Selected quad for the lemma: book_n

Word A	Word B	Word C	Word D	Occurrence	Frequency Band	MI	MI Band	Prominent
book_n	call_v	king_n	year_n	3,080	5	4.8170	4	true

Text snippets containing the quad

ID	Title	Author	Corrected Date of Publication (TCP Date of Publication)	STC	Words	Pages
A64224	Thesaurarium mathematicae, or, The treasury of mathematicks containing variety of usefull practices in arithmetick, geometry, trigonometry, astronomy, geography, navigation and surveying ... to which is annexed a table of 10000 logarithms, log-sines, and log-tangents / by John Taylor.	Taylor, John, mathematician.	1687 (1687)	Wing T534; ESTC R23734	190,995	514

fig._n 23._o fig._n 24._o fig._n 25._o fig._n 26._o fig._n 27._o fig._n 28._o fig._n 29._o fig._n 30._o fig._n 31._o fig._n 32._o fig._n 33._o ☞_o note_v that_o every_o sphere_n be_v equal_a unto_o two_o cones_n who_o height_n and_o diameter_n of_o the_o base_a be_v the_o same_o with_o the_o axis_n of_o the_o sphere_n and_o a_o sphere_n be_v two_o three_o of_o a_o cylinder_n who_o height_n and_o diameter_n of_o the_o base_a be_v the_o same_o with_o the_o axis_n of_o the_o sphere_n according_a unto_o the_o 9th_o manifestation_n of_o the_o first_o book_n of_o archimedes_n of_o the_o sphere_n and_o cylinder_n fig._n 34._o fig._n 36._o fig._n 35._o fig._n 34._o observe_v this_o for_o a_o general_a rule_n in_o trigonometry_n fig._n 34_o fig._n 34._o fig._n 34._o fig._n 35._o 〈…〉_z fig._n 35._o fig._n 35._o fig._n 36._o ☞_o the_o rule_n to_o find_v the_o compliment_n arithmetical_a of_o any_o logarithm_n number_n 9_o 962398._o 0._o 037602._o fig._n 36._o fig._n 36._o fig._n 36._o fig._n 37._o fig._n 37._o 37._o that_o be_v equal_a unto_o the_o two_o angle_n b_o 40°_n and_o b._n 53°_n as_o afore_o in_o the_o former_a proposition_n fig._n 37._o fig._n 37._o fig._n 37._o fig._n 37._o fig._n 38._o fig._n 38._o fig._n 38._o fig._n 38._o fig._n 38._o fig._n 38._o fig._n 38._o fig._n 38._o fig._n 38._o fig._n 38._o fig._n 38_o fig._n 38._o fig._n 38._o fig._n 38._o fig._n 38._o fig._n 38._o fig._n 39_o note_v that_o in_o these_o operation_n for_o the_o more_o facility_n of_o the_o learner_n i_o omit_v second_o which_o do_v belong_v unto_o the_o angles_n etc._n etc._n fig._n 39_o fig._n 39_o ☞_o and_o here_o observe_v that_o if_o the_o sum_n of_o the_o two_o contain_v side_n exceed_v a_o semicircle_n then_o subtract_v each_o side_n several_o from_o 180°_n and_o proceed_v with_o those_o compliment_n as_o with_o the_o side_n give_v the_o operation_n produce_v the_o compliment_n of_o the_o angles_n seek_v unto_o a_o semicircle_n or_o 180_o degree_n fig._n 39_o ☞_o and_o here_o observe_v that_o if_o the_o sum_n of_o the_o two_o give_v angle_n exceed_v a_o semicircle_n or_o 180°_n subtract_v they_o from_o a_o semicircle_n and_o proceed_v with_o the_o residue_v the_o operation_n will_v produce_v each_o side_n be_v compliment_n to_o a_o semicircle_n or_o 180_o degree_n fig._n 39_o fig._n 39_o fig._n 39_o fig._n 39_o fig._n 39_o fig._n 39_o fig._n 40._o 40._o note_v that_o if_o the_o angle_n at_o the_o base_a be_v both_o of_o one_o kind_n that_o then_o the_o perpendicular_a fall_n within_o the_o triangle_n if_o of_o diverse_a kind_n without_o the_o triangle_n fig._n 41._o fig._n 40._o fig._n 40._o fig._n 40._o fig._n 40._o fig._n 40._o defin._n defin._n fig._n 42._o fig._n 42._o fig._n 42._o fig._n 42._o fig._n 42._o 42._o which_o be_v by_o the_o greek_n call_v 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d i_o e._n bring_v life_n because_o the_o life_n of_o all_o creature_n depend_v on_o the_o cause_n of_o that_o circle_n for_o the_o sun_n ascend_v in_o it_o and_o move_v towards_o we_o bring_v the_o generation_n of_o thing_n and_o in_o descend_v the_o corruption_n of_o all_o thing_n sensible_a and_o insensible_a which_o be_v below_o the_o concavity_n of_o the_o moon_n etc._n etc._n fig._n 42._o fig._n 42._o fig._n 42._o fig._n 42_o fig._n 42._o fig._n 42._o fig._n 42._o fig._n 42._o fig._n 43._o fig._n 43._o 43._o if_o the_o sun_n declination_n be_v north_n and_o increase_v this_o proportion_n find_v the_o sun_n distance_n from_o ♈_o but_o if_o decrease_v from_o ♎_o in_o the_o northern_a sin_n but_o if_o the_o sun_n declination_n be_v south_n and_o increase_v from_o ♎_o if_o decrease_v from_o ♈_o among_o the_o southern_a sin_n sin_n from_o the_o next_o equinoctial_a point_n either_o ♈_o or_o ♎_o ♎_o as_o in_o case_n 11_o of_o oblique_a spherical_a triangle_n triangle_n watch_v the_o time_n after_o sunsetting_a when_o the_o twilight_n in_o the_o west_n be_v shut_v in_o so_o that_o no_o more_o twilight_n than_o in_o any_o other_o part_n of_o the_o sky_n near_o the_o horizon_n appear_v there_o then_o by_o one_o of_o the_o know_v fix_a star_n have_v find_v the_o true_a hour_n of_o the_o night_n he_o find_v the_o length_n of_o the_o twilight_n to_o be_v as_o in_o the_o rule_n be_v mention_v mention_v or_o ½_o diurnal_a arch._n to_o find_v the_o length_n of_o the_o least_o crepusculum_fw-la or_o twilight_n defin._n defin._n europe_n europe_n which_o pliny_n have_v adorn_v in_o these_o word_n say_v he_o italia_n terrarum_fw-la omnium_fw-la alumna_fw-la eadem_fw-la &_o parens_fw-la numine_fw-la deûm_fw-la electa_fw-la qua_fw-la coelum_fw-la ipsum_fw-la clariùs_fw-la faceret_fw-la sparsa_fw-la congregaret_fw-la imperia_fw-la ritus_fw-la molliret_fw-la tot_fw-la populorum_fw-la discord_n linguas_fw-la sermonis_fw-la commercio_fw-la ad_fw-la colloquia_fw-la distraheret_fw-la &_o humanitati_fw-la hominem_fw-la daret_fw-la i._n e._n italy_n say_v pliny_n be_v the_o nurse_n and_o the_o parent_n of_o all_o religion_n be_v elect_v by_o the_o providence_n of_o the_o god_n to_o make_v if_o possible_a the_o heaven_n more_o famous_a to_o gather_v the_o scatter_a empire_n of_o the_o world_n into_o one_o body_n to_o temper_v the_o barbarous_a rite_n of_o the_o nation_n to_o unite_v so_o many_o disagree_a language_n of_o man_n by_o the_o benefit_n of_o one_o common_a tongue_n and_o in_o a_o word_n to_o restore_v man_n to_o his_o humanity_n europe_n europe_n europe_n europe_n europe_n europe_n europe_n europe_n europe_n europe_n europe_n europe_n europe_n europe_n europe_n europe_n europe_n europe_n europe_n europe_n europe_n europe_n europe_n asia_n asia_n asia_n asia_n asia_n asia_n asia_n asia_n asia_n asia_n asia_n asia_n africa_n africa_n africa_n africa_n africa_n africa_n africa_n africa_n america_n america_n america_n america_n america_n america_n america_n america_n america_n america_n america_n america_n the_o doctrine_n of_o rightlined_a triangle_n both_o right_a and_o obliqueangled_n apply_v to_o proposition_n of_o plain_a sail_v fig._n 44._o fig._n 44._o fig._n 44._o fig._n 44._o fig._n 45._o fig._n 45._o fig._n 46._o fig._n 46._o fig._n 47._o fig._n 47._o fig._n 48._o fig._n 49_o 49_o 49_o but_o be_v indeed_o the_o invention_n of_o our_o learned_a countryman_n mr._n edw._n wright_n although_o this_o stranger_n have_v almost_o get_v the_o name_n and_o praise_v thereof_o fig._n 50._o fig._n 50._o fig._n 51._o fig._n 51._o fig._n 51._o fig._n 51._o fig._n 51._o fig._n 51._o 51._o which_o instrument_n and_o the_o plain_a table_n i_o esteem_v as_o the_o two_o apt_a instrument_n for_o survey_v of_o land_n i._n e._n the_o plain_a table_n for_o small_a enclosure_n and_o the_o semicircle_n for_o champain_n plain_n wood_n and_o mountain_n fig._n 52._o fig._n 52._o fig._n 53._o fig._n 53._o fig._n 54._o fig._n 54._o fig._n 55._o fig._n 55._o fig._n 55._o fig._n 55._o fig._n 55._o fig._n 55._o fig._n 56._o fig._n 56._o fig._n 56._o fig._n 56._o fig._n 57_o fig._n 57_o fig._n 58._o fig._n 58._o fig._n 58._o fig._n 58._o 58._o be_v a_o quadrangle_n who_o side_n be_v not_o parallel_v nor_o equal_a euclides_n postulat_fw-la haunt_n fabricam'trapezium_fw-la tanquam_fw-la mensulam_fw-la vocari_fw-la &_o sanè_fw-la nominis_fw-la ejus_fw-la ratio_fw-la geometrica_fw-la nulla_fw-la est_fw-la p._n rami_n lib._n 14_o pag._n 94._o fig._n 59_o fig._n 60._o fig._n 61._o 61._o which_o to_o do_v be_v no_o more_o than_o thus_o with_o a_o thread_n and_o plummet_n fasten_v at_o the_o centre_n of_o the_o semicircle_n so_o that_o it_o have_v liberty_n to_o play_v move_v the_o semicircle_n until_o the_o thread_n play_v against_o 90_o deg_n then_o screw_v it_o fast_o and_o it_o be_v horizontal_n fig._n 61._o fig._n 61._o fig._n 62._o fig._n 63_o fig._n 63._o 63._o who_o surface_n be_v bound_v by_o a_o line_n call_v by_o proclus_n a_o helicoide_n but_o it_o may_v also_o be_v call_v a_o helix_fw-la a_o twist_n or_o wreath_n etc._n etc._n etc._n see_v procl_n lib._n 2._o cap._n 3._o &_o viturvius_fw-la lib._n 9_o cap_n 3._o 3._o see_v mr._n oughthr_v in_o his_o book_n of_o the_o circle_n of_o proportion_n page_n the_o 57_o and_o mr._n edm._n gunter_n in_o his_o book_n of_o the_o crossstaff_n part_v 21._o chap._n the_o 4._o 4._o which_o do_v appear_v to_o have_v be_v in_o use_n above_o this_o 2400_o year_n for_o king_n achaz_n have_v a_o dial_n this_o art_n require_v good_a skill_n in_o geometry_n and_o astronomy_n now_o cresibius_fw-la that_o famous_a philosopher_n measure_v the_o hour_n and_o time_n by_o the_o orderly_o run_v of_o water_n then_o by_o sand_n be_v the_o hour_n measure_v after_o that_o by_o trochilike_o with_o weight_n and_o of_o late_a with_o trochilike_o with_o spring_n fig._n 64._o fig._n 64._o fig._n 65._o fig._n 65._o 65._o which_o may_v be_v either_o a_o pin_n of_o the_o length_n of_o q_o s_o place_v on_o q_o and_o perpendicular_a unto_o the_o plane_n or_o it_o may_v be_v a_o piece_n of_o brass_n or_o elsewhat_o of_o the_o breadth_n of_o 12_o to_z 3_o or_o 9_o fig._n 66._o fig._n 66._o fig._n 66._o fig._n 67._o fig._n 68_o fig._n 70._o fig._n 70._o fig._n 70._o fig._n 70._o fig._n 71._o fig._n 71._o fig._n 71._o fig._n 71._o fig._n 71._o fig._n 71._o fig._n 71._o fig._n 71._o fig._n 72._o defin._n fig._n 73._o fig._n 73._o fig._n 73._o fig._n 73._o 73._o because_o the_o length_n of_o the_o part_n of_o a_o musket_n do_v not_o much_o exceed_v that_o mèasure_n fig._n 73._o fig._n 73._o fig._n 73._o 73._o because_o the_o defence_n ought_v to_o be_v easy_a quick_a certain_a and_o of_o little_a charge_n all_o which_o quality_n the_o musket_n have_v and_o the_o cannon_n have_v not_o therefore_o the_o defence_n of_o fortification_n ought_v to_o be_v measure_v by_o the_o port_n of_o a_o musket_n and_o not_o by_o that_o of_o a_o cannon_n fig._n 74._o fig._n 74._o fig._n 74._o fig._n 74._o fig._n 74._o fig._n 74._o fig._n 74._o fig._n 74._o fig._n 74._o fig._n 74._o fig._n 74._o fig._n 74._o observe_v this_o for_o a_o general_a rule_n in_o regular_a fortification_n fig._n 76._o case_n 1._o fig._n 76._o case_n 2._o fig._n 77._o fig._n 78._o fig._n 78._o fig._n 78._o fig._n 78._o fig._n 78._o fig._n 79._o fig._n 79._o fig._n 79._o fig._n 80._o fig._n 81._o fig._n 83._o fig._n 84._o 84._o build_v to_o bridle_v the_o town_n or_o the_o place_n leave_v the_o burgher_n shall_v be_v rebellious_a and_o to_o be_v the_o last_o refuge_n or_o place_n of_o retreat_n retreat_n the_o inginier_n must_v first_o form_v a_o map_n of_o the_o town_n or_o place_n with_o all_o the_o way_n passage_n old_a wall_n rivers_n pool_n enclosure_n and_o all_o other_o matter_n fit_a to_o be_v know_v in_o the_o draught_n and_o then_o he_o be_v to_o design_n what_o work_v he_o find_v most_o agree_v to_o the_o place_n to_o be_v fortify_v fig._n 84._o fig._n 85._o fig._n 86._o fig._n 87._o fig._n 88_o fig._n 89._o fig._n 90._o defin._n this_o military_a engine_n bombarda_fw-it gun_n cannon_n etc._n etc._n so_o call_v from_o bombo_n a_o resound_a noise_n cannone_n or_o cannon_n from_o the_o likeness_n it_o hold_v with_o his_o can_v boar_n or_o concavity_n artigleria_n from_o artiglio_n the_o talon_n or_o claw_n of_o ravenous_a fowl_n because_o its_o shot_n fly_v afar_o off_o tear_n and_o deface_v all_o that_o it_o do_v meet_v from_o whence_o some_o nature_n of_o this_o machine_n be_v call_v smeriglii_fw-la long_o wing_a hawk_n falconi_n falconet_n passa_fw-la volanti_fw-la swift_a fly_a arrow_n etc._n etc._n fig._n 91._o fig._n 91._o fig._n 91._o 91._o in_o his_o mathematical_a manual_n page_n 165._o fig._n 91._o 91._o see_v mr._n diggs_n in_o his_o pantometria_fw-la page_n 179._o general_n rule_v to_o be_v observe_v in_o the_o batter_a down_o of_o a_o place_n or_o make_v of_o breach_n breach_n according_a to_o learned_a d'chales_n on_o the_o four_o prop._n of_o the_o first_o book_n of_o euclid_n fig._n 93._o

998737_o 10._o 001263_o 5_o 56_o 9_o 848979_o 9_o 849990_o 9_o 998989_o 10._o 001011_o 4_o 57_o 9_o 849106_o 9_o 849864_o 9_o 999242_o 10._o 001758_o 3_o 58_o 9_o 849232_o 9_o 849737_o 9_o 999495_o 10._o 000505_o 2_o 59_o 9_o 849359_o 9_o 849611_o 9_o 999747_o 10._o 000253_o 1_o 60_o 9_o 849485_o 9_o 849485_o 10._o 000000_o 10._o 000000_o 0_o cousin_a sine_fw-la co-tang_n tangent_fw-la m_n degree_n 45._o finis_fw-la some_o book_n sell_v by_o w._n freeman_n at_o the_o artichoke_n next_o st._n dunstan_n church_n in_o fleetstreet_n report_n in_o the_o court_n of_o king's-bench_n from_o the_o 12_o to_o the_o 30_o year_n of_o the_o reign_n of_o our_o late_a sovereign_a lord_n king_n charles_n ii_o in_o 3_o vol._n take_v by_o j._n keble_n of_o grey's-inn_n esquire_n with_o new_a and_o useful_a table_n to_o all_o the_o 3_o vol._n sheppard_n precedent_n of_o president_n 8_o o_z zenophon_n history_n of_o the_o affair_n of_o greece_n inseven_a book_n be_v a_o continuation_n of_o the_o peloponnesian_a war_n from_o the_o time_n where_o thucydides_n end_v to_o the_o battle_n at_o mantinaea_n to_o which_o be_v prefix_v a_o abstract_n of_o thucydides_n and_o a_o brief_a account_n of_o the_o land_n and_o naval_a force_n of_o the_o ancient_a greek_n translate_v from_o the_o greek_a by_o john_n newman_n the_o institution_n and_o life_n of_o cyrus_n the_o great_a write_v by_o the_o famous_a philosopher_n and_o general_n zenophon_n of_o athens_n translate_v by_o f._n digby_n and_o j._n norris_n holy_a devotion_n with_o direction_n to_o pray_v also_o a_o brief_a exposition_n on_o the_o lord_n prayer_n creed_n ten_o commandment_n seven_o penitential_a psalm_n and_o the_o seven_o psalm_n of_o thanksgiving_n by_o the_o right_n reverend_a father_n in_o god_n lancelot_n andrews_n late_a bishop_n of_o winchester_n daily_o exercise_n for_o a_o christian_a or_o a_o manual_a of_o private_a devotion_n as_o well_o for_o every_o day_n in_o the_o week_n as_o upon_o particular_a occasion_n by_o j._n bridal_a senior_n esq_n late_o of_o the_o roll_n a_o new_a year_n gift_n compose_v of_o prayer_n and_o meditation_n with_o devotion_n for_o several_a occasion_n the_o whole_a six_o part_n complete_a a_o catalogue_n of_o book_n the_o old_a religion_n a_o treatise_n wherein_o be_v lay_v down_o the_o true_a state_n of_o the_o difference_n betwixt_o the_o reform_a and_o roman_a church_n serve_v for_o the_o vindication_n of_o our_o innocence_n for_o the_o settle_n of_o waver_a mind_n for_o a_o preservation_n against_o popish_a insinuation_n by_o the_o reverend_a father_n in_o god_n jos._n hall_n late_a lord_n bishop_n of_o excester_n and_o afterward_o of_o norwich_n the_o manner_n of_o the_o israelite_n in_o 3_o part_n 1._o of_o the_o patriarch_n 2._o of_o the_o israelite_n after_o their_o come_n out_o of_o egypt_n until_o the_o captivity_n of_o babylon_n 3._o of_o the_o jew_n after_o their_o return_n from_o the_o captivity_n until_o the_o preach_a of_o the_o gospel_n in_o 12_o o_o the_o mean_n to_o preserve_v peace_n in_o marriage_n be_v a_o ingenious_a treatise_n write_v original_o in_o french_a by_o the_o author_n of_o the_o rule_n of_o civility_n the_o penitent_n pardon_v or_o a_o discourse_n of_o the_o nature_n of_o sin_n and_o efficacy_n of_o repentance_n under_o the_o parable_n of_o the_o prodigal_a son_n by_o dr._n goodman_n a_o infallible_a way_n to_o contentment_n in_o the_o midst_n of_o public_a and_o personal_a calamity_n together_o with_o the_o christian_n courage_n and_o encouragement_n against_o evil_a tiding_n and_o the_o fear_n of_o death_n argalus_n and_o parthenia_n by_o f._n quarles_n nanis_fw-la history_n of_o venice_n fol._n history_n of_o the_o government_n of_o venice_n 8_o o_o policy_n of_o the_o venetian_n 12_o o_o the_o mistake_v beauty_n a_o comedy_n the_o duchess_n of_o malphey_n the_o empress_n of_o morocco_n a_o farce_n the_o court_n of_o the_o gentile_n in_o 4_o part_n complete_a by_o theophilus_n gale._n from_o my_o house_n in_o baldwin_n court_n in_o baldwin_n garden_n over_o against_o the_o old_a hole_n in_o the_o wall._n omnia_fw-la quaeeunque_fw-la à_fw-la primaeva_fw-la rer●●m_fw-la natura_fw-la constructa_fw-la sunt_fw-la numcrorum_fw-la vid●ntur_fw-la ratione_fw-la formata_fw-la hoc_fw-la enim_fw-la fuit_fw-la principale_v in_fw-la animo_fw-la conditor_fw-la be_v exemplar_n boetiu●_n arith._n lib._n 1._o cap._n 2._o 2._o in_o his_o second_o book_n of_o his_o arithmetic_n and_o the_o 38_o chapter_n where_o he_o say_v that_o this_o proportion_n have_v magnam_fw-la vim_o in_fw-la musici_fw-la modulaminis_fw-la temperamentis_fw-la &_o in_o speculatione_fw-la naturalium_fw-la questionum_fw-la i._n e._n great_a force_n in_o musical_a composition_n or_o in_o the_o composure_n of_o music_n and_o in_o the_o discovery_n of_o the_o secret_n of_o nature_n defin._n defin._n as_o you_o use_v to_o do_v in_o division_n to_o represent_v the_o quotient_a the_o manner_n of_o extract_v the_o square-root_n of_o a_o 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second_o and_o every_o second_o into_o 60_o three_o etc._n etc._n so_o that_o a_o semicircle_n contain_v 180_o degree_n and_o a_o quadrant_n 90_o degree_n now_o a_o arch_n or_o angle_n of_o a_o triangle_n be_v the_o intersection_n of_o its_o two_o side_n and_o the_o measure_n thereof_o be_v a_o arch_n of_o a_o circle_n which_o cut_v each_o of_o the_o two_o side_n equidistant_a from_o the_o angular_a point_n which_o be_v the_o centre_n now_o the_o logarithm_n sine_fw-la or_o tangof_n any_o such_o arch_n of_o a_o triangle_n contain_v any_o number_n of_o degree_n or_o minute_n of_o the_o quadrant_n may_v be_v find_v in_o the_o table_n print_v at_o the_o end_n of_o this_o book_n where_o they_o be_v plain_o express_v and_o be_v find_v as_o direct_v in_o the_o precedent_a rule_n defin._n defin._n defin._n quod_fw-la quaeritur_fw-la cognoscendi_fw-la illius_fw-la gratia_fw-la quod_fw-la semper_fw-la est_fw-la non_fw-la &_o ejus_fw-la quod_fw-la oritur_fw-la quandoque_fw-la &_o interit_fw-la geometria_n ejus_fw-la quod_fw-la est_fw-la semper_fw-la cognitio_fw-la est_fw-la ac_fw-la tollet_fw-la igitur_fw-la o_o generose_fw-la vir_fw-la ad_fw-la veritatem_fw-la animum_fw-la atque_fw-la ita_fw-la ad_fw-la philosophandum_fw-la prepar●vit_fw-la cogitationem_fw-la ut_fw-la ad_fw-la supera_fw-la convertamus_fw-la quae_fw-la nunc_fw-la contra_fw-la quam_fw-la decet_fw-la ad_fw-la inferiora_fw-la dejicimus_fw-la etc._n etc._n plato_n lib._n 7._o de_fw-fr rap._n fig._n 1_o fig._n 2_o fig._n 2._o fig._n 3._o fig._n 4._o fig._n 5._o fig._n ●_o fig._n 6._o fig._n 7._o fig._n 8._o those_o two_o proposition_n well_o understand_v do_v demonstrate_v many_o other_o proposition_n and_o thereon_o be_v ground_v the_o use_n of_o the_o sector_n 〈…〉_z 9_o 9_o but_o this_o in_o a_o hexagon_n need_v not_o be_v do_v because_o the_o 3_o side_n of_o the_o triangle_n be_v equal_a but_o in_o all_o other_o poligon_v it_o must_v be_v do_v do_v but_o if_o the_o three_o line_n do_v exceed_v or_o be_v short_a of_o the_o side_n of_o the_o poligon_n propound_v then_o by_o parallel_n on_o each_o side_n cut_v the_o side_n of_o the_o triangle_n till_o you_o have_v find_v by_o those_o intersection_n where_o to_o set_v the_o line_n propose_v in_o any_o poligon_n etc._n etc._n fig._n 10._o fig._n 11_o ☞_o observe_v these_o rule_n well_o for_o you_o will_v find_v they_o of_o infinite_a use_n in_o fortification_n etc._n etc._n fig._n 11._o fig._n 12._o fig._n 13._o fig._n 14._o fig._n 15._o fig._n 16._o and_o this_o of_o all_o other_o the_o invention_n of_o plato_n apollonius_n sporus_n architas_n diocles_n nicomedus_fw-la &_o many_o other_o famous_a geometrician_n and_o philosopher_n i_o like_v best_a for_o the_o ready_a performance_n of_o this_o conclusion_n who_o several_a method_n i_o can_v here_o describe_v but_o for_o brevity_n sake_n do_v omit_v they_o fig._n 17._o fig._n 18._o fig._n 18._o 18._o so_o after_o the_o same_o manner_n may_v divers_a circle_n be_v add_v into_o one_o by_o the_o help_n of_o the_o former_a proposition_n well_o understand_v fig._n 19_o fig._n 20._o the_o rule_n fig._n 21._o fig._n 22._o