Selected quad for the lemma: land_n

Word A	Word B	Word C	Word D	Occurrence	Frequency Band	MI	MI Band	Prominent
land_n	line_n	page_n	read_v	2,533	5	12.1252	5	true

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

what_o ibid._n circle_n of_o position_n what_o ibid._n of_o term_n in_o astronomy_n what_o a_o sphere_n be_v page_z 50_o of_o ten_o point_n and_o ten_o circle_n of_o the_o sphere_n page_n 51_o the_o 2_o pole_n of_o the_o world_n or_o equinoctial_a ibid._n the_o 2_o pole_n of_o the_o zodiac_n page_n 52_o the_o 2_o equinoctial-point_n ibid._n the_o 2_o solstitial-point_n page_n 53_o the_o zenith_n and_o nadir_n page_n 54_o the_o horizon_n the_o meridian_n the_o equinoctial_a the_o zodiac_n the_o 2_o colour_n the_o 2_o tropic_n and_o 2_o polar_a circle_n page_n 55_o 56_o 58_o hour_n azimuth_n almicanter_n declination_n latitude_n longitude_n right_a ascention_n page_n 59_o 60_o oblique_a ascension_n difference_n of_o ascension_n amplitude_n circle_n and_o angle_n of_o position_n what_o they_o be_v page_z 61_o 62_o to_o rectify_v the_o triangule_a quadrant_n page_n 63_o to_o observe_v or_o find_v the_o sun_n altitude_n page_n 64_o to_o try_v if_o any_o thing_n be_v level_a or_o upright_o page_n 66_o to_o find_v what_o angle_n the_o sector_n stand_v at_o at_o any_o open_n or_o to_o set_v the_o sector_n to_o any_o angle_n require_v page_n 67_o 68_o the_o day_n of_o the_o month_n give_v to_o find_v the_o sun_n declination_n true_a place_n right_a ascention_n or_o rise_v and_o set_v by_o inspection_n only_o page_n 71_o to_o find_v the_o sun_n amplitude_n and_o difference_n of_o ascension_n and_o oblique_a ascension_n page_n 73_o to_o find_v the_o hour_n of_o the_o day_n page_n 74_o to_o find_v the_o sun_n azimuth_n page_n 75_o the_o use_n of_o the_o line_n of_o number_n and_o the_o use_n of_o the_o line_n of_o line_n both_o on_o the_o triangule_a quadrant_n and_o sector_n one_o after_o another_o in_o most_o example_n to_o multiply_v one_o number_n by_o another_o page_z 78_o a_o help_n to_o multiply_v true_o page_n 85_o a_o crabbed_a question_n of_o multiplication_n page_n 90_o precept_n of_o reduction_n page_n 94_o to_o divide_v one_o number_n by_o another_o page_z 95_o a_o caution_n in_o division_n page_n 97_o to_o 2_o line_n or_o number_n give_v to_o find_v a_o 3d_o in_o geometrical_a proportion_n page_n 98_o any_o one_o side_n of_o a_o figure_n be_v give_v to_o find_v all_o the_o rest_n or_o to_o find_v a_o proportion_n between_o two_o or_o more_o line_n or_o number_n page_n 99_o to_o lay_v down_o any_o number_n of_o part_n on_o a_o line_n to_o any_o radius_fw-la page_n 100_o to_o divide_v a_o line_n into_o any_o number_n of_o part_n page_z 102_o to_o find_v a_o geometrical_a mean_a proportion_n between_o two_o line_n or_o number_n three_o way_n page_n 104_o to_o make_v a_o square_a equal_a to_o a_o oblong_a page_n 107_o or_o to_o a_o triangle_n ibid._n to_o find_v a_o proportion_n between_o unlike_a superficies_n page_n 108_o to_o make_v one_o superficies_n like_o another_o superficies_n and_o equal_a to_o a_o three_o page_z 109_o the_o diameter_n and_o content_a of_o a_o circle_n be_v give_v to_o find_v the_o content_a of_o another_o circle_n by_o have_v his_o diameter_n page_n 111_o to_o find_v the_o square-root_n of_o a_o number_n ibid._n to_o find_v the_o cube-root_n of_o a_o number_n page_n 113_o to_o find_v two_o mean_v proportional_n between_o two_o line_n or_o number_n give_v page_n 116_o the_o diameter_n and_o content_a of_o a_o globe_n be_v give_v to_o find_v the_o content_a of_o another_o globe_n who_o diameter_n also_o be_v give_v page_n 118_o the_o proportion_n between_o the_o weight_n and_o magnitude_n of_o metal_n page_n 119_o the_o weight_n and_o magnitude_n of_o a_o body_n of_o one_o kind_n of_o metal_n be_v give_v to_o find_v the_o magnitude_n of_o a_o body_n of_o another_o metal_n of_o equal_a weight_n page_n 121_o the_o magnitude_n of_o two_o body_n of_o several_a metal_n have_v the_o weight_n of_o one_o give_v to_o find_v the_o weight_n of_o the_o other_o page_z 122_o the_o weight_n and_o magnitude_n of_o one_o body_n of_o any_o metal_n be_v give_v and_o another_o body_n like_o unto_o the_o former_a be_v to_o be_v make_v of_o any_o other_o metal_n to_o find_v the_o diameter_n or_o magnitude_n of_o it_o page_z 123_o to_o divide_v a_o line_n or_o number_n by_o extreme_a and_o mean_a proportion_n page_n 124_o three_o line_n or_o number_n give_v to_o find_v a_o four_o in_o geometrical_a proportion_n page_n 128_o the_o nature_n &_o reason_n of_o the_o golden_a rule_n page_n 129_o the_o rule_n of_o three_o inverse_v with_o several_a caution_n and_o example_n page_n 132_o the_o double_a and_o compound_v rule_n of_o three_o direct_v and_o reverse_v with_o example_n page_n 139_o the_o rule_n of_o fellowship_n with_o example_n page_n 148_o the_o use_n of_o the_o line_n of_o number_n in_o superficial_a measure_n and_o the_o part_n on_o the_o rule_n page_n 154_o the_o breadth_n give_v in_o foot-measure_n to_o find_v the_o length_n of_o one_o foot_n page_n 156_o the_o breadth_n give_v in_o inch_n to_o find_v how_o much_o in_o length_n make_v one_o foot_n ibid._n the_o breadth_n give_v to_o find_v how_o much_o be_v in_o a_o foot-long_a page_n 157_o have_v the_o length_n and_o breadth_n give_v in_o foot-measure_n to_o find_v the_o content_a in_o foot_n ibid._n have_v the_o breadth_n give_v in_o inch_n and_o length_n in_o foot_n to_o find_v the_o content_a in_o foot_n page_n 158_o have_v the_o length_n &_o breadth_n give_v in_o inches_n to_o find_v the_o content_n in_o superficial_a inch_n page_n 160_o have_v the_o length_n &_o breadth_n give_v in_o inches_n to_o find_v the_o content_a in_o foot_n superficial_a page_n 161_o the_o length_n and_o breadth_n of_o a_o oblong_o give_v to_o find_v the_o side_n of_o a_o square_n equal_a to_o it_o page_z 163_o the_o diameter_n of_o a_o circle_n give_v to_o find_v the_o circumference_n square_a equal_a square_n inscribe_v and_o content_a page_n 164_o the_o content_a of_o a_o circle_n give_v to_o find_v the_o diameter_n or_o circumference_n page_n 166_o 167_o certain_a rule_n to_o measure_v several_a figure_n page_n 108_o a_o segment_n of_o a_o circle_n give_v to_o find_v the_o true_a diameter_n and_o area_n thereof_o page_n 169_o a_o table_n to_o divide_v the_o line_n of_o segment_n page_n 170_o the_o use_n of_o it_o in_o part_n page_z 171_o the_o measure_n of_o triangle_n tapeziaes_n romboide_n poligon_n and_o oval_n page_n 172_o 173_o a_o table_n of_o the_o proportion_n between_o the_o side_n and_o area_n of_o regular_a poligon_n and_o the_o use_n thereof_o for_o any_o other_o page_z 174_o 175_o to_o make_v a_o oval_a equal_a to_o a_o circle_n and_o the_o contrary_a two_o way_n page_n 175_o 176_o the_o length_n and_o breadth_n of_o any_o oblong_a superficies_n give_v in_o foot_n to_o find_v the_o content_a in_o yard_n page_n 177_o the_o length_n and_o breadth_n give_v in_o foot_n and_o part_n to_o find_v the_o content_a in_o rod_n page_z 179_o the_o near_a way_n to_o measure_v a_o party_n wall_n page_z 180_o to_o multiply_v and_o reduce_v any_o length_n breadth_n or_o thickness_n of_o a_o wall_n to_o one_o brick_n and_o a_o half_a at_o one_o operation_n page_n 183_o example_n at_o six_o several_a thickness_n page_n 184_o to_o find_v the_o gage-point_n for_o this_o reduce_n page_n 185_o at_o one_o open_v of_o the_o compass_n to_o find_v how_o many_o rod_n quarter_n and_o foot_n in_o any_o sum_n under_o 10_o rod_n page_n 186_o the_o usual_a and_o ready_a equal_a way_n to_o measure_v tile_v and_o chimney_n page_n 187_o of_o plaisterers-work_n or_o painters-work_n page_n 188_o of_o particular_n of_o work_n usual_o mention_v in_o a_o carpenters-bill_n with_o caution_n page_n 189_o 190_o at_o any_o breadth_n of_o a_o house_n to_o find_v the_o rafter_n and_o hip-rafter_n length_n and_o angle_n by_o the_o line_n of_o number_n ready_o page_n 191_o the_o price_n of_o one_o foot_n be_v give_v to_o find_v the_o price_n of_o a_o rod_n or_o a_o square_a of_o brickwork_n or_o floore_v by_o inspection_n page_n 193_o at_o any_o length_n of_o a_o land_n give_v to_o find_v how_o much_o in_o breadth_n make_v one_o acre_n page_n 194_o a_o useful_a table_n in_o measure_v land_n and_o the_o use_n thereof_o in_o several_a example_n page_n 196_o 197_o the_o length_n and_o breadth_n give_v in_o perch_n to_o find_v the_o content_a in_o square_n perch_n pole_n or_o rod_n page_n 200_o the_o length_n and_o breadth_n in_o perch_n to_o find_v the_o content_a in_o acre_n ibid._n the_o length_n and_o breadth_n give_v in_o chain_n to_o find_v the_o content_n in_o square_a acre_n quarter_n and_o link_n page_n 201_o to_o measure_v a_o triangle_n at_o once_o without_o half_v the_o base_a or_o area_n ibid._n to_o reduce_v statute-measure_n or_o acre_n to_o customary_a and_o the_o contrary_a ibid._n a_o table_n to_o make_v scale_n to_o do_v it_o by_o measure_v or_o inspection_n with_o example_n page_n

store_v as_o first_o with_o gunter_n sector_n and_o his_o quadrant_n eke_o also_o by_o foster_n alter_v after_o and_o with_o gunter_n rule_n and_o bow_n the_o traviss_n quadrant_n and_o cross-stave_n the_o davis_n quadrant_n too_o their_o use_n all_o to_o more_o than_o half_n this_o instrument_n will_v do_v with_o this_o advantage_n more_o beside_o of_o lie_v in_o less_o room_n a_o fault_n that_o saylor_n must_v abide_v when_o they_o on_o shipboard_n come_v in_o the_o next_o place_n the_o rudiment_n of_o geometry_n exact_a the_o right_a sines_n &_o ●heir_a compliment_n and_o how_o they_o lie_v compact_v within_o a_o circle_n and_o the_o rest_n the_o chord_n and_o verse_v sin_n about_o a_o circle_n be_v express_v the_o tangent_n secant_v line_n and_o how_o their_o use_n and_o place_n be_v see_v in_o round_a and_o plain_a triangle_n which_o serve_v to_o deck_v urania_n queen_n as_o jewel_n bead_n and_o spangle_n in_o the_o next_o place_n arithmetic_n by_o number_n and_o by_o line_n in_o 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 ornament_n that_o on_o sun-dials_n be_v which_o be_v describe_v to_o the_o intent_n sol_n travel_n for_o to_o see_v as_o first_o his_o place_n and_o altitude_n his_o azimuth_n likewise_o his_o right_a ascension_n amplitude_n and_o how_o soon_o he_o do_v rise_v the_o same_o also_o to_o moon_n and_o star_n be_v moderate_o apply_v whereby_o the_o time_n of_o night_n appear_v the_o moon_n age_n and_o the_o tide_n then_o height_n and_o distance_n to_o take_v at_o one_o or_o at_o two_o station_n perform_v by_o those_o way_n that_o make_v the_o few_o operation_n and_o also_o ready_a rule_n to_o use_v the_o logarithmal_a table_n which_o may_v prove_v ready_a hint_n to_o these_o that_o be_v in_o those_o most_o able_a and_o many_o other_o useful_a thing_n be_v scatter_v here_o and_o there_o which_o former_o by_o i_o have_v be_v account_v very_o rare_a and_o last_o for_o the_o sailor_n sake_n i_o have_v spend_v many_o a_o hour_n the_o trianguler-quadrant_n for_o to_o make_v more_o useful_a than_o 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

there_o be_v 30_o degree_n in_o one_o sign_n five_o next_o above_o this_o be_v a_o calendar_n of_o month_n and_o day_n every_o single_a day_n be_v express_v and_o three_o or_o more_o letter_n of_o the_o name_n of_o every_o month_n be_v set_v in_o the_o month_n and_o also_o at_o the_o begin_n of_o each_o month_n and_o every_o 10_o day_n note_v with_o a_o prick_n on_o the_o top_n of_o the_o line_n represent_v it_o as_o be_v usual_a in_o such_o work_n six_o next_o over_o the_o month_n be_v the_o line_n to_o find_v the_o hour_n and_o azimuth_n in_o a_o particular_a latitude_n put_v always_o on_o small_a instrument_n and_o very_o rare_o on_o large_a triangular_a quadrant_n for_o sea_n observation_n the_o low_a margin_n whereof_o and_o next_o the_o month_n be_v number_v from_o the_o end_n towards_o the_o head_n with_o 10_o 20_o 30_o 40_o 50_o 60_o 70_o 80_o 90_o 100_o 110_o 120_o 130_o near_o the_o head_n centre_n for_o the_o semi-diurnal_a ark_n of_o the_o sun_n azimuth_n and_o in_o the_o margin_n next_o above_o this_o with_o 4_o 5_o 6_o 7_o 8_o 9_o 10_o 11_o 12_o near_o the_o end_n for_o the_o morning_n hour_n then_o the_o other_o way_n viz._n towards_o the_o head_n on_o the_o other-side_n the_o hour_n line_n with_o 1_o 2_o 3_o 4_o 5_o 6_o 7_o 8_o for_o the_o afternoon_n hour_n seven_o on_o the_o same_o quadrantal-side_n and_o moveable-leg_n on_o the_o spare_a place_n beyond_o the_o month_n towards_o the_o end_n be_v set_v a_o almanac_n and_o the_o name_n of_o 12_o or_o more_o star_n to_o find_v the_o hour_n of_o the_o night_n which_o 12_o star_n be_v note_v with_o 1_o 2_o 3_o 4_o 5_o 6_o 7_o 8_o 9_o 10_o 11_o 12._o among_o the_o degree_n in_o small_a figure_n as_o in_o the_o figure_n eight_o next_o of_o all_o to_o the_o inside_n be_v the_o line_n of_o natural_a verse_v sin_n draw_v to_o the_o centre_n with_o his_o correspondent_a line_n on_o the_o other_o or_o head-leg_n express_v sometime_o in_o a_o prick_a line_n for_o want_v of_o room_n nine_o on_o the_o head-leg_n and_o next_o to_o the_o verse_v sines_n last_o mention_v be_v first_o the_o line_n of_o equal_a part_n or_o line_n of_o line_n and_o on_o the_o same_o common_a line_n wherein_o be_v the_o centre_n be_v the_o line_n of_o natural_a sin_n who_o length_n be_v equal_a to_o the_o measure_n from_o the_o centre_n at_o c_o too_o 600_o on_o the_o moveable-leg_n so_o that_o the_o line_n of_o degree_n be_v a_o tangent_fw-la and_o the_o measure_n from_o c_o to_o any_o tangent_fw-la a_o secant_fw-la to_o the_o same_o radius_fw-la of_o the_o natural_a line_n of_o sines_n and_o line_n also_o beyond_o the_o centre_n c_o on_o the_o same_o common_a middle_a line_n be_v another_o small_a line_n of_o natural_a sin_n who_o length_n be_v equal_a to_o the_o measure_n from_o c_o to_o 60_o on_o the_o loose-piece_n then_o if_o you_o count_v from_o the_o centre_n pin_n at_o 60_o on_o the_o loose-piece_n towards_o the_o end_n of_o the_o movable-leg_n they_o shall_v be_v tangent_n to_o the_o same_o radius_fw-la and_o the_o measure_n from_o the_o centre_n c_o to_o those_o tangent_n shall_v be_v secant_v to_o the_o same_o radius_fw-la which_o may_v be_v well_o to_o be_v order_v to_o a_o three_o or_o four_o part_n of_o the_o former_a from_o the_o centre_n downward_o these_o two_o line_n of_o sines_n be_v best_a figure_v with_o their_o sin_n and_o cosines_n the_o other_o way_n with_o a_o small_a figure_n and_o the_o line_n of_o line_n from_o the_o centre_n downward_o from_o 1_o to_o 10_o where_o 90_o be_v which_o line_n of_o sines_n may_v be_v call_v a_o general_a scale_n for_o all_o latitude_n ten_o next_o to_o this_o towards_o the_o outer-edge_n be_v another_o line_n of_o natural_a sin_n fit_v to_o the_o particular_a line_n of_o hour_n and_o azimuth_n for_o one_o particular_a latitude_n note_v pert._n scale_n of_o altitude_n or_o sines_n eleven_o next_o to_o this_o be_v the_o line_n of_o 29_o ½_o for_o so_o many_o day_n of_o the_o moon_n be_v age_n in_o short_a rule_n of_o the_o whole_a length_n but_o in_o long_a not_o be_v easy_o know_v by_o the_o single_a stroke_n and_o figure_n annex_v to_o those_o stroke_n twelve_o next_o the_o outer-edge_n be_v a_o line_n of_o 24_o hour_n 360_o degree_n or_o 12_o sign_n or_o in_o most_o rule_n inch_n also_o use_v together_o with_o the_o former_a line_n of_o 29_o ½_o and_o as_o a_o theory_n of_o the_o sun_n and_o moon_n and_o ready_a way_n of_o find_v the_o hour_n by_o the_o moon_n or_o fix_a star_n thirteen_o to_o this_o instrument_n also_o belong_v a_o thread_n and_o plummet_n and_o sight_n as_o to_o other_o quadrant_n and_o a_o pair_n of_o compass_n as_o to_o other_o sector_n a_o staff_n and_o ball_n socket_n also_o if_o you_o will_v be_v curious_a and_o accurate_a and_o for_o large_a instrument_n for_o sea_n a_o square_a and_o a_o index_n which_o make_v it_o a_o perfect_a sinical_a quadrant_n and_o two_o slide_a sight_n also_o which_o make_v it_o a_o fore_n and_o back-staff_n and_o bow_n as_o will_v appear_v more_o at_o large_a afterward_o some_o use_v of_o the_o triangule_a quadrant_n for_o land_n and_o sea_n observation_n and_o operation_n chap._n i._o numeration_n on_o the_o line_n graduate_v on_o the_o instrument_n in_o the_o first_o place_n it_o will_v not_o be_v amiss_o to_o hint_n a_o few_o word_n as_o to_o the_o read_v the_o line_n or_o more_o proper_o numeration_n on_o the_o line_n wherein_o take_v notice_n that_o all_o line_n of_o equal_a part_n or_o line_n applicable_a to_o arithmetic_n as_o the_o line_n of_o line_n the_o line_n of_o number_n the_o line_n of_o foot-measure_n and_o the_o like_a wherein_o fraction_n of_o number_n be_v requisite_a they_o be_v most_o common_o account_v in_o a_o decimal_n way_n and_o as_o much_o as_o may_v be_v the_o small_a division_n be_v number_v and_o count_v according_o but_o in_o the_o line_n of_o sines_n tangent_n secant_v and_o chord_n be_v line_n belong_v proper_o to_o a_o circle_n in_o regard_n that_o the_o sexagenary_a fraction_n be_v still_o in_o use_n the_o intermediate_v division_n be_v as_o much_o as_o may_v be_v fit_v to_o that_o way_n of_o account_n viz._n by_o whole_a degree_n where_o they_o come_v close_o together_o or_o the_o line_n of_o no_o great_a use_n and_o if_o more_o room_n be_v to_o half_a degree_n or_o 30_o minute_n and_o sometime_o to_o quarter_n of_o degree_n or_o 15_o minute_n but_o towards_o the_o begin_n of_o the_o line_n of_o natural_a sin_n or_o the_o end_n of_o the_o natural_a tangent_n and_o secant_v where_o the_o degree_n be_v large_a they_o be_v divide_v to_o every_o 10_o minute_n in_o all_o large_a rule_n as_o by_o consider_v and_o account_v you_o may_v plain_o perceive_v take_v two_o or_o three_o example_n of_o each_o kind_n 1._o first_o on_o the_o line_n of_o line_n to_o find_v the_o point_n that_o represent_v 15._o in_o the_o do_n of_o this_o or_o any_o the_o like_a you_o must_v consider_v your_o whole_a scale_n radius_fw-la or_o length_n of_o the_o line_n may_v be_v account_v as_o 1_o as_o 10_o as_o 100_o as_o 1000_o or_o as_o 10000_o and_o no_o further_o can_v be_v applicable_a to_o any_o ordinary_a instrument_n wherein_o observe_v that_o if_o the_o whole_a line_n be_v one_o than_o the_o long_a stroke_n by_o every_o figure_n do_v represent_v one_o ten_o of_o that_o integer_fw-la and_o the_o next_o short_a without_o figure_n be_v hundred_o part_n of_o that_o one_o integer_fw-la and_o a_o 1000th_o part_n be_v estimate_v in_o small_a instrument_n and_o sometime_o express_v in_o large_a but_o the_o hundred_o thousand_o part_n be_v always_o to_o be_v estimate_v by_o the_o eye_n in_o all_o instrument_n whatsoever_o 2._o but_o if_o the_o whole_a line_n of_o line_n shall_v represent_v 10_o as_o it_o usual_o do_v and_o as_o it_o be_v figure_v than_o the_o long_a stroke_n at_o every_o figure_n be_v 1_o and_o the_o next_o long_o be_v ten_o and_o the_o short_a be_v hundred_o part_n and_o the_o thousand_o part_n as_o near_o as_o can_v be_v estimate_v 3._o but_o if_o the_o whole_a line_n represent_v a_o hundred_o as_o here_o in_o our_o present_a example_n than_o the_o long_a stroke_n by_o every_o figure_n represent_v 10_o and_o every_o short_a stroke_n be_v one_o and_o the_o short_a stroke_n be_v ten_o and_o the_o hundred_o part_n as_o much_o as_o can_v be_v estimate_v 4._o but_o if_o the_o whole_a line_n shall_v represent_v a_o 1000_o than_o the_o long_a stroke_n by_o the_o figure_n shall_v represent_v a_o hundred_o and_o every_o short_a 10_o and_o every_o of_o the_o short_a stroke_n be_v one_o integer_fw-la and_o a_o 10_o part_n as_o near_o as_o can_v be_v estimate_v 5._o but_o last_o if_o the_o whole_a line_n represent_v 10000_o than_o

part_n 2_o shilling_n and_o 6_o penny_n or_o every_o 10_o part_n 2_o shilling_n because_o 8_o half-crown_n or_o 10_o two_o shilling_n be_v 20_o shilling_n example_n right_o against_o 6_o inch_n and_o a_o half_a for_o 6_o l._n ●0_n s._n on_o this_o other_o line_n i_o find_v ●_o penny_n 3_o farthing_n the_o price_n of_o one_o foot_n at_o 6_o l._n 10_o s._n per_fw-la rod_n and_o at_o 7_o farthing_n per_fw-la foot_n i_o find_v near_o 40_o shilling_n or_o 2_o pound_n per_fw-la rod._n also_o at_o 40_o shilling_n per_fw-la square_n find_v at_o 40_o on_o foot-measure_n be_v 4_o penny_n 3_o farthing_n 1_o ●_o per_fw-la foot_n find_v just_a against_o it_o on_o the_o inch_n chap._n viii_o the_o use_n of_o the_o line_n of_o number_n in_o measure_v of_o land_n by_o perch_n and_o acre_n problem_n i._o at_o any_o length_n of_o the_o land_n to_o find_v the_o breadth_n of_o the_o acre_n in_o the_o answer_v of_o this_o question_n it_o be_v not_o amiss_o but_o very_o needful_a to_o premise_v how_o many_o square_a inch_n foot_n yard_n perch_n or_o chain_n i_o mean_v a_o chain_n of_o ●6_n ●oot_v long_o be_v contain_v in_o a_o square_a acre_n of_o land_n for_o which_o purpose_n have_v recourse_n to_o the_o table_n annex_v which_o be_v draw_v with_o great_a care_n and_o exactness_n for_o that_o purpose_n by_o which_o table_n you_o may_v perceive_v that_o 6272640_o square_a inch_n be_v contain_v in_o one_o square_a acre_n and_o 100000_o or_o one_o hundred_o thousand_o square_a link_n of_o a_o 4_o pole_n chain_n make_v a_o square_a acre_n and_o 43560_o square_a foot_n make_v a_o square_a acre_n and_o 4840_o square_a yard_n make_v a_o square_a acre_n and_o 1742_o 4_o square_a pace_n make_v a_o square_a acre_n and_o 160_o square_a perch_n make_v a_o square_a acre_n and_o 10_o square_n 4_o pole_n chain_n make_v one_o acre_n as_o in_o the_o table_n you_o may_v see_v and_o 3097_o 1_o ●_o square_n ell_n make_v one_o acre_n of_o land_n statute_n measure_n the_o table_n  _fw-fr inch_n link_n foot_n yard_n pace_n perch_n chain_n acre_n mile_n inch_n 1_o 7.92_o 12_o 36_o 60_o 198_o 792_o 7920_o 63360_o link_n 62.720_o 1_o 1.515_o 4.56_o 7.575_o 25_o 100_o 1000_o 8000_o foot_n 144_o 2.295_o 1_o 3_o 5_o 16.5_o 66_o 660_o 5280_o yard_n 1296_o 20.755_o 9_o 1_o 1.66_o 550_o 22_o 220_o 1760_o pace_n 3600_o 57.381_o 25_o 2.778_o 1_o 3.3_o 13.2_o 132_o 1056_o perch_n 39204_o 625_o 272.25_o 30_o 25_o 10.89_o 1_o 4_o 40_o 320_o chain_n 627264_o 10000_o 4356_o 484_o 174.24_o 16_o 1_o 10_o 80_o acre_n 6272640_o 100000_o 43560_o 4840_o 1742.4_o 160_o 10_o 1_o 8_o mile_n 4014489600_o 64000000_o 27878400_o 3097600_o 1115136_o 102400_o 6400_o 640_o 1_o square_a inch_n link_n foot_n yard_n pace_n perch_n chain_n acre_n mile_n then_o as_o the_o length_n of_o the_o land_n give_v in_o foot_n yard_n pace_n perch_n or_o chain_n be_v to_o the_o number_n of_o square_a foot_n yard_n pace_n perch_n or_o chain_n in_o a_o square_a acre_n so_o be_v 1_o to_o the_o breadth_n of_o the_o land_n in_o that_o measure_n the_o length_n be_v give_v to_o make_v a_o square_a acre_n see_v the_o example_n of_o all_o these_o measure_n in_o their_o order_n viz._n of_o foot_n yard_n pace_n perch_n and_o chain_n suppose_v a_o piece_n of_o land_n be_v 660_o foot_n long_o or_o 220_o yard_n or_o 132_o pace_n or_o 40_o perch_n or_o 10_o chain_n in_o length_n which_o several_a measure_n be_v all_o of_o the_o same_o quantity_n i_o will_v know_v how_o much_o in_o breadth_n i_o must_v have_v to_o make_v a_o square_a acre_n extend_v the_o compass_n from_o the_o length_n give_v viz._n 660_o foot_n or_o 220_o yard_n or_o 132_o pace_n or_o 40_o perch_n or_o 10_o chain_n to_o 43560_o for_o foot_n or_o to_o 4840_o for_o yard_n or_o to_o 1742_o for_o pace_n or_o to_o 160_o for_o perch_n or_o to_o 10_o for_o chain_n to_o the_o number_n in_o the_o table_n for_o that_o measure_n in_o a_o square_a acre_n the_o same_o extent_n apply_v the_o same_o way_n from_o 1_o shall_v reach_v to_o the_o foot_n yard_n pace_n perch_n or_o chain_n require_v note_v the_o work_n 1._o as_o 660_o to_o 43563_o the_o foot_n in_o a_o square_a acre_n so_o be_v 1_o to_o 66_o the_o breadth_n in_o foot_n require_v 2._o as_o 220_o the_o length_n in_o yard_n to_o 4840_o the_o square_a yard_n in_o a_o square_a acre_n so_o be_v 1_o to_o 22_o the_o breadth_n in_o yard_n require_v 3._o as_o 132_o the_o length_n in_o pace_n to_o 1742_o so_o be_v 1_o to_o 13-2_a the_o breadth_n in_o pace_n seek_v 4._o as_o 40_o the_o length_n in_o perch_n to_o 100l_n so_o be_v 1_o to_z 4_o the_o breadth_n in_o perch_n 5._o as_o 10_o the_o length_n in_o chain_n to_o 10_o so_o be_v 1_o to_z 1_o the_o breadth_n in_o chain_n require_v 6._o as_o 176_o the_o length_n in_o else_o to_o 3097_o ⅓_n so_o be_v ●_o to_o 17-6_a the_o breadth_n in_o else_o require_v to_o work_v this_o by_o the_o line_n of_o line_n say_v 1._o as_o the_o 43560_o to_o =_o 660_o so_o be_v =_o 10_o to_o 66_o latteral_o 2_o as_o the_o latteral_a 220_o to_o parallel_v 4840_o so_o be_v latteral_a 1_o to_o parallel_v 22_o single_a double_a or_o fourfold_a 3._o as_o 132_o double_v be_v to_o =_o 1742_o likewise_o double_v because_o it_o fall_v near_o the_o centre_n so_o be_v 1_o quadruple_v viz._n 4_o to_z =_o 13-2_a quadruple_v viz._n 52-4_a 4._o as_o 160_o to_o =_o 40_o so_o be_v =_o 10_o for_o 1_o to_z 4_o perch_n 5._o as_o 10_o to_z =_o 10_o so_o be_v =_o 1_o to_o 1_o the_o breadth_n require_v if_o you_o will_v know_v how_o much_o breadth_n at_o any_o length_n shall_v make_v 2_o 3_o or_o 4_o acre_n then_o say_v as_o the_o length_n give_v to_o the_o quantity_n of_o one_o acre_n in_o that_o measure_n according_a to_o the_o table_n so_o be_v 2_o 3_o 4_o or_o 5_o to_o the_o breadth_n require_v example_n at_o 30_o perch_n in_o length_n the_o extent_n from_o 30_o to_o 160_o shall_v reach_v the_o same_o way_n from_o 4_o to_o 21_o perch_n and_o 34_o of_o 100_o or_o 5_o foot_n 06_o inch_n the_o breadth_n of_o 4_o acre_n at_o 30_o perch_n in_o length_n problem_n ii_o the_o length_n and_o breadth_n give_v in_o perch_n to_o find_v the_o content_a in_o perch_n of_o any_o piece_n of_o land_n the_o extent_n from_o 1_o to_o the_o breadth_n in_o perch_n shall_v reach_v the_o same_o way_n from_o the_o length_n in_o perch_n to_o the_o true_a content_a in_o square_a perch_n example_n as_o 1_o to_o 50_o so_o be_v 179_o to_o 8950_o the_o content_a in_o square_a perch_n problem_n iii_o the_o length_n and_o breadth_n be_v give_v in_o perch_n to_o find_v the_o content_a in_o square_a acre_n the_o extent_n from_o 160_o to_o the_o breadth_n in_o perch_n shall_v ●each_v the_o same_o way_n from_o the_o length_n in_o perch_n to_o the_o content_a in_o square_a acre_n example_n as_o 160_o to_o 50_o so_o be_v 179_o to_o 5-58_a acre_n or_o 5_o a●res_n 2_o rood_n and_o 13_o perch_n problem_n iu._n the_o length_n and_o breadth_n of_o a_o piece_n of_o land_n be_v give_v in_o chain_n to_o find_v the_o content_a in_o acre_n the_o extent_n from_o 1_o to_o the_o breadth_n in_o chain_n and_o 100_o part_n which_o be_v link_n shall_v reach_v the_o same_o way_n from_o the_o length_n in_o chain_n and_o link_n to_o the_o content_a in_o square_a acre_n example_n as_o 1_o to_o 5_o chain_n 52_o link_n the_o breadth_n so_o be_v 8_o chain_n 72_o link_n to_o 48_o acre_n and_o 3960_o square_a link_n problem_n v._o have_v the_o base_a and_o perpendicule_a of_o a_o triangle_n give_v in_o chain_n or_o perch_n to_o find_v the_o content_a in_o acre_n the_o extent_n from_o 2_o if_o you_o use_v chain_n or_o from_o 320_o if_o you_o measure_v by_o perch_n to_o the_o whole_a base_a shall_v reach_v the_o same_o way_n from_o the_o whole_a perpendicule_a to_o the_o whole_a content_a of_o the_o triangle_n or_o if_o it_o be_v a_o trapezia_n join_v both_o the_o perpendiculer_o in_o one_o sum_fw-la example_n as_o 2_o for_o chain_n to_o 3-63_a the_o whole_a perpendicule_a so_o be_v 11-80_a the_o whole_a base_a to_o 21_o acre_n 42_o link_n the_o content_a of_o the_o whole_a triangle_n or_o in_o perch_n as_o 320_o to_o 14-55_a the_o perpendicule_a in_o perch_n so_o be_v 47-20_a the_o length_n or_o base_a line_n in_o perch_n to_o 21_o acre_n 24_o link_n the_o content_a in_o acre_n problem_n vi_o the_o area_n or_o content_a of_o a_o piece_n of_o land_n give_v that_o be_v measure_v by_o statute-perche_n to_o find_v the_o content_a of_o the_o same_o piece_n of_o land_n in_o wood-land_n measure_n or_o customary_a acre_n or_o irish_a acre_n for_o the_o better_a understanding_n of_o this_o problem_n

for_o if_o you_o shall_v turn_v the_o extent_n between_o 100_o and_o 106_o ten_o time_n backward_o from_o 257_o it_o will_v stay_v at_o 143_o ½_o the_o worth_n in_o ready_a money_n or_o to_o make_v use_n of_o the_o former_a remedy_n multiply_v 0253058_o the_o logarithm_n of_o 106_o by_o 10_o then_o this_o extent_n take_v and_o lay_v the_o decrease_a way_n from_o 257_o shall_v reach_v to_o 143_o ½_o for_o note_n that_o the_o line_n of_o line_n be_v the_o scale_n of_o equal_a part_n that_o make_v the_o line_n of_o number_n and_o 10_o or_o 7_o or_o 15_o or_o any_o other_o number_n multiply_v by_o the_o logarithm_n of_o 106_o take_v from_o that_o scale_n of_o line_n all_o at_o once_o be_v equal_a to_o so_o many_o repetition_n and_o consequent_o more_o exact_a because_o of_o the_o difficulty_n of_o take_v the_o 10_o 12_o or_o 15_o part_n of_o any_o number_n whatsoever_o and_o observe_v that_o so_o much_o as_o you_o err_v in_o the_o first_o it_o will_v be_v 10_o 12_o or_o 15_o or_o 20_o time_n so_o much_o at_o last_o which_o may_v be_v considerable_a in_o this_o problem_n iu._n a_o yearly_a rent_n or_o annuity_n be_v forbear_v a_o certain_a number_n of_o year_n to_o find_v what_o the_o arrear_n thereof_o will_v amount_v unto_o according_a to_o any_o rate_n propound_v first_o you_o must_v find_v out_o the_o principal-money_n that_o answer_v to_o the_o rent_n or_o annuity_n in_o question_n then_o find_v the_o sum_n of_o that_o principal_a and_o use_v at_o the_o end_n of_o the_o term_n give_v at_o the_o rate_n propound_v then_o the_o principal_n take_v out_o of_o this_o sum_n both_o of_o arrear_n and_o principal_a the_o arrear_n do_v remain_v which_o be_v the_o sum_n you_o look_v for_o example_n suppose_v a_o landlord_n live_v far_o from_o his_o tenant_n and_o yet_o judge_v his_o tenant_n honest_a and_o able_a be_v content_a to_o take_v his_o rent_n once_o in_o every_o four_o year_n which_o shall_v be_v pay_v every_o year_n or_o every_o quarter_n of_o the_o year_n and_o suppose_v the_o rent_n be_v 10_o l._n per_fw-la annum_fw-la and_o the_o rate_n of_o profit_n for_o the_o forbearance_n be_v 8_o per_fw-la cent_n first_o to_o find_v the_o principal_a for_o 10_o l._n per_fw-la annum_fw-la at_o the_o rate_n of_o 8_o l._n per_fw-la cent_n say_v if_o 8_o l._n have_v 100_o for_o his_o principal_n what_o shall_v 10_o l._n have_v the_o answer_n will_v be_v 125_o for_o the_o extent_n from_o 8_o to_o 100_o shall_v reach_v from_o 10_o the_o same_o way_n to_o 125_o then_o by_o the_o second_o problem_n of_o this_o chapter_n 125_o l._n forbear_v for_o four_o year_n will_v come_v to_o 170_o l._n which_o be_v 170_o l._n 0_o s._n 0_o d._n from_o which_o sum_n if_o you_o subtract_v 125_o l._n there_o remain_v 45_o l._n the_o arrear_n for_o 10_o l._n per_fw-la annum_fw-la forbear_v four_o year_n at_o the_o rate_n of_o 8_o per_fw-la cent_n but_o if_o you_o will_v have_v the_o profit_n of_o these_o arrearage_n suppose_v 2_o l._n 10_o s._n the_o four_o part_n of_o 10_o l._n per_fw-la annum_fw-la to_o be_v pay_v quarterly_a and_o to_o count_v use_n upon_o use_n at_o the_o rate_n abovesaid_a than_o you_o will_v find_v the_o principal_a and_o arrear_n to_o be_v 171_o l._n 10_o s_o for_o if_o you_o multiply_v 0086_o the_o log_n of_o 102_o l._n the_o interest_n and_o principal_n of_o 100_o l._n for_o a_o quarter_n of_o a_o year_n by_o 16_o the_o quarter_n in_o four_o year_n it_o will_v be_v 1376_o which_o number_v take_v from_o the_o line_n of_o line_n and_o lay_v from_o 120_o on_o the_o line_n of_o number_n shall_v reach_v to_o 171_o ½_o or_o 171_o l._n 10_o s._n be_v 30_o s._n more_o than_o the_o former_a sum_n when_o 150_o l._n the_o principal_a be_v take_v away_o the_o residue_n arrear_n be_v 46_o l._n 10_o s._n or_o if_o you_o turn_v the_o distance_n on_o the_o number_n between_o 100_o and_o 102_o 16_o time_n from_o 125_o which_o you_o may_v help_v thus_o turn_v first_o 4_o time_n then_o take_v they_o 4_o time_n in_o one_o extent_n and_o turn_v 3_o time_n more_o and_o you_o will_v stay_v at_o 271_o ½_o the_o answer_v require_v problem_n v._o a_o yearly_a rent_n or_o annuity_n propound_v to_o find_v the_o worth_n thereof_o in_o ready_a money_n at_o any_o rate_n whatsoever_o first_o by_o the_o four_o problem_n find_v the_o arrear_n that_o shall_v be_v due_a at_o the_o end_n of_o the_o term_n and_o at_o the_o rate_n propound_v then_o by_o the_o 3d_o problem_n find_v what_o those_o arrear_n be_v worth_a in_o ready_a money_n which_o shall_v be_v the_o worth_n of_o the_o annuity_n or_o rend_v require_v example_n there_o be_v a_o lease_n of_o a_o house_n or_o land_n worth_a 12_o l._n per_fw-la annum_fw-la and_o there_o be_v 16_o year_n yet_o to_o come_v which_o lease_n a_o man_n will_v buy_v provide_v he_o may_v lay_v out_o his_o money_n to_o gain_v after_o the_o rate_n of_o 10_o l._n per_fw-la cent_n the_o question_n be_v what_o be_v it_o worth_a first_o by_o the_o last_o if_o 10_o l._n have_v 100_o for_o his_o principal_n what_o shall_v 12_o the_o answer_n be_v 120_o then_o by_o the_o second_o part_n of_o the_o second_o 120_o l._n forbear_v 16_o year_n come_v to_o 551_o l._n the_o principal_a and_o interest_n from_o which_o sum_n take_v 120_o l._n the_o principal_a there_o remain_v 431_o the_o arrear_n then_o by_o the_o three_o problem_n find_v what_o 431_o due_a 16_o year_n to_o come_v be_v worth_a in_o ready_a money_n and_o the_o answer_n will_v be_v at_o 10_o in_o the_o 100_o 93_o l._n 14_o s._n also_o herein_o observe_v that_o if_o there_o be_v any_o reversion_n of_o a_o lease_n to_o be_v expire_v before_o it_o may_v be_v enjoy_v then_o you_o be_v to_o find_v the_o worth_n of_o 431_o l._n after_o so_o many_o year_n more_o as_o suppose_v it_o be_v 5_o year_n before_o the_o annuity_n begin_v then_o find_v the_o worth_n of_o 431_o forbear_v 21_o year_n which_o will_v be_v 58_o l._n 4_o s._n problem_n vi_o a_o sum_n of_o money_n be_v propound_v and_o the_o rate_n whereby_o a_o man_n intend_v to_o purchase_v to_o find_v what_o annuity_n and_o how_o many_o year_n to_o continue_v that_o sum_n of_o money_n will_v buy_v take_v any_o know_a annuity_n at_o pleasure_n and_o find_v by_o the_o last_o the_o value_n of_o that_o in_o ready_a money_n than_o this_o proportion_n hold_v as_o the_o value_n find_v be_v to_o the_o annuity_n suppose_v so_o be_v the_o sum_n of_o money_n to_o be_v improve_v to_o the_o annuity_n require_v example_n what_o annuity_n to_o continue_v 16_o year_n will_v 500_o l._n purchase_n whereby_o a_o man_n may_v gain_v after_o the_o rate_n of_o 10_o l._n per_fw-la cent_n by_o the_o last_o problem_n i_o find_v that_o 93_o l._n 14_o s._n will_v purchase_v 12_o l._n a_o year_n for_o 16_o year_n at_o 10_o per_fw-la cent_n therefore_o the_o extent_n of_o the_o compass_n from_o 93_o l._n 7_o to_z 12_o l._n per_fw-la annum_fw-la shall_v reach_v the_o same_o from_o 500_o to_o 64_o l._n per_fw-la annum_fw-la for_o such_o a_o annuity_n to_o continue_v 16_o year_n will_v 500_o l._n purchase_n to_o gain_v 10_o l._n per_fw-la annum_fw-la per_fw-la cent_n for_o your_o money_n problem_n vii_o or_o first_o rather_o land_n or_o house_n sell_v at_o any_o certain_a number_n of_o year_n purchase_v to_o find_v what_o the_o value_n of_o the_o whole_a will_v be_v the_o usual_a way_n of_o value_v land_n or_o house_n be_v by_o the_o year_n purchase_v and_o land_n feesimple_n be_v usual_o value_v at_o 20_o year_n purchase_n coppy-hold-land_n at_o 15_o or_o 16_o year_n purchase_n and_o good_a strong_a and_o new_a house_n at_o 12_o 13_o or_o 14_o year_n purchase_n for_o fee-simple_n but_o a_o lease_n of_o 〈…〉_z of_o 21_o year_n about_o 7_o year_n purchase_n and_o a_o lease_n of_o 31_o year_n about_o 8_o year_n purchase_n rather_o less_o than_o more_o and_o a_o lease_n of_o 60_o or_o 100_o not_o worth_a above_o 8_o ½_o year_n purchase_v again_o the_o usual_a profit_n allow_v for_o land_n in_o fee-simple_n be_v not_o above_o 5_o l._n in_o the_o 100_o per_fw-la annum_fw-la because_o of_o the_o certainty_n thereof_o for_o copyhold_n land_n full_o 6_o l._n in_o the_o 100_o per_fw-la annum_fw-la for_o the_o best_a house_n 7_o and_o 8_o l._n in_o the_o 100_o fee-simple_n but_o in_o lay_v out_o money_n on_o lease_n either_o of_o land_n or_o house_n man_n shall_v hardly_o be_v saviour_n if_o they_o gain_v not_o 8_o 9_o or_o 10_o in_o the_o 100_o per_fw-la annum_fw-la for_o their_o money_n the_o reason_n and_o demonstration_n whereof_o you_o may_v read_v at_o large_a in_o mr._n phillip_n his_o purchaser_n pattern_n thus_o the_o number_n of_o year_n purchase_v agree_v on_o which_o ought_v to_o be_v clear_a