-la be_v nought_o but_o the_o half_a of_o a_o parallelepipedum_fw-la saw_v longways_o from_o 〈◊〉_d to_o corner_n though_o the_o midst_n and_o hence_o in_o 〈◊〉_d it_o have_v the_o name_n this_o know_v i_o enter_v with_o the_o number_n give_v and_o i_o find_v 18_o to_o meet_v with_o 18_o at_o 5_o ynche_n and_o one_o three_o part_n of_o a_o inch_n from_o the_o oft_o name_v end_n of_o the_o rular_a therefore_o i_o say_v that_o 〈◊〉_d 5_o ynche_n and_o 〈◊〉_d three_o part_n of_o a_o inch_n in_o length_n of_o that_o stick_n shall_v be_v but_o half_a a_o foot_n of_o solid_a measure_n now_o because_o 5_o ynche_n and_o 1_o three_o of_o a_o inch_n be_v contain_v in_o 16_o foot_n 67_o time_n and_o 14_o sixteen_o part_n that_o be_v almost_o 68_o time_n the_o fore_n i_o say_v the_o 〈◊〉_d give_v do_v contain_v 〈◊〉_d 68_o half_a foot_n be_v or_o 34_o foot_n of_o 〈◊〉_d measure_n four_o a_o sispane_v solid_a all_o whole_a side_n be_v 6_o ynche_n broad_a a_o 〈◊〉_d and_o 16_o foot_n long_o be_v to_o be_v measure_v here_o the_o two_o line_n give_v be_v as_o above_o be_v teach_v the_o plumblin_n from_o the_o centre_n unto_o the_o midst_n of_o any_o one_o of_o the_o side_n and_o the_o half_a of_o the_o compass_n that_o as_o before_o be_v teach_v be_v 5_o ynche_n and_o 2_o 〈◊〉_d part_n of_o a_o inch_n this_o be_v as_o you_o see_v 18._o now_o 5_o and_o 2_o eleu'nth_n do_v meet_v with_o 18_o at_o 19_o ynche_n and_o 〈◊〉_d five_o part_n of_o a_o inch_n from_o the_o fore-end_n therefore_o i_o say_v that_o every_o 19_o 〈◊〉_d and_o one_o 〈◊〉_d part_n of_o a_o inch_n shall_v be_v a_o 〈◊〉_d of_o solid_a measure_n last_o because_o 16_o ynche_n and_o 1_o five_o part_n be_v 〈◊〉_d in_o 16_o foot_n 10_o time_n and_o 2_o fifteen_o pate_n i_o say_v that_o the_o timber_n stick_v give_v do_v contain_v 10_o foot_n of_o solid_a measure_n and_o some_o small_a quantity_n more_o last_o a_o round_a column_n or_o cylinder_n of_o 44_o ynche_n about_o &_o 12_o foot_n long_o be_v to_o be_v measure_v here_o according_a to_o that_o above_o teach_v the_o two_o line_n give_v be_v the_o half_a diameter_n &_o the_o half_a circumference_n this_o be_v 22_o that_o 7._o now_o these_o two_o do_v meet_v upon_o the_o rular_a at_o 11_o ynche_n and_o 17_o seventy_o two_o part_n of_o a_o inch_n from_o the_o fore-end_n there_o of_o therefore_o the_o stick_n contain_v about_o 13_o foot_n of_o timber_n or_o solid_a measure_n finis_fw-la a_o appendix_n to_o the_o mesolabium_n two_o thing_n for_o the_o further_a illustration_n of_o the_o instrument_n we_o have_v think_v good_a here_o to_o annex_v unto_o the_o former_a the_o one_o be_v a_o collation_n of_o this_o manner_n of_o measure_v with_o 〈◊〉_d common_o teach_v and_o practise_v 〈◊〉_d be_v of_o the_o measure_v of_o land_n by_o the_o 〈◊〉_d a_o foot_n of_o solid_a measure_n as_o all_o do_v general_o 〈◊〉_d cube_n of_o 12_o ynche_n that_o be_v a_o square_a or_o 〈◊〉_d 〈◊〉_d all_o who_o dimension_n to_o wit_n thickness_n breadth_n and_o length_n be_v equal_a and_o the_o content_n in_o number_n be_v find_v by_o a_o continual_a 〈◊〉_d of_o 12_o 12_o and_o 12_o thus_o 12_o 〈◊〉_d 12_o be_v 〈◊〉_d and_o 12_o time_n 〈◊〉_d be_v 〈◊〉_d therefore_o a_o foot_n of_o solid_a measure_n do_v contain_v 1728_o several_a cube_n of_o a_o 〈◊〉_d thickness_n breadth_n and_o height_n this_o be_v 〈◊〉_d it_o be_v the_o standard_n whereby_o this_o kind_n of_o measure_v be_v to_o be_v examine_v all_o artificer_n general_o do_v measure_n by_o a_o table_n of_o square_a number_n and_o therefore_o if_o the_o body_n give_v to_o be_v measure_v be_v square_a that_o be_v if_o the_o thickness_n and_o breadth_n be_v 〈◊〉_d they_o 〈◊〉_d give_v the_o just_a content_n but_o where_o these_o two_o dimension_n do_v differ_v there_o by_o their_o rule_n they_o do_v it_o not_o without_o some_o error_n for_o to_o bring_v it_o to_o the_o use_n of_o their_o table_n they_o must_v first_o make_v the_o thickness_n and_o breadth_n equal_a which_o they_o do_v by_o take_v the_o excess_n from_o the_o great_a and_o add_v of_o it_o to_o the_o lesser_a or_o which_o be_v all_o one_o by_o gird_v of_o the_o body_n about_o and_o by_o take_v of_o the_o quarter_n of_o the_o compass_n a_o example_n or_o two_o will_v make_v all_o plain_a suppose_v a_o body_n give_v to_o be_v measure_v be_v 10_o ynche_n thick_a and_o 14_o broad_a here_o they_o take_v 2_o from_o 14_o and_o add_v it_o unto_o 10_o and_o so_o do_v make_v all_o the_o side_n equal_a or_o by_o gird_v of_o it_o they_o find_v the_o compass_n to_o be_v 48._o and_o the_o quarter_n of_o 48_o to_o be_v 12._o and_o their_o table_n for_o the_o square_n of_o 12_o ynche_n do_v give_v 12_o ynche_n for_o the_o length_n require_v to_o make_v a_o foot_n of_o solid_a measure_n if_o this_o be_v 〈◊〉_d than_o 10_o 14_o and_o 12_o continual_o multiply_v between_o themselves_o shall_v be_v equal_a to_o 12_o 12_o &_o 12_o continual_o multiply_v between_o themselves_o but_o 10_o 14_o and_o 12_o do_v give_v for_o the_o product_n 1680._o and_o 12_o 12_o and_o 12_o as_o in_o former_a we_o see_v give_v 1728._o 〈◊〉_d the_o difference_n between_o 〈◊〉_d and_o 1680_o be_v 48._o therefore_o the_o loss_n in_o every_o foot_n of_o 〈◊〉_d body_n by_o their_o measure_n be_v 48_o inch_n 〈◊〉_d upon_o our_o rular_a you_o see_v 14_o the_o parallel_n to_o meet_v 〈◊〉_d 〈◊〉_d bevel_v line_n at_o 12_o inch_n and_o 12_o 35_o of_o a_o inch_n 〈◊〉_d end_n of_o the_o rular_a and_o by_o multiplication_n you_o 〈◊〉_d 10_o 14_o and_o 12_o 12_o 35_o do_v make_v 1728_o therefore_o our_o 〈◊〉_d be_v true_a if_o the_o body_n give_v be_v 8_o inch_n thick_a and_o 16_o broad_a they_o likewise_o take_v 4_o from_o 16_o and_o do_v add_v it_o unto_o 8_o and_o so_o as_o afore_o do_v 〈◊〉_d it_o to_o be_v equal_a to_o 12_o inch_n square_a which_o if_o it_o be_v true_a than_o the_o product_n of_o 8_o 16_o and_o 12_o shall_v be_v equal_a to_o the_o product_n of_o 12_o 12_o and_o 12._o but_o the_o product_n by_o the_o continual_a multiplication_n of_o 8_o 16_o and_o 12_o be_v but_o 1536_o and_o the_o product_n of_o 12_o 12_o and_o 12_o be_v 1728_o and_o the_o difference_n between_o 1728_o and_o 1536_o be_v 192_o therefore_o by_o that_o their_o measure_n there_o be_v lose_v in_o every_o foot_n 192_o inch_n now_o upon_o the_o 〈◊〉_d we_o find_v 8_o and_o 16_o to_o cross_v one_o another_o at_o 13_o ½_o and_o 8_o 16_o and_o 13_o ½_o continual_o multiply_v one_o by_o another_o do_v give_v the_o product_n 1728_o therefore_o this_o kind_n of_o measure_v by_o the_o rular_a be_v exact_a if_o it_o be_v 6_o inch_n thick_a &_o 18_o inch_n broad_a by_o the_o same_o reason_n every_o 12_o inch_n in_o length_n shall_v make_v a_o foot_n of_o 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measure_n of_o plain_n and_o 〈◊〉_d by_o the_o foot_n yet_o as_o before_o be_v mention_v it_o may_v easy_o be_v apply_v to_o other_o like_a sort_n of_o measure_v now_o among_o other_o there_o be_v none_o of_o more_o frequent_a 〈◊〉_d among_o we_o than_o the_o rod_n or_o perch_n for_o the_o measure_n of_o land_n meadow_n and_o wood_n by_o the_o acre_n and_o this_o be_v either_o not_o easy_a to_o be_v do_v by_o the_o unlearned_a or_o not_o speedy_o to_o be_v perform_v by_o any_o i_o have_v think_v it_o not_o

it_o be_v to_o be_v measure_v as_o the_o rightangled-parallelogramme_a only_o conceive_v that_o the_o number_n find_v shall_v be_v the_o double_a of_o that_o which_o be_v seek_v here_o therefore_o it_o must_v be_v conceive_v that_o of_o the_o two_o side_n enclude_v the_o rightangle_n the_o one_o be_v to_o be_v understand_v to_o be_v the_o breadth_n the_o other_o the_o length_n i_o suppose_v a_o rightangled-triangle_n who_o side_n include_v the_o rightangle_n be_v 18_o and_o 24_o be_v to_o be_v measure_v here_o i_o take_v 18_o for_o the_o height_n or_o breadth_n of_o the_o parallelogramme_n which_o also_o i_o find_v to_o meet_v with_o the_o bevel_a line_n 12_o precisly_a at_o 6_o ynche_n from_o the_o before_o end_n of_o the_o ruler_n again_o 6_o the_o say_a line_n find_v i_o find_v just_a 4_o time_n in_o 24_o the_o length_n give_v therefore_o i_o aver_v the_o triangle_n give_v to_o contain_v the_o half_a of_o 4_o foot_n that_o be_v 2_o foot_n of_o board_n 20_o if_o the_o triangle_n give_fw-mi be_v not_o rightangled_n then_o be_v it_o by_o a_o perpendicular_a let_v fall_n within_o the_o triangle_n from_o one_o of_o the_o corner_n unto_o the_o base_a to_o be_v reduce_v unto_o two_o rightangled_a triangle_n how_o this_o be_v to_o be_v do_v euclid_n teach_v at_o the_o 11_o &_o 12_o proposition_n of_o his_o ay_o book_n and_o p._n ramus_n at_o the_o 9_o &_o 10_o element_n of_o his_o v._o book_n of_o geometry_n it_o be_v also_o to_o be_v do_v by_o the_o squire_n or_o by_o a_o triangle_v level_a and_o otherwise_o two_o a_o obtuseangled_a triangle_n who_o three_o side_n be_v 25_o 40_o and_o 42_o be_v to_o be_v measure_v here_o by_o one_o of_o those_o above_o name_v way_n i_o find_v the_o perpendicular_a or_o plumbline_n fall_v from_o the_o great_a corner_n unto_o the_o opposite_a line_n to_o be_v ●8_o and_o 24_o i_o find_v upon_o the_o ruler_n to_o meet_v with_o the_o line_n of_o 12_o at_z 6_o ynche_n from_o the_o fore-end_n of_o the_o same_o again_o 6_o i_o find_v in_o 42_o seven_o time_n therefore_o the_o triangle_n give_v do_v contain_v half_a so_o many_o foot_n that_o be_v 3_o foot_n and_o a_o half_a of_o board_n 11_o from_o hence_o it_o be_v manifest_v how_o any_o rhombus_fw-la rhomboide_n trapezium_fw-la or_o irregular_a rightline_v multangle_v be_v to_o be_v measure_v to_o weet_v that_o they_o be_v to_o be_v measure_v by_o part_n or_o by_o the_o particular_a triangle_n which_o every_o such_o figure_n do_v contain_v example_n you_o may_v have_v in_o the_o xiiii_o book_n of_o ramus_n geometry_n or_o in_o any_o other_o which_o have_v write_v of_o geometry_n of_o the_o measure_n of_o any_o ordinate_a multangle_n figure_v 12_o ordinate_a multangle_v plain_n be_v measure_v by_o their_o half_a perimeter_n and_o the_o plumbline_n from_o the_o centre_n unto_o the_o midst_n of_o any_o one_o side_n these_o sort_n of_o plain_n may_v be_v measure_v as_o the_o former_a be_v by_o divide_v they_o into_o their_o several_a triangle_n but_o this_o last_o be_v far_o short_a and_o therefore_o to_o be_v embrace_v &_o rather_o to_o be_v use_v in_o practice_n here_o the_o half_a of_o the_o perimeter_n or_o bout-line_n 〈◊〉_d to_o the_o length_n in_o a_o 〈◊〉_d 〈◊〉_d and_o the_o plumbline_n here_o be_v in_o stead_n of_o the_o height_n or_o breadth_n there_o 1_o a_o 〈◊〉_d pentangle_v who_o side_n be_v 24_o ynche_n a_o piece_n and_o the_o 〈◊〉_d from_o the_o centre_n to_o the_o midst_n of_o any_o one_o of_o the_o side_n 16_o be_v to_o be_v measure_v here_z 10_o the_o plumbline_n or_o height_n do_v upon_o the_o rular_a meet_v with_o the_o 〈◊〉_d line_n 12_o at_o 9_o ynche_n from_o the_o oft_o name_v end_n and_o 9_o be_v contain_v in_o 60_o the_o half_a of_o the_o perimeter_n 6_o time_n and_o two_o three_o therefore_o the_o pentangle_v give_v contain_v 6_o foot_n and_o two_o three_o part_n of_o a_o foot_n of_o board_n two_o a_o sexangled_a ordinate_a figure_n who_o side_n be_v 12_o ynche_n broad_a a_o piece_n be_v to_o be_v measure_v here_o the_o plumbline_n from_o the_o centre_n to_o the_o midst_n of_o any_o one_o side_n be_v 10_o ynche_n and_o 8_o one_o and_o twentyth_n of_o a_o inch_n the_o double_a of_o 10_o that_o be_v 20._o and_o 〈◊〉_d one_o &_o twenty_o part_n of_o one_o inch_n i_o observe_v to_o meet_v with_o the_o beveller_n 12_o about_z 7_o ynche_n &_o one_o quarter_n of_o a_o inch_n from_o the_o before_o end_n of_o the_o rular_a which_o 7_o and_o a_o quarter_n be_v contain_v in_o 44_o six_o time_n and_o two_o twenty_o nine_o part_n therefore_o i_o say_v the_o sexangled_a figure_n give_v do_v contain_v 6_o foot_n of_o board_n and_o some_o small_a quantity_n more_o the_o circle_n or_o circular_a form_n be_v in_o like_a manner_n measure_v for_o 13_o the_o circle_n be_v measure_v by_o the_o ray_n and_o the_o half_a of_o the_o perimeter_n for_o sauth_n the_o geometrician_n planus_fw-la è_fw-la radio_fw-la &_o peripheriae_fw-la 〈◊〉_d est_fw-la area_n 〈◊〉_d the_o plain_a of_o the_o ray_n and_o half_a of_o the_o circumference_n be_v the_o content_a of_o the_o circle_n a_o round_a table_n who_o diameter_n be_v 4_o foot_n and_o 8_o ynche_n or_o 56_o ynche_n be_v to_o be_v measure_v the_o half_a of_o 59_o be_v 28_o and_o the_o half_a of_o the_o circumference_n be_v 88_o now_o ●8_o be_v geat_a than_o any_o of_o the_o 〈◊〉_d i_o take_v 14_o the_o half_a thereof_o wh_o ch_n i_o find_v to_o meet_v with_o the_o bevel_a line_n 12_o at_o 10_o ynche_n and_o a_o quarter_n from_o the_o for'end_n of_o the_o rular_a therefore_o i_o say_v every_o 10_o ynche_n and_o a_o quarter_n of_o a_o inch_n of_o that_o table_n shall_v be_v 2_o foot_n of_o board_n and_o because_o 88_o do_v contain_v 10_o and_o 1_o quarter_n 8_o time_n and_o 20_o forty_o one_o therefore_o i_o say_v the_o whole_a do_v contain_v 16_o foot_n of_o of_o board_n and_o 144_o ynche_n chap._n iii_o of_o the_o measure_n of_o body_n or_o solid_n by_o the_o foot_n 1_o a_o body_n be_v a_o magnitude_n of_o three_o dimension_n a_o body_n or_o solid_n be_v a_o magnitude_n which_o have_v length_n breadth_n and_o thickness_n 2_o here_o the_o measure_n be_v also_o a_o body_n to_o weet_v the_o cube_n of_o 12_o that_o be_v 1728._o this_o be_v our_o opinion_n yet_o if_o any_o shall_v think_v it_o a_o paradox_n or_o shall_v gain_v say_v it_o or_o maintain_v the_o contrary_a we_o will_v not_o contend_v and_o 3_o of_o the_o three_o dimension_n two_o be_v give_v the_o three_o be_v seek_v 4_o body_n be_v of_o diverse_a sort_n but_o we_o will_v at_o this_o time_n meddle_v only_o with_o such_o as_o be_v comprehend_v of_o parallelogramme_n or_o with_o cylinder_n true_a it_o be_v that_o this_o our_o instrument_n may_v be_v fit_v and_o apply_v to_o the_o measure_n of_o many_o other_o sort_n of_o solid_a body_n but_o because_o we_o see_v no_o great_a use_n of_o it_o in_o the_o measure_n of_o any_o other_o then_o of_o these_o two_o sort_n therefore_o we_o will_v declare_v the_o use_n of_o it_o in_o the_o measure_n of_o these_o two_o only_a of_o these_o the_o first_o be_v the_o parallelepipedum_fw-la which_o be_v a_o plain_a solid_a who_o opposite_a side_n be_v parallelogramme_n i_o a_o rightangle_v parallelepipedum_fw-la or_o a_o square_a 〈◊〉_d log_n of_o 12_o ynche_n 〈◊〉_d 18_o broad_a and_o 16_o foot_n long_o be_v to_o be_v measure_v here_o the_o 〈◊〉_d and_o breadth_n be_v give_v the_o length_n be_v seek_v these_o i_o find_v upon_o the_o rular_a to_o meet_v at_o 8_o ynche_n from_o the_o 〈◊〉_d name_v fore-end_n therefore_o i_o say_v every_o 8_o ynche_n of_o that_o log_n in_o 〈◊〉_d shall_v make_v a_o 〈◊〉_d 〈◊〉_d of_o timber_n and_o because_o i_o find_v 8_o ynche_n in_o 16_o foot_n 24_o time_n therefore_o i_o say_v in_o the_o tymbersticke_a give_v there_o be_v 24_o foot_n of_o solid_a measure_n two_o a_o square_a stone_n of_o 14_o ynche_n thick_a five_o 〈◊〉_d or_o 60_o ynche_n broad_a and_o 10_o foot_n long_o be_v to_o be_v measure_v here_o 60_o be_v great_a than_o any_o of_o the_o parallel_n upon_o the_o rular_a therefore_o i_o take_v 12_o the_o 5_o the_o part_n of_o it_o and_o i_o observe_v 12_o and_o 14_o to_o meet_v at_o 10_o ynche_n and_o 2_o seaunth_n part_n of_o a_o inch_n from_o the_o fore-end_n of_o the_o rular_a therefore_o i_o say_v that_o every_o 10_o ynche_n and_o 2_o seaunth_n part_n of_o a_o inch_n in_o length_n of_o that_o stone_n shall_v be_v 5_o foot_n of_o solid_a measure_n and_o because_o that_o 10_o foot_n contain_v 10_o ynche_n and_o 2_o seaunth_n part_n of_o a_o 〈◊〉_d 11_o time_n and_o 5_o seau'nty_a twoo_n therefore_o i_o say_v the_o whole_a stone_n contain_v 58_o foot_n and_o one_o three_o part_n of_o a_o foot_n of_o

amiss_o for_o the_o further_a declaration_n of_o the_o use_n &_o excellency_n of_o this_o invention_n and_o for_o the_o benefit_n of_o other_o to_o add_v unto_o the_o former_a something_o of_o this_o also_o a_o acre_n of_o land_n be_v as_o before_o we_o hear_v a_o oblong_a parallelogramme_n who_o breadth_n be_v 4_o pole_n and_o length_n 40._o therefore_o a_o acre_n contain_v 160_o square_a rod_n of_o what_o figure_n or_o form_n soever_o it_o be_v for_o 4_o time_n 40_o be_v 160._o this_o here_o in_o this_o case_n be_v as_o 144_o be_v in_o board_n and_o 1728_o be_v in_o solid_a measure_n as_o it_o be_v the_o standard_n whereby_o this_o kind_n of_o measure_n be_v to_o be_v examine_v land_n meadow_n or_o wood_n be_v to_o be_v measure_v by_o this_o instrument_n in_o all_o respect_n as_o board_n or_o glass_n be_v measure_v only_o two_o thing_n be_v here_o first_o to_o be_v know_v the_o first_o be_v that_o as_o there_o the_o bevel_a line_n of_o 12_o be_v always_o give_v for_o the_o breadth_n as_o appropriate_v to_o that_o kind_n of_o measure_n so_o here_o another_o peculiar_a to_o this_o manner_n of_o measure_n be_v in_o like_a sort_n to_o be_v draw_v overth_n wart_n the_o parallel_a line_n from_o 6_o 〈◊〉_d of_o a_o inch_n from_o the_o fore-end_n of_o the_o rular_a in_o the_o parallel_n 24_o unto_o 13_o and_o ⅓_n in_o the_o parallel_n 12._o the_o second_o be_v that_o 〈◊〉_d there_o line_n and_o space_n do_v answer_v and_o be_v denominate_v of_o inch_n and_o part_n of_o inch_n so_o here_o the_o same_o line_n and_o space_n must_v be_v suppose_v to_o signify_v rod_n and_o perch_n and_o part_n of_o the_o same_o a_o example_n or_o two_o will_v make_v all_o plain_a and_o manifest_a 1_o suppose_v a_o right_n angle_v square_a field_n of_o 16_o pole_n broad_a and_o 30_o in_o length_n be_v to_o be_v measure_v here_o i_o find_v 16_o to_o meet_v with_o the_o line_n of_o land_n measure_n at_o 10_o inch_n from_o the_o before_o end_n of_o the_o rular_a therefore_o i_o say_v that_o every_o 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acre_n 3_o admit_v that_o a_o wood_n to_o be_v measure_v be_v 160_o rod_n square_a that_o be_v that_o every_o side_n of_o the_o same_o be_v 160_o pole_n in_o length_n here_o 160_o be_v far_o great_a than_o any_o number_n upon_o the_o rular_a therefore_o i_o take_v 16_o the_o ten_o part_n of_o 160_o which_o i_o 〈◊〉_d to_o cross_v the_o line_n of_o land_n measure_n at_o 10_o inch_n from_o the_o before_o end_n of_o the_o rular_a wherefore_o first_o i_o affirm_v that_o every_o 10_o pole_n of_o the_o breadth_n of_o 160_o pole_n shall_v contain_v 10_o acre_n of_o wood_n again_o because_o 160_o do_v 10_o sixteen_o time_n i_o say_v that_o the_o wood_n do_v contain_v 160_o acre_n or_o which_o be_v all_o one_o that_o every_o pole_n in_o breadth_n of_o that_o length_n do_v contain_v a_o acre_n but_o some_o man_n may_v object_v and_o say_v this_o be_v not_o a_o matter_n worth_a the_o learning_n or_o of_o so_o many_o word_n see_v that_o it_o be_v well_o know_v that_o there_o be_v many_o man_n whole_o unlearned_a yea_o and_o some_o of_o no_o extraordinary_a part_n of_o capacity_n or_o understanding_n which_o can_v measure_v land_n meadow_n or_o wood_n so_o that_o they_o be_v square_a or_o of_o any_o ordinary_a form_n i_o confess_v i_o have_v know_v diverse_a such_o and_o yet_o be_v not_o this_o our_o labour_n in_o 〈◊〉_d or_o altogether_o unprofitable_a for_o first_o what_o they_o do_v with_o much_o study_n or_o contention_n of_o mind_n and_o be_v long_o in_o do_v of_o it_o we_o teach_v to_o do_v with_o great_a facility_n and_o speed_n for_o they_o although_o the_o field_n be_v a_o rightangled_a parallelogramme_n must_v first_o measure_n at_o the_o least_o two_o side_n comprehend_v one_o or_o other_o of_o the_o rightangle_v and_o then_o multiply_v these_o two_o side_n the_o one_o by_o the_o other_o and_o last_o the_o product_v find_v they_o must_v divide_v by_o 160_o and_o so_o by_o the_o quotient_a now_o find_v answer_v the_o question_n propound_v we_o save_v a_o great_a 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the_o 〈◊〉_d and_o that_o on_o which_o side_n or_o end_n of_o the_o field_n you_o shall_v think_v good_a