Selected quad for the lemma: friend_n

Word A	Word B	Word C	Word D	Occurrence	Frequency Band	MI	MI Band	Prominent
friend_n	wont_a	world_n	year_n	13	3	3.9740	3	false

Text snippets containing the quad

ID	Title	Author	Corrected Date of Publication (TCP Date of Publication)	STC	Words	Pages
A20103	Grammelogia, or, The mathematicall ring extracted from the logarythmes, and projected circular : now published in th[e] inlargement thereof unto any magnitude fit for use, shewing any reasonable capacity that hath not arithmeticke, how to resolve and worke, all ordinary operations of arithmeticke : and those that are most difficult with greatest facilitie, the extract on of rootes, the valuation of leases, &c. the measuring of plaines and solids, with the resolution of plaine and sphericall triangles applied to the practicall parts of geometrie, horo[l]ogographic, geographie, fortification, navigation, astronomie, &c, and that onely by an ocular inspection, and a circular motion / invented an[d] first published, by R. Delamain, teacher, and student of the mathematicks.	Delamain, Richard, fl. 1631.	1630 (1630)	STC 6543; ESTC S763	85,409	123

present_a if_o it_o be_v to_o be_v receive_v 7._o year_n hence_o facit_fw-la 156._o li._n 6_o 10._o and_o so_o much_o be_v the_o say_a lease_n of_o 40._o li._n per_fw-la annum_fw-la worth_n which_o be_v to_o begin_v 7._o year_n hence_o and_o then_o to_o continue_v unto_o 10._o year_n thus_o i_o may_v have_v go_v further_o in_o those_o matter_n but_o i_o intend_v not_o to_o be_v large_a in_o this_o tract_n only_o show_v what_o weighty_a and_o difficult_a matter_n in_o this_o kind_n by_o the_o grammelogia_n or_o mathematical_a ring_n may_v be_v easy_o and_o speedy_o resolve_v conclusion_n if_o there_o be_v compose_v three_o circle_n of_o equal_a thickness_n a._n b._n c._n so_o that_o the_o inner_a edge_n of_o d_o and_o the_o outward_a edge_n of_o ●_o be●_n answerable_o graduate_v with_o logarithmall_a sign_n and_o the_o outward_a edge_n of_o b_o and_o the_o inner_a edge_n of_o a_o with_o logarithme_n and_o then_o on_o the_o backside_n be_v graduate_v the_o logarithmall_a tangent_n and_o again_o the_o logarithmall_a sign_n opposit_o to_o the_o former_a graduation_n it_o shall_v be_v fit_v for_o the_o resolution_n of_o plain_a and_o spherical_a triangle_n example_n example_n so_o if_o you_o move_v the_o sign_n of_o 90._o degree_n unto_o the_o tropical_a point_n in_o the_o fix_a you_o have_v the_o declination_n of_o any_o degree_n of_o the_o ecliptic_a only_o by_o a_o ocular_a inspection_n for_o right_a against_o the_o sun_n longitude_n in_o the_o movable_a among_o the_o sign_n be_v the_o sun_n declination_n in_o the_o fix_a again_o in_o the_o 〈◊〉_d of_o tangent_n if_o you_o bring_v the_o compliment_n of_o any_o latitude_n in_o the_o movable_a to_o 45._o in_o the_o fix_a you_o may_v at_o one_o instant_a have_v the_o time_n of_o sun_n rise_v or_o sun_n set_v for_o any_o declination_n require_v in_o that_o latitude_n for_o right_a against_o the_o tangent_fw-la of_o the_o sans_o declination_n you_o have_v the_o fine_a of_o the_o sun_n ascentionall_a difference_n and_o in_o 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britain_n france_n and_o ireland_n defender_n of_o the_o faith_n etc._n etc._n to_o all_o our_o love_a subject_n who_o it_o may_v concern_v greeting_n whereas_o richard_n delamain_n teacher_n of_o the_o mathematics_n have_v present_v unto_o we_o a_o instrument_n call_v grammelogia_n or_o the_o mathematical_a ring_n together_o with_o a_o book_n so_o entitle_v express_v the_o use_n thereof_o be_v his_o own_o invention_n we_o of_o our_o gracious_a and_o princely_a favour_n have_v grant_v unto_o the_o say_v richard_n delamain_n and_o his_o assign_n privilege_n licence_n and_o authority_n for_o the_o sole_a make_v printing_n and_o sell_v of_o the_o say_a instrument_n and_o book_n straight_o forbid_v any_o other_o to_o make_v imprint_v or_o sell_v or_o cause_n to_o be_v make_v or_o imprint_v or_o sell_v the_o say_a instrument_n or_o book_n within_o any_o our_o dominion_n during_o the_o space_n of_o ten_o year_n next_o ensue_v the_o date_n hereof_o upon_o pain_n of_o our_o high_a displeasure_n give_v under_o our_o hand_n and_o signet_n at_o our_o palace_n of_o westminster_n the_o four_o day_n of_o january_n in_o the_o six_o year_n of_o our_o reign_n upon_o his_o ring_n as_o in_o a_o secret_a circle_n wrap_v lie_v nature_n mystery_n which_o time_n bring_v forth_o &_o industry_n make_v plain_a to_o all_o man_n eye_n so_o that_o what_o erst_o be_v hard_a to_o find_v at_o length_n be_v wrought_v with_o ease_n rule_n of_o proportion_n the_o root_n extraction_n and_o these_o with_o ocular_a inspection_n now_o also_o triangle_n plain_a and_o spherical_a for_o question_n soon_o a_o answer_n to_o obtain_v that_o it_o make_v art_n laugh_v his_o quickness_n to_o see_v then_o use_v this_o ring_n the_o circle_n where_o hide_v art_n lie_v now_o themselves_o discover_v if_o after_o time_n shall_v seek_v more_o ease_n than_o in_o this_o easiness_n by_o instrument_n he_o make_v art_n lame_a with_o ease_n great_a excess_n by_o a_o friend_n the_o egyptian_a sage_n who_o be_v wont_a to_o sing_v in_o the_o hiroglyphick_n their_o philosophy_n portray_v the_o year_n in_o semblance_n of_o a_o ring_n cause_v so_o the_o year_n round_o in_o itself_o do_v lie_v thy_o mathematic_a ring_n be_v more_o profound_a a_o world_n of_o art_n lie_v in_o that_o little_a round_n finis_fw-la to_o the_o reader_n now_o by_o way_n of_o advertisement_n to_o the_o reader_n in_o this_o circular_a projection_n of_o logarithme_n you_o may_v make_v use_n of_o the_o projection_n of_o the_o circle_n of_o the_o ring_n upon_o a_o plain_a have_v the_o foot_n of_o a_o pair_n of_o compass_n but_o so_o that_o they_o be_v flat_a to_o move_v on_o the_o centre_n of_o that_o plain_a and_o those_o foot_n to_o open_a and_o shut_v as_o a_o pair_n of_o compass_n which_o some_o call_v a_o sector_n abusive_o now_o if_o the_o foot_n be_v open_v to_o any_o two_o term_n or_o number_n in_o that_o projection_n then_o may_v you_o move_v the_o first_o foot_n to_o the_o three_o number_n and_o the_o other_o foot_n shall_v give_v the_o answer_n and_o so_o move_v those_o foot_n along_o circular_o as_o one_o foot_n pass_v by_o any_o number_n in_o the_o projection_n the_o other_o foot_n shall_v show_v his_o proportional_a number_n in_o that_o projection_n it_o have_v please_v some_o to_o make_v use_n of_o this_o way_n but_o in_o this_o there_o be_v a_o double_a labour_n in_o respect_n of_o that_o of_o the_o ring_n the_o one_o in_o fit_v those_o foot_n unto_o the_o number_n assign_v and_o the_o other_o by_o move_v they_o about_o in_o which_o a_o man_n can_v hardly_o accomdate_v the_o instrument_n with_o one_o hand_n and_o express_v the_o proportional_n in_o write_v with_o the_o other_o by_o the_o ring_n you_o need_v not_o but_o bring_v one_o number_n to_o another_o and_o right_a against_o any_o other_o number_n be_v his_o answer_n without_o any_o such_o motion_n but_o this_o or_o the_o former_a i_o leave_v to_o such_o as_o shall_v best_o affect_v they_o only_o the_o latter_a for_o construction_n i_o 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to_o the_o learner_n to_o fit_a and_o acquaint_v he_o how_o with_o promptness_n to_o conceive_v of_o opposite_a number_n in_o the_o answer_n of_o question_n follow_v first_o to_o examine_v the_o circle_n of_o number_n bring_v any_o number_n in_o the_o movable_a to_o half_n of_o that_o number_n in_o the_o fix_a so_o any_o number_n or_o part_n in_o the_o fix_a shall_v give_v his_o double_a in_o the_o movable_a and_o so_o may_v you_o try_v of_o the_o three_o fourth_n &c._n &c._n of_o number_n vel_fw-la contra_fw-la 2._o bring_v 2._o in_o the_o movable_a unto_o 3._o in_o the_o fix_a so_o against_o 3._o in_o the_o movable_a be_v 4._o and_o 5._o ten_o in_o the_o fix_a against_o 4._o and_o 5._o ten_o in_o the_o movable_a be_v 6._o and_o 75._o 100_o in_o the_o fix_a and_o so_o may_v you_o go_v on_o in_o try_v the_o division_n of_o the_o circle_n of_o number_n in_o continual_a

the_o angle_n a_o b_o d._n 1●2_n gr_n 31._o m._n that_o be_v to_o the_o sine_fw-la of_o the_o compliment_n of_o that_o angle_n viz._n 17._o gr_n 29._o m._n in_o the_o fix_a so_o right_a against_o 20._o in_o the_o movable_a among_o the_o number_n be_v 54._o chain_n and_o 93._o 100_o the._n in_o the_o fix_a which_o in_o foot_n be_v 3625._o and_o 6._o ten_o and_o so_o far_o it_o be_v from_o the_o eye_n at_o a_o to_o the_o top_n of_o the_o hill_n at_o d._n three_o in_o the_o rectangled_a triangle_n a_o h_n d_o knowing_z as_o afore_o say_v the_o angle_n d_o a_o h_o 15._o gr_n 55._o m._n by_o the_o second_o theorem_a page_n 64._o all_o the_o other_o angle_n be_v know_v viz._n a_o d_o h_o 74._o gr_n 4._o m._n a_o h_n d_o 90._o and_o see_v by_o the_o last_o work_n that_o a_o d_o be_v find_v to_o be_v 54._o chain_n and_o 93_o 100th_n the_o other_o part●_n of_o the_o triangle_n by_o the_o afore_o say_v axiom_n will_v be_v likewise_o know_v for_o the_o instrument_n not_o remove_v the_o sine_fw-la of_o 90._o be_v against_o the_o sine_fw-la of_o 15._o gr_n 55._o m._n and_o right_o against_o 54._o and_o 93._o 100th_n be_v 15._o chain_n and_o 07._o 100th_n of_o a_o chain_n which_o by_o page_n the_o nine_o make_v 995._o foot_n the_o high_n of_o the_o hill_n in_o like_a manner_n may_v you_o find_v the_o other_o side_n of_o the_o triangle_n viz._n a_o h_n that_o be_v from_o the_o eye_n under_o the_o top_n of_o the_o hill_n viz._n 52._o chain_n and_o 82_o hunderth_n or_o 3486._o foot_n and_o 4._o ten_o four_o in_o the_o oblique_a triangle_n a_o b_o c._n all_o the_o angle_n be_v know_v as_o afore_o with_o the_o side_n a_o b_o and_o therefore_o the_o side_n b_o c_o will_v be_v find_v to_o be_v 32._o chain_n or_o 2113._o foot_n five_o in_o the_o rect_a angle_a triangle_n b_o y_fw-fr c_o the_o angle_n c_o b_o y_fw-fr be_v former_o known●_n to_o be_v 16._o gr_n 45._o m._n the_o compliment_n of_o which_o be_v the_o angle_n b_o c_o y._n 73._o gr_n 15._o m._n and_o the_o side_n c_o b_o be_v former_o find_v to_o be_v 32._o chain_n therefore_o by_o afore_o say_v first_o axiom_n of_o plain_a triangle_n the_o other_o side_n of_o the_o triangle_n viz._n b_o y._n will_v be_v find_v to_o be_v 30._o chain_n and_o 65._o hunderth_n or_o 2023._o foot_n and_o 3_o ten_o and_o the_o side_n c_o y._n to_o be_v 9_o chain_n and_o 23_o hunderth_n or_o 608._o foot_n and_o 9_o ten_o six_o seeing_z b_o x._o be_v equal_a unto_o you_o q._n unto_o the_o say_v c_o y._n 608._o foot_n and_o 9_o tinth_n add_v b_o x._o former_o find_v viz._n 108._o foot_n and_o 9_o tinth_n make_v q_o c._n 717._o foot_n and_o 8._o ten_o but_o this_o q_o c._n be_v equal_a to_o h_n r._n which_o take_v from_o the_o high_n of_o the_o whole_a hill_n d_o h_n viz._n 995._o foot_n leaf_n d_o r._n 277._o foot_n and_o 2._o ten_o the_o depth_n of_o the_o well_o seven_o for_o as_o much_o as_o b_o y_z be_v find_v to_o be_v 2023._o foot_n and_o 3._o ten_o which_o be_v equal_a to_o x_o q_o and_o a_o x_o be_v as_o before_o 1315._o foot_n 5._o ten_o those_o two_o put_v together_o make_v a_o q_o 3338._o foot_n and_o 8._o ten_o which_o take_v from_o a_o h_n which_o be_v former_o find_v to_o be_v 3486._o foot_n 4._o ten_o leaf_n q_o h._n 147._o foot_n 6._o ten_o which_o be_v equal_a to_o c_o r._n the_o distance_n between_o the_o spring_n c_o and_o the_o bottom_n of_o the_o well_o r._n eight_o and_o last_o know_a d_o r._n 277._o foot_n and_o 2._o ten_o and_o c_o r_o 147._o foot_n and_o 6._o ten_o c_o d_o be_v find_v to_o be_v 313._o and_o 8._o ten_o according_a to_o the_o first_o proposition_n page_n 19th_n the_o example_n be_v the_o same_o with_o the_o second_o proposition_n thus_o for_o the_o instrumental_a way_n such_o as_o desire_v to_o examine_v the_o work_n by_o number_n may_v proceed_v by_o the_o note_n here_o under_o specify_v in_o trianguli_fw-la axb_fw-la data_fw-la bax_n 4._o gr_n 44._o m._n quaeritur_fw-la a_o x._o 1315._o &_o 5._o 10th_n a_o b._n 1320._o b_o x._o 108._o and_o 9_o 10th_n abdella_n a_o b._n 1320._o a_o d._n 3625._o &_o 6._o 10th_n b_o a_o d._n 11._o gr_n 11._o m._n 43._o s._n abdella_n 162._o gr_n 31._o m._n 45._o s._n and_o d_o a_o h._n 15_o gr_n 55._o m_o 43._o s._n d_o h._n 995._o a_o d._n 3625._o and_o 6._o 10th_n a_o h._n 3486._o &_o 4._o 10th_n abc_n c_o a_o b._n 7._o gr_n 24._o m._n b_o c._n 2113._o a_o b_o c._n 167._o gr_n 59_o a_o b._n 1320._o c_o b_o y._n 16._o gr_n 45._o m._n b_o y._n 2023._o &_o 3._o 10th_n b_o c._n 2113._o c_o y._n 608._o &_o 9_o 10th_n crd_o r_z d._n 227._o and_o 2._o ten_o c_o d._n 383._o &_o 8._o 10_o c_o r._n 147._o and_o 6._o ten_o upon_o his_o ring_n as_o in_o a_o secret_a circle_n wrap_v lie_v nature_n mystery_n which_o time_n bring_v forth_o and_o industry_n make_v plain_a to_o all_o man_n eye_n so_o that_o what_o erst_o be_v hard_a to_o find_v at_o length_n be_v wrought_v with_o ease_n rule_n of_o proportion_n the_o root_n extraction_n and_o the●e_n with_o ocular_a inspection_n now_o also_o triangle_n plain_a and_o spherical_a for_o question_n soon_o a_o answer_n to_o obtain_v that_o it_o make_v art_n laugh_v his_o quickness_n to_o see_v then_o use_v this_o ring_n the_o circle_n where_o hide_v art_n lie_v now_o themselves_o discover_v if_o after_o time_n shall_v seek_v more_o ease_n than_o in_o this_o easiness_n by_o instrument_n he_o make_v art_n lame_a with_o ease_n great_a excess_n by_o a_o friend_n the_o egyptian_a sage_n who_o be_v wont_a to_o sing_v in_o the_o hiroglyphick_n their_o philosophy_n portray_v the_o year_n in_o semblance_n of_o a_o ring_n cause_v so_o the_o year_n round_o in_o itself_o do_v lie_v thy_o mathematic_a ring_n be_v more_o profound_a a_o world_n of_o art_n lie_v in_o little_a round_n finis_fw-la delamain_n in_o circularem_fw-la logdrythmorum_fw-la projectionem_fw-la adauctam_fw-la ut_fw-la in_fw-la sine_fw-la libri_fw-la anno._n 1630._o praelo_fw-la commissi_fw-la promissum_fw-la erat_fw-la viam_fw-la demonstantem_fw-la qua_fw-la continua_fw-la circulorum_fw-la decuplatione_fw-la aut_fw-la alio_fw-la modo_fw-la adhuc_fw-la magis_fw-la augeatur_fw-la ita_fw-la ut_fw-la operationes_fw-la trigonometricae_n fiant_fw-la ad_fw-la minuta_fw-la numerique_fw-la proportionales_fw-la &_o radices_fw-la dentur_fw-la ad_fw-la quinque_fw-la aut_fw-la sex_n locos_fw-la idque_fw-la motu_fw-la circulari_fw-la &_o tantum_fw-la oculari_fw-la inspectione_n how_o to_o operate_v in_o the_o find_n of_o proportional_o by_o my_o logarythmall_a projection_n of_o circle_n enlarge_v either_o by_o a_o mooveable_a and_o fix_a circle_n or_o by_o a_o single_a projection_n with_o a_o index_n at_o the_o peripheria_fw-la or_o centre_n the_o way_n of_o operation_n be_v draw_v from_o the_o nature_n of_o proportional_a logarythme_n that_o as_o they_o keep_v equal_a difference_n so_o in_o a_o lineary_a or_o circular_a instrumental_a projection_n of_o these_o logarythme_n proportional_a number_n shall_v always_o have_v equal_a distance_n which_o as_o a_o fundamental_a ground_n may_v serve_v to_o the_o more_o learned_a both_o for_o a_o full_a demonstration_n and_o direction_n in_o operation_n but_o to_o make_v thing_n more_o obvious_a &_o to_o remove_v such_o scruple_n as_o may_v arise_v in_o work_v by_o this_o projection_n the_o number_v ●f_o the_o circle_n especial_o be_v to_o be_v consider_v that_o be_v either_o by_o augmentation_n or_o diminution_n in_o continuation_n or_o discontinuation_n and_o th●●●ath_v relation_n to_o the_o line_n of_o conjunction_n e._n t._n which_o show_v the_o breach_n of_o the_o circle_n or_o the_o unite_n or_o continue_v of_o the_o part_n which_o multiplicity_n of_o circle_n must_v be_v conceive_v to_o be_v but_o the_o part_n of_o one_o circle_n as_o before_o ample_o in_o the_o epistle_n to_o the_o reader_n be_v specify_v touch_v this_o projection_n and_o so_o continue_v or_o discontinue_v by_o ascend_v or_o descend_v on_o this_o or_o that_o side_n of_o the_o line_n of_o conjunction_n as_o by_o the_o succession_n of_o the_o graduation_n or_o division_n in_o those_o circle_n be_v most_o evident_a and_o conspicuous_a this_o well_o premise_a const●uctio_fw-la bring_v the_o first_o number_n in_o the_o mooveable_a to_o the_o second_o n●mber_n in_o the_o fix_a and_o mark_v the_o several_a revolution_n or_o circle_n between_o they_o ascend_v or_o descend_v for_o then_o the_o four_o proportional_a be_v have_v on_o the_o fix_a right_a against_o the_o three_o number_n in_o the_o mooveable_a by_o the_o same_o number_n of_o revolution_n or_o circle_n ascend_v or_o descend_v as_o be_v between_o the_o first_o and_o second_o number_n so_o if_o the_o line_n of_o conjunction_n on_o the_o mooveable_a be_v on_o the_o right_n or_o

mirifica_fw-la logarithmorun_n projectio_fw-la circularis_fw-la nil_fw-la finis_fw-la motus_n circulus_n vllus_n habet_fw-la grammelogia_n or_o the_o mathematical_a ring_n extract_v from_o the_o logarythme_n and_o project_v circular_a now_o publish_v in_o t●_n enlargement_n thereof_o unto_o any_o magnitude_n fit_a for_o use_v show_v any_o reasonable_a capacity_n that_o have_v not_o arithmetic_n how_o to_o resolve_v and_o work_v all_o ordinary_a operation_n of_o arithmetic_n and_o those_o that_o be_v most_o difficult_a with_o great_a facility_n the_o extraction_n of_o root_n the_o valuation_n of_o lease_n etc._n etc._n the_o measure_n of_o plain_n and_o solid_n with_o the_o resolution_n of_o plain_a and_o spherical_a triangle_n apply_v to_o the_o practical_a part_n of_o geometry_n horo●ogographie_n geographie_n fortification_n navigation_n astronomy_n etc._n etc._n and_o that_o only_o by_o a_o ocular_a inspection_n an●_n a_o circular_a motion_n invent_v an●_n first_o publish_v by_o r._n delamain_n teacher_n an●_n student_n of_o the_o mathematics_n naturae_fw-la secreta_fw-la tempus_fw-la ●aperit_n typus_fw-la proiectionis_fw-la annuli_fw-la adaucti_fw-la ut_fw-la in_o conclusione_n lybri_fw-la praelo_fw-la commissi_fw-la anno_fw-la 1630_o promisi_fw-la to_o the_o high_a and_o mighty_a king_n charles_n king_n of_o great_a britain_n dread_a sovereign_n have_v not_o your_o gracious_a favour_n give_v life_n unto_o my_o first_o birth_n i_o shall_v not_o have_v dare_v thus_o bold_o to_o rush_v into_o your_o sacred_a presence_n but_o only_o in_o humble_a confidence_n i_o be_o encourage_v that_o as_o your_o gracious_a majesty_n please_v to_o accept_v of_o my_o imperfect_a endeavour_n the_o same_o bless_a eye_n will_v not_o now_o reject_v that_o work_n bring_v to_o its_o full_a growth_n and_o perfection_n it_o be_v the_o great_a invention_n of_o that_o noble_a lo._n nepeir_n baron_n of_o marcheston_n his_o ever-worthy_o admire_a discovery_n of_o the_o logarythme_n in_o cut_v off_o the_o toilsome_a work_n by_o sines_n tangenis_n secant_v etc._n etc._n my_o pain_n former_o be_v conversant_a about_o to_o bring_v they_o likewise_o into_o a_o short_a way_n for_o practical_a use_n by_o a_o instrumental_a projection_n of_o these_o number_n in_o circle_n of_o which_o i_o compose_v my_o mathematical_a ring_n every_o thing_n have_v his_o beginning_n and_o curious_a art_n seldom_o come_v to_o the_o height_n at_o the_o first_o it_o be_v my_o promise_n then_o to_o enlarge_v the_o invention_n by_o a_o way_n of_o decuplate_v the_o circle_n which_o i_o now_o present_a unto_o your_o sacred_a majesty_n as_o the_o quintessence_n and_o excellency_n there_o of_o whereby_o mathematical_a operation_n which_o tend_v to_o ordinary_a and_o usual_a affair_n and_o such_o of_o a_o high_a nature_n be_v perform_v accurat_o without_o tedious_a extraction_n of_o root_n operate_n by_o natural_a sin_n tangent_n secant_v or_o the_o table_n of_o logarythme_n themselves_o and_o that_o by_o a_o 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ring_n yet_o here_o enclose_v not_o one_o year_n work_n you_o see_v but_o what_o without_o it_o scarce_o be_v do_v in_o three_o the_o same_o to_o the_o inventor_n of_o the_o logarythme_n project_v in_o circle_n none_o ever_o in_o circle_n find_v a_o end_n they_o say_v or_o see_v begin_v where_o about_o it_o lay_v how_o be_v there_o then_o by_o thou_o begin_v find_v of_o that_o which_o in_o itself_o be_v perfect_a round_n and_o yet_o only_o to_o prove_v the_o say_n true_a some_o do_v deny_v it_o be_v find_v out_o by_o you_o so_o will_v have_v no_o beginning_n if_o their_o own_o the_o ancient_a axiom_n still_o be_v overthrow_v but_o if_o it_o be_v not_o thou_o how_o dare_v thou_o say_v thou_o will_v augment_v the_o same_o another_o day_n which_o day_n be_v come_v and_o now_o that_o be_v decuplate_v which_o single_a be_v before_o thus_o it_o be_v thy_o fate_n still_o to_o increase_v thy_o error_n and_o of_o one_o make_v ten_o to_o show_v thy_o good_a invention_n look_v to_o it_o if_o one_o have_v breed_v so_o much_o ado_n it_o be_v ten_o to_o one_o this_o will_v be_v challenge_v too_o well_o guilty_a be_v thou_o first_o of_o this_o law_n breach_n and_o for_o thy_o fault_n this_o censure_n shall_v thou_o teach_v that_o though_o beginning_n thou_o to_o this_o do_v lend_v yet_o of_o its_o copious_a use_n thou_fw-mi never_o find_v end_n by_o a_o lover_n and_o student_n in_o the_o mathematical_a arts._n thrice_o noble_a nepier_n by_o his_o learned_a strain_n invent_v profound_a number_n with_o great_a pain_n from_o whence_o rare_a projection_n do_v arise_v that_o praise_v their_o author_n who_o do_v they_o devise_v which_o now_o again_o anew_o this_o instrument_n do_v those_o his_o number_n quick_o represent_v and_o as_o the_o orb_n by_o motion_n always_o show_v divers_a apparence_n which_o still_o be_v new_a so_o infinite_a performance_n thereby_o be_v point_v also_o out_o unto_o the_o eye_n in_o multiplication_n division_n and_o beside_o it_o make_v you_o how_o to_o understand_v to_o find_v out_o mean_a proportional_o that_o so_o you_o may_v by_o sight_n of_o it_o proportion_n know_v beside_o all_o this_o which_o be_v a_o thing_n more_o high_a it_o help_v to_o work_v in_o trigonometry_n scorn_v root_n extract_v by_o partition_n or_o gradual_a number_n circuition_n it_o equate_v regular_a figure_n and_o do_v show_v the_o solid_a body_n and_o the_o plain_n also_o give_v their_o side_n and_o perfect_a symmetry_n and_o speedy_o their_o true_a solidity_n their_o circuit_n and_o sphere_n will_v all_o appear_v both_o circumscribe_v and_o inscribe_v here_o their_o diameter_n and_o transmutation_n in_o duplication_n and_o triplication_n and_o as_o the_o logarythme_n do_v at_o first_o exceed_v in_o their_o invention_n all_o that_o do_v proceed_v or_o be_v before_o in_o any_o former_a age_n so_o that_o which_o now_o this_o author_n do_v enlarge_v among_o these_o number_n be_v a_o work_n of_o grace_n by_o expeditious_a use_n for_o future_a race_n in_o weighty_a thing_n much_o to_o delight_v his_o mind_n who_o studious_a be_v the_o practic_a way_n to_o find_v if_o after_o age_n seek_v by_o instrument_n to_o know_v with_o great_a ease_n make_v ease_v excessive_a grow_v in_o mirificam_fw-la logarythmorum_fw-la projectionem_fw-la circularem_fw-la neperum_fw-la meritò_fw-la totus_fw-la mirabitur_fw-la orbis_n qui_fw-la logarythmiaco_n repperit_fw-la arte_fw-la modos_fw-la radicem_fw-la extractam_fw-la dempsit_fw-la tangensque_fw-la secansque_fw-la atque_fw-la sinus_fw-la duram_fw-la difficilemque_fw-la viam_fw-la ritè_fw-la mathematicam_fw-la &_o subitò_fw-la cognoscere_fw-la praxin_fw-la si_fw-mi quis_fw-la amat_fw-la praestant_fw-la organa_n rara_fw-la nova_fw-la rara_fw-la logarythmi_n projectio_fw-la circulus_fw-la isque_fw-la mobilis_fw-la aspectu_fw-la haec_fw-la ardua_fw-la cuncta_fw-la docet_fw-la hîc_fw-la tibi_fw-la cernuntur_fw-la proportio_fw-la recta_fw-la triumque_fw-la regula_n divisi_fw-la &_o multiplicantis_fw-la opus_fw-la hîc_fw-la tibi_fw-la radicum_fw-la est_fw-la extractio_fw-la tracta_fw-la figuris_fw-la corporis_fw-la hîc_fw-la plani_fw-la sic_fw-la solidique_fw-la metron_fw-la analysis_n plani_fw-la tibi_fw-la sphaeratique_a trianglî_fw-la cernitur_fw-la hîc_fw-la praxis_fw-la quamque_fw-la mathesis_n habet_fw-la et_fw-la latet_fw-la hîc_fw-la usus_fw-la quem_fw-la non_fw-la natura_fw-la reclusit_fw-la jllum_fw-la mirificè_fw-la fast_o organa_n adaucta_fw-la docent_fw-la to_o the_o courteous_a and_o benevolent_a reader_n that_o affect_v this_o instrumental_a practice_n of_o the_o logarythme_n project_v circular_a entitle_v grammelogia_n or_o the_o mathematical_a ring_n as_o that_o honourable_a lord_n nepeir_n the_o first_o inventor_n of_o logarythme_n do_v call_v his_o rod_n by_o reason_n of_o their_o facility_n in_o operation_n rabdologia_n the_o speech_n of_o rod_n and_o his_o number_n logarythme_n the_o speech_n of_o number_n so_o this_o instrumental_a projection_n as_o spring_v from_o that_o invention_n i_o call_v grammelogia_n the_o speech_n of_o line_n for_o be_v so_o project_v as_o they_o be_v these_o line_n graduate_v do_v prompt_o teach_v one_o what_o to_o speak_v in_o proportional_a operation_n which_o invention_n of_o projection_n of_o logarythme_n circular_a i_o promise_v to_o