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e._n what_o degree_n of_o the_o horizon_n be_v cut_v by_o the_o string_n be_v shade_n when_o it_o pass_v throu_fw-fr '_o the_o zenith_n and_o nadir_n which_o we_o will_v suppose_v to_o be_v the_o 50th_o from_o the_o south_n towards_o the_o west_n then_o have_v slip_v out_o to_o a_o equal_a length_n the_o two_o ruler_n from_o under_o your_o pedestal_n hold_v your_o globe_n level_v and_o apply_v the_o say_v ruler_n as_o soon_o as_o you_o can_v to_o your_o plane_n as_o you_o do_v when_o you_o draw_v a_o 82._o horizontal_n line_n and_o find_v again_o the_o azimuth_n which_o now_o be_v for_o example_n 90_o degree_n show_v your_o plane_n decline_v 40_o towards_o the_o east_n because_o the_o azimuth_n be_v now_o increase_v so_o many_o degree_n the_o meridian_n which_o by_o
be_v not_o then_o able_a though_o up_o to_o shine_v upon_o it_o it_o be_v needless_a as_o we_o say_v to_o express_v more_o hour_n line_n it_o be_v the_o describe_v also_o of_o the_o plane_n with_o your_o string_n that_o operation_n bring_v we_o to_o the_o knowledge_n of_o the_o second_o part_n of_o this_o operation_n i_o mean_v the_o know_n at_o all_o time_n when_o the_o sun_n come_v on_o and_o go_v off_o any_o plane_n for_o have_v describe_v one_o decline_a v_o g._n 20_o degree_n eastward_o do_v but_o observe_v what_o diurnal_a parallel_n and_o hour-circle_n intersect_v on_o the_o edge_n of_o your_o plane_n and_o you_o have_v your_o intent_n for_o you_o will_v by_o this_o mean_n see_v that_o though_o the_o sun_n rise_v for_o example_n sake_n on_o the_o 11_o of_o june_n before_o 4_o the_o first_o hour_n circle_n which_o intersect_v with_o this_o parallel_n on_o the_o edge_n of_o the_o plane_n be_v that_o of_o a_o quarter_n before_o six_o whereas_o about_o the_o begin_n of_o may_n he_o 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whereabout_o he_o be_v you_o will_v be_v able_a to_o guess_v the_o hour_n without_o any_o sensible_a error_n for_o the_o say_a brightness_n appear_v on_o the_o bowl_n will_v be_v proportionable_o distant_a from_o the_o sun_n be_v true_a place_n there_o as_o it_o be_v from_o the_o sun_n in_o the_o heaven_n it_o be_v clear_a that_o the_o sun_n picture_n must_v fall_v if_o any_o where_o on_o the_o demonstration_n true_a hour-circle_n because_o by_o compose_v the_o bowl_n according_a to_o the_o true_a position_n of_o the_o heaven_n the_o hour-circle_n of_o the_o one_o concur_v with_o the_o other_o and_o fall_v exact_o in_o the_o same_o plane_n therefore_o be_v your_o eye_n in_o the_o centre_n of_o the_o bowl_n its_o true_a
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the_o rest_n sch._n 3._o sch._n 4._o sch._n 5._o sch._n 6_o sch._n 10._o sch._n 7._o sch._n 9_o sch._n 8._o sch._n 11._o sch._n 12._o sch._n 13_o sch._n 14._o sch._n 15._o sch._n 16._o sch._n 17_o sch._n 18._o sch._n 19_o sch._n 20._o sch._n 21._o sch._n 22._o sch._n 23._o sch._n 25._o sch._n 26._o sch._n 27_o sch._n 24_o sch._n 28_o sch._n 31_o sch._n 32_o sch._n 33_o sch._n 34_o sch._n 35._o sch._n 36._o sch._n 37._o sch._n 39_o sch._n 38_o sch._n 41_o sch._n 42_o sch._n 34_o operation_n i._n before_o you_o proceed_v further_o you_o must_v know_v reader_n that_o the_o printer_n memorandum_n skip_v a_o line_n in_o the_o last_o paragraph_n and_o then_o adjust_v the_o number_n of_o planes_n to_o those_o he_o find_v express_v have_v leave_v out_o two_o so_o that_o the_o before_o mention_v principal_a plane_n be_v 7_o viz._n the_o horizontal_n plane_n the_o direct_a vertical_a plane_n the_o decline_a vertical_a plane_n the_o direct_a recline_a plane_n the_o direct_a incline_v plane_n 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memorandum_n the_o reason_n or_o demonstration_n of_o the_o operation_n a_o memorandum_n why_o 6_o hour_n must_v be_v add_v sometime_o to_o the_o table_n table_n p._n 49._o 49._o p._n 16._o 16._o pag._n 49._o 49._o op._n 7._o sec_fw-la 2._o pag._n 33._o 33._o vid._n op._n 1._o &_o 2._o pag._n 49._o a_o corollary_n a_o example_n a_o memorandum_n memorandum_n sect._n 1_o op._n 2._o p._n 5._o 5._o  _fw-fr 1_o 2._o 3._o 4._o 6._o  _fw-fr 12._o 11._o 10._o 9_o 8._o 7._o 6._o 87._o 93._o 110._o 140._o 200._o 300._o 625._o 625._o op._n 2._o sect._n 1._o pag._n 6._o a_o preliminary_a discourse_n discourse_n pag._n 4._o 4._o pag._n 5._o 5._o pag._n 10_o 10_o ☞_o because_o every_o body_n that_o desire_v to_o know_v these_o and_o the_o follow_a problem_n have_v not_o perchance_o at_o hand_n mr._n gunter_n book_n i_o shall_v add_v they_o to_o this_o treatise_n as_o the_o reader_n will_v find_v at_o the_o end_n of_o it_o j._n moxon_n how_o to_o find_v the_o tangent_fw-la and_o secant_fw-la of_o any_o degree_n demonstration_n a_o memorandum_n the_o construction_n a_o example_n how_o to_o draw_v the_o half_a hour_n quarter_n etc._n etc._n the_o construction_n demonstration_n demonstration_n pag._n 71._o the_o demonstration_n demonstration_n pag._n 4._o a_o memorandum_n memorandum_n pag._n 8._o 8._o pag._n 73._o the_o construction_n the_o construction_n construction_n pag._n 79._o how_o to_o draw_v a_o line_n parallel_n to_o the_o horizon_n and_o how_o to_o place_v true_o the_o draught_n on_o its_o plane_n a_o easy_a way_n how_o to_o place_v any_o paper_n draught_n on_o its_o plane_n a_o memorandum_n demonstration_n a_o memorandum_n some_o few_o thing_n to_o be_v premise_v the_o construction_n of_o a_o east_n dial._n of_o a_o west_n dial._n of_o the_o style_n and_o substilar_n the_o demonstration_n the_o construction_n the_o demonstration_n the_o reason_n of_o the_o
unequal_a distance_n of_o these_o hour-line_n what_o a_o decline_a plane_n be_v the_o construction_n construction_n pag._n 80._o to_o describe_v the_o morning_n hour_n of_o a_o decline_a dial._n to_o describe_v the_o afternoon_n hour_n how_o to_o make_v the_o style_n and_o substilar_n of_o a_o decline_a dial._n a_o memorandum_n the_o construction_n the_o demonstration_n of_o these_o 2_o decline_v dial_n a_o memorandum_n memorandum_n pag._n 84._o another_o demonstration_n demonstration_n pag._n 83._o 83._o pag._n 73._o the_o construction_n construction_n pag._n 23._o 23._o pag_n 8._o the_o construction_n a_o ready_a way_n to_o find_v the_o style_n and_o substile_n of_o a_o decline_a dial._n demonstration_n demonstration_n pag._n 92._o the_o demonstration_n of_o the_o style_n and_o substilar_n substilar_n pag._n 82._o 82._o vid._n pag_n 104._o 104._o vid._n pag_n 105._o the_o construction_n and_o demonstration_n how_o to_o make_v a_o horizontal_n plane_n a_o aequinoctial_a one_o the_o demonstration_n the_o geometrical_a construction_n a_o memorandum_n memorandum_n pag._n 8._o the_o construction_n the_o construction_n and_o demonstration_n of_o a_o decline_a direct_a dial_n face_v the_o south_n a_o direct_a north_n recline_v plane_n plane_n pag._n 89._o how_o to_o describe_v the_o plane_n of_o this_o recline_a dial_n on_o the_o globe_n the_o construction_n a_o memorandum_n of_o the_o style_n and_o substilar_n substilar_n pag._n 82._o another_o demonstration_n the_o construction_n construction_n pag._n 2._o first_o way_n way_n pag._n 4._o 4._o pag._n 4._o the_o second_o way_n the_o first_o part_n of_o the_o operation_n operation_n pag._n 89._o the_o second_o part_n of_o the_o operation_n why_o every_o erect_a style_n or_o perpendicular_a show_v not_o always_o the_o true_a hour_n the_o construction_n construction_n pag._n 89._o the_o demonstration_n demonstration_n pag._n 94._o 94._o pag._n 75._o demonstration_n the_o advantage_n or_o use_n of_o this_o dial._n the_o construction_n demonstration_n another_o dial_n of_o the_o same_o nature_n the_o construction_n the_o demonstration_n the_o construction_n demonstration_n the_o construction_n the_o geometrical_a way_n the_o demonstration_n the_o construction_n the_o demonstration_n demonstration_n pag._n 73._o how_o this_o dial_n be_v to_o be_v make_v when_o the_o window_n lie_v not_o southward_o the_o construction_n of_o it_o as_o to_o the_o hour_n at_o home_n home_n pag._n 73._o the_o construction_n of_o it_o as_o to_o the_o hour_n in_o other_o place_n to_o find_v the_o sun_n place_n and_o day_n of_o the_o month._n to_o find_v the_o rise_n and_o set_v of_o the_o sun_n to_o find_v the_o sun_n amplitude_n to_o find_v the_o height_n of_o the_o sun_n to_o find_v the_o sun_n azimuth_n and_o bear_v to_o find_v the_o proportion_n of_o perpendicular_o to_o their_o shade_n the_o description_n of_o the_o branch_n or_o embellishment_n in_o sheme_n 43._o 43._o p._n 111._o 111._o p._n 112._o 112._o vid._n p._n 113._o 113._o p._n 71._o of_o the_o sector_n sector_n op._n 17._o sect._n 1._o pag._n 19_o a_o memorandum_n memorandum_n p._n 6._o 6._o p._n 68_o 68_o op._n 5._o way_n 2._o p._n 10._o a_o memorandum_n of_o the_o first_o plane_n and_o its_o bigness_n of_o the_o circle_n and_o star_n on_o it_o and_o how_o they_o be_v place_v of_o the_o second_o plane_n and_o its_o bigness_n bigness_n p._n 6._o 6._o p._n 68_o 68_o p._n 132._o two_o memorandum_n the_o principle_n on_o which_o this_o projection_n depend_v of_o the_o concentric_a circle_n the_o general_a rule_n for_o project_v the_o great_a oblique_a circle_n of_o project_v the_o ecliptic_a of_o project_v the_o horizon_n of_o project_v the_o primary_n vertical_a of_o project_v the_o rest_n of_o the_o azimuth_n a_o expedite_a way_n of_o find_v the_o say_a centre_n and_o radius_fw-la lemma_n 1._o 1._o eucl._n 27._o 1_o 1_o 6._o 1._o lemma_n 2._o 2._o eucl._n 27._o 1._o 1._o 6._o 1._o the_o ecliptic_a true_o project_v a_o memorandum_n the_o way_n of_o describe_v g._n frisius_n meridian_n the_o way_n of_o describe_v g._n f._n hia_fw-la parallel_n how_o to_o describe_v the_o circle_n of_o altitude_n on_o the_o 2_o plane_n plane_n p._n 138_o and_o 139._o 139._o p._n â—_o first_o kind_n kind_n pag._n 4._o 4._o p_o 8._o &_o 15._o 15._o pag._n 13._o 13._o p._n 31._o 31._o pag._n 36._o 36._o pag._n 39_o 39_o p._n 40._o 40._o p._n 35._o 35._o p._n 5._o 5._o p._n 37._o 37._o p._n 10._o 10._o p._n 11._o 11._o p._n 21._o 21._o p._n 51._o 51._o p._n 65._o 65._o p._n 70._o a_o memorandum_n memorandum_n p._n 8._o 2d_o kind_n kind_n p._n 18._o 18._o p._n 9_o 3_o kind_n kind_n p._n 14._o 14._o p._n 15._o 15._o p._n 35._o 35._o p._n 13._o 13._o p._n 11._o 11._o p._n 10._o &_o 12_o 12_o p._n 16._o 16._o p._n 17._o 17._o p._n 19_o 19_o p._n 17._o 17._o p._n 33._o 33._o p._n 33._o 33._o p._n 34._o 34._o p._n 36._o 36._o p._n 31._o four_o kind_n