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end_n draw_v line_n perpendicular_a 3,095 5 14.0786 5 true
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ID Title Author Corrected Date of Publication (TCP Date of Publication) STC Words Pages
A51551 Practical perspective, or, Perspective made easie teaching [brace] by the opticks, how to delineate all bodies, buildings, or landskips, &c., by the catoptricks, how to delineate confused appearences, so as when seen in a mirror or pollisht body of any intended shape, the reflection shall shew a designe, by the dioptircks [sic], how to draw parts of many figures into one, when seen through a glass or christal cut into many faces : usefull for all painters, engravers, architects, &c., and all others that are any waies inclined to speculatory ingenuity / by Joseph Moxon ... Moxon, Joseph, 1627-1691. 1670 (1670) Wing M3018; ESTC R37714 59,240 117

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design_a station_n must_v exceed_v the_o object_n place_v just_a above_o the_o horizontal_n line_n in_o such_o proportion_n as_o the_o tangent_fw-la of_o that_o arch_n do_v the_o tangent_fw-la of_o the_o arch_a just_a above_o the_o horizontal_n line_n this_o rule_n be_v very_o brief_a and_o perhaps_o may_v not_o be_v understand_v by_o all_o speculator_n in_o perspective_n therefore_o i_o shall_v a_o little_a enlarge_v hereon_o because_o it_o be_v of_o eminent_a concernment_n in_o the_o true_a see_v judge_v and_o make_v of_o figure_n have_v design_v your_o distance_n from_o the_o wall_n set_v it_o off_o from_o the_o point_n your_o ey_fw-mi be_v place_v in_o then_o set_v one_o foot_n of_o your_o compass_n in_o that_o point_n and_o with_o the_o other_o describe_v the_o arch_n of_o a_o circle_n and_o divide_v it_o into_o so_o many_o equal_a part_n as_o you_o please_v so_o shall_v the_o ray_n that_o proceed_v from_o your_o ey_fw-mi continue_v to_o the_o wall_n show_v on_o the_o wall_n in_o what_o proportion_n the_o object_n ought_v to_o increase_v to_o appear_v so_o large_a as_o a_o object_n that_o be_v to_o be_v place_v just_a before_o you_o on_o the_o horizontal_n line_n for_o example_n your_o distance_n from_o the_o wall_n be_v a_o b_o therefore_o at_o the_o point_n a_o describe_v the_o arch_n 1_o 2_o 3_o 4_o etc._n etc._n which_o you_o may_v divide_v into_o so_o many_o equal_a part_n as_o you_o please_v and_o by_o lay_v a_o straight_a ruler_n on_o the_o point_n a_o and_o on_o every_o one_o of_o those_o devision_n that_o straight_o ruler_n will_v point_v out_o on_o the_o wall_n or_o on_o the_o line_n b_o c_o which_o represent_v a_o perpendicular_a line_n on_o the_o wall_n the_o several_a size_n that_o a_o object_n be_v to_o be_v of_o place_v on_o those_o several_a height_n to_o make_v it_o appear_v equal_a to_o the_o object_n place_v just_a above_o the_o horizontal_n line_n but_o that_o great_a master_n albert_n durer_n have_v very_o handsome_o handle_v this_o operation_n in_o a_o erect_a pillar_n wherein_o he_o have_v make_v a_o inscription_n in_o letter_n thereby_o demonstrate_v how_o much_o those_o letter_n that_o stand_v high_a above_o the_o ey_fw-mi must_v be_v make_v big_a than_o those_o that_o lie_v near_o the_o horizontal_n line_n as_o you_o may_v see_v by_o this_o annex_v inscription_n have_v thus_o perform_v the_o operation_n you_o will_v see_v how_o much_o big_a the_o letter_n far_o above_o the_o ey_fw-mi be_v than_o those_o that_o lie_v near_o to_o the_o ey_fw-mi and_o this_o rule_n be_v to_o be_v observe_v not_o only_o in_o the_o magnify_n of_o letter_n thus_o place_v one_o above_o another_o but_o also_o in_o magnify_v of_o figure_n to_o be_v place_v one_o above_o another_o on_o a_o wall_n be_v they_o either_o paint_a or_o carve_v operation_n xxxiii_o to_o describe_v in_o perspective_n a_o pair_n of_o wind_v stair_n hitherto_o we_o have_v imagine_v the_o glass_n to_o be_v place_v perpendicular_a to_o the_o base_a and_o therefore_o as_o have_v be_v say_v in_o chap._n iii_o those_o line_n of_o a_o figure_n that_o in_o a_o geometric_a figure_n be_v perpendicular_o be_v in_o the_o scenographie_n also_o perpendicular_n as_o here_o be_v see_v in_o these_o wind_a stair_n where_o because_o these_o stair_n shall_v diminish_v upward_o the_o glass_n be_v place_v oblique_a to_o the_o base_a but_o to_o the_o matter_n this_o geometric_a ichnographie_n be_v divide_v into_o sixteen_o equal_a part_n as_o 1_o 2_o 3_o 4_o 5_o etc._n etc._n which_o represent_v sixteen_o step_n that_o wind_n once_o about_o the_o newel_n therefore_o reduce_v this_o geometric_a ground-plain_a into_o scenographie_n as_o you_o be_v teach_v in_o operat_fw-la x._o by_o erect_v perpendicular_o into_o the_o base_a etc._n etc._n and_o mark_v the_o scenographick_a ichnographie_n with_o the_o same_o figure_n the_o orthographick_n be_v then_o on_o the_o middle_n of_o the_o scenographick_a ichnographie_n at_o the_o point_n 13_o erect_v the_o perpendicular_a 13_o a_o and_o divide_v it_o into_o so_o many_o equal_a part_n as_o you_o please_v or_o intend_v to_o have_v step_n and_o erect_v another_o line_n on_o the_o same_o point_n 13_o into_o the_o point_n of_o diminution_n as_o 13_o b_o then_o from_o every_o one_o of_o these_o devision_n on_o the_o perpendicular_a 13_o a_o draw_v a_o visual_a ray_n from_o the_o visual_a point_n c_o to_o the_o line_n of_o diminution_n 13_o b_o and_o from_o the_o point_n where_o those_o visual_a ray_n cut_v this_o line_n of_o diminution_n 13_o b_o draw_z paralle_n to_o the_o base_a into_o the_o middle_n of_o the_o newel_n and_o those_o parallel_n shall_v show_v the_o distance_n or_o height_n of_o every_o step_v one_o above_o the_o other_o on_o the_o newel_n and_o for_o the_o distance_n or_o height_n of_o the_o further_a end_n of_o every_o step_v you_o must_v erect_v a_o perpendicular_a on_o the_o extreme_a point_n of_o the_o ichnographie_n as_o d_o e_z of_o the_o same_o length_n your_o newel_n be_v and_o divide_v it_o into_o so_o many_o equal_a part_n as_o you_o have_v step_n or_o as_o your_o newel_n be_v divide_v into_o unequal_a part_n as_o f_z g_o h_o i_o k_o etc._n etc._n to_o it_o and_o from_o the_o visual_a point_n draw_v visual_a ray_n through_o every_o one_o of_o they_o to_o intersect_v every_o respective_a line_n of_o diminution_n raise_v out_o of_o the_o ichnographie_n so_o shall_v parallel_n draw_v from_o every_o intersection_n show_v the_o height_n of_o the_o further_a end_n of_o every_o respective_a step_n as_o the_o first_o intersection_n be_v make_v on_o the_o first_o line_n of_o diminution_n d_o 17_o at_o 1_o therefore_o a_o parallel_n draw_v from_o the_o point_n 1_o where_o the_o first_o visual_a ray_n intersect_v the_o parallel_n line_n 1_o shall_v show_v the_o height_n of_o the_o further_a end_n of_o the_o first_o step._n the_o second_o visual_a ray_n be_v draw_v into_o the_o second_o line_n of_o diminution_n to_o the_o line_n 2_o therefore_o the_o parallel_n draw_v from_o that_o point_n shall_v show_v the_o height_n of_o the_o further_a end_n of_o the_o second_o step._n the_o like_a be_v to_o be_v understand_v of_o all_o the_o other_o step_v then_o for_o the_o length_n of_o every_o step_n instead_o of_o erect_v a_o perpendicular_a on_o the_o several_a point_n of_o the_o ichnographie_n to_o find_v they_o as_o you_o have_v be_v often_o teach_v before_o draw_v several_a line_n from_o the_o point_n of_o diminution_n which_o be_v in_o the_o top_n of_o the_o newel_n into_o every_o one_o of_o those_o devision_n on_o the_o ichnographie_n and_o those_o line_n of_o diminution_n shall_v bound_v every_o respective_a step_n as_o that_o raise_v out_o of_o the_o point_n 1_o of_o the_o ichnographie_n shall_v show_v the_o length_n of_o the_o first_o step._n that_o raise_v out_o of_o the_o point_n 2_o of_o the_o ichnographie_n show_v the_o length_n of_o the_o second_o step_n and_o so_o for_o all_o the_o rest_n operation_n xxxiiii_o show_v the_o further_a process_n of_o the_o last_o operation_n because_o the_o multiplicity_n of_o line_n in_o the_o last_o figure_n may_v somewhat_o confound_v a_o practitioner_n here_o be_v insert_v another_o figure_n of_o a_o pair_n of_o wind_a stair_n quite_o finish_v make_v by_o the_o precept_n of_o the_o last_o operation_n so_o that_o the_o line_n that_o be_v in_o the_o last_o figure_n encumber_v with_o other_o line_n appear_v naked_a here_o and_o the_o place_n of_o the_o shadow_n which_o there_o be_v troublesome_a to_o find_v out_o be_v here_o visible_a to_o the_o ey_fw-mi herein_o as_o before_o you_o have_v two_o turn_n about_o the_o newel_n and_o the_o whole_a design_n project_v forward_o if_o you_o will_v have_v more_o turn_n about_o the_o newel_n you_o must_v divide_v the_o two_o line_n of_o diminution_n on_o each_o side_n into_o so_o many_o the_o more_o part_n as_o you_o be_v teach_v in_o the_o last_o operation_n operation_n xxxv_o the_o description_n of_o a_o pair_n of_o double_a stair_n whereon_o two_o person_n the_o one_o ascend_v the_o other_o descend_v shall_v not_o come_v at_o one_o another_o these_o double_a stair_n be_v inserse_v as_o a_o piece_n of_o rarity_n and_o describe_v only_o in_o orthography_n and_o not_o by_o the_o strict_a rule_n of_o perspective_n lest_o with_o many_o line_n the_o work_n shall_v be_v obscure_v yet_o such_o as_o list_v to_o be_v curious_a therein_o may_v in_o the_o last_o and_o several_a other_o operation_n find_v rule_n whereby_o they_o may_v effect_v their_o purpose_n describe_v a_o circle_n or_o which_o be_v equivalent_a a_o semicircle_n for_o the_o ichnographie_n as_o 1_o 2_o 3_o etc._n etc._n to_o 13_o and_o in_o it_o describe_v a_o small_a circle_n as_o a_o b_o c_o for_o the_o bigness_n of_o the_o newel_n then_o divide_v the_o great_a semicircle_n into_o twelve_o equal_a part_n as_o 1_o 2_o 3_o to_z 13_o and_o
draw_v line_n from_o those_o devision_n into_o the_o semicircle_n make_v for_o the_o bigness_n of_o the_o newel_n so_o will_v that_o semicircle_n also_o be_v divide_v into_o twelve_o equal_a part_n then_o on_o every_o one_o of_o the_o point_n in_o the_o great_a semicircle_n erect_v perpendicular_o and_o those_o perpendicular_o shall_v show_v the_o end_n of_o each_o respective_a step._n as_o the_o perpendicular_a at_o 1_o 1_o bound_n the_o outward_a end_n of_o the_o first_o step_n the_o perpendicular_a at_o 2_o 2_o bound_n the_o second_o step_v etc._n etc._n to_o 24._o which_o make_v good_a a_o whole_a circle_n in_o the_o ichnographie_n and_o perpendicular_o erect_v from_o the_o inner_a semicircle_n mark_n on_o the_o newel_n the_o end_n of_o the_o same_o step_n work_v the_o same_o way_n with_o the_o step_v on_o your_o right_a hand_n you_o may_v perceive_v that_o the_o wind_a of_o these_o step_n about_o the_o newel_n may_v proper_o be_v compare_v to_o the_o wind_a of_o a_o thread_n about_o the_o spindle_n of_o a_o screw_n and_o that_o as_o those_o spindle_n that_n have_v but_o one_o thread_n wind_n not_o so_o sudden_o about_o the_o spindle_n as_o those_o that_o have_v two_o thread_n so_o these_o stair_n have_v two_o ascent_n each_o begin_v diametrical_o opposite_a to_o the_o other_o wind_n more_o sudden_o about_o than_o those_o that_o have_v but_o one_o ascent_n and_o therefore_o it_o be_v requisite_a the_o whole_a circle_n be_v divide_v into_o twenty_o four_o part_n for_o these_o sort_n of_o stair_n when_o as_o other_o stair_n have_v the_o ichnographie_n divide_v but_o into_o twelve_o or_o sixteen_o equal_a part_n the_o newel_n be_v pierce_v through_o in_o several_a place_n only_o to_o let_v in_o light_n who_o be_v the_o first_o inventor_n of_o these_o stair_n be_v not_o well_o know_v but_o at_o sciamburg_n in_o france_n in_o the_o king_n palace_n be_v a_o pair_n of_o they_o make_v by_o piedro_n deal_v bergo_n and_o ichan_n cousin_n they_o be_v also_o set_v forth_o by_o vignola_n in_o his_o book_n of_o perspective_n from_o whence_o this_o be_v take_v operation_n xxxvi_o to_o delineate_v in_o perspective_n a_o platform_n with_o column_n pilaster_n rail_n and_o bannester_n as_o it_o be_v see_v from_o above_o where_o the_o ey_fw-mi be_v place_v direct_o over_o it_o at_o some_o reasonable_a height_n you_o be_v show_v in_o operat_fw-la xxvi_o that_o a_o object_n place_v farbove_o the_o ey_fw-mi deminish_v it_o be_v the_o same_o thing_n with_o a_o object_n place_v far_o below_o the_o ey_fw-mi for_o as_o you_o be_v tell_v in_o chap._n ii_o desin_n iii_o the_o visual_a ray_n do_v at_o last_o meet_v in_o a_o point_n therefore_o in_o this_o operat_fw-la the_o ay_o being_n place_v above_o the_o edisice_n the_o upper_a rail_n seem_v large_a and_o wide_a than_o the_o under_o rail_n and_o the_o bannester_n under_o the_o upper_a rail_n in_o a_o b_o c_o d_o appear_v great_a than_o the_o bannester_n in_o e_o f_o g_o h_o because_o the_o upper_a rail_n and_o bannester_n lie_v near_o the_o ey_fw-mi than_o the_o under_o and_o so_o gradual_o the_o object_n deminish_v till_o you_o come_v to_o the_o platform_n i_o k_o l_o m_o on_o which_o platform_n you_o may_v note_v that_o the_o square_a devision_n be_v fifteen_o in_o length_n and_o ten_o in_o breadth_n be_v all_o equal_a among_o themselves_o because_o the_o glass_n be_v place_v parallel_n to_o the_o horizon_n and_o as_o you_o be_v tell_v in_o chap._n ii_o desin_n vi_o where_o the_o glass_n be_v parallel_n to_o the_o horizon_n all_o object_n on_o the_o horizon_n have_v a_o true_a orthographick_a appearance_n but_o where_o the_o glass_n be_v erect_v to_o cut_v the_o horizon_n the_o object_n seem_v a_o wry_a and_o shorten_v proportionable_a to_o the_o angle_n the_o glass_n make_v with_o the_o horizon_n and_o so_o produce_v a_o scenographick_a appearance_n for_o for_o this_o cause_n you_o have_v the_o platform_n orthography_n and_o the_o structure_n thereon_o erect_v scenographie_n for_o as_o be_v say_v the_o platform_n lie_v parallel_v to_o the_o glass_n but_o the_o structure_n be_v perpendicular_o erect_v thereon_o this_o be_v right_o understand_v you_o have_v already_o learn_v the_o make_v this_o edisice_n for_o this_o structure_n of_o rail_n bannester_n pilaster_n and_o column_n be_v erect_v on_o the_o four_o side_n of_o the_o base_a of_o the_o platform_n by_o visual_a ray_n draw_v from_o the_o visual_a point_n n._n example_n of_o the_o whole_a in_o the_o first_o place_n that_o the_o upper_a rail_n appear_v great_a than_o the_o under_o be_v as_o be_v say_v because_o it_o lie_v near_o the_o ey_fw-ge for_o if_o the_o platform_n be_v elevate_v above_o the_o pilaster_n the_o square_n thereon_o will_v appear_v as_o large_a as_o the_o square_n o_o p_o q_o and_o if_o the_o platform_n be_v elevate_v above_o the_o column_n the_o square_n will_v appear_v yet_o great_a by_o so_o much_o as_o the_o diametral_n be_v wide_a asunder_o and_o by_o consequence_n if_o the_o platform_n be_v elevate_v to_o the_o upper_a rail_n which_o be_v near_o the_o ey_fw-mi the_o square_n will_v appear_v yet_o great_a but_o the_o platform_n be_v so_o much_o far_o off_o the_o ey_fw-mi than_o the_o upper_a rail_n the_o square_n thereon_o draw_v near_o to_o the_o visual_a point_n whence_o it_o also_o follow_v that_o the_o range_v of_o bannester_n in_o e_o f_o g_o h_o appear_v less_o than_o the_o range_v of_o bannester_n in_o a_o b_o c_o d_o but_o the_o pilaster_n column_n bannester_n etc._n etc._n be_v all_o erect_v upon_o visual_a ray_n as_o you_o may_v see_v in_o the_o figure_n operation_n xxxvii_o of_o design_v the_o geometric_a ichnographie_n of_o a_o garden-plot_n into_o a_o scenographick_a ichnographie_n in_o order_n to_o erect_v thereon_o the_o appearance_n of_o arbour_n tree_n hedges_n fountain_n etc._n etc._n the_o ichnographie_n here_o propose_v be_v that_o of_o the_o garden_n of_o the_o most_o illustrious_a prince_n of_o orange_n situate_a in_o the_o hague_n it_o contain_v in_o length_n 172_o geometric_a foot_n and_o in_o breadth_n 91_o foot_n mark_v a_o b_o c_o d_o have_v on_o the_o four_o angle_n four_o square_a arbour_n mark_v e_z f_o g_o h_o as_o also_o four_o round_a arbour_n mark_v i_o k_o l_o m_o with_o a_o pavilion_n in_o the_o middle_n mark_v n_o which_o pavilion_n have_v its_o entrance_n on_o four_o side_n viz._n out_o of_o the_o two_o arch_a gallery_n mark_v of_o p_o and_o the_o two_o long_a walk_n mark_v q_o r._n within_o this_o ground-plot_n be_v contain_v two_o garden_n plot_n with_o four_o walk_n in_o each_o garden_n which_o divide_v they_o into_o four_o equal_a part_n apiece_o lead_v to_o the_o middle_n thereof_o where_o stand_v two_o fountain_n as_o at_o s_o t_o encompass_v with_o flower-pot_n as_o also_o be_v the_o whole_a garden_n between_o the_o outmost_a walk_n and_o the_o gallery_n as_o you_o may_v see_v by_o the_o small_a round_a mark_n whereon_o they_o be_v to_o stand_v how_o to_o reduce_v this_o geometric_a ichnographie_n into_o 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