Selected quad for the lemma: book_n

Word A	Word B	Word C	Word D	Occurrence	Frequency Band	MI	MI Band	Prominent
book_n	know_v	see_v	word_n	2,759	5	3.8676	3	true

Text snippets containing the quad

ID	Title	Author	Corrected Date of Publication (TCP Date of Publication)	STC	Words	Pages
A07035	The art of fortification, or architecture militaire as vvell offensiue as defensiue, compiled & set forth, by Samuell Marolois revievved, augmented and corrected by Albert Girard mathematician: & translated out of French into English by Henry Hexam; Opera mathematica. Part 3.	Marolois, Samuel.; Girard, Albert, 1595-1632.; Hexham, Henry, 1585?-1650?	1631 (1631)	STC 17451; ESTC S101439	115,154	146

108._o 120._o 128_o 4_o 7._o 135._o 140._o 144._o 147_o ●_o 11._o 150_o the_o angle_n of_o the_o polig_n 45._o 54._o 60._o 64_o 2_o 7._o 67_o 1_o 2._o 70._o 72._o 73_o 7_o 11._o 75_o the_o half_a 15._o 15._o 15._o 15._o 15._o 15._o 15._o 15._o 15._o sum._n 60._o 69._o 75._o 79_o 2_o 7._o 82_o 1_o 2._o 85._o 87._o 88_o 7_o 11._o 90_o the_o angle_n flank_v remain_v 30._o 39_o 45._o 49_o 2_o 7._o 52_o 1_o 2._o 55._o 57_o 58_o 7_o 11._o 60_o the_o double_a of_o the_o ang_fw-mi 180._o 180._o 180._o 180._o 180._o 180._o 180._o 180_o 180_o the_o flank_n interior_a 150._o 141._o 135._o 130_o 5_o 7._o 127_o 1_o 2._o 125._o 123._o 121_o 4_o 11._o 120_o the_o flank_n exterior_a 15._o 19_o 1_o 2._o 22_o 1_o 2._o 24_o 9_o 14._o 26_o 1_o 4._o 27_o 1_o 2._o 28_o 1_o 2._o 29_o 7_o 22._o 30_o the_o flank_n interior_a 90._o 90._o 90._o 90._o 90._o 90._o 90._o 90._o 90_o 105._o 109_o 1_o 2._o 112_o 1_o 2._o 114_o 9_o 14._o 116_o 1_o 4._o 117_o 1_o 2._o 118_o 1_o 2._o 119_o 1_o 22._o 120_o the_o ang_fw-mi of_o the_o shall_v and_o see_v the_o angle_n flank_v of_o a_o dodecagone_n be_v right_a and_o able_a to_o resist_v a_o battery_n which_o be_v also_o make_v always_o with_o right_a angle_n to_o shake_v the_o more_o the_o face_n of_o the_o bulwark_n one_o must_v fortify_v the_o polygones_n which_o be_v above_o the_o dodecagone_fw-mi with_o a_o right_a angle_n that_o the_o line_n of_o defence_n may_v come_v the_o more_o into_o the_o curtain_n that_o one_o may_v give_v the_o more_o fire_n upon_o it_o but_o the_o polygones_n which_o be_v under_o a_o dodecagone_fw-mi must_v be_v fortify_v according_a to_o the_o precedent_a table_n and_o the_o calculation_n thereof_o shall_v be_v make_v hereafter_o some_o time_n we_o augment_v aswell_o the_o angle_n of_o the_o bulwark_n as_o the_o octogone_n a_o fortress_n with_o 8_o angle_n or_o bulwark_n with_o a_o right_a angle_n and_o those_o above_o be_v always_o right_a &_o those_o under_o diminish_v to_o the_o square_a fortress_n which_o have_v the_o angle_n of_o its_o bulwark_n only_o of_o 60_o degree_n according_a to_o which_o the_o bulwark_n be_v somewhat_o large_a and_o the_o gorge_n and_o flank_n great_a than_o the_o former_a but_o the_o second_o flank_n lesser_a now_o for_o the_o find_v out_o of_o every_o angle_n you_o must_v do_v this_o follow_v where_o you_o may_v observe_v that_o in_o the_o manner_n above_o say_v the_o angle_n flank_v interior_a be_v the_o four_o part_n of_o the_o angle_n flank_v or_o the_o 1_o ●_o of_o the_o angle_n of_o the_o polygone_a four_o v._o vi_o vii_o viii_o the_o angle_n 90._o 108._o 120._o 128_o 4_o 7._o 135._o the_o angle_n of_o the_o polygone_a 60._o 72._o 80._o 85_o 5_o 7._o 90._o the_o angle_n flank_v 90._o 72._o 60._o 51_o 3_o 7._o 45._o the_o angle_n of_o the_o centre_n add_v thereunto_o 150._o 144._o 140._o 137_o 1_o 7._o 135._o the_o angle_n flank_v exterior_a 30._o 36._o 40._o 42_o ●_o 7._o 45._o the_o angle_n double_a of_o the_o angl_n flank_n interior_a 15._o 18._o 20._o 21_o 3_o 7._o 22_o ●_o 2._o the_o angle_n flank_v interior_a 90._o 90._o 90._o 90._o 90._o the_o angle_n which_o be_v the_o flank_n always_o 105._o 108._o 110._o 111_o 3_o 7._o 112_o 1_o 2._o the_o angle_n of_o the_o shoulder_n in_o the_o same_o manner_n also_o may_v be_v make_v right_o the_o angle_n flank_v of_o the_o decagone_fw-mi a_o fortress_n of_o ten_o bulwark_n where_o you_o must_v note_v also_o that_o before_o we_o proceed_v further_o we_o will_v make_v use_n in_o the_o supputation_n follow_v of_o the_o ten_o or_o decinall_a number_n which_o though_o it_o give_v some_o imperfection_n yet_o see_v the_o thing_n which_o we_o omit_v therein_o be_v of_o no_o great_a consequence_n it_o be_v ridiculous_a to_o make_v any_o further_a search_n thereof_o consider_v likewise_o that_o the_o table_n of_o sines_n tangent_n and_o secant_v be_v one_o and_o the_o same_o i_o think_v it_o good_a therefore_o to_o make_v use_n of_o these_o follow_v the_o i._o question_n the_o 1._o figure_n &_o 1_o plate_n 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explain_v they_o brief_o he_o confound_v they_o teadious_o as_o if_o heretofore_o there_o have_v be_v no_o certain_a rule_n set_v down_o in_o writing_n to_o calculate_v line_n and_o angle_n as_o be_v ordinary_o do_v by_o the_o trigometrie_n of_o plain_a triangle_n although_o there_o have_v be_v a_o number_n of_o author_n which_o have_v treat_v of_o they_o the_o one_o after_o one_o manner_n the_o other_o after_o a_o other_o and_o the_o most_o part_n of_o they_o commix_v with_o long_a discourse_n which_o move_v i_o not_o long_o since_o to_o put_v into_o light_n some_o table_n of_o sin_n in_o a_o portable_a volume_n with_o the_o most_o succinct_a method_n that_o possible_o can_v touch_v the_o supputation_n of_o such_o plain_a triangle_n reduce_v they_o into_o four_o diverse_a case_n where_o i_o do_v insert_v in_o their_o place_n some_o of_o my_o own_o invention_n to_o the_o purpose_n know_v as_o i_o suppose_v to_o none_o other_o heretofore_o so_o that_o it_o can_v be_v but_o have_v 3_o know_v term_n in_o a_o triangle_n but_o that_o one_o may_v know_v the_o other_o three_o or_o one_o of_o they_o only_o which_o one_o desire_n as_o the_o reader_n may_v know_v it_o the_o manner_n &_o order_n thereof_o be_v much_o more_o facile_a &_o easy_a to_o conceive_v than_o the_o read_n of_o our_o author_n in_o his_o former_a edition_n be_v obscure_a troublesome_a and_o hard_o to_o be_v attain_a unto_o for_o this_o reason_n the_o learner_n of_o this_o science_n be_v require_v to_o be_v forewarn_v before_o they_o come_v to_o the_o read_n of_o this_o book_n &_o be_v advertise_v hereby_o that_o when_o it_o be_v say_v a_o triangle_n have_v three_o term_n he_o must_v understand_v know_v or_o give_v and_o that_o when_o i_o say_v that_o a_o triangle_n rightangle_n have_v three_o term_n that_o then_o i_o be_o bind_v but_o to_o show_v two_o of_o they_o see_v that_o this_o word_n rightangle_n presuppose_v that_o the_o triangle_n have_v a_o right_a angle_n to_o weet_v of_o 90_o degree_n moreover_o that_o touch_v this_o present_a question_n these_o 7_o 21_o 5_o part_n demonstrate_v the_o reason_n of_o the_o line_n nd_o diego_n if_o and_o not_o the_o quantity_n of_o the_o same_o in_o foot_n as_o be_v necessary_a to_o find_v in_o the_o manner_n follow_a to_o find_v out_o the_o angles_n in_o the_o triangle_n right_o angle_v cdi_o the_o side_n cd_o be_v to_o diego_n as_o 5_o to_o 21_o for_o cd_o be_v of_o 5_o part_n then_o diego_n will_v be_v the_o 21_o thereof_o therefore_o the_o angle_n dic_fw-la will_v be_v find_v for_o 13_o 24_o it_o be_v double_a cld_n 26_o 48_o and_o its_o adjunct_n clf_o flank_v exterior_a will_v be_v of_o 153_o 12._o now_o in_o the_o figure_n quadrilatere_fw-mi or_o of_o foure-side_n ablh_n the_o angle_n exterior_a blh_n be_v always_o equal_a to_o the_o 3_o interiour_o b_o a_o &_o h_n now_o a_o 90_o the_o angle_n of_o the_o centre_n be_v take_v from_o blh_n 153_o 12_o there_o will_v remain_v the_o two_o demy-flanke_n abl_a &_o lha_n 63_o 12._o for_o one_o entire_a flank_n zbc_n &_o see_v that_o the_o angle_n of_o the_o shoulder_n bcd_n be_v exterior_a in_o the_o triangle_n cdi_o it_o will_v be_v equal_a to_o the_o two_o interiour_o d._n 90_o and_o 1._o 13_o 24_o and_o therefore_o the_o shoulder_n c_o will_v be_v 103._o 24._o to_o find_v out_o the_o length_n in_o a_o triangle_n ambligone_o bni_n the_o side_n by_o be_v 600_o foot_n &_o the_o angle_n be_v find_v therefore_o the_o other_o term_n shall_v be_v find_v to_o wit_n bn_n the_o capital_a line_n 196_o 64_o &_o ni_fw-fr 444_o 62_o but_o nd_o be_v the_o