Selected quad for the lemma: mind_n

Word A	Word B	Word C	Word D	Occurrence	Frequency Band	MI	MI Band	Prominent
mind_n	line_n	page_n	read_v	1,636	5	9.6665	5	false

Text snippets containing the quad

ID	Title	Author	Corrected Date of Publication (TCP Date of Publication)	STC	Words	Pages
A29761	The description and use of the trianguler quadrant being a particular and general instrument, useful at land or sea, both for observation and operation : more universally useful, portable and convenient, than any other yet discovered, with its uses in arithmetick, geometry, superficial and solid, astronomy, dyalling, three wayes, gaging, navigation, in a method not before used / by John Brown, philomath.	Brown, John, philomath.	1671 (1671)	Wing B5041; ESTC R15524	175,812	507

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way_n that_o will_v be_v far_o to_o seek_v by_o they_o that_o use_v their_o time_n because_o the_o precept_n be_v explain_v by_o thing_n of_o frequent_a use_n that_o for_o the_o most_o part_n be_v contain_v in_o city_n town_n or_o house_n as_o land_n and_o timber_n board_n &_o stone_n roof_n chimney_n wall_n and_o floor_n compute_v and_o reduce_v at_o once_o in_o thickness_n less_o or_o more_o the_o cut_v platoe_n body_n five_o which_o be_v not_o yet_o make_v six_o and_o they_o the_o best_a way_n to_o contrive_v and_o dial_n on_o they_o fix_v their_o measure_n and_o their_o magnitude_n in_o circle_n circumscribe_v who_o property_n by_o old_a euclid_n and_o diggs_n have_v be_v describe_v then_o also_o in_o astronomy_n be_v many_o proposition_n which_o fit_o to_o the_o rule_n i_o apply_v avoid_v repetition_n and_o after_o in_o the_o pleasant_a art_n of_o shadow_n i_o do_v wander_v to_o draw_v hour-line_n in_o every_o part_n both_o upright_a over_o and_o under_z and_o all_o the_o usual_a 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all_o other_o sea_n instrument_n that_o they_o do_v use_v at_o sea_n for_o observation_n and_o sure_o i_o be_o it_o will_v abuse_v they_o in_o their_o operation_n as_o in_o the_o follow_a discourse_n to_o they_o that_o willing_a be_v it_o will_v appear_v with_o easy_a force_n if_o they_o have_v eye_n to_o see_v the_o method_n and_o the_o manner_n use_v as_o near_o as_o i_o be_v able_a to_o follow_v the_o old_a way_n still_o use_v and_o count_v warrantable_a and_o in_o this_o have_v do_v my_o best_a 〈…〉_z up_o my_o male_a ascribe_v to_o myself_o the_o least_o will_v have_v the_o truth_n prevail_v and_o give_v the_o honour_n and_o the_o praise_n to_o he_o that_o have_v we_o make_v of_o willing_a mind_n his_o fame_n to_o raise_v by_o his_o assist_a aid_n to_o who_o be_v honour_n now_o and_o eke_o henceforth_o for_o evermore_o ascribe_v by_o all_o they_o that_o seek_v the_o truth_n for_o to_o adore_v j._n b._n errata_fw-la page_n 28._o line_n 8._o for_o rombord_n read_v romboide_n p._n 73._o l._n last_o f._n 337_o r._n 247._o p._n 75._o l._n 1._o f._n 7._o r._n 8._o p_o 87._o l._n 14._o r._n multiply_v by_o p._n 89._o l._n 14._o f._n 5_o 371616._o r._n 538.1616_o &_o l._n 21._o f._n 537_o r._n 538._o p._n 90._o l._n 4._o f._n 537_o r._n 538._o &_o l._n 5._o add_v be_v better_o do_v with_o a_o parallel_n answer_v p._n 100_o l._n 2_o add_v the_o thread_n p._n 128._o l_o 2._o deal_n 10_o min._n p._n 133._o l._n 6._o f._n 60_o r._n 16._o p._n 143._o l._n 10_o 11._o f._n from_o 12_o to_o 7_o r._n from_o 7_o to_o 12._o p._n 146._o l._n 22._o f_o 12_o section_n r._n 13_o section_n p._n 158_o l._n last_o deal_n and._n p._n 160._o l._n 11._o f._n 72_o r._n 720_o also_o in_o line_n 15_o &_o 23._o p._n 164._o l._n 19_o f._n diameter_n r._n area_n p._n 165._o l._n last_o add_v to_o 707._o p._n 184._o l._n 10_o f._n foot_n r._n brick_n &_o l._n 20._o f._n ½_o r._n 1_o ½_o p._n 187._o l._n 17._o f._n ceiling_n r._n tile_v p._n 201._o l._n 11._o f._n 52_o link_n r._n 55_o link_n &_o l._n 12._o f._n 48_o acre_n r._n 4_o acre_n 3_o rood_n &_o 8000_o link_n p_o 102._o l._n 5._o f._n 21_o acre_n 42_o link_n r._n 2_o acre_n 0_o rood_n but_o 14760_o link_n read_v so_o likewise_o in_o l._n 11._o of_o the_o same_o page_n p._n 204._o l._n 1._o f._n 16_o ½_o r._n 18_o ½_o p._n 205._o l._n 8._o f._n 55_o r._n 50._o &_o r._n 50_o f._n 55_o in_o l._n 21_o &_o 22._o p._n 206._o l._n 19_o f_o 4-50_a r._n 4-50000_a &_o l._n 21._o f._n 1_o chain_n 25_o r._n 11_o chain_n 23._o p._n 229._o l._n 16._o f._n 8-10_a the_o r._n 8-100_a p._n 231._o l._n 15._o f_o of_o r._n at_o p._n 234._o l._n 22._o f._n 1_o of_o a_o foot_n r._n 1.10_o the_o of_o a_o foot_n p._n 236_o the_o 3_o line_n over_o 134-5_a be_v to_o come_v in_o after_o 134-5_a also_o the_o two_o line_n over_o 3-545_a shall_v come_v in_o after_o 3-545_a p._n 257._o l._n 13._o f._n ●496_n r._n 249-6_a p._n 370._o l._n 3._o f._n sine_fw-la r._n cousin_a p._n 383._o l._n 22._o add_v by_o the_o general_a scale_n p._n 384._o l._n 14._o f._n =_o s._n ☉_o r._n =_o cousin_a p._n 414._o l._n 11._o f._n or_o r._n on_o p._n 420._o l._n 22._o f._n 71_o r._n 31._o p._n 429._o l._n 15._o f._n declination_n r._n sun_n right_a ascension_n the_o description_n and_o some_o use_v of_o the_o triangular_a quadrant_n or_o the_o sector_n make_v a_o quadrant_n be_v a_o excellent_a instrument_n for_o observation_n and_o operation_n at_o land_n or_o sea_n perform_v all_o the_o use_v of_o the_o fore-staff_n davis-quadrant_n gunter's-bow_n gunter's-cross-staff_n gunter's-quadrant_n and_o sector_n with_o far_o more_o conveniency_n and_o as_o much_o exactness_n as_o any_o or_o all_o of_o they_o will_v do_v the_o description_n thereof_o 1._o first_o it_o be_v a_o joint_v rule_n or_o sector_n make_v to_o what_o length_n or_o radius_fw-la you_o please_v as_o to_o 6_o 9_o 12_o 18_o 24_o 30_o or_o 36_o inch_n length_n when_o it_o be_v fold_v or_o shut_v together_o the_o short_a of_o which_o length_n be_v big_a enough_o for_o land_n use_v or_o paper_n draught_n the_o four_o last_o for_o sea_n use_v or_o observation_n to_o which_o be_v add_v a_o three_o piece_n of_o the_o same_o length_n of_o the_o sector_n with_o a_o tennon_n at_o each_o end_n to_o fit_v into_o two_o mortice-hole_n at_o the_o two_o end_n of_o the_o inside_n of_o the_o sector_n to_o make_v it_o a_o aequilateral_a triangle_n from_o which_o shape_n and_o its_o use_n it_o be_v proper_o call_v a_o triangular_a quadrant_n 2._o second_o as_o to_o the_o line_n graduate_v thereon_o they_o may_v be_v more_o or_o less_o as_o your_o use_n of_o they_o and_o as_o the_o cost_v you_o will_v bestow_v shall_v please_v to_o command_v but_o to_o make_v it_o complete_a for_o the_o promise_a premise_n these_o that_o follow_v be_v necessary_a to_o be_v inscribe_v thereon_o as_o in_o the_o figure_n thereof_o and_o first_o you_o be_v in_o order_n hereunto_o to_o consider_v the_o outer-edge_n of_o the_o sector_n or_o instrument_n the_o inner-edge_n the_o quadrantal-side_n the_o sector-side_n and_o the_o three_o or_o loose-piece_n also_o the_o fix_a or_o head-leg_n the_o moving-leg_n the_o head_n and_o the_o end_n of_o each_o leg_n also_o the_o head_n and_o leg_n centre_n of_o which_o more_o in_o its_o proper_a place_n 1._o and_o first_o on_o the_o outer-edge_n be_v place_v the_o line_n of_o artificial_a number_n tangent_n sin_n and_o verse_v sin_n to_o as_o large_a a_o radius_fw-la as_o the_o instrument_n will_v bear_v 2._o second_o on_o the_o inside_n or_o edge_n on_o short_a rule_n be_v place_v inch_n foot_n measure_n the_o line_n of_o 112_o

survey_v and_o dial_v sect._n vi_o to_o divide_v a_o line_n into_o any_o number_n of_o part_n take_v the_o whole_a length_n of_o the_o line_n between_o your_o compass_n and_o set_v one_o point_n in_o the_o number_n of_o part_n you_o will_v have_v the_o line_n divide_v into_o with_o the_o other_o lay_v the_o thread_n to_o nd_o and_o there_o keep_v it_o then_o take_v the_o nd_o from_o 1_o to_o the_o thread_n and_o that_o shall_v divide_v the_o line_n into_o the_o part_n require_v example_n let_v ab_fw-la be_v to_o be_v divide_v into_o 7_o part_n take_v ab_fw-la make_v it_o a_o parallel_n in_o 7_o lay_v the_o thread_n to_o the_o nd_o there_o keep_v it_o then_o the_o =_o 1_o shall_v divide_v the_o line_n into_o 7_o part_n but_o if_o the_o line_n be_v to_o be_v divide_v into_o many_o part_n as_o suppose_v 73_o then_o first_o fit_v the_o whole_a line_n in_o =_o 73_o then_o take_v out_o the_o =_o 72_o 71_o &_o 70_o for_o the_o odd_a 3_o then_o the_o =_o 10_o s._n for_o every_o 10_o division_n than_o the_o =_o 1_o for_o the_o small_a part_n or_o else_o you_o shall_v find_v it_o almost_o a_o impossible_a thing_n to_o take_v at_o once_o any_o distance_n which_o be_v turn_v above_o 50_o time_n over_o shall_v not_o at_o last_o happen_v to_o be_v more_o or_o less_o than_o the_o desire_a number_n require_v note_v that_o if_o the_o give_v number_n happen_v to_o be_v such_o that_o the_o part_n will_v fall_v too_o near_o the_o centre_n as_o suppose_v 11_o 12_o or_o any_o number_n under_o 30_o then_o you_o may_v double_v treble_a or_o quadruple_a the_o number_n and_o then_o count_v 2_o 3_o or_o 4_o for_o one_o of_o the_o number_n require_v as_o for_o example_n suppose_v i_o will_v divide_v a_o line_n into_o 15_o part_n multiply_v 15_o by_o 6_o and_o it_o make_v 90_o now_o in_o regard_n you_o have_v multiply_v 15_o by_o 6_o you_o must_v take_v the_o =_o 6_o instead_o of_o the_o =_o 1_o to_o divide_v the_o line_n into_o 15_o part_n between_o your_o compass_n because_o the_o whole_a line_n be_v set_v in_o =_o 90_o instead_o of_o =_o 15_o which_o be_v 6_o time_n as_o much_o as_o 15._o note_v also_o if_o the_o line_n be_v too_o big_a for_o your_o scale_n then_o take_v half_a or_o a_o three_o and_o make_v it_o a_o =_o in_o the_o give_v line_n then_o take_v out_o the_o =_o 1_o and_o turn_v two_o or_o three_o time_n to_o divide_v the_o line_n according_a to_o your_o mind_n when_o it_o be_v too_o large_a for_o your_o scale_n these_o two_o last_o be_v not_o to_o be_v do_v by_o the_o line_n of_o number_n but_o proper_a for_o the_o line_n of_o sines_n only_o unless_o you_o turn_v your_o line_n to_o be_v divide_v into_o number_n and_o then_o work_v by_o proportion_n as_o thus_o as_o the_o whole_a number_n of_o part_n be_v to_o the_o whole_a line_n in_o any_o other_o part_n so_o be_v 1_o to_z as_o many_o of_o those_o part_n as_o belong_v to_o 1._o sect._n vii_o to_o find_v a_o mean_a proportion_n between_o two_o line_n or_o number_n give_v a_o mean_a proportion_n between_o two_o line_n or_o number_n be_v that_o number_n which_o be_v multiply_v by_o itself_o shall_v produce_v a_o number_n equal_a to_o the_o product_n of_o the_o two_o number_n give_v when_o they_o be_v multiply_v the_o one_o by_o the_o other_o example_n let_v 4_o and_o 9_o be_v two_o number_n between_o which_o a_o geometrical_a mean_n be_v require_v 4_o and_o 9_o multiply_v together_o make_v 36_o so_o also_o 6_o multiply_v by_o itself_o be_v 36_o therefore_o 6_o be_v a_o mean_a proportional_a between_o 4_o and_o 9_o to_o find_v this_o by_o arithmetic_n be_v by_o find_v the_o square-root_n of_o 36._o but_o by_o the_o line_n of_o number_n thus_o divide_v the_o distance_n between_o 4_o and_o 9_o into_o two_o equal_a part_n and_o the_o middle-point_n will_v be_v find_v to_o be_v 6_o the_o geometrical_a mean_a proportional_a require_v but_o to_o do_v it_o by_o the_o line_n of_o line_n do_v thus_o first_o join_v the_o line_n or_o number_n together_o to_o get_v the_o sum_n of_o they_o and_o also_o the_o half_a sum_n and_o subtract_v one_o from_o the_o other_o to_o get_v the_o difference_n and_o half_a the_o difference_n then_o count_v the_o half_a difference_n from_o the_o centre_n downward_o and_o note_v where_o it_o end_v then_o take_v the_o half_a sum_n between_o your_o compass_n lay_v your_o thread_n to_o 00_o on_o the_o loose-piece_n then_o set_v one_o point_n in_o the_o half-difference_n on_o the_o line_n of_o line_n see_v where_o on_o the_o loose-piece_n the_o other_o point_n shall_v touch_v the_o thread_n and_o mark_v the_o place_n with_o a_o bead_n on_o the_o thread_n or_o a_o speck_n of_o ink_n or_o otherwise_o for_o the_o measure_n from_o thence_o to_o the_o centre_n be_v the_o mean_a proportional_a require_v or_o else_o use_v this_o most_o excellent_a way_n by_o geometry_n draw_v the_o line_n ab_fw-la and_o from_o any_o scale_n of_o equal_a part_n take_v off_o 4_o and_o 9_o and_o lay_v they_o from_o c_z to_z a_o and_o b_o then_o find_v out_o the_o true_a middle_n between_o a_o and_o b_o as_o at_z e_z and_o draw_v the_o half_a circle_n adb_n then_o on_o c_o erect_v a_o perpendicule_a line_n as_o cd_o then_o if_o you_o take_v cd_o between_o the_o compass_n and_o measure_v it_o on_o the_o same_o scale_n that_o you_o take_v 4_o and_o 9_o from_o and_o you_o shall_v find_v it_o to_o be_v 6_o the_o true_a mean_a proportional_a require_v be_v only_o the_o way_n by_o the_o line_n of_o line_n as_o by_o consider_v the_o triangle_n cde_v will_v appear_v to_o do_v this_o by_o the_o sector_n open_v the_o line_n of_o line_n to_o a_o right-angle_n by_o 3_o 4_o &_o 5_o or_o 6_o 8_o &_o 10._o thus_o take_v 10_o latteral_o between_o your_o compass_n make_v it_o a_o parallel_n in_o 6_o and_o 8_o then_o be_v the_o line_n of_o line_n open_v to_o a_o right-angle_n or_o if_o your_o rule_n be_v large_a and_o your_o compass_n small_a then_o take_v latteral_a 5_o the_o half_a of_o 10_o and_o make_v it_o a_o parallel_n in_o 3_o and_o 4_o the_o half_a of_o 6_o and_o 8_o and_o it_o be_v rectangle_n also_o then_o set_v half_o the_o difference_n on_o one_o leg_n from_o the_o centre_n then_o have_v half_o the_o sum_n between_o your_o compass_n set_v one_o point_n in_o the_o half-difference_n last_o count_v and_o turn_v the_o other_o point_n to_o the_o other_o leg_n and_o there_o it_o shall_v show_v the_o mean_a proportional_a number_n require_v 1._o to_o make_v a_o square_a equal_a to_o a_o oblong_a find_v a_o mean_a proportion_n between_o the_o length_n and_o the_o breadth_n of_o the_o oblong_a and_o that_o shall_v be_v the_o side_n of_o a_o square_n equal_a to_o the_o oblong_a example_n let_v the_o breadth_n of_o the_o oblong_o be_v 4_o and_o the_o length_n 9_o the_o mean_a proportion_n will_v be_v find_v to_o be_v 6_o therefore_o a_o square_a who_o side_n be_v 6_o be_v equal_a to_o a_o oblong_a who_o breadth_n be_v 4_o and_o length_n 9_o of_o the_o same_o part_n 2._o to_o make_v a_o square_a equal_a to_o a_o triangle_n find_v a_o mean_a proportion_n between_o the_o half_a base_a and_o the_o whole_a perpendicule_a and_o that_o shall_v be_v the_o side_n of_o a_o square_n equal_a to_o the_o triangle_n example_n if_o the_o half-base_a of_o a_o gable-end_n be_v 10_o and_o the_o whole_a perpendicule_a 11-18_a the_o mean_a proportion_n between_o 10_o and_o 11-18_a be_v 10-575_a the_o side_n of_o the_o square_n equal_a to_o that_o triangle_n or_o gable-end_n require_v 3._o to_o find_v a_o proportion_n between_o the_o superfecy_n though_o unlike_a to_o one_o another_o first_o to_o every_o superfecy_n find_v the_o side_n of_o his_o equal_a square_n whether_o it_o be_v circle_n oblong_v romboide_n or_o triangle_n then_o the_o proportion_n between_o the_o side_n of_o those_o square_n shall_v be_v the_o proportion_n one_o to_o another_o example_n suppose_v i_o have_v a_o triangle_n and_o a_o circle_n and_o the_o side_n of_o the_o square_n equal_a to_o the_o circle_n be_v 10_o inch_n and_o the_o side_n of_o the_o square_n equal_a to_o the_o triangle_n be_v 15_o inch_n the_o proportion_n between_o these_o two_o square_n as_o they_o be_v line_n be_v as_o 10_o to_o 15_o but_o as_o superfecy_n as_o 100_o to_o 45_o be_v thus_o find_v out_o take_v the_o extent_n between_o 15_o and_o 10_o on_o the_o line_n of_o number_n and_o repeat_v it_o two_o time_n the_o same_o way_n from_o 100_o and_o it_o shall_v reach_v to_o 45_o the_o proportion_n as_o superfecy_n between_o that_o circle_n and_o triangle_n who_o square_n equal_v be_v 15_o and_o 10._o 4._o to_o make_v one_o superfecy_n equal_a to_o another_o superfecy_n of_o another_o shape_n but_o