church_n that_o i_o know_v chap._n xvii_o arithmetical_a discourse_n i_o mind_v not_o in_o this_o chapter_n to_o play_v the_o arithmetician_n by_o put_v number_n for_o cipher_n cipher_n for_o number_n as_o though_o i_o be_v a_o accountant_a or_o breed_v up_o in_o a_o merchant_n or_o scrivener_n shop_n no_o i_o mean_v to_o frame_v a_o scale_n or_o ladder_n according_a to_o theological_a arithmetic_n such_o a_o one_o as_o never_o be_v devise_v by_o any_o man_n before_o this_o be_v no_o otherwise_o then_o a_o secret_a manner_n of_o discourse_v as_o touch_v the_o subject_n of_o every_o thing_n according_a to_o the_o harmony_n of_o number_n figure_n concent_n we_o know_v that_o number_n work_v much_o on_o the_o soul_n figure_n upon_o body_n consent_n upon_o creature_n i_o will_v frame_v our_o scale_n first_o afterward_o we_o will_v proceed_v in_o order_n to_o speak_v of_o all_o their_o subject_n our_o scale_n contain_v six_o degree_n begin_v from_o the_o high_o most_v to_o the_o low_a the_o first_o be_v the_o architypall_a world_n in_o which_o be_v 〈◊〉_d that_o be_v the_o divine_a essence_n be_v god_n himself_o second_o be_v the_o intellectual_a world_n in_o which_o be_v intelligence_n three_o be_v the_o celestial_a in_o which_o be_v those_o simple_a body_n want_v all_o kind_n of_o permixtion_n four_o be_v the_o lesser_a world_n where_o be_v place_v those_o rational_a body_n five_o be_v elementary_a in_o this_o be_v place_v those_o pure_a natural_a and_o artificial_a creature_n sixth_o be_v the_o infernal_a world_n wherein_o those_o evil_a and_o malignant_a spirit_n bear_v rule_v in_o the_o architypall_a world_n from_o whence_o come_v the_o law_n of_o providence_n discourse_n be_v make_v as_o touhing_n god_n by_o simple_a number_n which_o proper_o signify_v divine_a thing_n as_o denaries_n celestial_a centenaries_n terrestrial_a millenaries_n of_o the_o world_n to_o come_v exemplify_v in_o this_o wise_a first_o the_o divine_a essence_n be_v one_o the_o fountain_n of_o all_o virtue_n and_o power_n second_o it_o contain_v in_o itself_o eternal_a production_n according_a to_o the_o will_n and_o understanding_n three_o exist_v in_o person_n the_o father_n the_o son_n and_o the_o holy_a ghost_n four_o the_o exi_a law_n of_o providence_n and_o of_o eternal_a happiness_n in_o his_o holy_a and_o most_o bless_a name_n 〈◊〉_d five_o the_o exi_a redeemer_n by_o the_o price_n of_o his_o five_o wound_n of_o his_o bitter_a passion_n and_o in_o the_o name_n and_o virtue_n of_o christ_n call_v pentagrammaton_fw-gr six_o by_o create_v and_o perfect_v the_o world_n on_o the_o sixth_o day_n redeem_v it_o again_o the_o sixth_o day_n seventh_o rest_v from_o his_o work_n call_v the_o sabbath_n eight_o full_a of_o justice_n and_o that_o justice_n the_o fullness_n of_o justice_n nine_o for_o that_o in_o the_o nine_o hour_n he_o let_v go_v his_o spirit_n ten_o in_o that_o the_o ten_o day_n after_o his_o ascension_n he_o send_v his_o paraclete_n that_o be_v the_o holy_a ghost_n eleventh_o by_o send_v his_o heavenly_a grace_n that_o be_v his_o comfortable_a spirit_n in_o his_o most_o holy_a and_o bless_a name_n in_o the_o intellectual_a world_n from_o whence_o come_v the_o law_n of_o destiny_n discourse_n be_v make_v from_o intelligence_n in_o this_o wise_a first_o the_o foul_a of_o the_o world_n be_v one_o supreme_a intelligence_n the_o first_o creature_n the_o fountain_n of_o life_n second_o it_o be_v fellow_n unto_o angel_n which_o have_v constitute_v that_o there_o shall_v be_v two_o intelligible_a substance_n three_o there_o be_v three_o hierarchy_n of_o angel_n three_o degree_n of_o the_o bless_a four_o triplicity_n or_o hierarchy_n intelligible_a four_o precedent_n over_o the_o corner_n of_o heaven_n four_o governor_n of_o the_o element_n 4_o beast_n of_o sanctity_n 4_o triplicity_n of_o tribe_n four_o triplicity_n apostle_n 5_o intelligible_a substance_n six_o order_n of_o angel_n which_o be_v not_o send_v to_o govern_v beneath_o 7_o angel_n which_o stand_v before_o the_o throne_n of_o god_n eight_o reward_n of_o beatitude_n nine_o company_n of_o angel_n 9_o angel_n govern_v by_o triplicity_n 10_o order_n of_o the_o bless_a bear_v rule_n from_o the_o seprenary_a number_n in_o the_o celestial_a world_n from_o whence_o the_o law_n of_o nature_n be_v consider_v there_o be_v one_o prince_n of_o star_n and_o fountain_n of_o light_n two_o great_a light_n 3_o quaternion_n of_o sign_n 3_o quaternion_n of_o house_n 3._o lord_n of_o triplicity_n 4_o triplicity_n of_o sign_n so_o many_o quality_n of_o celestial_a element_n five_o erratical_a star_n call_v domini_fw-la terminorum_fw-la six_o planet_n pass_v from_o the_o eccliptick_a through_o the_o latitude_n of_o the_o zodiac_n 7_o element_n be_v adjoin_v to_o these_o with_o the_o sun_n eight_o visible_a heaven_n 9_o move_a sphere_n ten_o sphere_n of_o the_o world_n twelve_o sign_n of_o the_o zodiac_n in_o four_o triplicity_n of_o sign_n in_o the_o lesser_a world_n from_o whence_o the_o law_n of_o wisdom_n consist_v there_o be_v to_o be_v consider_v first_fw-mi one_o live_v thing_n and_o last_o die_v two_o principal_a seat_n of_o the_o soul_n three_o part_n correspond_v the_o threefold_a world_n four_o element_n of_o man_n so_o many_o power_n of_o the_o soul_n and_o judicial_a faculty_n four_o moral_a virtue_n four_o element_n of_o man_n body_n four_o spirit_n humour_n complexion_n five_o sense_n six_o degree_n of_o man_n seven_o member_n integrall_a distribute_v unto_o planer_n seven_o hole_n or_o cavernacle_n of_o the_o head_n eight_o degree_n of_o beatitude_n nine_o sense_n outward_a and_o inward_a ten_o artery_n or_o pore_n of_o the_o inward_a man_n in_o the_o elementary_a world_n where_o the_o law_n of_o generation_n and_o corruption_n abide_v there_o be_v to_o be_v find_v one_o subject_n and_o instrument_n of_o all_o virtue_n natural_a and_o supernatural_a two_o element_n produce_v a_o live_a soul_n three_o degree_n of_o element_n four_o element_n as_o many_o quality_n season_n corner_n of_o the_o earth_n perfect_a kind_n of_o mix_a thing_n so_o many_o kind_n of_o creature_n answerable_a to_o those_o element_n five_o kind_n of_o corruptible_n or_o species_n mixtorum_n in_o plant_n metal_n stone_n six_o subsanticous_a quality_n of_o element_n seven_o bird_n of_o planet_n so_o many_o fish_n of_o planet_n metal_n of_o planet_n beast_n and_o stone_n eight_o particular_a quality_n nine_o stone_n represent_v nine_o company_n of_o angel_n ten_o beast_n of_o sanctity_n lift_v up_o to_o heaven_n twelve_o plant_n so_o many_o stone_n twelve_o month_n so_o many_o bird_n twelve_o sacred_a beast_n and_o tree_n mention_v by_o those_o who_o have_v treat_v any_o thing_n touch_v orphical_a theology_n in_o the_o infernal_a world_n where_o the_o law_n of_o wrath_n and_o punishment_n endure_v from_o everlasting_a there_o be_v to_o be_v see_v one_o prince_n of_o rebellious_a angel_n two_o captain_n of_o devil_n two_o thing_n which_o christ_n denounce_v against_o the_o damn_a three_o infernal_a fury_n three_o infernal_a judge_n so_o many_o degree_n of_o the_o damn_a four_o prince_n of_o devil_n bear_v rule_n in_o the_o element_n call_v by_o saint_n paul_n airy_a spirit_n four_o river_n infernal_a answerable_a to_o those_o in_o paradise_n so_o many_o prince_n of_o devil_n appoint_v over_o the_o four_o corner_n of_o the_o world_n five_o corporal_a torment_n six_o devil_n author_n of_o all_o calamity_n seven_o infernal_a mansion_n if_o we_o believe_v rabbi_n joseph_n in_o his_o book_n call_v hortus_fw-la nucis_fw-la eight_o reward_n of_o the_o damn_a nine_o order_n of_o evil_a spirit_n ten_o order_n of_o damn_a to_o who_o if_o you_o put_v the_o soul_n of_o the_o damn_a and_o three_o degree_n of_o the_o damn_a they_o make_v just_a twelve_o degree_n of_o devil_n and_o damn_a he_o that_o can_v attain_v to_o the_o secret_n of_o this_o scale_n 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d facile_a cognoseet_n to_o use_v the_o word_n of_o that_o notable_a peripatetic_a that_o be_v in_o one_o word_n he_o shall_v be_v able_a to_o comprehend_v both_o the_o sympathy_n and_o antipathy_n of_o all_o this_o whole_a universe_n set_v before_o his_o eye_n to_o contemplate_v he_o shall_v consider_v order_n which_o precede_v substance_n which_o bring_v propriety_n which_o tell_v we_o what_o be_v absolute_a simple_a subject_a what_o be_v the_o imperfection_n of_o substance_n of_o influence_n of_o part_n with_o many_o other_o singularity_n beyond_o all_o formal_a natural_a and_o artificial_a arithmetic_n which_o scale_n in_o one_o entire_a sum_n have_v show_v as_o much_o as_o in_o this_o whole_a discourse_n in_o gross_a have_v be_v remonstrate_v so_o that_o it_o be_v no_o other_o than_o a_o compendious_a subtraction_n of_o the_o other_o confuse_a and_o copious_a multiplication_n chap._n xviii_o geometrical_a discourse_n we_o may_v discourse_v as_o well_o by_o those_o geometrical_a figure_n see_v such_o manner_n of_o figure_n consist_v of_o number_n whereof_o their_o
the_o secret_n of_o number_n according_a to_o theological_a arithmetical_a geometrical_a and_o harmonical_a computation_n draw_v for_o the_o better_a part_n out_o of_o those_o ancient_n as_o well_o neoteriques_n please_a to_o red_n profitable_a to_o understand_v open_v themselves_o to_o the_o capacity_n of_o both_o learned_a and_o unlearned_a be_v no_o other_o than_o a_o key_n to_o lead_v a_o man_n to_o any_o doctrinal_a knowledge_n whatsoever_o by_o william_n ingpen_n gent._n wisd_v 11.17_o the_o lord_n have_v order_v all_o thing_n in_o measure_n number_n and_o weight_n cognitio_fw-la â—oâ—um_fw-la altissimarum_fw-la est_fw-la prima_fw-la sapientia_fw-la london_n print_v by_o humphrey_n low_v for_o john_n parker_n anno_fw-la domini_fw-la 1624._o author_n pro_fw-la svo_fw-la libro_fw-la in_fw-la laudem_fw-la numerorum_n principium_fw-la rerum_fw-la numerus_fw-la perfectio_fw-la sinis_fw-la is_n sapiens_fw-la doctè_fw-la qui_fw-la numerare_fw-la potest_fw-la coelum_fw-la scrutatur_fw-la terram_fw-la metitur_fw-la averni_fw-la inquirit_fw-la lasebras_fw-la ambit_fw-la &_o oceanum_fw-la i_o modo_fw-la parue_v libre_fw-la numerorum_fw-la nubila_fw-la pande_fw-la innumeros_fw-la olim_fw-la quae_fw-la latuere_fw-la viros_fw-la nec_fw-la clausa_fw-la accedunt_fw-la quin_fw-la omnibus_fw-la obuia_fw-la prostant_fw-la quae_fw-la nunquam_fw-la scriptis_fw-la docta_fw-la fuere_fw-la prius_fw-la saepius_fw-la ergo_fw-la legas_fw-la mysteria_fw-la magna_fw-la docentur_fw-la seu_fw-la sacra_fw-la exopte_n ethnica_fw-la sive_fw-la magis_fw-la in_o zoilum_n haec_fw-la qui_fw-la non_fw-la call_v ne_fw-la turpibus_fw-la excipe_fw-la sannis_fw-la est_fw-la stolidi_fw-la ignotos_fw-la carpere_fw-la velle_fw-la libros_fw-la si_fw-mi veâ—_n o_o dubitas_fw-la quasi_fw-la non_fw-la sum_fw-la vera_fw-la locutus_fw-la adsis_fw-la soluentur_fw-la scrupea_n tota_fw-la tibi_fw-la franciscus_n neale_n eqve_n auratus_n *_o âŽ_o *_o fama_fw-la tui_fw-la illustris_fw-la praecellens_fw-la nominis_fw-la istud_fw-la rebus_fw-la in_o adversis_fw-la robur_fw-la constantia_fw-la virtus_fw-la appellant_n steriles_fw-la nostras_fw-la francisce_n camconas_fw-la nostra_fw-la patrocinio_fw-la protegas_fw-la monumenta_fw-la tuique_fw-la conserve_n nomen_fw-la millena_fw-la in_o saecula_fw-la vatis_fw-la inuidus_fw-la allatret_fw-la nae_fw-la quisquam_fw-la murmur_n momus_n sibilet_fw-la aut_fw-la anguis_fw-la sinuoso_fw-la corpore_fw-la serpens_fw-la carmina_fw-la sic_fw-la incult_v foras_fw-la audaciùs_fw-la ibunt_fw-la vnum_fw-la sic_fw-la mea_fw-la musa_fw-la tuum_fw-la implorabit_fw-la asylum_fw-la solis_fw-la ut_fw-la aspicimus_fw-la lucem_fw-la surgentis_fw-la eôs_fw-la naturam_fw-la ingenium_fw-la candorem_fw-la abs_fw-la indole_fw-la novi_fw-la es_fw-ge patri_fw-la similis_fw-la tribus_fw-la his_fw-la sunt_fw-la cetera_fw-la matris_fw-la accedunt_fw-la aliae_fw-la coniunctae_fw-la nomine_fw-la dote_v laudant_fw-la quas_fw-la multi_fw-la sed_fw-la pauci_fw-la imitantur_fw-la ut_fw-la omnes_fw-la egregios_fw-la equites_fw-la inter_fw-la ceu_fw-la stella_fw-la coruscas_fw-la honour_n coniux_fw-la eius_fw-la hiccine_fw-la relligionis_fw-la amor_fw-la non_fw-la dignus_fw-la honore_fw-la est_fw-la over_o deum_fw-la celebrans_fw-la confessio_fw-la viva_fw-la fidésque_fw-la nomine_fw-la cum_fw-la vestro_fw-la cumque_fw-la omine_fw-la non_fw-la quadrat_fw-la aptè_fw-la opergas_fw-la seruire_fw-la deo_fw-la heröina_fw-la pudica_fw-la relligio_fw-la have_v tibi_fw-la donet_fw-la opes_fw-la scandas_fw-la ut_fw-la olympum_fw-la nullus_fw-la vel_fw-la phydias_n melius_fw-la vel_fw-la pingat_fw-la apelles_n est_fw-la speculo_fw-la nullo_n facies_fw-la formosior_fw-la ulla_fw-la aurea_fw-la quam_fw-la tua_fw-la tepietas_fw-la quà m_fw-la candour_n adornant_fw-la lux_fw-la solis_fw-la calida_fw-la est_fw-la non_fw-la est_fw-la nisi_fw-la lucida-luna_a est_fw-la venus_n in_o speculo_fw-la magè_fw-fr fulgida_fw-la quà m_fw-la venus_n ipsa_fw-la to_o the_o right_n worthy_a and_o worshipful_a knight_n sr_n francis_n neale_n one_o of_o his_o m_n aty_n justice_n of_o peace_n in_o the_o county_n of_o south_n *_o âŽ_o *_o to_o who_o may_v i_o better_o dedicate_v this_o book_n of_o number_n then_o to_o yourself_o who_o have_v be_v train_v up_o in_o the_o art_n of_o number_v even_o from_o your_o infancy_n i_o speak_v it_o to_o your_o deserve_a praise_n and_o commendation_n many_o go_v beyond_o you_o in_o the_o theoric_n but_o few_o or_o none_o in_o the_o practic_n i_o can_v wish_v that_o some_o man_n can_v not_o arithmetize_v and_o merchandise_n so_o well_o as_o they_o do_v who_o while_o they_o number_v their_o wealth_n their_o wit_n their_o learning_n their_o office_n their_o dignity_n their_o cattle_n their_o land_n their_o rent_n their_o money_n the_o better_a part_n of_o their_o life_n vanish_v away_o this_o be_v a_o fruitless_a and_o careless_a kind_n of_o number_v it_o be_v say_v that_o the_o athenian_n notable_a speculative_n but_o bad_a practic_n have_v money_n to_o number_v only_o what_o do_v man_n nou-a-day_n but_o continual_o hoard_v up_o god_n blessing_n to_o number_v they_o and_o yet_o when_o they_o have_v make_v their_o total_a account_n they_o can_v never_o attain_v to_o the_o art_n of_o true_a number_v to_o wean_v therefore_o the_o world_n in_o what_o i_o may_v from_o so_o sordidous_a and_o preposterous_a a_o kind_n of_o arithmetic_n i_o have_v compile_v this_o work_n treat_v of_o the_o secret_n of_o number_n contrary_a to_o the_o practice_n of_o our_o common_a arithmetician_n as_o the_o two_o zone_n be_v distant_a the_o one_o from_o the_o other_o wish_v they_o that_o among_o so_o many_o theological_a arithmetical_a geometrical_a and_o harmonical_a number_n here_o set_v down_o they_o will_v think_v on_o one_o more_o excellent_a which_o be_v to_o number_v their_o day_n which_o to_o do_v in_o one_o word_n be_v no_o otherwise_o then_o to_o take_v something_o from_o the_o pleasure_n of_o the_o world_n which_o they_o have_v greedy_o pursue_v by_o way_n of_o subtraction_n and_o to_o add_v so_o much_o to_o godly_a endeavour_n neglect_v by_o they_o by_o way_n of_o multiplication_n for_o the_o time_n be_v short_a we_o spend_v in_o virtue_n but_o long_o which_o we_o consume_v in_o vice_n there_o be_v no_o arithmetic_n comparable_a to_o this_o wherefore_o pythagoras_n reduce_v all_o thing_n into_o number_n make_v his_o triplicity_n of_o perfection_n in_o the_o end_n conclude_v thus_o si_fw-mi recta_fw-la ratione_fw-la vixeris_fw-la male_a acta_fw-la dolendo_fw-la et_fw-la bene_fw-la acta_fw-la gaudendo_fw-la deosque_fw-la oraveris_fw-la ut_fw-la opus_fw-la tuum_fw-la perficiant_fw-la tum_fw-la exuto_fw-la corpore_fw-la profectus_fw-la in_o aetherem_fw-la eris_fw-la immortalis_fw-la deus_fw-la i_o do_v persuade_v myself_o that_o after_o you_o have_v read_v this_o book_n at_o vacant_a hour_n you_o will_v be_v a_o better_a pythagorean_n than_o ever_o you_o be_v or_o at_o least_o by_o turn_v over_o god_n book_n as_o many_o time_n you_o do_v you_o will_v not_o forget_v this_o one_o lesson_n recordare_fw-la novissima_fw-la tua_fw-la et_fw-la in_o aeternum_fw-la non_fw-la peccabis_fw-la pythagoras_n in_o all_o his_o life-time_n for_o all_o his_o number_n learn_v not_o this_o lesson_n but_o solomon_n wise_a than_o he_o do_v for_o that_o some_o thing_n here_o may_v be_v above_o your_o capacity_n and_o require_v more_o than_o a_o delian_a swimmer_n for_o the_o search_n of_o their_o bottom_n i_o will_v not_o have_v you_o blame_v i_o altogether_o for_o as_o in_o other_o tractate_v i_o have_v labour_v to_o instruct_v the_o unlearned_a only_o so_o in_o this_o i_o have_v do_v my_o best_a endeavour_n to_o satisfy_v both_o the_o learned_a and_o unlearned_a with_o equal_a contentment_n we_o must_v consider_v we_o live_v in_o a_o world_n of_o learning_n and_o it_o be_v in_o read_v of_o book_n as_o it_o be_v in_o banquet_v not_o only_o gross_a and_o simple_a viand_n but_o the_o most_o dainty_a 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number_n of_o revenge_n the_o number_n of_o repentance_n the_o number_n of_o beatitude_n express_v by_o the_o poet_n o_o terque_fw-la quaterque_fw-la beati_fw-la last_o it_o be_v the_o number_n of_o the_o psalm_n of_o penitence_n four_o because_o of_o his_o compositure_n for_o it_o be_v compound_v of_o one_o and_o 6_o two_o and_o five_o or_o three_o and_o four_o now_o every_o one_o of_o these_o be_v excellent_a of_o themselves_o as_o have_v be_v remonstrate_v how_o can_v this_o number_n be_v but_o far_o more_o excellent_a consist_v of_o they_o all_o and_o participate_v as_o it_o be_v of_o all_o their_o excellent_a virtue_n i_o let_v pass_v many_o mo_z reason_n cite_v by_o macrobius_n phylo_n and_o other_o to_o prove_v his_o excellency_n content_v myself_o with_o a_o few_o of_o the_o better_a sort_n bythagâ—â—as_n call_v this_o number_n vinculum_fw-la humana_fw-la aquavitae_fw-la cicero_n rerum_fw-la omnium_fw-la modum_fw-la as_o that_o it_o shall_v link_v and_o tie_v all_o thing_n together_o by_o a_o indissoluble_a knot_n or_o confederacy_n if_o i_o will_v run_v over_o all_o that_o have_v be_v write_v touch_v his_o excelleneie_n by_o ancient_a writer_n i_o shall_v scarce_o comprehend_v they_o in_o one_o volume_n be_v therefore_o the_o most_o great_a most_o excellent_a most_o divine_a most_o perfect_a of_o all_o other_o his_o extendure_n must_v needs_o be_v answerable_a to_o the_o rest_n there_o be_v seven_o wonder_n of_o the_o world_n seven_o wife_n man_n of_o greece_n seven_o city_n contend_v for_o the_o bone_n of_o homer_n there_o be_v seven_o suspicion_n the_o great_a and_o lesser_a make_v in_o the_o heaven_n the_o heaven_n be_v engyrt_v with_o seven_o circle_n there_o be_v seven_o erratical_a star_n that_o which_o we_o call_v ersa_fw-la maior_fw-la be_v compass_v with_o seven_o star_n the_o assembly_n of_o pleyade_n be_v compose_v of_o seven_o star_n seven_o of_o they_o be_v see_v there_o be_v seven_o change_n of_o voice_n seven_o physical_a and_o natural_a move_n seven_o