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00_o 7_o 48_o e_z 43_o 25_o 8_o 92_o f_o 80_o 00_o 6_o 08_o g_z 59_o 25_o 9_o 73_o 5._o have_v thus_o take_v the_o angles_n and_o distance_n in_o the_o field_n to_o protract_v the_o same_o on_o paper_n or_o parchment_n can_v be_v difficult_a for_o if_o you_o draw_v a_o line_n at_o pleasure_n as_o ebb_v represent_v the_o diameter_n of_o your_o instrument_n about_o the_o middle_n thereof_o as_o at_o a_o mark_v a_o mark_n and_o open_v your_o compass_n to_o 60_o degree_n in_o your_o line_n of_o chord_n upon_o a_o as_o a_o centre_n describe_v a_o circle_n then_o lay_v your_o field_n book_n before_o you_o see_v that_o your_o first_o observattion_n cut_v no_o degree_n there_o be_v no_o degree_n to_o be_v mark_v out_o in_o the_o circle_n but_o the_o degree_n at_o c_o be_v 40.75_o which_o be_v take_v from_o your_o line_n of_o chord_n you_o must_v set_v they_o from_o h_n to_o i_o and_o draw_v the_o line_n ai._n the_o degree_n at_o d_o be_v 96_o which_o must_v in_o like_a manner_n be_v set_v 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do_v by_o the_o plain_a table_n yet_o as_o i_o judge_v it_o may_v be_v more_o convenient_o do_v by_o the_o theodolite_a in_o these_o case_n thereof_o i_o chief_o commend_v that_o instrument_n i_o know_v some_o use_n a_o mariner_n compass_n but_o the_o work_n with_o a_o needle_n be_v not_o only_o troublesome_a but_o many_o time_n uncertain_a yet_o if_o a_o needle_n be_v join_v with_o the_o theodolite_a the_o joint_a observation_n of_o the_o angle_n may_v serve_v to_o confirm_v one_o another_o 2._o suppose_v the_o fig._n 32._o to_o be_v a_o large_a wood_n who_o plot_n you_o desire_v to_o take_v have_v place_v your_o instrument_n at_o the_o angle_n a_o lay_v your_o ruler_n on_o the_o diameter_n thereof_o turn_v the_o whole_a instrument_n till_o through_o the_o sight_n you_o espy_v the_o angle_n at_o k_o then_o fasten_v it_o there_o and_o turn_v your_o ruler_n upon_o the_o centre_n till_o through_o the_o sight_n you_o espy_v your_o second_o mark_n at_o b_o the_o degree_n cut_v by_o the_o ruler_n do_v give_v the_o quantity_n of_o that_o angle_n back_o suppose_v 125_o degree_n and_o the_o line_n ab_fw-la 6_o chain_n 45_o link_n which_o you_o must_v note_v in_o your_o field-book_n as_o be_v show_v before_o 3._o then_o remove_v your_o instrument_n to_o b_o and_o lay_v your_o ruler_n upon_o the_o diameter_n thereof_o turn_v it_o about_o till_o through_o the_o sight_n you_o can_v espy_v your_o three_o mark_n at_o c_o and_o there_o fasten_v your_o instrument_n then_o turn_v the_o ruler_n backward_o till_o through_o the_o sight_n you_o see_v the_o angle_n at_o a_o the_o degree_n cut_v by_o the_o ruler_n be_v 106.25_o the_o quantity_n of_o the_o angle_n abc_n and_o the_o line_n bc_n contain_v 8_o chain_n and_o 30_o link_n which_o note_n in_o your_o field-book_n as_o before_o 4._o remove_v your_o instrument_n unto_o c_o and_o lay_v the_o ruler_n on_o the_o diameter_n thereof_o turn_v the_o instrument_n about_o till_o through_o the_o sight_n you_o see_v the_o angle_n at_o d_o and_o fix_v of_o it_o there_o turn_v the_o ruler_n upon_o the_o centre_n till_o you_o see_v your_o last_o station_n at_o b_o and_o observe_v the_o degree_n cut_v thereby_o which_o suppose_v to_o be_v 134_o degree_n and_o the_o line_n cd_o 6_o chain_n 65_o link_n which_o must_v be_v enter_v into_o your_o field-book_n also_o and_o because_o the_o angle_n bcd_n be_v a_o inward_a angle_n note_v it_o with_o the_o mark_n for_o your_o better_a remembrance_n 5._o remove_v your_o instrument_n unto_o d_o and_o jay_v the_o ruler_n on_o the_o diameter_n turn_v the_o instrument_n about_o till_o through_o the_o sight_n you_o see_v the_o angle_n at_o e_o and_o there_o fix_v your_o instrument_n turn_v your_o ruler_n backward_o till_o you_o espy_v the_o mark_n at_o c_o where_o the_o degree_n cut_v be_v suppose_v 68.0_o and_o the_o line_n de_fw-fr 8_o chain_n and_o 23_o link_n 6._o remove_v your_o instrument_n unto_o e_o and_o lay_v the_o ruler_n on_o the_o diameter_n turn_v the_o instrument_n about_o 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where_o fix_v the_o same_o and_o turn_v the_o ruler_n backward_o till_o you_o see_v the_o angle_n at_o f_o where_o the_o degree_n cut_v by_o the_o ruler_n be_v 65.25_o and_o the_o line_n gh_n 5_o chain_n 50_o link_n 9_o remove_v your_o instrument_n in_o like_a manner_n to_o h_n and_o k_n and_o take_v thereby_o the_o angle_n and_o distance_n as_o before_o and_o have_v thus_o make_v observation_n at_o every_o angle_n in_o the_o field_n set_v they_o down_o in_o your_o field-book_n as_o be_v before_o direct_v the_o which_o in_o our_o present_a example_n will_v be_v as_o follow_v a_o 151.00_o 6.45_o b_o 106.25_o 8.30_o c_o 134.00_o 6.65_o d_o 68.00_o 8.23_o e_z 125.00_o 7.45_o f_o 70.25_o 4.15_o g_z 65.25_o 5.50_o h_n 130.00_o 6.50_o k_o 140.00_o 11.00_o the_o take_n of_o the_o inward_a angle_n bcd_v and_o efg_n be_v more_o for_o conformity_n sake_n than_o any_o necessity_n you_o may_v have_v remove_v your_o instrument_n from_o b_o to_z d_o from_o e_z to_z g_z the_o length_n of_o the_o line_n bc._n cd_o of_o and_o g_z will_v have_v give_v by_o protraction_n the_o plot_n of_o the_o field_n without_o take_v these_o angle_n by_o observation_n many_o other_o compendious_a way_n of_o work_v there_o be_v which_o i_o shall_v leave_v to_o the_o discretion_n of_o the_o ingenious_a practitioner_n 10._o the_o angles_n and_o side_n of_o the_o field_n be_v thus_o take_v to_o lay_v down_o the_o same_o upon_o paper_n parchment_n another_o instrument_n call_v a_o protractor_n be_v convenient_a the_o which_o be_v so_o well_o know_v to_o instrument-maker_n that_o i_o shall_v not_o need_v here_o to_o describe_v it_o the_o chief_a use_n be_v to_o lay_v down_o angle_n
t._n 72._o 195._o 10.49327695_o t_o ½_o x_o cru_n 69._o 306._o 10.42281009_o 2._o operation_n c_n ½_o z_o 80._o 49596._o comp._n arith._n 0.78170174_o c_n ½_o x_o 56._o 97096._o 9.73628614_o their_o sum_n 10.51798788_o to_o ½_o ♈_o t._n 72._o 195._o 10.49327695_o t_o ½_o z_o cru_n 84._o 34._o 11.01126483_o 1._o arch._n 69._o 306._o their_o sum_n be_v 53.740_o be_v the_o point_n of_o the_o ecliptic_a for_o the_o second_o house_n for_o the_o cusp_n of_o the_o three_o house_n in_o the_o oblique_a angle_a spherical_a triangle_n ♈_o 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d we_o have_v 1._o ♈_o 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 174._o 39_o the_o half_a whereof_o be_v 87._o 195._o the_o angl_n ♈_o 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d and_o 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d ♈_o 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d be_v the_o same_o with_o those_o of_o the_o eleven_o house_n s_o ½_o z._n 72._o 85437._o comp._n arith._n 0.01977580_o s_o ½_o 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 49._o 32937._o 6.88000800_o their_o sum_n 9.89978389_o to_o ½_o 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 87._o 195._o 11.30984054_o for_o the_o eleven_o house_n for_o the_o cusp_n of_o the_o twelve_o house_n in_o the_o oblique_a angle_a spherical_a triangle_n ♈_o kf_n we_o have_v give_v 1._o 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d k._n 84._o 39_o the_o half_a whereof_o be_v 42._o 195._o 2._o ♈_o kt._n 137.46692_o  _fw-fr 3_o k_o ♈_o t._n 23.525_o to_o find_v ♈_o t._n z._n 160.99192_o ½_o z._n 80.49596_o x._o 113.94192_o ½_o x._o 56.97096_o s_o ½_o z._n 80._o 49596._o comp._n arith._n 0.00601663_o s_o ½_o x._o 56._o 97096._o 9.92351651_o t_o ½_o ♈_o k._n 42._o 195._o 9.95740882_o t_o ½_o x_o cru_n 37._o 625._o 9.88694196_o 2._o operation_n cs_n ½_o z._n 80._o 49596._o comp._n arith._n 0.78170174_o c_n ½_o x._o 56._o 97096._o 9.73628614_o t_o ½_o ♈_o k._n 42._o 195._o 9.95740882_o t_o ½_o z_o cru_n 71._o 496._o 10.47539670_o 1._o arch._n 37._o 625._o their_o sum_n 113.6691_o be_v the_o point_n of_o the_o ecliptic_a for_o the_o twelve_o house_n for_o the_o cusp_n of_o the_o ascendant_n in_o the_o oblique_a angle_a spherical_a triangle_n ♈_o agnostus_n we_o have_v 1._o ♈_o a._n 114._o 39_o the_o half_a whereof_o be_v 57_o 195._o 2._o ♈_o az_n 141._o 5333._o the_o compliment_n of_o haae_n 38._o 46667._o 3._o a_o 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d y._n 23._o 525._o  _fw-fr z._n 165.05833_o ½_o z._n 82.51916_o x._o 118.00833_o ½_o x._o 59.00416_o s._n ½_o z._n 82._o 51916._o comp._n arith._n 0_o 0037162â—_n s._n ½_o x._o 59_o 00416._o 9.93313477_o t_o ½_o ♈_o a._n 57_o 195._o 10.19072348_o t_o ½_o x._o 53._o 296._o 10.12757454_o 2._o operation_n t_o ½_o x_o cru_n 86._o 468._o 11.20962043_o 2._o operation_n c_n ½_o z._n 72._o 85437._o comp._n arith._n 0.53012277_o c_n ½_o x._o 49._o 32937._o 9.81395860_o their_o sum_n 10.34408137_o to_o ½_o ♈_o 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 〈◊〉_d 87._o 195._o 11.39984054_o t_o ½_o x_o cru_n 88_o 729._o 11.65392191_o 1._o arch._n 86._o 468._o their_o sum_n 175.197_o be_v the_o point_n of_o the_o ecliptic_a for_o the_o three_o house_n and_o thus_o we_o have_v not_o only_o erect_v a_o figure_n for_o the_o time_n give_v but_o compose_v a_o table_n for_o the_o general_a erect_n of_o a_o figure_n in_o that_o beatitude_n for_o by_o add_v together_o the_o first_o and_o second_o number_n in_o each_o proportion_n for_o the_o first_o second_o and_o three_o house_n there_o be_v compose_v two_o number_n for_o each_o house_n to_o each_o of_o which_o the_o artificial_a tangent_fw-la of_o half_a the_o ascension_n of_o each_o house_n be_v add_v their_o aggregate_n be_v the_o tangent_n of_o two_o arch_n which_o be_v add_v together_o do_v give_v the_o distance_n of_o the_o cusp_n of_o the_o house_n from_o the_o first_o point_n of_o aries_n as_o in_o the_o precede_a operation_n have_v be_v show_v only_o note_n that_o if_o the_o ascension_n of_o any_o house_n be_v more_o than_o a_o semicircle_n you_o must_v take_v the_o tangent_fw-la of_o half_a the_o compliment_n to_o a_o whole_a circle_n and_o to_o find_v the_o cusp_n of_o the_o house_n you_o must_v also_o take_v the_o compliment_n of_o the_o sum_n of_o the_o arch_n add_v together_o the_o number_n according_a to_o the_o former_a operation_n which_o do_v constitute_v a_o table_n of_o house_n for_o the_o latitude_n of_o london_n 51._o 53_o be_v as_o follow_v  _fw-fr 11_o and_o 3_o house_n ascendant_n 12_o and_o 2_o house_n 1._o oper._n 9.89978389_o 9.93685106_o 9.92953314_o 2._o oper._n 10.34408137_o 10.59682651_o 10.51798788_o the_o six_o oriental_a house_n by_o the_o precede_a operation_n the_o opposite_a house_n be_v in_o the_o opposite_a sign_n and_o degree_n 10_o house_n ♈_o 26.311_o 11_o house_n ♊_o 10.803_o 12_o house_n ♋_o 23.691_o ascendant_n ♌_o 11.693_o 2_o house_n â™_o 3.740_o 3_o house_n â™_o 25.197_o 4_o house_n ♎_o 26.311_o 5_o house_n â™_o 10.803_o 9_o house_n ♑_o 23.691_o 7_o house_n â™’_o 11.693_o 8_o house_n ♓_o 3.740_o 9_o house_n ♓_o 25.197_o a_o figure_n of_o the_o twelve_o celestial_a house_n astronomy_n the_o second_o part_n or_o 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which_o the_o planet_n do_v finish_v their_o periodical_a revolution_n from_o one_o certain_a point_n in_o the_o zodiac_n to_o the_o same_o again_o and_o this_o in_o reference_n to_o the_o sun_n be_v call_v a_o year_n in_o reference_n to_o the_o moon_n a_o month._n 4._o the_o sun_n do_v pass_v through_o the_o zodiac_n in_o 365_o day_n 5_o hour_n and_o 49_o minute_n and_o the_o moon_n do_v finish_v her_o course_n in_o the_o zodiac_n and_o return_v into_o conjunction_n with_o the_o sun_n in_o 29_o day_n 12_o hour_n 44_o minute_n and_o 4_o second_o and_o from_o the_o motion_n of_o these_o two_o planet_n the_o civil_a year_n in_o every_o nation_n do_v receive_v its_o institution_n 5._o twelve_o moon_n or_o month_n be_v the_o measure_n of_o the_o common_a year_n in_o turkey_n in_o every_o month_n they_o have_v 29_o or_o 30_o day_n in_o the_o whole_a year_n 354_o day_n and_o in_o every_o three_o year_n 355_o day_n 6._o the_o persian_n and_o egyptian_n do_v also_o account_v 12_o month_n to_o their_o year_n but_o their_o month_n be_v proportion_v to_o the_o time_n of_o the_o sun_n continuance_n in_o every_o of_o the_o twelve_o sign_n in_o their_o year_n therefore_o which_o be_v solar_a there_o be_v always_o 365_o day_n that_o be_v eleven_o day_n more_o than_o the_o lunar_a year_n 7._o and_o the_o julian_n year_n which_o be_v the_o account_n of_o all_o christendom_n do_v differ_v from_o the_o other_o in_o this_o that_o by_o reason_n of_o the_o sun_n excess_n in_o motion_n above_o 365_o day_n which_o be_v 5_o hour_n 49_o minute_n it_o have_v a_o day_n intercalate_v once_o in_o 4_o year_n and_o by_o this_o intercalation_n it_o be_v more_o agreeable_a to_o the_o motion_n of_o the_o sun_n than_o the_o former_a and_o yet_o there_o be_v a_o considerable_a difference_n between_o they_o which_o have_v occasion_v the_o church_n of_o rome_n to_o make_v some_o further_a amendment_n of_o the_o solar_a year_n but_o have_v not_o bring_v it_o to_o that_o exactness_n which_o may_v be_v wish_v 8._o this_o intercalation_n of_o one_o day_n once_o in_o 4_o year_n do_v occasion_n the_o sunday_n letter_n still_o to_o alter_v till_o 28_o year_n be_v go_v about_o the_o day_n of_o the_o week_n which_o use_n to_o be_v sign_v by_o the_o seven_o first_o letter_n in_o the_o alphabet_n do_v not_o fall_v alike_o in_o every_o common_a year_n but_o because_o the_o year_n consist_v of_o 52_o week_n and_o one_o day_n sunday_n this_o year_n will_v fall_v out_o upon_o the_o next_o year_n monday_n and_o so_o forward_o for_o seven_o year_n but_o every_o four_o year_n consist_v of_o 52_o week_n and_o two_o day_n do_v occasion_n the_o sunday_n letter_n to_o alter_v till_o four_o time_n seven_o year_n that_o be_v till_o 28_o year_n