Selected quad for the lemma: hand_n

Word A	Word B	Word C	Word D	Occurrence	Frequency Band	MI	MI Band	Prominent
hand_n	left_a	right_a	side_n	20,818	5	7.2755	4	true

Text snippets containing the quad

ID	Title	Author	Corrected Date of Publication (TCP Date of Publication)	STC	Words	Pages
A48331	The compleat surveyor containing the whole art of surveying of land by the plain table, theodolite, circumferentor, and peractor ... : together with the taking of all manner of heights and distances, either by William Leybourn.	Leybourn, William, 1626-1716.	1653 (1653)	Wing L1907; ESTC R20856	115,157	173

and_o that_o you_o will_v know_v the_o height_n thereof_o you_o must_v observe_v with_o your_o instrument_n the_o angle_n cba_n and_o measure_v the_o distance_n basilius_n so_o have_v you_o in_o the_o right_a angle_a triangle_n abc_n the_o base_a ab_fw-la and_o the_o angle_n at_o the_o base_a cba_n then_o may_v you_o by_o the_o 1._o case_n find_v the_o side_n ca_n which_o be_v the_o height_n of_o the_o thing_n require_v in_o the_o resolve_v of_o plain_a triangle_n there_o be_v several_a case_n of_o which_o i_o will_v only_o insist_v on_o those_o that_o have_v most_o relation_n to_o the_o work_n in_o hand_n and_o first_o of_o right_a angle_a plain_a triangle_n case_n i._o in_o a_o right_n angle_v plain_a triangle_n the_o base_a and_o the_o angle_n at_o the_o base_a be_v give_v to_o find_v the_o perpendicular_a in_o the_o right_a angle_a triangle_n follow_v abc_n there_o be_v give_v the_o base_a thereof_o basilius_n 400_o foot_n and_o the_o angle_n at_o the_o base_a cba_n 30_o degree_n and_o it_o be_v require_v to_o find_v the_o perpendicular_a ca._n now_o because_o the_o angle_n cba_n be_v give_v the_o angle_n bca_n be_v also_o give_v it_o be_v the_o compliment_n of_o the_o other_o to_o 90_o degree_n and_o therefore_o the_o angle_n bca_n be_v 60_o degree_n then_o to_o find_v the_o perpendicular_a ca_n the_o proportion_n be_v as_o the_o sine_fw-la of_o the_o angle_n bca_n 60_o degree_n which_o be_v 9,937531_o be_v to_o the_o logarithm_n of_o the_o side_n basilius_n 400_o foot_n which_o be_v 2,602059_o so_o be_v the_o sine_fw-la of_o the_o angle_n cba_n 30_o degree_n which_o be_v 9,698970_o the_o sum_n of_o the_o second_o and_o three_o number_n add_v 12,301029_o the_o first_o number_n substract_v from_o the_o sum_n 9,937531_o to_o the_o logarithm_n of_o the_o side_n ca_n which_o be_v 2,363498_o the_o near_a absolute_a number_n answer_v to_o this_o logarithm_n be_v 231_o ferè_fw-la and_o that_o be_v the_o length_n of_o the_o side_n ca_n in_o foot_n which_o be_v the_o thing_n require_v a_o general_a rule_n in_o all_o proportion_n wrought_v by_o sines_n and_o logarithm_n you_o must_v observe_v this_o for_o a_o general_a rule_n viz._n to_o add_v the_o second_o and_o three_o number_n together_o and_o from_o the_o sum_n of_o they_o to_o subtract_v the_o first_o number_n so_o shall_v the_o remainder_n answer_v your_o question_n demand_v as_o by_o the_o former_a work_n you_o may_v perceive_v where_o the_o logarithm_n of_o the_o side_n basilius_n 2,602059_o which_o be_v the_o second_o term_n be_v add_v to_o the_o sine_fw-la of_o the_o angle_n cba_n 9,698970_o which_o be_v the_o three_o term_n and_o from_o the_o sum_n of_o they_o namely_o from_o 12,301029_o be_v substract_v 9,937531_o the_o sine_fw-la of_o the_o angle_n bca_n which_o be_v the_o first_o number_n and_o there_o remain_v 2,363498_o which_o be_v the_o logarithm_n of_o 231_o almost_o and_o that_o be_v the_o length_n of_o the_o side_n require_v in_o foot_n the_o same_o manner_n of_o work_n be_v to_o be_v observe_v in_o all_o the_o case_n follow_v as_o will_v plain_o appear_v how_o to_o perform_v the_o same_o work_n by_o the_o line_n of_o sines_n and_o number_n these_o kind_n of_o proportion_n be_v wrought_v more_o easy_o by_o help_n of_o the_o line_n of_o artificial_a number_n sin_n and_o tangent_n on_o the_o index_n of_o your_o table_n and_o exact_a enough_o for_o any_o ordinary_a occasion_n for_o the_o proportion_n be_v as_o the_o sine_fw-la of_o the_o angle_n bca_n 60_o degree_n be_v to_o the_o logarithm_n of_o the_o side_n basilius_n 400_o foot_n so_o be_v the_o sine_fw-la of_o the_o angle_n cba_n 30_o degree_n to_o the_o logarithm_n of_o the_o side_n ac_fw-la 231_o foot_n ferè_fw-la therefore_o if_o you_o set_v one_o foot_n of_o your_o compass_n at_o 60_o degree_n in_o the_o line_n of_o sines_n and_o extend_v the_o other_o foot_n to_o 400_o in_o the_o line_n of_o number_n the_o same_o extent_n of_o the_o compass_n will_v reach_v from_o the_o sine_fw-la of_o 30_o degree_n to_o 231_o in_o the_o line_n of_o number_n which_o be_v the_o length_n of_o the_o side_n ac_fw-la which_o be_v require_v or_o otherwise_o extend_v the_o compass_n from_o the_o sine_fw-la of_o 30_o degree_n to_o the_o sine_fw-la of_o 60_o degree_n in_o the_o line_n of_o sines_n the_o same_o extent_n will_v also_o reach_v from_o 400_o in_o the_o line_n of_o number_n to_o 231_o as_o before_o and_o thus_o by_o these_o artificial_a line_n the_o work_n be_v much_o abreviate_v there_o be_v need_n neither_o of_o pen_n ink_n paper_n or_o table_n but_o only_o of_o your_o compass_n case_n ii_o the_o base_a and_o the_o angle_n at_o the_o base_a be_v give_v to_o find_v the_o hypothenusall_n in_o the_o same_o triangle_n abc_n let_v there_o be_v give_v as_o before_o the_o base_a ab_fw-la 400_o foot_n and_o the_o angle_n abc_n 30_o degree_n and_o let_v it_o be_v require_v to_o find_v the_o hypothenusall_n bc._n now_o because_o the_o angle_n cba_n be_v give_v the_o other_o angle_n bca_n be_v also_o give_v and_o the_o proportion_n be_v as_o the_o sine_fw-la of_o the_o angle_n bca_n 60_o degree_n 9,937531_o be_v to_o the_o logarithm_n of_o the_o side_n basilius_n 400_o foot_n 2,602059_o so_o be_v the_o sine_fw-la of_o the_o angle_n cab_n 90_o degree_n 10,000000_o the_o sum_n of_o the_o second_o and_o three_o number_n add_v 12,602959_o the_o first_o number_n substract_v from_o the_o sum_n 9,937531_o to_o the_o logarithm_n of_o the_o side_n bc_n which_o be_v 2,665428_o the_o absolute_a number_n answer_v to_o this_o logarithm_n be_v 462_o and_o so_o many_o foot_n be_v the_o hypothenusall_n bc._n by_o the_o line_n of_o sines_n and_o number_n the_o manner_n of_o work_n be_v altogether_o the_o same_o with_o the_o former_a for_o the_o proportion_n be_v as_o the_o sine_fw-la of_o the_o angle_n bca_n 60_o degree_n be_v to_o the_o length_n of_o the_o side_n basilius_n 400_o foot_n so_o be_v the_o sine_fw-la of_o the_o angle_n cab_n 90_o degree_n to_o the_o length_n of_o the_o side_n cb_n 462._o extend_v the_o compass_n from_o the_o sine_fw-la of_o 60_o degree_n to_o 400_o in_o the_o line_n of_o number_n the_o same_o extent_n will_v reach_v from_o the_o sine_fw-la of_o 90_o degree_n to_o 462_o in_o the_o line_n of_o number_n and_o that_o be_v the_o length_n of_o the_o side_n bc._n or_o you_o may_v extend_v the_o compass_n from_o the_o sine_fw-la of_o 60_o degree_n to_o the_o sine_fw-la of_o 90_o degree_n the_o same_o extent_n will_v also_o reach_v from_o 400_o to_o 462_o as_o before_o case_n iii_o the_o hypothenusall_n and_o angle_v at_o the_o base_a be_v give_v to_o find_v the_o perpendicular_a in_o the_o same_o triangle_n let_v there_o be_v give_v the_o hypothenusall_n bc_n 462_o foot_n and_o the_o angle_n at_o the_o base_a cba_n 30_o degree_n to_o find_v the_o perpendicular_a ca._n the_o number_n answer_v to_o this_o logarithme_n be_v 231_o ferè_fw-la and_o that_o be_v the_o length_n of_o the_o side_n ca_n in_o foot_n here_o the_o work_n be_v somewhat_o abreviate_v for_o the_o angle_n cab_n be_v a_o right_a angle_n and_o be_v the_o first_o term_n when_o the_o second_o and_o three_o term_n be_v add_v together_o the_o first_o be_v easy_o substract_v from_o it_o by_o cancel_v the_o figure_n next_o your_o left_a hand_n as_o you_o see_v in_o the_o example_n and_o so_o the_o rest_n of_o that_o number_n be_v the_o logarithme_n of_o the_o number_n seek_v by_o the_o line_n of_o sines_n and_o number_n extend_v the_o compass_n from_o the_o sine_fw-la of_o 90_o degree_n to_o 462_o the_o same_o extent_n will_v reach_v from_o the_o sine_fw-la of_o 30_o degree_n to_o 231._o or_o extend_v the_o compass_n from_o the_o sine_fw-la of_o 90_o degree_n to_o the_o sine_fw-la of_o 30_o degree_n the_o same_o extent_n will_v reach_v from_o 462_o to_o 231_o and_o that_o be_v the_o side_n ca._n case_n iv_o the_o hypothenusall_n and_o angle_v at_o the_o base_a be_v give_v to_o find_v the_o base_a let_v there_o be_v give_v in_o the_o former_a triangle_n the_o hypothenusal_a bc_n and_o the_o angle_n at_o the_o base_a cba_n and_o by_o consequence_n the_o angle_n bca_n the_o compliment_n of_o the_o other_o to_o 90_o then_o to_o find_v basilius_n the_o proportion_n be_v as_o the_o sine_fw-la of_o the_o angle_n cab_n 90_o degree_n 10,000000_o be_v to_o the_o hypothenusall_n bc_n 462_o 2,664642_o so_o be_v the_o sine_fw-la of_o the_o angle_n bca_n 60_o degree_n 9,937531_o to_o the_o logarithm_n of_o the_o base_a basilius_n 12,602173_o the_o near_a number_n answer_v to_o 2,602173_o be_v the_o logarithm_n of_o 400_o and_o so_o long_o be_v the_o base_a basilius_n by_o the_o line_n of_o sines_n and_o number_n as_o before_o extend_v the_o compass_n from_o the_o sine_fw-la of_o 90_o to_o 462_o the_o same_o extent_n will_v reach_v from_o the_o sine_fw-la

and_o that_o it_o be_v require_v to_o find_v the_o area_n or_o content_n thereof_o in_o perch_n which_o to_o effect_v you_o must_v multiply_v the_o length_n by_o the_o breadth_n as_o be_v teach_v in_o the_o last_o chapter_n therefore_o the_o length_n be_v 16_o unite_v 2_o prime_n and_o the_o breadth_n 1_o unite_v 3_o prime_n 2_o second_o these_o two_o number_n multiply_v together_o shall_v produce_v the_o area_n set_a your_o number_n down_o as_o you_o be_v teach_v in_o the_o 5_o chapter_n of_o the_o 2_o book_n or_o as_o you_o see_v they_o stand_v in_o this_o example_n with_o a_o prick_n over_o the_o head_n of_o every_o fraction_n 162̇_n 13̇2̇_n 324_o 486_o 162_o 21384_o under_o these_o number_n draw_v a_o line_n and_o multiply_v they_o together_o in_o all_o respect_n as_o if_o they_o be_v whole_a number_n and_o then_o the_o work_n will_v stand_v thus_o the_o product_n of_o your_o multiplication_n be_v 21384._o now_o because_o in_o your_o two_o number_n viz._n your_o multiplicand_a and_o your_o multiplyer_n there_o be_v three_o fraction_n namely_o one_o in_o your_o multiplicand_a and_o two_o in_o your_o multiplyer_n you_o must_v therefore_o with_o a_o dash_n of_o your_o pen_n cut_v off_o the_o three_o last_o figure_n of_o the_o product_n towards_o your_o right_a hand_n and_o then_o will_v your_o product_n stand_v thus_o 21_o 384_o the_o three_o last_o figure_n whereof_o be_v the_o numerator_n of_o a_o fraction_n who_o denominator_fw-la be_v 1000_o and_o the_o other_o two_o figure_n towards_o your_o left_a hand_n be_v integer_n of_o your_o multiplication_n so_o that_o the_o sum_n of_o this_o multiplication_n be_v 21_o perch_n and_o 384_o 1000_o part_n of_o a_o perch_n which_o be_v something_o more_o than_o a_o three_o part_n of_o a_o perch_n but_o to_o express_v the_o exact_a quantity_n of_o these_o fraction_n in_o a_o business_n of_o this_o nature_n be_v superfluous_a only_o observe_v this_o one_o rule_n for_o all_o namely_o that_o if_o the_o figure_n cut_v off_o come_v near_o to_o a_o unite_v that_o be_v when_o the_o figure_n cut_v off_o be_v near_o as_o much_o as_o those_o underneath_o they_o or_o the_o first_o figure_n cut_v off_o be_v either_o 7_o 8_o or_o 9_o you_o may_v then_o increase_v your_o whole_a number_n by_o a_o unite_v and_o not_o at_o all_o regard_n the_o fraction_n but_o for_o your_o further_a practice_n take_v another_o example_n which_o let_v be_v a_o piece_n of_o land_n contain_v in_o breadth_n 5_o unite_v 6_o prime_n 3_o second_o and_o in_o length_n 15_o unite_v 4_o prime_n and_o 2_o second_o which_o place_n as_o before_o now_o if_o you_o multiply_v these_o number_n one_o by_o another_o as_o if_o they_o be_v whole_a number_n then_o will_v they_o stand_v as_o in_o the_o margin_n the_o product_n be_v 868146_o 154̇2̇_n 56̇3̇_n 4626_o 9252_o 7710_o 868146_o from_o whence_o take_v the_o four_o last_o figure_n because_o there_o be_v four_o fraction_n in_o your_o two_o number_n there_o remain_v 86_o perch_n and_o 9146_o 10000_o part_n of_o a_o perch_n now_o because_o 8146_o be_v near_o to_o 10000_o i_o add_v 1_o to_o 86_o make_v it_o 87_o perch_n dis-regarding_a the_o excess_n as_o immaterial_a in_o like_a manner_n suppose_v the_o perpendicular_a of_o a_o triangle_n shall_v contain_v 1_o unite_v 3_o prime_n 2_o second_o and_o half_o the_o length_n of_o the_o base_a shall_v contain_v 16_o unite_v 2_o prime_n these_o number_n be_v place_v as_o those_o before_o and_o multiply_v one_o by_o another_o will_v produce_v this_o product_n 21384_o from_o whence_o cut_v off_o the_o three_o last_o figure_n because_o there_o be_v three_o fraction_n in_o your_o number_n multiply_v and_o there_o will_v remain_v 21_o perch_n and_o 384_o 1000_o part_n of_o a_o perch_n which_o be_v but_o of_o small_a value_n you_o may_v reject_v chap._n xli_o how_o to_o reduce_v any_o number_n of_o perch_n into_o rood_n and_o acre_n or_o any_o number_n of_o acre_n and_o rood_n into_o perch_n by_o a_o statute_n make_v the_o 33._o of_o edw._n 1._o a_o acre_n of_o ground_n ought_v to_o contain_v 160_o square_a perch_n and_o every_o rood_n of_o land_n 40_o square_a perch_n and_o every_o perch_n be_v to_o contain_v 16_o foot_n and_o a_o half_a now_o if_o any_o number_n of_o perch_n be_v give_v to_o be_v turn_v into_o acre_n you_o must_v divide_v the_o number_n give_v by_o 160_o the_o number_n of_o perch_n contain_v in_o one_o acre_n and_o the_o quotient_n shall_v show_v you_o how_o many_o acre_n be_v contain_v in_o that_o number_n of_o perch_n and_o if_o any_o thing_n remain_v if_o it_o be_v under_o 40_o it_o be_v perch_n but_o if_o the_o remainder_n exceed_v 40_o than_o you_o must_v divide_v it_o by_o 40_o the_o number_n of_o perch_n contain_v in_o one_o rood_n and_o the_o quotient_n shall_v be_v rood_n and_o the_o remainder_n perch_v example_n let_v 5267_o perch_n be_v give_v to_o be_v reduce_v into_o acre_n first_o divide_v 5267_o by_o 160_o and_o the_o quotient_n will_v be_v 32_o and_o 147_o remain_v which_o divide_v by_o 40_o the_o quotient_n will_v be_v 3_o and_o 27_o remain_v so_o that_o the_o whole_a amount_v to_o 32_o acre_n 3_o rood_n and_o 27_o perch_n again_o let_v 5496_o perch_n be_v give_v to_o be_v reduce_v into_o acre_n first_o divide_v 5496_o by_o 160_o the_o quotient_n will_v be_v 34_o and_o 56_o remain_v which_o 56_o be_v divide_v by_o 40_o the_o quotient_n will_v be_v 1_o and_o 16_o remain_v so_o that_o the_o whole_a will_v be_v 34_o acre_n 1_o rood_n and_o 16_o perch_n to_o reduce_v acre_n into_o perch_n this_o be_v but_o the_o converse_n of_o the_o former_a for_o as_o before_o to_o reduce_v perch_n into_o acre_n you_o divide_v by_o 160_o you_o must_v now_o to_o reduce_v acre_n into_o perch_n multiply_v by_o 160._o example_n let_v 32_o acre_n 3_o rood_n and_o 27_o perch_n be_v give_v to_o be_v reduce_v into_o perch_n first_o multiply_v the_o 32_o acre_n by_o 160_o and_o the_o product_n will_v be_v 5120_o then_o multiply_v the_o 3_o rood_n by_o 40_o the_o product_n be_v 120_o these_o two_o product_n and_o the_o 27_o perch_n be_v add_v together_o the_o sum_n will_v be_v 5267_o 5120_o 120_o 27_o 5267_o and_o so_o many_o perch_n be_v contain_v in_o the_o foresay_a number_n of_o acre_n rood_n and_o perch_n and_o thus_o much_o concern_v the_o use_n of_o master_n rathborn_v chain_n chap._n xlii_o how_o to_o cast_v up_o the_o content_a of_o any_o piece_n of_o land_n in_o acre_n rood_n and_o perch_n by_o master_n gunter'_v chain_n in_o measure_v by_o master_n gunter_n chain_v you_o be_v in_o your_o account_n only_o to_o take_v notice_n of_o chain_n and_o link_n as_o be_v before_o intimate_v in_o the_o description_n thereof_o cap._n 5._o lib._n 2._o suppose_v then_o that_o the_o figure_n b_o be_v a_o piece_n of_o land_n lie_v in_o a_o long_a square_n and_o that_o be_v measure_v by_o master_n gunter'_v chain_n shall_v contain_v in_o length_n 9_o chain_n 50_o link_n and_o in_o breadth_n 6_o chain_n 25_o link_n set_a your_o number_n down_o as_o before_o be_v teach_v and_o as_o here_o you_o see_v draw_v a_o line_n under_o they_o then_o multiply_v they_o together_o you_o shall_v find_v the_o product_n to_o be_v 593750_o 9,50_o 6,25_o 4750_o 1900_o 5700_o 593750_o from_o which_o product_v you_o must_v always_o cut_v off_o the_o five_o last_o figure_n towards_o the_o right_a hand_n with_o a_o dash_n of_o your_o pen_n then_o will_v the_o product_n stand_v thus_o 593750_o so_o be_v the_o 5_o towards_o the_o left_a hand_n complete_a acre_n and_o the_o 93750_o hundred_o thousand_o part_n of_o a_o acre_n which_o to_o reduce_v into_o rood_n and_o perch_n be_v easy_a by_o help_n of_o this_o table_n for_o if_o you_o look_v for_o 90000_o under_o the_o title_n link_n which_o be_v the_o first_o figure_n with_o cipher_n add_v link_n r._n p._n 100000_o 4_o 0_o 90000_o 3_o 24_o 80000_o 3_o 8_o 70000_o 2_o 32_o 60000_o 2_o 16_o 50000_o 2_o 0_o 40000_o 1_o 24_o 30000_o 1_o 8_o 20000_o 0_o 32_o 10000_o 0_o 16_o 9375_o 0_o 15_o 8750_o 0_o 14_o 8125_o 0_o 13_o 7500_o 0_o 12_o 6875_o 0_o 11_o 6250_o 0_o 10_o 5625_o 0_o 9_o 5000_o 0_o 8_o 4375_o 0_o 7_o 3750_o 0_o 6_o 3125_o 0_o 5_o 2500_o 0_o 4_o 1875_o 0_o 3_o 1250_o 0_o 2_o 624_o 0_o 1_o you_o shall_v find_v against_o it_o 3_o rood_n 24_o perch_n then_o look_v for_o 3750_o and_o against_o it_o you_o shall_v find_v 6_o perch_n all_o which_o be_v add_v together_o as_o here_o you_o see_v the_o area_n or_o content_n of_o the_o whole_a piece_n will_v be_v 5_o acre_n 3_o rood_n and_o 30_o perch_n a._n r._n p._n 5_o 00_o 00_o  _fw-fr 3_o 24_o  _fw-fr  _fw-fr 6_o 5_o 03_o 30_o another_o example_n suppose_v the_o base_a of_o a_o triangle_n

be_v likewise_o divide_v according_a to_o those_o division_n on_o the_o edge_n of_o the_o instrument_n to_o this_o short_a sight_n be_v add_v a_o plummet_n to_o set_v the_o instrument_n horizontall_a and_o this_o short_a ruler_n with_o the_o division_n thereof_o and_o those_o on_o the_o edge_n of_o the_o instrument_n serve_v for_o take_v of_o altitude_n chief_o and_o for_o the_o reduce_n of_o hypothenusall_n to_o horizontal_a line_n chap._n iu._n a_o description_n of_o the_o plain_a table_n how_o it_o have_v be_v former_o make_v and_o how_o it_o be_v now_o alter_v it_o be_v the_o most_o absolute_a instrument_n of_o any_o other_o for_o a_o surveyor_n to_o use_v in_o that_o it_o perform_v whatsoever_o may_v be_v do_v either_o by_o the_o theodolite_a circumferentor_n or_o any_o other_o instrument_n with_o the_o same_o ease_n and_o exactness_n the_o table_n itself_o be_v a_o parallelogram_n contain_v in_o length_n about_o fourteen_o inch_n and_o a_o half_a and_o in_o breadth_n eleven_o inch_n it_o be_v compose_v of_o three_o several_a board_n which_o may_v be_v take_v asunder_o for_o ease_n and_o convenience_n in_o carriage_n for_o the_o bind_n of_o these_o three_o board_n fast_o when_o the_o table_n be_v set_v together_o there_o belong_v a_o joint_v frame_n so_o contrive_v that_o it_o may_v be_v take_v off_o and_o put_v on_o the_o table_n at_o pleasure_n this_o frame_n also_o be_v to_o fasten_v a_o sheet_n of_o paper_n upon_o the_o table_n when_o you_o be_v to_o describe_v the_o plot_n of_o any_o field_n or_o other_o enclosure_n by_o the_o table_n this_o frame_n must_v have_v upon_o it_o near_o the_o inward_a edge_n scale_n of_o equal_a part_n on_o both_o side_n for_o the_o speedy_a draw_v of_o parallel_a line_n upon_o the_o paper_n and_o also_o for_o the_o shift_a of_o your_o paper_n when_o one_o sheet_n will_v not_o hold_v your_o whole_a work_n unto_o this_o table_n belong_v a_o ruler_n or_o index_n contain_v in_o length_n about_o sixteen_o inch_n or_o more_o it_o be_v full_a as_o long_o as_o from_o angle_n to_o angle_v of_o your_o table_n it_o ought_v to_o be_v about_o two_o inch_n in_o breadth_n and_o one_o three_o part_n of_o a_o inch_n in_o thickness_n upon_o this_o ruler_n or_o index_n two_o sight_n must_v be_v place_v one_o whereof_z be_v double_a in_o length_n to_o the_o other_o the_o long_o contain_v in_o length_n about_o twelve_o inch_n the_o other_o six_o on_o the_o top_n of_o this_o short_a sight_n be_v place_v a_o brass_n pin_n and_o also_o a_o thread_n and_o plummet_n to_o place_v your_o instrument_n horizontall_a through_o the_o long_a sight_n must_v be_v make_v a_o slit_n almost_o the_o whole_a length_n thereof_o these_o two_o sight_n thus_o prepare_v be_v to_o be_v perpendicular_o erect_v upon_o the_o index_n in_o such_o sort_n that_o the_o wire_n on_o the_o top_n of_o the_o short_a sight_n and_o the_o slit_n on_o the_o long_a sight_n stand_v precise_o over_o the_o fiducial_a edge_n of_o the_o index_n the_o space_n or_o distance_n of_o these_o two_o sight_n one_o from_o the_o other_o be_v to_o be_v equal_a to_o the_o divide_a part_n of_o the_o long_a sight_n upon_o the_o long_a sight_n be_v to_o be_v place_v a_o vane_n of_o brass_n to_o be_v move_v up_o and_o down_o at_o pleasure_n through_o which_o a_o small_a hole_n be_v to_o be_v make_v answerable_a to_o the_o slit_n in_o the_o same_o sight_n and_o the_o edge_n of_o the_o vane_n by_o these_o sight_n thus_o place_v on_o the_o index_n there_o be_v project_v the_o geometrical_a square_n who_o side_n be_v the_o divide_a part_n of_o the_o long_a sight_n or_o the_o distance_n between_o the_o two_o sight_n in_o the_o middle_n of_o the_o long_a sight_n through_o the_o whole_a breadth_n thereof_o there_o be_v draw_v a_o line_n call_v the_o line_n of_o level_n divide_v the_o side_n of_o the_o project_v square_a into_o two_o equal_a part_n also_o the_o same_o side_n be_v on_o this_o sight_n divide_v into_o a_o hundred_o equal_a part_n which_o be_v number_v upward_o and_o downward_o from_o the_o line_n of_o level_n by_o five_o and_o ten_o to_o fifty_o on_o either_o side_n which_o division_n be_v call_v the_o scale_n there_o be_v also_o on_o the_o same_o sight_n another_o sort_n of_o division_n represent_v the_o hypothenusall_n line_n of_o the_o same_o square_n as_o they_o increase_v by_o unite_v and_o be_v likewise_o number_v upward_o and_o downward_o from_o the_o line_n of_o level_n from_o one_o to_o twelve_o by_o 1_o 2_o 3_o etc._n etc._n sometime_o signify_v 101_o 102_o 103_o etc._n etc._n these_o division_n show_v how_o much_o any_o hypothenusall_n or_o slope_n line_v draw_v over_o the_o same_o square_n exceed_v the_o direct_a horizontall_a line_n be_v the_o side_n of_o the_o same_o square_n on_o this_o sight_n there_o be_v a_o three_o sort_n of_o division_n represent_v the_o degree_n of_o a_o quadrant_n or_o as_o many_o as_o the_o same_o sight_n be_v capaple_n to_o receive_v which_o be_v about_o 25_o number_v from_o the_o line_n of_o level_n upward_a and_o downward_o by_o five_o and_o ten_o to_o 25_o which_o division_n be_v call_v the_o quadrant_n unto_o this_o instrument_n as_o unto_o all_o other_o belong_v these_o necessary_a part_n as_o the_o socket_n the_o staff_n the_o box_n and_o needle_n etc._n etc._n ¶_o according_a to_o this_o description_n have_v plain_a table_n former_o be_v make_v but_o if_o unto_o it_o be_v add_v these_o additional_a part_n and_o alteration_n which_o make_v it_o less_o cumbersome_a than_o before_o it_o will_v be_v the_o most_o exact_a absolute_a and_o universal_a instrument_n for_o a_o surveyour_fw-mi that_o be_v ever_o yet_o invent_v first_o let_v the_o frame_n be_v so_o fit_v to_o the_o table_n that_o it_o may_v go_v on_o easy_o either_o side_n be_v upward_o so_o that_o as_o one_o side_n be_v divide_v into_o equal_a part_n as_o in_o the_o description_n the_o other_o side_n may_v have_v project_v upon_o it_o the_o 180_o degree_n of_o a_o semicircle_n from_o a_o centre_n note_v in_o the_o superficies_n of_o the_o table_n which_o degree_n must_v be_v number_v from_o the_o left_a hand_n towards_o the_o right_n when_o the_o centre_n be_v next_o to_o you_o by_o five_o and_o ten_o to_o 180_o and_o then_o begin_v again_o set_v 190_o and_o so_o successive_o to_o 360._o these_o degree_n thus_o insert_v be_v of_o excellent_a use_n in_o wet_a or_o stormy_a weather_n when_o you_o can_v keep_v a_o sheet_n of_o paper_n upon_o your_o table_n either_o in_o respect_n of_o rain_n or_o wind_n also_o these_o degree_n will_v make_v the_o plain_a table_n to_o be_v a_o absolute_a theodolite_n so_o that_o you_o may_v work_v with_o these_o degree_n as_o if_o they_o be_v the_o degree_n of_o a_o theodolite_a second_o upon_o the_o index_n or_o ruler_n before_o speak_v of_o instead_o of_o the_o sight_n before_o describe_v let_v there_o be_v place_v two_o sight_n both_o of_o one_o length_n and_o back-sighted_n one_o have_v a_o slit_n below_o and_o a_o thread_n above_o and_o the_o other_o a_o slit_n above_o and_o a_o thread_n below_o serve_v to_o look_v backward_o and_o forward_o at_o pleasure_n without_o turn_v about_o the_o instrument_n when_o the_o needle_n be_v at_o quiet_a the_o expedition_n that_o these_o back-sight_n will_v make_v will_v best_o appear_v by_o practice_n for_o use_v these_o you_o shall_v need_v in_o go_v about_o a_o field_n to_o plant_v your_o instrument_n but_o at_o every_o second_o angle_n three_o for_o the_o ready_a take_n of_o height_n and_o the_o reduce_n of_o hypothenusall_n to_o horizontall_a line_n instead_o of_o the_o division_n on_o the_o sight_n before_o mention_v let_v there_o be_v project_v a_o tangent_fw-la line_n along_o the_o side_n of_o the_o ruler_n who_o division_n must_v touch_v the_o very_a edge_n thereof_o so_o that_o a_o label_n or_o ruler_n of_o box_n or_o brass_n which_o be_v hang_v on_o a_o pin_n stick_v in_o the_o side_n of_o one_o of_o the_o back-sight_n and_o have_v another_o small_a sight_n at_o the_o end_n thereof_o may_v move_v just_o along_o the_o side_n of_o the_o index_n then_o the_o instrument_n stand_v horizontall_a if_o you_o look_v through_o this_o small_a sight_n and_o by_o the_o pin_n on_o which_o the_o label_n hang_v move_v the_o label_n too_o and_o fro_o till_o you_o espy_v the_o mark_n you_o look_v at_o then_o will_v the_o label_n show_v you_o what_o degree_n of_o the_o tangent_fw-la line_n be_v cut_v thereby_o this_o one_o line_n thus_o project_v upon_o the_o side_n of_o the_o ruler_n perform_v all_o the_o use_n of_o those_o divide_a sight_n and_o be_v far_o better_a and_o less_o cumbersome_a than_o they_o or_o a_o quadrant_n such_o as_o i_o former_o describe_v in_o planometria_n because_o the_o degree_n be_v large_a this_o line_n of_o tangent_n be_v project_v on_o the_o index_n

column_n as_o you_o see_v bear_v do_v also_o if_o you_o measure_v any_o length_n in_o the_o field_n with_o your_o chain_n as_o suppose_v some_o distance_n measure_v to_o contain_v 16_o chain_n 87_o link_n the_o 16_o chain_n must_v be_v set_v in_o the_o three_o column_n and_o the_o 87_o link_n in_o the_o four_o column_n under_o their_o respective_a title_n as_o you_o see_v here_o do_v chap._n ix_o of_o instrument_n for_o reduce_v of_o plot_n for_o the_o reduce_n of_o plot_n from_o one_o form_n to_o another_o there_o have_v be_v divers_a instrument_n invent_v by_o divers_a man_n one_o that_o perform_v that_o work_n very_o well_o be_v a_o ruler_n have_v fix_v at_o each_o end_n thereof_o a_o semicircle_n divide_v into_o degree_n and_o another_o ruler_n have_v two_o semicircle_n to_o move_v thereon_o upon_o the_o centre_n of_o all_o these_o semicircle_n there_o be_v thin_a ruler_n of_o brass_n to_o move_v from_o angle_n to_o angle_v of_o your_o plot_n but_o the_o manner_n of_o work_v by_o these_o semicircle_n be_v very_o tedious_a i_o pass_v it_o over_o another_o way_n be_v by_o have_v certain_a proportional_a scale_n upon_o one_o and_o the_o same_o ruler_n as_o master_n rathborn_a describe_v but_o this_o i_o shall_v also_o wave_v and_o likewise_o that_o which_o i_o describe_v in_o planometria_n as_o be_v too_o particular_a the_o best_a and_o most_o absolute_a be_v a_o parallelogram_n the_o make_v whereof_o be_v well_o know_v to_o the_o instrument-maker_n the_o end_n of_o the_o second_o book_n the_o complete_a surveyor_z the_o three_o book_n the_o argument_n this_o three_o book_n be_v as_o it_o be_v a_o key_n to_o those_o that_o follow_v the_o subject_n whereof_o be_v trigonometry_n now_o forasmuch_o as_o the_o whole_a art_n of_o measure_v height_n and_o distance_n and_o plot_v and_o protract_v of_o land_n and_o all_o other_o lineal_a and_o superficial_a dimension_n be_v ground_v upon_o the_o resolution_n of_o plain_a triangle_n i_o hold_v it_o convenient_a before_o i_o come_v to_o the_o practice_n of_o survey_v or_o to_o show_v the_o use_n of_o any_o instrument_n in_o take_v of_o height_n and_o distance_n to_o say_v something_o concern_v plain_a triangle_n at_o least_o so_o much_o as_o be_v necessary_a for_o a_o surveyor_n to_o know_v though_o that_o subject_n be_v already_o handle_v by_o divers_a able_a mathematician_n already_o who_o work_n be_v extant_a viz._n pitiscus_n snelius_n the_o lord_n nepair_v master_n gunter_n master_n norwood_n master_n gellibrand_n etc._n etc._n now_o because_o the_o ready_a way_n of_o resolve_v triangle_n be_v by_o sign_n tangent_n and_o logarithme_n i_o have_v therefore_o add_v brief_a table_n for_o that_o purpose_n viz._n a_o table_n of_o sines_n to_o every_o ten_o minute_n of_o the_o quadrant_n and_o a_o table_n of_o logarithme_n from_o 1_o to_o 1000_o which_o will_v be_v large_a enough_o for_o ordinary_a use_n in_o survey_v but_o those_o who_o desire_v to_o make_v a_o further_a scrutiny_n into_o trigonometry_n may_v peruse_v the_o forementioned_a author_n in_o this_o book_n i_o have_v only_o insist_v upon_o such_o case_n as_o may_v come_v in_o use_n in_o survey_v and_o therefore_o have_v omit_v divers_a yet_o those_o which_o i_o have_v insist_v on_o be_v perform_v both_o by_o the_o table_n follow_v in_o this_o book_n and_o also_o by_o the_o line_n of_o artificial_a number_n sin_n and_o tangent_n before_o speak_v of_o in_o the_o description_n of_o the_o index_n of_o the_o plain_a table_n in_o the_o last_o book_n trigonometrie_n chap._n i._n the_o elplanation_n and_o use_v of_o the_o table_n of_o sines_n before_o i_o come_v to_o the_o mensuration_n of_o triangle_n it_o will_v be_v necessary_a to_o explain_v and_o show_v the_o use_n of_o the_o table_n of_o sines_n and_o logarithm_n follow_v by_o which_o table_n the_o side_n or_o angle_n of_o right_n line_v triangle_n may_v be_v ready_o and_o exact_o measure_v so_o that_o in_o any_o plain_a triangle_n if_o there_o be_v any_o three_o part_n thereof_o give_v a_o four_o may_v be_v easy_o discover_v the_o table_n of_o sines_n consist_v of_o two_o row_v or_o column_n the_o first_o whereof_o show_v the_o degree_n and_o minute_n of_o the_o quadrant_n have_v over_o the_o head_n thereof_o these_o two_o letter_n d._n m_o stand_v for_o degree_n and_o minute_n in_o the_o second_o column_n be_v the_o artificial_a sin_n answer_v to_o every_o degree_n and_o 10_o minute_n of_o the_o quadrant_n have_v the_o word_n sine_fw-la over_o the_o head_n thereof_o the_o use_n of_o this_o table_n will_v appear_v by_o the_o follow_a proposition_n prop._n i._n any_o degree_n and_o minute_n be_v give_v to_o find_v the_o sine_fw-la thereof_o first_o seek_v the_o degree_n and_o minute_n in_o the_o first_o column_n of_o the_o table_n under_o d._n m._n and_o right_n against_o it_o in_o the_o next_o column_n towards_o the_o right_a hand_n under_o the_o word_n sine_fw-la you_o shall_v have_v your_o desire_n example_n i._o suppose_v it_o be_v require_v to_o find_v the_o sine_fw-la of_o 20_o degree_n first_o you_o must_v seek_v 20_o in_o the_o first_o column_n of_o the_o table_n under_o d._n m._n and_o right_n against_o 20_o in_o the_o second_o column_n under_o the_o word_n sine_fw-la you_o shall_v find_v 9,534052_o which_o be_v the_o sine_fw-la of_o 20_o degree_n in_o the_o same_o manner_n you_o shall_v find_v the_o sine_fw-la of_o 50_o degree_n to_o be_v 9,884254_o and_o the_o sine_fw-la of_o 76_o degree_n to_o be_v 9,986904_o example_n ii_o let_v it_o be_v require_v to_o find_v the_o sine_fw-la of_o 40_o degree_n 30_o minute_n first_o you_o must_v find_v 40_o 30_o which_o be_v 40_o degree_n 30_o minute_n in_o the_o first_o column_n under_o the_o letter_n d._n m._n and_o against_o it_o you_o shall_v find_v 9,812544_o which_o be_v the_o sine_fw-la of_o 40_o degree_n 30_o minute_n also_o the_o sine_fw-la of_o 62_o degree_n 10_o minute_n will_v be_v find_v to_o be_v 9,946604_o and_o the_o sine_fw-la of_o 86_o degree_n 30_o minute_n will_v be_v 9,999189_o and_o in_o this_o manner_n may_v you_o find_v the_o artificial_a sine_fw-la of_o any_o number_n of_o degree_n and_o minute_n express_v in_o the_o table_n prop._n ii_o any_o sine_fw-la be_v give_v to_o find_v the_o number_n of_o degree_n and_o minute_n thereunto_o belong_v example_n let_v 9,866470_o be_v a_o sine_fw-la give_v and_o let_v it_o be_v require_v to_o find_v the_o degree_n and_o minute_n of_o the_o quadrant_n answer_v thereunto_o first_o seek_v in_o the_o second_o column_n among_o the_o sin_n for_o 9,866470_o and_o against_o it_o on_o the_o left_a hand_n you_o shall_v find_v 47_o degree_n 20_o minute_n which_o be_v the_o arch_n of_o the_o quadrant_n answer_v thereunto_o again_o let_v it_o be_v require_v to_o find_v the_o arch_n answer_v to_o this_o sine_fw-la 9,821264_o have_v find_v 9,821264_o in_o the_o second_o column_n under_o the_o word_n sine_fw-la against_o it_o you_o shall_v find_v 41_o degree_n 30_o min._n and_o that_o be_v the_o arch_n of_o degree_n answer_v thereunto_o ¶_o but_o in_o case_n you_o have_v a_o number_n give_v which_o you_o can_v exact_o find_v in_o the_o table_n you_o must_v then_o instead_o thereof_o take_v the_o near_a in_o the_o table_n as_o if_o your_o number_n give_v be_v 9,675859_o if_o you_o look_v in_o the_o table_n for_o this_o number_n it_o can_v be_v find_v there_o but_o the_o near_a thereunto_o be_v 9,676328_o which_o be_v the_o sine_fw-la of_o 28_o degree_n 20_o minute_n which_o you_o must_v take_v instead_o thereof_o the_o table_n of_o sines_n d._n m._n sines_n 0_o 0_o 0,000000_o  _fw-fr 10_o 7,463726_o  _fw-fr 20_o 7,764754_o  _fw-fr 30_o 7,940842_o  _fw-fr 40_o 8,065776_o  _fw-fr 50_o 8,162681_o 1_o 0_o 8,241855_o  _fw-fr 10_o 8,308794_o  _fw-fr 20_o 8,366777_o  _fw-fr 30_o 8,417919_o  _fw-fr 40_o 8,463665_o  _fw-fr 50_o 8,505045_o 2_o 0_o 8,542819_o  _fw-fr 10_o 8,577566_o  _fw-fr 20_o 8,609734_o  _fw-fr 30_o 8,639679_o  _fw-fr 40_o 8,667689_o  _fw-fr 50_o 8,693998_o 3_o 0_o 8,718800_o  _fw-fr 10_o 8,742259_o  _fw-fr 20_o 8,764511_o  _fw-fr 30_o 8,785675_o  _fw-fr 40_o 8,805852_o  _fw-fr 50_o 8,825130_o 4_o 0_o 8,843584_o  _fw-fr 10_o 8,861283_o  _fw-fr 20_o 8,878285_o  _fw-fr 30_o 8,894643_o  _fw-fr 40_o 8,910404_o  _fw-fr 50_o 8,925609_o 5_o 0_o 8,940296_o  _fw-fr 10_o 8,954499_o  _fw-fr 20_o 8,968249_o  _fw-fr 30_o 8,981573_o  _fw-fr 40_o 8,994497_o  _fw-fr 50_o 9,007044_o 6_o 0_o 9,019235_o  _fw-fr 10_o 9,031089_o  _fw-fr 20_o 9,042625_o  _fw-fr 30_o 9,053859_o  _fw-fr 40_o 9,064806_o  _fw-fr 50_o 9,075480_o 7_o 0_o 9,085894_o  _fw-fr 10_o 9,096062_o  _fw-fr 20_o 9,105992_o  _fw-fr 30_o 9,115698_o  _fw-fr 40_o 9,125187_o  _fw-fr 50_o 9,134470_o 8_o 0_o 9,143555_o  _fw-fr 10_o 9,152451_o  _fw-fr 20_o 9,161164_o  _fw-fr 30_o 9,169702_o  _fw-fr 40_o 9,178072_o  _fw-fr 50_o 9,186280_o 9_o 0_o 9,194332_o  _fw-fr 10_o 9,202234_o  _fw-fr 20_o 9,209992_o  _fw-fr 30_o

9,985280_o  _fw-fr 20_o 9,985613_o  _fw-fr 30_o 9,985942_o  _fw-fr 40_o 9,986266_o  _fw-fr 50_o 9,986587_o 76_o 0_o 9,986904_o  _fw-fr 10_o 9,987217_o  _fw-fr 20_o 9,987526_o  _fw-fr 30_o 9,987832_o  _fw-fr 40_o 9,988133_o  _fw-fr 50_o 9,988430_o 77_o 0_o 9,988724_o  _fw-fr 10_o 9,989014_o  _fw-fr 20_o 9,989299_o  _fw-fr 30_o 9,989581_o  _fw-fr 40_o 9,989860_o  _fw-fr 50_o 9,990134_o 78_o 0_o 9,990404_o  _fw-fr 10_o 9,990671_o  _fw-fr 20_o 9,990934_o  _fw-fr 30_o 9,991193_o  _fw-fr 40_o 9,991448_o  _fw-fr 50_o 9,991699_o 79_o 0_o 9,991947_o  _fw-fr 10_o 9,992190_o  _fw-fr 20_o 9,992430_o  _fw-fr 30_o 9,992666_o  _fw-fr 40_o 9,992898_o  _fw-fr 50_o 9,993127_o 80_o 0_o 9,993351_o  _fw-fr 10_o 9,993572_o  _fw-fr 20_o 9,993789_o  _fw-fr 30_o 9,994003_o  _fw-fr 40_o 9,994212_o  _fw-fr 50_o 9,994418_o 81_o 0_o 9,994620_o  _fw-fr 10_o 9,994818_o  _fw-fr 20_o 9,995012_o  _fw-fr 30_o 9,995203_o  _fw-fr 40_o 9,995390_o  _fw-fr 50_o 9,995573_o 82_o 0_o 9,995753_o  _fw-fr 10_o 9,995928_o  _fw-fr 20_o 9,996100_o  _fw-fr 30_o 9,996269_o  _fw-fr 40_o 9,996433_o  _fw-fr 50_o 9,996594_o 83_o 0_o 9,996751_o  _fw-fr 10_o 9,996904_o  _fw-fr 20_o 9,997053_o  _fw-fr 30_o 9,997199_o  _fw-fr 40_o 9,997341_o  _fw-fr 50_o 9,999998_o 84_o 0_o 9,997614_o  _fw-fr 10_o 9,997732_o  _fw-fr 20_o 9,997873_o  _fw-fr 30_o 9,997996_o  _fw-fr 40_o 9,998106_o  _fw-fr 50_o 9,998232_o 85_o 0_o 9,998344_o  _fw-fr 10_o 9,998453_o  _fw-fr 20_o 9,998558_o  _fw-fr 30_o 9,998659_o  _fw-fr 40_o 9,998757_o  _fw-fr 50_o 9,998851_o 86_o 0_o 9,998941_o  _fw-fr 10_o 9,999927_o  _fw-fr 20_o 9,999110_o  _fw-fr 30_o 9,999189_o  _fw-fr 40_o 9,999265_o  _fw-fr 50_o 9,999336_o 87_o 0_o 9,999404_o  _fw-fr 10_o 9,999469_o  _fw-fr 20_o 9,999529_o  _fw-fr 30_o 9,999586_o  _fw-fr 40_o 9,999640_o  _fw-fr 50_o 9,999689_o 88_o 0_o 9,999735_o  _fw-fr 10_o 9,999778_o  _fw-fr 20_o 9,999816_o  _fw-fr 30_o 9,999851_o  _fw-fr 40_o 9,999882_o  _fw-fr 50_o 9,999910_o 89_o 0_o 9,999934_o  _fw-fr 10_o 9,999954_o  _fw-fr 20_o 9,999971_o  _fw-fr 30_o 9,999983_o  _fw-fr 40_o 9,999993_o  _fw-fr 50_o 9,999998_o chap._n ii_o the_o explanation_n and_o use_v of_o the_o table_n of_o logarithm_n the_o table_n of_o logarithm_n follow_v consist_v of_o two_o row_v or_o column_n the_o first_o of_o which_o namely_o that_o towards_o the_o left_a hand_n have_v the_o word_n num._n at_o the_o head_n thereof_o contain_v all_o absolute_a number_n increase_v by_o a_o unite_v in_o continual_a proportion_n from_o 1_o to_o 1000_o in_o the_o other_o column_n be_v place_v the_o logarithm_n of_o those_o absolute_a number_n which_o logarithm_n be_v number_n so_o fit_v to_o proportional_a number_n that_o themselves_o retain_v equal_a difference_n by_o this_o table_n the_o logarithme_n of_o any_o absolute_a number_n under_o 1000_o maybe_o ready_o find_v or_o if_o any_o logarithme_n who_o absolute_a number_n exceed_v not_o 1000_o be_v give_v this_o table_n will_v plain_o discover_v what_o absolute_a number_n answer_v thereunto_o the_o use_n of_o this_o table_n will_v appear_v by_o the_o proposition_n follow_v prop._n i._n a_o number_n be_v give_v to_o find_v the_o logarithme_n thereof_o let_v it_o be_v require_v to_o find_v the_o logarithm_n of_o 223_o first_o seek_v 223_o in_o the_o first_o column_n of_o the_o table_n under_o the_o word_n num._n and_o against_o it_o in_o the_o second_o column_n you_o shall_v find_v 2,348305_o which_o be_v the_o logarithm_n thereof_o also_o let_v it_o be_v require_v to_o find_v the_o logarithm_n of_o 629_o if_o you_o seek_v 629_o in_o the_o first_o column_n against_o it_o in_o the_o second_o you_o shall_v find_v 2,798651_o which_o be_v the_o logarithm_n thereof_o prop._n ii_o a_o logarithme_n be_v give_v how_o to_o find_v the_o absolute_a number_n thereunto_o belong_v let_v 2,731589_o be_v a_o logarithm_n give_v who_o absolute_a number_n you_o require_v you_o must_v first_o seek_v this_o number_n in_o the_o second_o column_n of_o the_o table_n under_o the_o word_n logar_n against_o which_o you_o shall_v find_v 539_o which_o be_v the_o absolute_a number_n answer_v to_o that_o logarithme_n ¶_o but_o in_o this_o table_n as_o in_o the_o table_n of_o sines_n if_o you_o can_v find_v the_o direct_a logarithm_n which_o you_o look_v for_o in_o the_o table_n you_o must_v take_v the_o near_a thereunto_o the_o table_n of_o logarithm_n num._n logarith_n 1_o 0,000000_o 2_o 0,301030_o 3_o 0,477121_o 4_o 0,602060_o 5_o 0,698970_o 6_o 0,778151_o 7_o 0,845098_o 8_o 0,903090_o 9_o 0,954242_o 10_o 1,000000_o 11_o 1,041393_o 12_o 1,079181_o 13_o 1,113943_o 14_o 1,146128_o 15_o 1,176091_o 16_o 1,204120_o 17_o 1,230449_o 18_o 1,255272_o 19_o 1,278754_o 20_o 1,301030_o 21_o 1,322219_o 22_o 1,342423_o 23_o 1,361728_o 24_o 1,380211_o 25_o 1,397940_o 26_o 1,414973_o 27_o 1,431364_o 28_o 1,447158_o 29_o 1,462398_o 30_o 1,477121_o 31_o 1,491362_o 32_o 1,505150_o 33_o 1,518514_o 34_o 1,531479_o 35_o 1,544068_o 36_o 1,556302_o 37_o 1,568202_o 38_o 1,579783_o 39_o 1,591065_o 40_o 1,602060_o 41_o 1,612784_o 42_o 1,623249_o 43_o 1,633468_o 44_o 1,643453_o 45_o 1,653212_o 46_o 1,662758_o 47_o 1,672098_o 48_o 1,681241_o 49_o 1,690196_o 50_o 1,698970_o 51_o 1,707570_o 52_o 1,716003_o 53_o 1,724276_o 54_o 1,732394_o 55_o 1,740363_o 56_o 1,748188_o 57_o 1,755875_o 58_o 1,763428_o 59_o 1,770852_o 60_o 1,778151_o 61_o 1,785330_o 62_o 1,792392_o 63_o 1,799341_o 64_o 1,806180_o 65_o 1,812913_o 66_o 1,819544_o 67_o 1,826075_o 68_o 1,832509_o 69_o 1,838849_o 70_o 1,845098_o 71_o 1,851258_o 72_o 1,857332_o 73_o 1,863323_o 74_o 1,869232_o 75_o 1,875061_o 76_o 1,880814_o 77_o 1,886491_o 78_o 1,892095_o 79_o 1,897627_o 80_o 1,903089_o 81_o 1,908485_o 82_o 1,913814_o 83_o 1,919078_o 84_o 1,924279_o 85_o 1,929419_o 86_o 1,934498_o 87_o 1,939519_o 88_o 1,944483_o 89_o 1,949390_o 90_o 1,954242_o 91_o 1,959041_o 92_o 1,963788_o 93_o 1,968483_o 94_o 1,973128_o 95_o 1,977724_o 96_o 1,982271_o 97_o 1,986772_o 98_o 1,991226_o 99_o 1,995635_o 100_o 2,000000_o 101_o 2,004321_o 102_o 2,008600_o 103_o 2,012837_o 104_o 2,017033_o 105_o 2,021189_o 106_o 2,025306_o 107_o 2,029384_o 108_o 2,033424_o 109_o 2,037426_o 110_o 2,041393_o 111_o 2,045323_o 112_o 2,049218_o 113_o 2,053078_o 114_o 2,056905_o 115_o 2,060698_o 116_o 2,064458_o 117_o 2,068186_o 118_o 2,071882_o 119_o 2,075547_o 120_o 2,079181_o 121_o 2,082785_o 122_o 2,086359_o 123_o 2,089905_o 124_o 2,093422_o 125_o 2,096910_o 126_o 2,100371_o 127_o 2,103804_o 128_o 2,107209_o 129_o 2,110589_o 130_o 2,113943_o 131_o 2,117271_o 132_o 2,120574_o 133_o 2,123852_o 134_o 2,127105_o 135_o 2,130334_o 136_o 2,133539_o 137_o 2,136721_o 138_o 2,139879_o 139_o 2,143015_o 140_o 2,146128_o 141_o 2,149219_o 142_o 2,152288_o 143_o 2,155336_o 144_o 2,158362_o 145_o 2,161368_o 146_o 2,164353_o 147_o 2,167317_o 148_o 2,170262_o 149_o 2,173186_o 150_o 2,176091_o 151_o 2,178977_o 152_o 2,181844_o 153_o 2,184691_o 154_o 2,187521_o 155_o 2,190332_o 156_o 2,193125_o 157_o 2,195899_o 158_o 2,198657_o 159_o 2,201397_o 160_o 2,204119_o 161_o 2,206826_o 162_o 2,209515_o 163_o 2,212187_o 164_o 2,214844_o 165_o 2,217484_o 166_o 2,220108_o 167_o 2,222716_o 168_o 2,225309_o 169_o 2,227887_o 170_o 2,230449_o 171_o 2,232996_o 172_o 2,235528_o 173_o 2,238046_o 174_o 2,240549_o 175_o 2,243038_o 176_o 2,245513_o 177_o 2,247973_o 178_o 2,250420_o 179_o 2,252853_o 180_o 2,255273_o 181_o 2,257679_o 182_o 2,260071_o 183_o 2,262451_o 184_o 2,264818_o 185_o 2,267172_o 186_o 2,269513_o 187_o 2,271842_o 188_o 2,274158_o 189_o 2,276462_o 190_o 2,278754_o 191_o 2,281033_o 192_o 2,283301_o 193_o 2,285557_o 194_o 2,287802_o 195_o 2,290035_o 196_o 2,292256_o 197_o 2,294466_o 198_o 2,296665_o 199_o 2,298853_o 200_o 2,301029_o 201_o 2,303196_o 202_o 2,305351_o 203_o 2,307496_o 204_o 2,309630_o 205_o 2,311754_o 206_o 2,313867_o 207_o 2,315970_o 208_o 2,318063_o 209_o 2,320146_o 210_o 2,322219_o 211_o 2,324282_o 212_o 2,326336_o 213_o 2,328379_o 214_o 2,330414_o 215_o 2,332438_o 216_o 2,334454_o 217_o 2,336459_o 218_o 2,338456_o 219_o 2,340444_o 220_o 2,342227_o 221_o 2,344392_o 222_o 2,346353_o 223_o 2,348305_o 224_o 2,350248_o 225_o 2,352183_o 226_o 2,354108_o 227_o 2,356026_o 228_o 2,357935_o 229_o 2,359835_o 230_o 2,361728_o 231_o 2,363612_o 232_o 2,365488_o 233_o 2,367356_o 234_o 2,369216_o 235_o 2,371068_o 236_o 2,372912_o 237_o 2,374748_o 238_o 2,376577_o 239_o 2,378398_o 240_o 2,380211_o 241_o 2,382017_o 242_o 2,383815_o 243_o 2,385606_o 244_o 2,387389_o 245_o 2,389166_o 246_o 2,390935_o 247_o 2,392697_o 248_o 2,394452_o 249_o 2,396199_o 250_o 2,397940_o 251_o 2,399674_o 252_o 2,401401_o 253_o 2,403121_o 254_o 2,404834_o 255_o 2,406540_o 256_o 2,408239_o 257_o 2,409933_o 258_o 2,411619_o 259_o 2,413299_o 260_o 2,414973_o 261_o 2,416641_o 262_o 2,418301_o 263_o 2,419956_o 264_o 2,421604_o 265_o 2,423246_o 266_o 2,424882_o 267_o 2,426511_o 268_o 2,428135_o 269_o 2,429752_o 270_o 2,431364_o 271_o 2,432969_o 272_o 2,434569_o 273_o 2,436163_o 274_o 2,437751_o 275_o 2,439333_o 276_o 2,440909_o 277_o 2,442479_o 278_o 2,444045_o 279_o 2,445604_o 280_o 2,447158_o 281_o 2,448706_o 282_o 2,450249_o 283_o 2,451786_o 284_o 2,453318_o 285_o 2,454845_o 286_o 2,456366_o 287_o 2,459889_o 288_o 2,459392_o 289_o 2,460898_o 290_o 2,462398_o 291_o 2,463893_o 292_o 2,465383_o 293_o 2,466868_o 294_o 2,468347_o 295_o 2,469822_o 296_o 2,471292_o

will_v reach_v from_o 12_o chain_n 50_o link_n to_o 11_o acre_n 37_o part_n 4._o have_v the_o base_a and_o perpendicular_a of_o a_o triangle_n give_v in_o perch_n to_o find_v the_o content_a in_o acre_n as_o 320_o to_o the_o perpendicular_a so_o the_o length_n of_o the_o base_a to_o the_o content_a in_o acre_n so_o in_o the_o triangle_n labernele_n if_o the_o line_n bd_o be_v take_v for_o the_o perpendicular_a of_o the_o triangle_n than_o the_o length_n of_o the_o base_a be_v 50_o perch_n and_o the_o perpendicular_a 36_o 2_o 5_o the_o area_n will_v be_v find_v to_o be_v 5_o acre_n 22_o part_n which_o be_v 2_o rood_n 30_o perch_n then_o if_o you_o extend_v the_o compass_n from_o 320_o to_o 36_o 2_o 5_o the_o perpendicular_a the_o same_o extent_n will_v reach_v from_o 50_o the_o length_n of_o the_o base_a to_o 5_o acre_n 22_o part_n 5._o the_o base_a and_o perpendicular_a of_o a_o triangle_n be_v give_v in_o chain_n to_o find_v the_o content_a in_o acre_n as_o 20_o to_o the_o perpendicular_a so_o the_o base_a to_o the_o content_a in_o acre_n so_o in_o the_o former_a figure_n if_o ab_fw-la 12_o chain_n 50_o link_n be_v take_v for_o the_o base_a and_o bd_o 4_o chain_n 55_o link_n for_o the_o perpendicular_a of_o the_o triangle_n alb_n the_o area_n by_o this_o proportion_n will_v be_v find_v to_o be_v 5_o acre_n 68_o part_n that_o be_v 5_o acre_n 2_o rood_n 30_o perch_n therefore_o if_o you_o extend_v the_o compass_n from_o 20_o to_o 4_o chain_n 55_o link_n the_o same_o extent_n will_v reach_v from_o 12_o chain_n 50_o link_n to_o 5_o acre_n 68_o part_n which_o be_v 2_o rood_n 30_o perch_n 6._o the_o area_n or_o superficial_a content_n of_o any_o piece_n of_o land_n be_v give_v according_a to_o one_o kind_n of_o perch_n to_o find_v the_o content_a thereof_o accoad_v to_o cnother_n kind_n of_o perch_n as_o the_o length_n of_o the_o second_o perch_n to_o the_o length_n of_o the_o first_o perch_n so_o the_o content_a in_o acre_n to_o a_o four_o number_n and_o that_o four_o number_n to_o the_o content_a in_o acre_n require_v suppose_v the_o figure_n b_o be_v a_o piece_n of_o land_n which_o be_v plot_v and_o cast_v up_o by_o a_o chain_n of_o 16_o foot_n and_o a_o half_a to_o the_o perch_n shall_v contain_v 8_o acre_n and_o that_o it_o be_v require_v to_o find_v how_o much_o the_o same_o piece_n will_v contain_v if_o it_o be_v measure_v with_o a_o chain_n of_o 18_o foot_n to_o the_o perch_n if_o you_o work_v according_a to_o the_o proportion_n here_o deliver_v you_o shall_v find_v it_o to_o contain_v 6_o acre_n 72_o part_n for_o if_o you_o extend_v the_o compass_n from_o 18_o to_o 16½_n that_o extent_n will_v reach_v from_o 8_o to_o 7.30_o and_o from_o 7.30_o to_o 6.72_o and_o so_o many_o acre_n will_v the_o figure_n b_o contain_z if_o it_o be_v measure_v by_o a_o perch_n of_o 18_o foot_n 7._o have_v the_o length_n of_o the_o furlong_n to_o find_v the_o breadth_n of_o the_o acre_n as_o the_o length_n of_o the_o furlong_n in_o perch_n to_o 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