Selected quad for the lemma: end_n

Word A Word B Word C Word D Occurrence Frequency Band MI MI Band Prominent
end_n foot_n inch_n square_a 1,999 5 12.7166 5 true
View all documents for the selected quad

Text snippets containing the quad

ID Title Author Corrected Date of Publication (TCP Date of Publication) STC Words Pages
A30706 The compleat ship-wright plainly and demonstratively teaching the proportions used by experienced ship-wrights according to their custome of building, both geometrically and arithmetically performed : to which by Edmund Bushnell, ship-wright. Bushnell, Edmund. 1664 (1664) Wing B6252; ESTC R13270 32,747 62

There are 5 snippets containing the selected quad. | View original text

the_o sweep_n be_v 203_o inch_n as_o before_o be_v say_v be_v always_o one_o side_n throughout_o the_o whole_a work_n of_o the_o same_o rise_a line_n be_v 41209_o as_o be_v find_v in_o the_o second_o page_n the_o three_o line_n the_o other_o fide_fw-la from_o the_o point_n a_o to_o f_o be_v 9_o foot_n or_o 108_o inch_n who_o square_a be_v 11664_o find_v in_o the_o first_o page_n and_o the_o 28_o line_n now_o subtract_v the_o square_n make_v of_o the_o side_n a_o f_o 11664_o from_o the_o square_n of_o the_o side_n d_o e_o so_o remain_v 29545_o 41209_o 11664_o 29545_o seek_v in_o the_o table_n of_o square_n for_o that_o number_n and_o i_o find_v in_o the_o second_o page_n and_o 12_o line_n and_o the_o six_o column_n 29584_o the_o near_a number_n to_o it_o yet_o it_o be_v a_o little_a too_o much_o near_o the_o ¼_n of_o a_o inch_n and_o towards_o the_o left_a hand_n in_o the_o same_o line_n the_o next_o column_n under_o the_o title_n foot_n inch_n you_o find_v 14_o 4_o signify_v that_o to_o be_v 14_o foot_n 4_o inch_n and_o in_o one_o column_n more_o to_o the_o left_a hand_n and_o the_o same_o line_n you_o see_v under_o the_o title_n of_o inch_n 172_o over_o the_o head_n you_o titule_v inch_n which_o must_v be_v subract_v from_o 203_o inch_n so_o remain_v 3_o inch_n for_o the_o rise_n of_o f_o e_o which_o be_v 2_o foot_n 7_o inch_n as_o in_o the_o first_o page_n of_o the_o table_n and_o the_o 31_o line_n 203_o 172_o 031_o these_o few_o example_n i_o think_v may_v be_v sufficient_a to_o show_v the_o use_n of_o the_o follow_a table_n of_o square_n the_o benefit_n where_o of_o may_v be_v very_o great_a for_o such_o as_o shall_v make_v use_n of_o the_o same_o if_o any_o desire_v the_o find_n of_o the_o fraction_n of_o these_o square_n when_o he_o find_v not_o his_o just_a figure_n in_o the_o square_n let_v he_o do_v thus_o subtract_v the_o figure_n under_o his_o number_n from_o the_o figure_n above_o his_o number_n which_o shall_v be_v the_o denominator_fw-la than_o these_o figure_n give_v substract_v from_o which_o the_o next_o square_n less_o shall_v be_v the_o denominator_fw-la to_o that_o fraction_n as_o for_o example_n in_o the_o forego_n figure_n after_o substraction_n shall_v have_v be_v 29553_o the_o near_a agree_v in_o the_o table_n be_v 29584_o the_o next_o lesser_o square_v number_n in_o the_o table_n be_v 29241_o which_o be_v more_o a_o great_a deal_n too_o little_a than_o the_o other_o be_v too_o great_a then_o subtract_v the_o lesser_a square_a number_n 29241_o from_o 29584_o and_o so_o rest_v 343_o which_o must_v be_v the_o denominator_fw-la then_o again_o subtract_v the_o true_a number_n give_v 29553_o the_o next_o lesser_o square_v number_n in_o the_o table_n be_v 29241_o which_o must_v be_v substract_v i_o say_v from_o the_o true_a number_n give_v 29553_o and_o so_o rest_v after_o substraction_n 312_o which_o be_v the_o numerator_n to_o the_o fraction_n and_o must_v be_v thus_o write_v ●_o so_o than_o the_o number_n belong_v to_o 29584_o be_v 171_o inch_n and_o 312_o 343_o part_n of_o a_o inch_n which_o be_v abreviate_v be_v something_o more_o than_o ¼_n of_o one_o inch_n and_o not_o full_a ⅞_n of_o one_o inch_n 29584_o 29241_o 343_o thus_o he_o that_o please_v may_v find_v the_o rise_n of_o any_o timber_n or_o narrow_n of_o any_o place_n by_o these_o table_n and_o the_o help_n of_o substraction_n exact_o to_o any_o circle_n whatsoever_o but_o it_o may_v suffice_v that_o a_o man_n go_v to_o his_o table_n may_v see_v which_o square_n his_o figure_n have_v great_a affinity_n with_o and_o may_v estimate_v the_o difference_n near_o enough_o without_o seek_v for_o the_o fraction_n which_o will_v be_v easy_o know_v by_o much_o practice_n herein_o here_o follow_v a_o table_n of_o square_a root_n ready_o extract_v from_o one_o inch_n to_o 1300_o inch_n which_o be_v to_o 108_o foot_n and_o 4_o inch_n and_o it_o be_v thus_o contrave_v that_o from_o one_o inch_n to_o 840_o inch_n all_o the_o inch_n be_v reduce_v into_o foot_n and_o inch_n for_o the_o ease_n and_o help_v of_o workman_n who_o always_o take_v their_o measure_n by_o foot_n and_o inch_n but_o from_o thence_o to_o the_o end_n of_o the_o table_n you_o have_v the_o inch_n only_o and_o the_o square_n thereof_o against_o they_o as_o the_o title_n over_o every_o page_n do_v make_v appear_v a_o table_n of_o square_a root_n inch_n foot_n inches_n square_n 1_o  _fw-fr 1_o 1_o 2_o  _fw-fr 2_o 4_o 3_o  _fw-fr 3_o 9_o 4_o  _fw-fr 4_o 16_o 5_o  _fw-fr 5_o 25_o 6_o  _fw-fr 6_o 36_o 7_o  _fw-fr 7_o 49_o 8_o  _fw-fr 8_o 64_o 9_o  _fw-fr 9_o 81_o 10_o  _fw-fr 10_o 100_o 11_o  _fw-fr 11_o 121_o 12_o 1_o 00_o 144_o 13_o 1_o 1_o 169_o 14_o 1_o 2_o 196_o 15_o 1_o 3_o 225_o 16_o 1_o 4_o 256_o 17_o 1_o 5_o 289_o 18_o 1_o 6_o 324_o 19_o 1_o 7_o 361_o 20_o 1_o 8_o 400_o 21_o 1_o 9_o 441_o 22_o 1_o 10_o 484_o 23_o 1_o 11_o 529_o 24_o 2_o 00_o 576_o 25_o 2_o 01_o 625_o 26_o 2_o 2_o 676_o 27_o 2_o 3_o 729_o 28_o 2_o 4_o 784_o 29_o 2_o 5_o 841_o 30_o 2_o 6_o 900_o 31_o 2_o 7_o 961_o 32_o 2_o 8_o 1024_o 33_o 2_o 9_o 1089_o 34_o 2_o 10_o 1156_o 35_o 2_o 11_o 1225_o 36_o 3_o 00_o 1296_o 37_o 3_o 1_o 1369_o 38_o 3_o 2_o 1444_o 39_o 3_o 3_o 1521_o 40_o 3_o 4_o 1600_o 41_o 3_o 5_o 16●1_n 42_o 3_o 6_o 1764_o 43_o 3_o 7_o 1849_o 44_o 3_o 8_o 1936_o 45_o 3_o 9_o 2025_o 46_o 3_o 10_o 2116_o 47_o 3_o 11_o 2209_o 48_o 4_o 00_o 2304_o 49_o 4_o 1_o 2401_o 50_o 4_o 2_o 2500_o 51_o 4_o 3_o 2601_o 52_o 4_o 4_o 2704_o 53_o 4_o 5_o 2809_o 54_o 4_o 6_o 2916_o 55_o 4_o 7_o 3025_o 56_o 4_o 8_o 3136_o 57_o 4_o 9_o 3249_o 58_o 4_o 10_o 3364_o 59_o 4_o 11_o 3481_o 60_o 5_o 00_o 3600_o 61_o 5_o 1_o 3721_o 62_o 5_o 2_o 3844_o 63_o 5_o 3_o 3964_o 64_o 5_o 4_o 4096_o 65_o 5_o 5_o 4225_o 66_o 5_o 6_o 4356_o 67_o 5_o 7_o 4489_o 68_o 5_o 8_o 4624_o 69_o 5_o 9_o 4761_o 70_o 5_o 10_o 4900_o 71_o 5_o 11_o 5041_o 72_o 6_o 00_o 5184_o 73_o 6_o 1_o 5329_o 74_o 6_o 2_o 5476_o 75_o 6_o 3_o 5625_o 76_o 6_o 4_o 5776_o 77_o 6_o 5_o 5929_o 78_o 6_o 6_o 6084_o 79_o 6_o 7_o 6241_o 80_o 6_o 8_o 6400_o 81_o 6_o 9_o 6561_o 82_o 6_o 10_o 6724_o 83_o 6_o 11_o 6889_o 84_o 7_o 00_o 7056_o 85_o 7_o 1_o 7225_o 86_o 7_o 2_o 7396_o 87_o 7_o 3_o 7569_o 88_o 7_o 4_o 7744_o 89_o 7_o 5_o 7921_o 90_o 7_o 6_o 8●00_n 91_o 7_o 7_o 8●81_n 92_o 7_o 8_o 8464_o 93_o 7_o 9_o 8649_o 94_o 7_o 10_o 8836_o 95_o 7_o 11_o 9025_o 96_o 8_o 0_o 9226_o 97_o 8_o 1_o 9409_o 98_o 8_o 2_o 9604_o 99_o 8_o 3_o 9801_o 100_o 8_o 4_o 10000_o 101_o 8_o 5_o 10201_o 102_o 8_o 6_o 10404_o 103_o 8_o 7_o 10609_o 104_o 8_o 8_o 10816_o 105_o 8_o 9_o 11025_o 106_o 8_o 10_o 11236_o 107_o 8_o 11_o 11449_o 108_o 9_o 0_o 11664_o 109_o 9_o 1_o 11881_o 110_o 9_o 2_o 12100_o 111_o 9_o 3_o 12321_o 112_o 9_o 4_o 12544_o 113_o 9_o 5_o 12769_o 114_o 9_o 6_o 12996_o 115_o 9_o 7_o 13225_o 116_o 9_o 8_o 13456_o 117_o 9_o 9_o 13689_o 118_o 9_o 10_o 13924_o 219_o 9_o 11_o 14162_o 120_o 10_o 0_o 14400_o 121_o 10_o 1_o 14641_o 122_o 10_o 2_o 14884_o 123_o 10_o 3_o 15229_o 124_o 10_o 4_o 15376_o 125_o 10_o 5_o 15625_o 126_o 10_o 6_o 15876_o 127_o 10_o 7_o 16029_o 128_o 10_o 8_o 16384_o 129_o 10_o 9_o 16641_o 130_o 10_o 10_o 16900_o 131_o 10_o 11_o 17161_o 132_o 11_o 00_o 17424_o 133_o 11_o 1_o 17689_o 134_o 11_o 2_o 17956_o 135_o 11_o 3_o 18225_o 136_o 11_o 4_o 18496_o 137_o 11_o 5_o 18769_o 138_o 11_o 6_o 19044_o 139_o 11_o 7_o 19321_o 140_o 11_o 8_o 19600_o 141_o 11_o 9_o 19881_o 142_o 11_o 10_o 20164_o 143_o 11_o 11_o 20449_o 144_o 12_o 00_o 20736_o 145_o 12_o 01_o 21025_o 146_o 12_o 2_o 22416_o 147_o 12_o 3_o 21609_o 148_o 12_o 4_o 21904_o 149_o 12_o 5_o 22201_o 150_o 12_o 6_o 22500_o 151_o 12_o 7_o 22801_o 152_o 12_o 8_o 23104_o 153_o 12_o 9_o 23409_o 154_o 12_o 10_o 23716_o 155_o 12_o 11_o 24025_o 156_o 13_o 00_o 24336_o 157_o 13_o 1_o 24649_o 158_o 13_o 2_o 24964_o 159_o 13_o 3_o 25381_o 160_o 13_o 4_o 25600_o 161_o 13_o 5_o 25921_o 162_o 13_o 6_o 26244_o 163_o 13_o 7_o 26569_o 164_o 13_o 8_o 26956_o 165_o 13_o 9_o 27225_o 166_o 13_o 10_o 27556_o 167_o 13_o 11_o 27889_o 168_o 14_o 00_o 28224_o 169_o 14_o 1_o 28561_o 170_o 14_o 2_o 28900_o 171_o 14_o 3_o 29241_o 172_o 14_o 4_o 29584_o 173_o 14_o 5_o 29929_o 174_o 14_o 6_o 30276_o 175_o 14_o 7_o 30625_o 176_o
29_o foot_n as_o you_o may_v see_v by_o divide_v it_o by_o 12_o or_o else_o if_o you_o turn_v to_o the_o table_n and_o seek_v under_o the_o title_n of_o inch_n for_o 348_o you_o will_v see_v in_o the_o same_o line_n towards_o the_o left_a hand_n 29_o foot_n which_o you_o will_v find_v in_o the_o three_o page_n and_o the_o 28_o line_n the_o seven_o and_o eight_o column_n then_o i_o work_v by_o that_o sweep_v to_o 3_o 5_o of_o the_o length_n of_o the_o rise_a line_n or_o 12_o foot_n of_o the_o same_o at_o the_o point_n c_o it_o be_v represent_v at_o which_o point_n i_o seek_v the_o rising_n c_o b_o i_o seek_v in_o the_o table_n for_o the_o square_n make_v of_o 144_o and_o i_o find_v it_o in_o the_o second_o page_n 24_o line_n at_o the_o first_o column_n and_o towards_o the_o right_a hand_n under_o the_o title_n of_o square_n i_o find_v 20736_o which_o be_v the_o square_n make_v of_o 144_o then_o i_o seek_v for_o the_o square_n make_v of_o the_o sweep_v or_o side_n a_o b_o 348_o inch_n and_o i_o find_v it_o in_o the_o table_n to_o be_v 121104_o from_o this_o 121104_o i_o subtract_v the_o other_o square_n make_v of_o the_o side_n d_o c_o 144_o be_v 20736_o and_o there_o remain_v 100368_o who_o root_n i_o find_v in_o the_o table_n in_o the_o three_o page_n and_o the_o 37th_o line_n and_o the_o six_o column_n 100489_o which_o be_v too_o much_o by_o near_o 121_o but_o the_o other_o number_n afore_o it_o be_v much_o more_o too_o little_a the_o number_n answer_v hereunto_o be_v 316_o inch_n and_o near_a ¼_n substract_v from_o 348_o the_o whole_a side_n leave_v 31_o inch_n ¼_n or_o two_o foot_n 7_o inch_n ¼_n for_o the_o rise_n 0_o 30_o 57600_o 600_o 9666_o 89_o 121104_o 20736_o 100368_o at_o the_o point_n c_o now_o to_o make_v a_o round_a sweep_v aftward_o on_o or_o at_o the_o other_o end_n of_o the_o line_n as_o from_o b_o to_o f_o which_o rune_v high_o up_o or_o rownd_v more_o as_o from_o i_o to_o f_o here_o will_v be_v something_o more_o of_o trouble_n to_o find_v the_o sweep_v that_o shall_v exact_o touch_v the_o two_o point_n assign_v as_o from_o b_o to_o f_o then_o to_o find_v the_o former_a sweep_v now_o the_o demonstration_n will_v show_v it_o to_o be_v thus_o let_v b_o and_o f_o be_v the_o two_o point_n to_o which_o the_o sweep_v be_v confine_v to_o touch_v draw_v a_o straight_a line_n from_o b_o to_o f_o as_o you_o see_v and_o so_o you_o have_v a_o right_o line_v triangle_n make_v of_o the_o side_n b_o h_n the_o length_n of_o the_o line_n to_o be_v sweep_v by_o the_o second_o sweep_v and_o the_o side_n h_o f_o the_o height_n of_o the_o same_o together_o with_o the_o subtend_a side_n b_o f_o then_o a_o straight_a line_n draw_v from_o the_o middle_n of_o the_o side_n b_o f_o and_o perpendicular_a or_o square_a to_o the_o same_o line_n b_o f_o and_o extend_v till_o it_o touch_v the_o side_n d_o a_o the_o place_n where_o it_o touch_v shall_v be_v the_o centre_n of_o the_o same_o sweep_v as_o be_v the_o line_n g_o h_n pass_v through_o the_o middle_n of_o the_o side_n b_o f_o at_o the_o point_n o_o which_o to_o find_v arithmetical_o proceed_v thus_o find_v first_o the_o length_n of_o the_o side_n b_o f_o as_o before_o be_v teach_v of_o two_o side_n of_o a_o right_a angle_a triangle_n give_v to_o find_v the_o three_o side_n which_o will_v be_v find_v to_o be_v 134_o ½_o inch_n the_o half_a whereof_o be_v 67_o inch_n ¼_n from_o b_o to_o o_o then_o if_o a_o perpendicular_a be_v let_v fall_n from_o o_o to_o the_o line_n b_o h_n it_o will_v cut_v that_o base_a line_n also_o in_o half_n as_o at_o the_o point_n p_o be_v 48_o inch_n then_o again_o find_v the_o side_n o_o h_n and_o that_o will_v be_v in_o this_o example_n equal_a to_o the_o side_n b_o o_fw-fr but_o in_o other_o case_n it_o may_v not_o so_o fall_v out_o so_o then_o those_o two_o side_n be_v know_v as_o the_o side_n o_o h_n 67_o ½_o inch_n and_o the_o side_n p_o h_n 48_o inch_n and_o the_o whole_a length_n of_o the_o side_n k_o h_n 240_o inch_n you_o may_v then_o work_v by_o the_o rule_n of_o three_o say_v if_o 48_o the_o side_n p_o h_n give_v 67_o ½_o inch_n for_o the_o side_n o_o h_n what_o will_v 240_o give_v for_o the_o side_n k_o h_n as_o thus_o if_o 48_o give_v 67_o ½_o what_o will_v 240_o 240_o 2_o 67_o 144_o 1680_o 4640_o 1440_o 16080_o 335_o  _fw-fr 48888_o 16880_o 44_o if_o you_o multiply_v the_o two_o first_o number_n together_o and_o divide_v by_o the_o first_o number_n you_o will_v beget_v in_o the_o quotient_a 335_o for_o the_o length_n of_o the_o whole_a side_n g_o h._n i_o here_o neglect_v the_o ½_o inch_n in_o this_o multiplication_n for_o the_o ½_o inch_n shall_v have_v be_v multiply_v into_o the_o 240_o by_o add_v to_o the_o sum_n 16080_o 120_o the_o half_a of_o 240_o and_o it_o make_v 16200_o which_o divide_v by_o 48_o make_v 337_o ⅓_n inch_n for_o the_o whole_a side_n g_o h_n so_o then_o these_o two_o side_n be_v find_v find_v the_o side_n g_o k_n thus_o as_o before_o be_v teach_v look_v in_o the_o table_n of_o square_n for_o the_o square_n make_v of_o the_o side_n 337_o and_o it_o will_v be_v 113569_o from_o which_o subtract_v the_o square_n make_v of_o 240_o the_o other_o side_n be_v 57600_o there_o rest_v 55969_o as_o you_o may_v see_v for_o that_o number_n seek_v for_o in_o the_o table_n and_o you_o find_v the_o near_a number_n to_o it_o to_o be_v 56069_o and_o the_o root_n of_o it_o to_o be_v 237_o for_o the_o side_n g_o k_n to_o which_o must_v be_v add_v the_o rise_n of_o the_o point_n c_o b_o or_o k_o d_o which_o be_v all_o one_o and_o be_v as_o we_o find_v it_o before_o to_o be_v 31_o ¼_n inch_n add_v to_o 237_o make_v 268_o ¼_n inch_n or_o 22_o foot_n 4_o inch_n show_v that_o at_o 22_o foot_n 4_o inch_n from_o the_o point_n d_o towards_z g_z will_v be_v the_o point_n where_o the_o centre_n of_o the_o round_a circle_n ought_v to_o stand_v then_o again_o you_o have_v the_o side_n g_o k_n find_v as_o before_o to_o be_v 237_o and_o the_o side_n k_o b_o 144_o and_o if_o you_o work_v as_o be_v teach_v before_o but_o remember_v that_o if_o the_o long_a side_n be_v seek_v for_o as_o be_v now_o in_o the_o last_o side_n seek_v for_o g_z b_o being_z the_o long_a side_n you_o must_v add_v the_o square_n make_v of_o the_o other_o two_o side_n together_o and_o the_o square_a of_o those_o two_o sum_n shall_v be_v the_o long_a side_n g_o b_o 277_o inch_n that_o be_v 23_o foot_n 1_o inch_n which_o be_v the_o length_n of_o the_o second_o sweep_v and_o so_o have_v you_o the_o length_n of_o the_o sweep_v the_o same_o order_n you_o may_v observe_v to_o round_o your_o sweep_v as_o often_o as_o you_o please_v 113569_o 57600_o 55969_o 237_o 31_o ¼_n 268_o ¼_n if_o any_o have_v knowledge_n of_o the_o doctrine_n of_o triangle_n it_o may_v be_v find_v more_o ready_a that_o i_o leave_v to_o those_o that_o know_v the_o use_n thereof_o note_v also_o that_o when_o you_o seek_v for_o any_o number_n in_o the_o table_n take_v heed_n that_o you_o mind_n the_o number_n of_o figure_n you_o seek_v for_o to_o agree_v in_o number_n with_o those_o that_o direct_v you_o to_o seek_v for_o they_o as_o for_o example_n in_o the_o other_o figure_v abovemention_v 55969_o they_o be_v in_o number_n 5_o by_o their_o place_n as_o you_o see_v then_o repair_v to_o the_o table_n i_o find_v 559504_o but_o tell_v the_o figure_n i_o see_v that_o they_o be_v in_o number_n 6_o but_o shall_v be_v but_o 5_o therefore_o this_o number_n represent_v in_o the_o seven_o page_n and_o the_o 28_o line_n and_o three_o column_n be_v not_o the_o place_n i_o seek_v for_o than_o i_o turn_v towards_o the_o begin_n of_o the_o table_n till_o i_o see_v that_o the_o column_n of_o square_n contain_v but_o 5_o figure_n and_o there_o seek_v the_o near_a number_n agree_v to_o 55969_o and_o in_o the_o second_o page_n 37th_o line_n last_o column_n i_o find_v 56069_o the_o near_a agree_v to_o it_o which_o be_v the_o place_n answer_v to_o the_o other_o directory_n figure_n note_v also_o that_o the_o example_n of_o find_v the_o sweep_v aforegoing_a be_v lay_v down_o by_o the_o small_a scale_n of_o the_o draught_n by_o which_o you_o may_v try_v it_o for_o your_o better_a direction_n and_o in_o that_o table_n you_o may_v see_v that_o any_o far_a than_o 70_o foot_n be_v the_o end_n of_o the_o seven_o page_n i_o have_v not_o mention_v the_o foot_n and_o inch_n belong_v to_o the_o number_n of_o inch_n but_o have_v leave_v
description_n and_o use_n of_o three_o general_a quadrant_n accommodate_v for_o the_o ready_a find_v the_o hour_n and_o azimuth_n universal_o in_o the_o equal_a limb_n the_o complete_a modellist_n show_v how_o to_o raise_v the_o model_n of_o any_o ship_n or_o vessel_n either_o in_o proportion_n or_o out_o of_o proportion_n and_o to_o find_v the_o length_n and_o bigo●ss_n of_o every_o rope_n in_o all_o vessel_n exact_o with_o the_o weight_n of_o their_o anchor_n and_o cable_n there_o be_v a_o new_a book_n call_v the_o pilot_n sea-mirror_n which_o be_v a_o compendium_n of_o the_o large_a wagoner_n or_o the_o lightning_n sea-collumbe_n contain_v all_o distance_n or_o thwart_a course_n of_o the_o eastern_a northern_a and_o western_a navigation_n with_o a_o general_a tide_n table_n for_o every_o day_n and_o the_o change_n and_o full_a of_o the_o moon_n exact_o for_o eight_o year_n also_o course_n and_o distance_n throughout_o the_o straits_n print_a for_o george_n hurlock_n at_o magnus_n church_n corner_n by_o london_n bridge_n the_o saint_n anchor-hold_a in_o all_o storm_n and_o tempest_n publish_v for_o the_o support_n and_o comfort_n of_o god_n people_n in_o all_o time_n of_o trial_n by_o john_n davenport_n pastor_n of_o the_o church_n in_o new-haven_n in_o new-ingland_a there_o will_v short_o be_v make_v public_a a_o book_n entitle_v the_o mariner_n compass_n rectifle_v contain_v first_o a_o table_n show_v the_o hour_n of_o the_o day_n the_o sun_n be_v upon_o any_o point_n of_o the_o compass_n second_o table_n of_o the_o sun_n rise_v and_o set_v three_o table_n show_v the_o point_n of_o the_o compass_n that_o the_o sun_n and_o star_n rise_v and_o set_v with_o four_o table_n of_o amplitude_n all_o which_o table_n be_v calculate_v from_o the_o equinoctial_a to_o 60_o degree_n of_o latitude_n with_o table_n of_o latitude_n and_o longitude_n after_o a_o new_a order_n with_o the_o description_n and_o use_n of_o all_o those_o instrument_n that_o be_v in_o use_n in_o the_o art_n of_o navigation_n either_o for_o operation_n or_o observation_n the_o complete_a shipwright_n chap._n 1._o of_o geometrical_a problem_n before_o we_o proceed_v to_o draw_v the_o draught_n of_o any_o ship_n or_o vessel_n it_o will_v be_v necessary_a to_o be_v acquaint_v with_o some_o term_n in_o geometry_n as_o to_o know_v what_o a_o point_n and_o a_o line_n mean_v which_o every_o book_n treat_v of_o geometry_n plain_o teach_v and_o therefore_o we_o shall_v pass_v that_o by_o suppose_v that_o none_o will_v endeavour_v to_o study_v the_o art_n of_o a_o shipwright_n that_o be_v ignorant_a of_o these_o thing_n and_o therefore_o leave_v these_o definition_n i_o will_v proceed_v to_o some_o geometrical_a problem_n necessary_a to_o this_o art_n prob._n 1._o how_o to_o draw_v a_o parallel_n line_n parallel_v line_n be_v such_o line_n as_o be_v equidistant_a one_o from_o another_o in_o all_o part_n and_o be_v thus_o draw_v draw_v a_o line_n of_o what_o length_n you_o please_v according_a to_o your_o occasion_n as_o the_o line_n a_o b_o then_o open_a the_o compass_n to_o what_o distance_n you_o plea_n or_o as_o your_o occasion_n require_v and_o set_v one_o foot_n of_o the_o compass_n towards_o one_o end_n of_o the_o give_v line_n as_o at_o a_o with_o the_o other_o foot_n make_v a_o piece_n of_o a_o arch_n of_o a_o circle_n over_z or_o under_o the_o give_v line_n as_o the_o arch_n c_o keep_v the_o compass_n then_o at_o the_o same_o distance_n make_v such_o another_o arch_n towards_o the_o other_o end_n of_o the_o line_n set_v one_o foot_n in_o b_o and_o with_o the_o other_o describe_v the_o arch_n d_o then_o lay_v a_o ruler_n to_o the_o outside_n of_o these_o two_o arch_n so_o that_o it_o may_v exact_o touch_v they_o draw_v the_o line_n c_o d_o which_o will_v be_v parallel_n to_o the_o give_v line_n a_o b_o or_o equidistant_a for_o so_o signify_v the_o word_n parallel_n to_o be_v of_o equal_a distance_n probl._n 2._o how_o to_o erect_v a_o perpendicular_a from_o a_o point_n in_o a_o right_a line_n give_v let_v there_o be_v a_o point_n give_v in_o the_o line_n a_o b_o as_o the_o point_n c_o whereon_o to_o raise_v a_o perpendicular_a set_a one_o foot_n of_o the_o compass_n in_o the_o give_v point_n c_o and_o open_v they_o to_o what_o distance_n you_o please_v as_o to_o the_o point_n e_o make_v a_o little_a mark_n at_o e_o and_o keep_v the_o compass_n at_o the_o same_o distance_n turn_v they_o about_o and_o make_v a_o mark_n at_o the_o point_n f_o in_o the_o line_n a_o b_o then_o remove_v the_o compass_n to_o one_o of_o those_o mark_n at_o e_z or_o f_o and_o set_v one_o foot_n fast_o therein_o as_o at_o the_o point_n f_o open_v the_o other_o foot_n wide_o and_o therewith_o draw_v a_o small_a arch_n over_o the_o point_n c_o as_o the_o arch_n d_o then_o keep_v the_o compass_n at_o the_o same_o distance_n remove_z they_o to_z e_z and_o set_v one_o foot_n in_o e_o with_o the_o other_o foot_n draw_v another_o little_a arch_n so_o as_o to_o cross_v the_o former_a arch_n in_o the_o point_n d_o through_o the_o cross_n of_o these_o two_o arch_n a_o d_o draw_v a_o line_n to_o the_o give_v point_n c_o as_o the_o line_n d_o c_o which_o shall_v be_v perpendicular_a to_o the_o line_n a_o b._n diverse_a other_o way_n there_o be_v to_o raise_v a_o perpendicular_a which_o i_o shall_v leave_v to_o the_o far_a practice_n of_o such_o as_o desire_v diversity_n of_o way_n and_o proceed_v to_o the_o raise_n of_o a_o perpendicular_a on_o the_o end_n of_o a_o line_n probl._n 3_o to_o raise_v a_o perpendicular_a on_o the_o end_n of_o a_o line_n draw_v a_o line_n at_o pleasure_n or_o according_a to_o your_o work_n as_o the_o line_n a_o b_o on_o the_o end_n thereof_o as_o at_o b_o set_z one_o foot_n of_o the_o compass_n and_o open_v they_o to_o what_o wideness_n you_o please_v as_o to_o c_o and_o keep_v fast_o one_o foot_n at_o b_o pitch_z one_o foot_n by_o adventure_n in_o c_o then_o keep_v one_o foot_n of_o the_o compass_n in_o c_o and_o at_o the_o same_o distance_n remove_v the_o foot_n that_o be_v in_o b_o to_o the_o point_n d_o in_o the_o line_n a_o b_o then_o keep_v the_o compass_n still_o at_o the_o same_o distance_n lay_v a_o ruler_n to_o the_o point_n d_o and_o there_o be_v other_o way_n to_o effect_v this_o which_o i_o shall_v leave_v to_o far_a practice_n of_o the_o learner_n this_o be_v the_o proper_a for_o our_o purpose_n prob._n 4._o from_o a_o point_n give_v to_o let_v fall_v a_o perpendicular_a upon_o a_o line_n give_v from_o the_o point_n c_o let_v it_o be_v require_v to_o let_v fall_v a_o perpendicular_a upon_o the_o line_n a_o b_o proceed_v thus_o fix_v one_o foot_n of_o the_o compass_n in_o the_o point_n c_o and_o open_v they_o to_o a_o great_a distance_n then_o just_a to_o the_o line_n a_o b_o and_o make_v with_o the_o same_o extent_n the_o two_o mark_n e_z and_o f_o in_o the_o give_v line_n a_o b_o then_o divide_v the_o distance_n between_o the_o two_o point_n e_z and_o f_o into_o two_o equal_a part_n in_o the_o point_n d_o then_o lay_v a_o ruler_n to_o the_o give_v point_n c_o and_o to_o the_o point_n d_o and_o draw_v the_o line_n c_o d_o which_o will_v be_v perpendicular_a to_o the_o give_v line_n a_o b._n chap._n ii_o of_o your_o scale_n be_v perfect_a in_o the_o raise_n and_o let_v fall_n of_o perpendicular_o and_o in_o the_o draw_n of_o parallel_n line_n you_o may_v proceed_v to_o draught_n but_o first_o i_o will_v unfold_v unto_o you_o the_o use_n of_o a_o diagonall_a scale_n of_o inch_n and_o foot_n who_o use_n be_v to_o represent_v a_o foot_n measure_n or_o a_o rule_n so_o small_a that_o a_o ship_n of_o 100_o foot_n by_o the_o keel_n may_v be_v demonstrate_v on_o a_o common_a sheet_n of_o paper_n real_o and_o true_o to_o be_v so_o many_o foot_n long_o and_o so_o many_o foot_n broad_a of_o such_o a_o depth_n and_o of_o such_o a_o height_n between_o the_o deck_n and_o therein_o the_o first_o thing_n to_o be_v consider_v be_v the_o length_n of_o the_o platform_n and_o of_o the_o vessel_n you_o intend_v to_o demonstrate_v to_o the_o end_n you_o may_v make_v your_o scale_n as_o large_a as_o you_o can_v because_o the_o large_a the_o scale_n be_v the_o large_a will_v the_o draught_n be_v and_o so_o the_o measure_n of_o the_o demonstration_n will_v be_v the_o large_a and_o more_o easy_a to_o unfold_v the_o scale_n adjoin_v consist_v as_o you_o see_v of_o 12_o foot_n in_o all_o 11_o thereof_o be_v mark_v with_o figure_n downward_o beginning_n at_o 1_o 2_o 3_o 4_o and_o so_o to_o 11_o the_o first_o at_o the_o top_n be_v subdivide_v into_o inch_n by_o diagonal_a line_n as_o the_o distance_n between_o the_o first_o line_n of_o
starne_n as_o be_v the_o arch_a f_n the_o length_n whereof_o be_v 8_o foot_n which_o double_v be_v 16_o foot_n for_o the_o whole_a length_n which_o be_v ⅘_n of_o the_o breadth_n 20_o foot_n the_o length_n of_o the_o sweep_v that_o sweep_v it_o be_v the_o length_n of_o the_o starnpost_n to_o the_o bottom_n of_o the_o keel_n 14_o foot_n ⅓_n than_o the_o crooked_a line_n from_o the_o end_n of_o the_o transom_n or_o from_o the_o point_n s_o and_o touch_v the_o keel_n at_o the_o point_n p_o this_o arch_n sparke_n be_v the_o narrow_a line_n abaft_o at_o the_o breadth_n and_o the_o crooked_a prick_v line_n within_o the_o keel_n mark_v with_o tr_z be_v a_o rise_a line_n to_o order_v a_o hollow_a mould_n by_o the_o timber_n be_v place_v at_o 2_o foot_n timber_n and_o room_n as_o you_o may_v see_v by_o the_o scale_n the_o line_n draw_v from_o the_o poop_n to_o the_o foarcastle_n mark_v by_o the_o letter_n vw_n be_v a_o line_n signify_v the_o breadth_n of_o the_o vessel_n at_o the_o top_n of_o the_o side_n from_o the_o top_n of_o the_o poop_n to_o the_o forecastle_n the_o top_n of_o the_o poop_n be_v in_o breadth_n 10_o foot_n half_o the_o breadth_n at_o the_o beam_n the_o use_n of_o this_o line_n be_v in_o order_v of_o the_o mould_v to_o steady_a the_o head_n of_o the_o top-timber_n mould_n to_o find_v his_o breadth_n aloft_o chap._n vi_o show_v the_o make_v and_o graduate_v or_o mark_v of_o the_o bend_v of_o mould_v repair_v to_o some_o house_n that_o have_v some_o room_n or_o other_o broad_a enough_o to_o demonstrate_v the_o breadth_n of_o the_o vessel_n and_o height_n enough_o for_o the_o top_n of_o the_o poop_n in_o the_o length_n of_o the_o room_n or_o else_o if_o you_o can_v find_v such_o a_o room_n convenient_a lay_v board_n together_o or_o plank_n that_o may_v be_v large_a enough_o for_o your_o business_n as_o in_o the_o follow_a scheame_n you_o see_v first_o a_o long_a square_n make_v for_o the_o breadth_n of_o the_o vessel_n as_o in_o the_o follow_a figure_n jabk_n then_o make_v the_o mould_v by_o their_o sweep_v and_o make_v sirmark_n to_o they_o for_o the_o lay_n of_o they_o together_o in_o their_o true_a place_n off_o first_o the_o mould_n for_o the_o floor_n be_v make_v you_o may_v make_v a_o sirmarke_n by_o the_o line_n of_o on_o the_o head_n of_o the_o floor_n mould_n and_o another_o on_o the_o foot_n of_o the_o navel_n timber_n mould_n at_o the_o same_o place_n to_o signify_v that_o those_o two_o mark_n put_v together_o they_o be_v in_o their_o true_a place_n and_o will_v compare_v so_o when_o any_o timber_n be_v mould_v by_o they_o those_o sirmark_n must_v also_o be_v mark_v off_o on_o the_o timber_n and_o so_o in_o put_v the_o timber_n up_o in_o the_o frame_n a_o regard_n be_v have_v to_o compare_v sirmark_n with_o hirmarks_n each_o timber_n will_v find_v his_o own_o place_n and_o come_v to_o his_o own_o breadth_n and_o give_v the_o vessel_n that_o form_n assign_v she_o by_o your_o draught_n if_o it_o be_v wrought_v by_o it_o and_o so_o for_o all_o the_o other_o mould_v in_o make_v your_o mould_v that_o they_o may_v be_v small_a and_o small_a upward_o and_o not_o all_o of_o a_o bigness_n you_o may_v measure_v the_o depth_n of_o the_o side_n in_o the_o mid_a ship_n circular_a as_o it_o go_v from_o the_o keel_n to_o the_o top_n of_o the_o side_n as_o here_o the_o side_n as_o it_o rownd_v be_v 26_o foot_n and_o in_o depth_n at_o the_o rounhead_n or_o at_o the_o end_n of_o the_o floor_n be_v one_o foot_n as_o m_z m_z and_o at_o the_o other_o end_n at_o the_o head_n of_o the_o timber_n be_v but_o half_a a_o foot_n as_o at_o n_o n_o so_o then_o draw_v two_o line_n as_o the_o line_n n_o m_o represent_v the_o diminish_n of_o the_o mould_v in_o thickness_n upward_o as_o those_o two_o line_n represent_v as_o if_o you_o will_v find_v the_o thickness_n of_o the_o timber_n at_o the_o breadth_n take_v your_o 2_o foot_n rule_n and_o measure_v the_o length_n from_o the_o end_n of_o the_o floor_n at_o the_o point_n f_o to_o i_o at_o the_o breadth_n in_o the_o crooked_a body_n and_o it_o be_v 11_o foot_n 9_o inch_n signify_v at_o the_o sirmark_n there_o those_o two_o line_n show_v the_o thickness_n to_o be_v 9_o inch_n and_o so_o thick_a aught_o the_o mould_v to_o be_v at_o the_o breadth_n of_o the_o vessel_n now_o i_o have_v brief_o touch_v the_o demonstration_n of_o a_o ship_n by_o projection_n i_o shall_v now_o come_v to_o a_o arithmetical_a way_n far_o surpass_v any_o demonstration_n for_o exactness_n chap._n vii_o arithmetical_o show_v how_o to_o frame_v the_o body_n of_o a_o ship_n by_o segment_n of_o circle_n be_v a_o true_a way_n to_o examine_v the_o truth_n of_o a_o bow_n let_v a_o b_o represent_v the_o length_n of_o a_o rise_a line_n 12_o foot_n long_o or_o 144_o inch_n the_o height_n whereof_o let_v be_v b_o c_o 5_o foot_n or_o 60_o inch_n to_o find_v the_o side_n d_o e_o or_o d_o a_o the_o radius_fw-la of_o the_o circle_n a_o c_o whereto_o a_o d_o be_v the_o semidiameter_n multiply_v the_o side_n a_o b_o 144_o inch_n in_o itself_o and_o so_o come_v 20736_o which_o sum_n divide_v 144_o 144_o 576_o 576_o 144_o 20736_o by_o the_o side_n b_o c_o the_o height_n of_o the_o rise_a 60_o inch_n and_o so_o come_v 345_o and_o 3●6_n 60_o which_o be_v abreviate_v 3_o unto_o this_o 345_o ●_o ●_o must_v be_v add_v again_o the_o height_n of_o the_o rise_n the_o side_n b_o e_o 60_o which_o make_v 405_o 3_o of_o a_o inch_n which_o be_v the_o whole_a diameter_n of_o the_o circle_n the_o half_a whereof_o be_v 202_o 1_o ●_o inch_n and_o something_o more_o near_o ●_o 4_o therefore_o we_o will_v avoid_v the_o fraction_n and_o account_v it_o 203_o inch_n or_o 16_o foot_n 11_o inch_n which_o be_v the_o length_n of_o the_o sweep_v or_o the_o side_n d_o e_o and_o so_o in_o all_o other_o sweep_v give_v whatsoever_o the_o rule_n be_v general_a and_o hold_v true_a in_o all_o thing_n as_o to_o find_v the_o sweep_v at_o once_o that_o will_v round_o any_o beam_n or_o other_o piece_n of_o timber_n that_o be_v to_o be_v sweep_v remember_v that_o if_o it_o be_v a_o beam_n you_o be_v to_o find_v the_o sweep_v you_o take_v but_o the_o half_a of_o his_o length_n 23_o 3_o 20736_o 345_o 6000_o 66_o example_n as_o if_o the_o beam_n be_v 30_o foot_n in_o length_n and_o to_o round_o one_o foot_n you_o must_v work_v by_o 15_o the_o half_a length_n of_o the_o beam_n and_o turn_v 15_o foot_n into_o inch_n by_o multiply_v 15_o by_o 12_o so_o come_v 180_o inch_n remember_v the_o length_n of_o the_o rise_a line_n if_o it_o be_v to_o find_v the_o sweep_v it_o must_v be_v multiply_v by_o itself_o or_o the_o half_a length_n of_o the_o timber_n must_v be_v multiply_v in_o itself_o as_o 180_o by_o 180_o so_o come_v 32400_o which_o must_v be_v divide_v by_o 12_o the_o round_v come_v in_o the_o quotient_a 2700_o to_o which_o must_v be_v add_v the_o 12_o again_o the_o round_v of_o the_o piece_n and_o so_o it_o be_v 2712_o the_o whole_a circle_n the_o half_a of_o this_o 2712_o be_v 1356_o for_o the_o length_n of_o the_o sweep_v and_o so_o in_o all_o other_o matter_n where_o the_o sweep_v be_v require_v this_o i_o read_v in_o mr._n gunter_n book_n where_o he_o call_v it_o the_o half_a chord_n be_v give_v and_o the_o verse_v fine_a to_o find_v the_o diameter_n and_o semidiameter_n of_o the_o circle_n thereto_o belong_v example_n in_o the_o draught_n forego_v where_o the_o length_n of_o the_o rise_a line_n be_v from_o the_o point_n e_o to_o the_o point_n i_o 32_o foot_n and_o half_o the_o height_n thereof_o be_v the_o line_n d_o i_o 10_o foot_n turn_v both_o sum_n into_o inch_n as_o 32_o foot_n multiply_v by_o 12_o produce_v add_v the_o ½_o foot_n 6_o inch_n 390_o inch_n length_n for_o the_o rise_a line_n then_o turn_v the_o height_n of_o the_o rise_n into_o inch_n as_o 10_o foot_n multiply_v by_o 12_o produce_v 120_o inch_n from_o which_o 4_o inch_n must_v be_v substract_v because_o of_o the_o dead_a rise_n be_v 4_o inch_n so_o then_o the_o height_n be_v 116_o inch_n now_o multiply_v the_o length_n 390_o inch_n by_o itself_o 390_o make_v 152100._o 390_o 390_o 000_o 3510_o 1170_o 152100_o this_o multiplication_n of_o the_o sum_n 152100_o must_v be_v divide_v by_o 116_o inch_n the_o height_n of_o the_o rise_n and_o so_o come_v in_o the_o quotient_a of_o the_o division_n 1311_o inch_n unto_o this_o 1311_o inch_n must_v be_v add_v the_o 116_o inch_n the_o height_n of_o the_o rise_v 116_o 1427_o and_o it_o make_v 1427_o which_o be_v the_o whole_a 112_o 3323_o 46344_o
739600_o 861_o 741321_o 862_o 743044_o 863_o 744769_o 864_o 746396_o 865_o 748225_o 866_o 749956_o 867_o 753689_o 868_o 753824_o 869_o 755161_o 870_o 756900_o 871_o 758641_o 872_o 760384_o 873_o 762129_o 874_o 763776_o 875_o 765625_o 876_o 767376_o 877_o 769129_o 878_o 770884_o 879_o 772641_o 880_o 774400_o 881_o 777161_o 882_o 777924_o 883_o 779589_o 884_o 781456_o 885_o 783225_o 886_o 784996_o 887_o 786769_o 888_o 788544_o 889_o 790321_o 890_o 792100_o 891_o 793081_o 892_o 795664_o 893_o 797449_o 894_o 799236_o 895_o 801025_o 896_o 802816_o 897_o 804609_o 898_o 805904_o 899_o 808201_o 900_o 810000_o 901_o 811801_o 902_o 813604_o 903_o 815400_o 904_o 817216_o 905_o 819025_o 906_o 820836_o 907_o 822649_o 908_o 824464_o 909_o 826281_o 910_o 828100_o 911_o 829921_o 912_o 831741_o 913_o 833569_o 914_o 835369_o 915_o 837225_o 916_o 839056_o 917_o 840789_o 918_o 842724_o 919_o 844561_o 920_o 846400_o 921_o 847241_o 922_o 850084_o 923_o 851929_o 924_o 853746_o 925_o 855625_o 926_o 857476_o 927_o 859329_o 928_o 861●84_n 929_o 863041_o 930_o 864900_o 931_o 866761_o 932_o 868624_o 933_o 870489_o 934_o 872356_o 935_o 874225_o 936_o 876096_o 937_o 877869_o 938_o 879844_o 939_o 881721_o 940_o 883600_o 941_o 885481_o 942_o 886364_o 943_o 889249_o 944_o 881136_o 945_o 893025_o 946_o 894916_o 947_o 896809_o 948_o 898704_o 949_o 900601_o 950_o 902500_o 951_o 904401_o 952_o 906304_o 953_o 908209_o 954_o 910016_o 955_o 912025_o 956_o 913936_o 957_o 915849_o 958_o 917764_o 959_o 919681_o 960_o 921600_o 961_o 923521_o 962_o 926444_o 963_o 928369_o 964_o 929296_o 965_o 931225_o 966_o 933256_o 967_o 935089_o 968_o 937024_o 969_o 939961_o 970_o 940900_o 971_o 942741_o 972_o 944784_o 973_o 946729_o 974_o 948676_o 975_o 950625_o 976_o 952576_o 977_o 954529_o 978_o 956484_o 979_o 958441_o 980_o 960400_o 981_o 962361_o 982_o 964324_o 983_o 966●89_n 984_o 968256_o 985_o 970225_o 986_o 972196_o 987_o 974169_o 988_o 976144_o 989_o 978121_o 990_o 980100_o 991_o 982081_o 992_o 984064_o 993_o 986049_o 994_o 988036_o 995_o 990025_o 996_o 992016_o 997_o 994009_o 998_o 996004_o 999_o 998001_o 1000_o 1000000_o 1001_o 1002001_o 1002_o 1004004_o 1003_o 1006009_o 1004_o 1008016_o 1005_o 1010025_o 1006_o 1012036_o 1007_o 1014049_o 1008_o 1016064_o 1009_o 1018081_o 1010_o 1020100_o 1011_o 1022121_o 1012_o 1024104_o 1013_o 1026196_o 1014_o 1028196_o 1015_o 1030225_o 1016_o 1032256_o 1017_o 1034289_o 1018_o 1036324_o 1019_o 1038361_o 1020_o 1040400_o 1021_o 1042441_o 1022_o 1044484_o 1023_o 1046529_o 1024_o 1048576_o 1025_o 1050625_o 1026_o 1052676_o 1027_o 1054729_o 1028_o 1056784_o 1029_o 1058841_o 1030_o 1060900_o 1031_o 1060961_o 1032_o 1065024_o 1033_o 1067089_o 1034_o 1069156_o 1035_o 1071225_o 1036_o 1073296_o 1037_o 1075369_o 1038_o 1077444_o 1039_o 1079521_o 1040_o 1081600_o 1041_o 1082681_o 1042_o 1085764_o 1043_o 1087●49_n 1044_o 1089936_o 1045_o 1092025_o 1046_o 1094116_o 1047_o 1096209_o 1048_o 1098304_o 1049_o 1100401_o 1050_o 1102550_o 1051_o 1104601_o 1052_o 1106704_o 1053_o 1108809_o 1054_o 1110916_o 1055_o 1113025_o 1056_o 1115136_o 1057_o 1117249_o 1058_o 1119364_o 1059_o 1120489_o 1060_o 1123600_o 1061_o 1125721_o 1062_o 1127844_o 1063_o 1129969_o 1064_o 1132096_o 1065_o 1134225_o 1066_o 1136358_o 1067_o 1138489_o 1068_o 1140624_o 1069_o 1142761_o 1070_o 1144900_o 1071_o 1147041_o 1072_o 1149184_o 1073_o 1151329_o 1074_o 1153476_o 1075_o 1155625_o 1076_o 1157976_o 1077_o 1159929_o 1078_o 1162074_o 1079_o 1164241_o 1080_o 1166400_o 1081_o 1168561_o 1082_o 1170724_o 1083_o 1172889_o 1084_o 1175056_o 1085_o 1177225_o 1086_o 1179396_o 1087_o 1181569_o 1088_o 1183744_o 1089_o 1185921_o 1090_o 1188100_o 1091_o 1190281_o 1092_o 1192464_o 1093_o 1194649_o 1094_o 1196836_o 1095_o 1199025_o 1096_o 1201216_o 1097_o 1203409_o 1098_o 1205604_o 1099_o 1207801_o 1100_o 1210000_o 1101_o 1212201_o 1102_o 1214404_o 1103_o 1216609_o 1104_o 1218816_o 1105_o 1221025_o 1106_o 1223396_o 1107_o 1225449_o 1108_o 1227664_o 1109_o 1229881_o 1110_o 1232100_o 1111_o 1234321_o 1112_o 1236544_o 1113_o 1238769_o 1114_o 1240969_o 1115_o 1242625_o 1116_o 1245459_o 1117_o 1247689_o 1118_o 1249924_o 1119_o 1252161_o 1120_o 1254400_o 1121_o 1256●41_n 1122_o 1258884_o 1123_o 1261029_o 1124_o 1263376_o 1125_o 1265625_o 1126_o 1267876_o 1127_o 1270029_o 1128_o 1272384_o 1129_o 1274641_o 1130_o 1276900_o 1131_o 1279161_o 1132_o 1281426_o 1133_o 1283689_o 1134_o 1285956_o 1135_o 1288225_o 1136_o 1287496_o 1137_o 1292769_o 1138_o 1294094_o 1139_o 1297321_o 1140_o 1299640_o 1141_o 1301881_o 1142_o 1304164_o 1143_o 1306449_o 1144_o 1308736_o 1145_o 1311025_o 1146_o 1313316_o 1147_o 1315509_o 1148_o 1317904_o 1149_o 1320201_o 1150_o 1322500_o 1151_o 1324801_o 1152_o 1327104_o 1153_o 1329409_o 1154_o 1331716_o 1155_o 1334025_o 1156_o 1336336_o 1157_o 1338649_o 1158_o 1340964_o 1159_o 1343381_o 1160_o 1345600_o 1161_o 1347921_o 1162_o 1350244_o 1163_o 1352569_o 1164_o 1354396_o 1165_o 1357225_o 1166_o 1358556_o 1167_o 1361689_o 1168_o 1364124_o 1169_o 1366921_o 1170_o 1368900_o 1171_o 1371240_o 1172_o 1373584_o 1173_o 1375929_o 1174_o 1378276_o 1175_o 1380625_o 1176_o 1382979_o 1177_o 1383329_o 1178_o 1387284_o 1179_o 1390041_o 1180_o 1392400_o 1181_o 1394761_o 1182_o 1397124_o 1183_o 1399489_o 1184_o 1401856_o 1185_o 1404225_o 1186_o 1406606_o 1187_o 1408904_o 1188_o 1411124_o 1189_o 1413711_o 1190_o 1416100_o 1191_o 1418481_o 1192_o 1420864_o 1193_o 1423249_o 1194_o 1425639_o 1195_o 1428025_o 1196_o 1430416_o 1197_o 1432809_o 1198_o 1435204_o 1199_o 1437601_o 1200_o 1440000_o 1201_o 1442401_o 1202_o 1444804_o 1203_o 1447209_o 1204_o 1449616_o 1205_o 1452025_o 1206_o 1454436_o 1207_o 1456849_o 1208_o 1459264_o 1209_o 1461681_o 1210_o 1464100_o 1211_o 1466521_o 1212_o 1468944_o 1213_o 1471369_o 1214_o 1473796_o 1215_o 1476225_o 1216_o 1478656_o 1217_o 1480989_o 1218_o 1483924_o 1219_o 1485961_o 1220_o 1488400_o 1221_o 1490841_o 1222_o 1493244_o 1223_o 1495729_o 1224_o 1498246_o 1225_o 1500125_o 1226_o 1503076_o 1227_o 1505529_o 1228_o 1507984_o 1229_o 1510441_o 1230_o 1512900_o 1231_o 1515361_o 1232_o 1517824_o 1233_o 1520289_o 1234_o 1522656_o 1235_o 1525225_o 1236_o 1527696_o 1237_o 1530169_o 1238_o 1334244_o 1239_o 1535121_o 1240_o 1537600_o 1241_o 15400●1_n 1242_o 1542564_o 1243_o 1545049_o 1244_o 1547536_o 1245_o 1550025_o 1246_o 1552516_o 1247_o 1555009_o 1248_o 1557504_o 1249_o 1560001_o 1250_o 1562500_o 1251_o 1565001_o 1252_o 1567504_o 1253_o 1570009_o 1254_o 1572416_o 1255_o 1575025_o 1256_o 1577536_o 1257_o 1580049_o 1258_o 1582564_o 1259_o 1585081_o 1260_o 1587600_o 1261_o 1590121_o 1262_o 1592644_o 1263_o 1595169_o 1264_o 1597706_o 1265_o 1600225_o 1266_o 1602756_o 1267_o 1605289_o 1268_o 1607824_o 1269_o 1609361_o 1270_o 1612900_o 1271_o 1615441_o 1272_o 1617984_o 1273_o 1620529_o 1274_o 1622076_o 1275_o 1625625_o 1276_o 1628176_o 1277_o 1530729_o 1278_o 1633464_o 1279_o 1635841_o 1280_o 1638400_o 1281_o 1640961_o 1282_o 1643524_o 1283_o 1645989_o 1284_o 1645656_o 1285_o 1651225_o 1286_o 1653796_o 1287_o 1656369_o 1288_o 1658944_o 1289_o 1661521_o 1290_o 1664100_o 1291_o 1666681_o 1292_o 1669264_o 1293_o 1671849_o 1294_o 1674336_o 1295_o 1677025_o 1296_o 1679616_o 1297_o 1682209_o 1298_o 1683804_o 1299_o 1687401_o 1300_o 1690000_o chap._n xi_o show_v how_o to_o hang_v a_o rise_a line_n by_o several_a sweep_v to_o make_v it_o round_a aftward_a then_o at_o the_o begin_n of_o the_o same_o if_o any_o be_v desirous_a to_o have_v a_o rise_a line_n round_a aftward_a than_o it_o be_v at_o the_o foar_a part_n of_o it_o they_o must_v proceed_v thus_o first_o work_n by_o the_o sweep_v that_o they_o will_v have_v first_o and_o then_o begin_v again_o and_o find_v the_o other_o sweep_v that_o they_o will_v have_v the_o round_a a_o example_n of_o this_o will_v make_v it_o more_o plain_a as_o in_o the_o follow_a figure_n will_v appear_v let_v d_o e_o represent_v the_o length_n of_o a_o rise_a line_n e_o i_o the_o height_n thereof_o 8_o foot_n on_o the_o after_o end_n thereof_o first_o i_o find_v the_o sweep_v that_o sweep_v it_o by_o multiply_v of_o 20_o foot_n the_o length_n which_o be_v 240_o inch_n for_o if_o you_o look_v in_o the_o table_n under_o the_o title_n of_o feet-inche_n for_o 20_o foot_n you_o will_v see_v in_o the_o next_o column_n towards_o the_o left_a hand_n 240_o over_o head_n be_v write_v inch_n signify_v that_o in_o 20_o foot_n be_v 240_o inch_n and_o just_a against_o it_o and_o in_o the_o same_o line_n towards_o the_o right_a hand_n under_o the_o title_n of_o square_n you_o will_v see_v write_v 57600_o signify_v that_o the_o square_n of_o 240_o be_v 57600_o these_o number_n you_o will_v find_v in_o the_o second_o page_n of_o the_o table_n and_o the_o last_o line_n the_o seven_o eight_o and_o nine_o column_n this_o square_a number_n 57600_o make_v by_o the_o multiplication_n of_o d_o e_o 240_o inch_n must_v be_v divide_v by_o the_o height_n of_o the_o rise_a line_n assign_v e_o ay_o 8_o foot_n or_o 96_o inch_n so_o remain_v in_o the_o quotient_a 600_o to_o which_o must_v be_v add_v the_o height_n of_o the_o rise_n as_o be_v afore_o teach_v and_o they_o make_v 696_o which_o be_v the_o diameter_n of_o the_o whole_a circle_n the_o half_a thereof_o be_v 348_o inch_n which_o be_v