\( \DeclareMathOperator{\abs}{abs} \newcommand{\ensuremath}[1]{\mbox{$#1$}} \)

| (%i1) | kill(all); |
\[\]\[\tag{%o0} \ensuremath{\mathrm{done}}\]
| (%i1) | load("draw")$ |
| (%i2) | fileName:"jh_Job_ex08a_v7.wxmx"; |
\[\]\[\tag{%o2} "jh\_ Job\_ ex08a\_ v7.wxmx"\]
| (%i7) | x_right:9; label_left:3; label_vert:1.5; label_URL:0.2; delta_x:4; |
\[\]\[\tag{%o3} 9\]
\[\]\[\tag{%o4} 3\]
\[\]\[\tag{%o5} 1.5\]
\[\]\[\tag{%o6} 0.2\]
\[\]\[\tag{%o7} 4\]
| (%i17) | ro:1000;g:9.81;x0:1;y0:1;x1:x0+delta_x;y1:4;B:1;h1:0;y2:y1+h1;x2:x1; |
\[\]\[\tag{%o8} 1000\]
\[\]\[\tag{%o9} 9.81\]
\[\]\[\tag{%o10} 1\]
\[\]\[\tag{%o11} 1\]
\[\]\[\tag{%o12} 5\]
\[\]\[\tag{%o13} 4\]
\[\]\[\tag{%o14} 1\]
\[\]\[\tag{%o15} 0\]
\[\]\[\tag{%o16} 4\]
\[\]\[\tag{%o17} 5\]
| (%i20) | Hall:y1−y0+h1;H:y1−y0+h1;Hwater:y1+h1; |
\[\]\[\tag{%o18} 3\]
\[\]\[\tag{%o19} 3\]
\[\]\[\tag{%o20} 4\]
VARIANT # 1 (standart)
P_x
| (%i22) | alpha:atan((y1−y0)/(x1−x0)),numer;grad_alpha:(180/%pi)·alpha,numer; |
\[\]\[\tag{%o21} 0.6435011087932844\]
\[\]\[\tag{%o22} 36.86989764584402\]
| (%i25) | h_C_x:(Hall/2);w_x:Hall·B;I:(B·Hall··3)/12,numer; |
\[\]\[\tag{%o23} \frac{3}{2}\]
\[\]\[\tag{%o24} 3\]
\[\]\[\tag{%o25} 2.25\]
| (%i26) | p_c:ro·g·h_C_x; |
\[\]\[\tag{%o26} 14715.0\]
| (%i27) | P_x:p_c·w_x; |
\[\]\[\tag{%o27} 44145.0\]
| (%i29) | h_D:h_C_x+(I)/(h_C_x·w_x),numer;h_D_x:Hall−h_D+y0; |
\[\]\[\tag{%o28} 2.0\]
\[\]\[\tag{%o29} 2.0\]
P_z
| (%i30) | W1:(((x1−x0)·(y1−y0))/2)·B; |
\[\]\[\tag{%o30} 6\]
| (%i31) | W2:((x1−x0)·(h1))·B; |
\[\]\[\tag{%o31} 0\]
| (%i32) | W:W1+W2; |
\[\]\[\tag{%o32} 6\]
| (%i33) | P_z:(W)·ro·g; |
\[\]\[\tag{%o33} 58860.0\]
| (%i34) | P:sqrt(P_x··2+P_z··2); |
\[\]\[\tag{%o34} 73575.0\]
| (%i36) | phi:atan(P_z/P_x),numer;grad_phi:(180/%pi)·phi,numer; |
\[\]\[\tag{%o35} 0.9272952180016122\]
\[\]\[\tag{%o36} 53.13010235415598\]
| (%i37) | x1_:x1+x_right; |
\[\]\[\tag{%o37} 14\]
| (%i41) | scale_L:P_x;scale_P_x:P_x/scale_L;scale_P_z:P_z/scale_L,numer;scale_P:P/scale_L,numer; |
\[\]\[\tag{%o38} 44145.0\]
\[\]\[\tag{%o39} 1.0\]
\[\]\[\tag{%o40} 1.3333333333333333\]
\[\]\[\tag{%o41} 1.6666666666666667\]
| (%i54) | h1;Hall;Hwater;H;x1;h_D_x;h_D;scale_P_x;scale_P_z;scale_P_x;P;P_x;P_z; |
\[\]\[\tag{%o42} 0\]
\[\]\[\tag{%o43} 3\]
\[\]\[\tag{%o44} 4\]
\[\]\[\tag{%o45} 3\]
\[\]\[\tag{%o46} 5\]
\[\]\[\tag{%o47} 2.0\]
\[\]\[\tag{%o48} 2.0\]
\[\]\[\tag{%o49} 1.0\]
\[\]\[\tag{%o50} 1.3333333333333333\]
\[\]\[\tag{%o51} 1.0\]
\[\]\[\tag{%o52} 73575.0\]
\[\]\[\tag{%o53} 44145.0\]
\[\]\[\tag{%o54} 58860.0\]
| (%i56) | W1:(((x1−x0)·(y1−y0))/2)·B;mW1:W1·((1/3)·(x1−x0)+x0); |
\[\]\[\tag{%o55} 6\]
\[\]\[\tag{%o56} 14\]
| (%i58) | W2:(((x1−x0)·h1))·B;mW2:W2·(0.5·(x1−x0)+x0); |
\[\]\[\tag{%o57} 0\]
\[\]\[\tag{%o58} 0\]
| (%i59) | X:(mW1+mW2)/(W1+W2),numer; |
\[\]\[\tag{%o59} 2.3333333333333335\]
| (%i61) | P1:(((y1−y0+h1)/2)·ro·g)·((y1−y0+h1)·B);mP1:P1·(((y1−y0+h1)·(1/3))); |
\[\]\[\tag{%o60} 44145.0\]
\[\]\[\tag{%o61} 44145.0\]
| (%i63) | P2:(((h1)/2)·ro·g)·((h1)·B);mP2:P2·(Hall−(2/3·h1)); |
\[\]\[\tag{%o62} 0\]
\[\]\[\tag{%o63} 0\]
| (%i65) | Y:(mP1−mP2)/(P1−P2);Y:h_D_x; |
\[\]\[\tag{%o64} 1.0\]
\[\]\[\tag{%o65} 2.0\]
| --> | /* X:x0+(x1-x0)/3; Y:h_D_x; h1:0 */; |
| --> | /* Definition of a block with local variables */; |
| (%i66) |
ds(r) := block([x, n], n:100, x:r·n, x:floor(x), x:x/100, return(x) )$ |
| (%i71) | h_C_x:ds(h_C_x),numer; w_x:ds(w_x),numer; I:ds(I),numer; hi_D:ds(h_D),numer; p_c:ds(p_c),numer; |
\[\]\[\tag{%o67} 1.5\]
\[\]\[\tag{%o68} 3\]
\[\]\[\tag{%o69} 2.25\]
\[\]\[\tag{%o70} 2\]
\[\]\[\tag{%o71} 14715\]
| (%i75) | P_x:ds(P_x),numer; P_z:ds(P_z),numer; P:ds(P),numer; hi_D_x:ds(h_D_x),numer; |
\[\]\[\tag{%o72} 44145\]
\[\]\[\tag{%o73} 58860\]
\[\]\[\tag{%o74} 73575\]
\[\]\[\tag{%o75} 2\]
| (%i77) | alpha_:ds(grad_alpha),numer; phi_:ds(grad_phi),numer; |
\[\]\[\tag{%o76} 36.86\]
\[\]\[\tag{%o77} 53.13\]
| (%i79) | X:ds(X),numer; Y:ds(Y),numer; |
\[\]\[\tag{%o78} 2.33\]
\[\]\[\tag{%o79} 2\]
| (%i80) | H2:y1+h1+3; |
\[\]\[\tag{%o80} 7\]
| (%i81) | b:(2/Hall)·(Hall−0.1·y1); |
\[\]\[\tag{%o81} 1.7333333333333334\]
| (%i83) | −(2/Hall)·(Hall−1·y1);y1; |
\[\]\[\tag{%o82} \frac{2}{3}\]
\[\]\[\tag{%o83} 4\]
| (%i84) | if h1 < 7 then Hall_add:Hall+7 else Hall_add:Hall; |
\[\]\[\tag{%o84} 10\]
| (%i85) | if y0 > 1 then y_bottom:0 else y_bottom:−1; |
\[\]\[\tag{%o85} \mathop{-}1\]
| (%i89) | x1_;Hall;Hall_add;x_left:2; |
\[\]\[\tag{%o86} 14\]
\[\]\[\tag{%o87} 3\]
\[\]\[\tag{%o88} 10\]
\[\]\[\tag{%o89} 2\]
| (%i90) | x1_; |
\[\]\[\tag{%o90} 14\]
| (%i92) | Xi:X−scale_P_x; Yi:Y+scale_P_z; |
\[\]\[\tag{%o91} 1.33\]
\[\]\[\tag{%o92} 3.333333333333333\]
| (%i93) | (scale_P_z/scale_P_x)=(y−Y)/(X−x); |
\[\]\[\tag{%o93} 1.3333333333333333\mathop{=}\frac{y\mathop{-}2}{2.33\mathop{-}x}\]
| (%i94) | (X−x)·(scale_P_z/scale_P_x)+Y=y; |
\[\]\[\tag{%o94} 1.3333333333333333 \left( 2.33\mathop{-}x\right) \mathop{+}2\mathop{=}y\]
| (%i95) | fyP(scale_P_z,scale_P_x,X,Y,x):=(X−x)·(scale_P_z/scale_P_x)+Y; /* Vector */ |
\[\]\[\tag{%o95} \mathop{fyP}\left( {{\ensuremath{\mathrm{scale\_ P}}}_z}\mathop{,}{{\ensuremath{\mathrm{scale\_ P}}}_x}\mathop{,}X\mathop{,}Y\mathop{,}x\right) \mathop{:=}\left( X\mathop{-}x\right) \frac{{{\ensuremath{\mathrm{scale\_ P}}}_z}}{{{\ensuremath{\mathrm{scale\_ P}}}_x}}\mathop{+}Y\]
| (%i97) | X;Y; |
\[\]\[\tag{%o96} 2.33\]
\[\]\[\tag{%o97} 2\]
| (%i98) | fyP(scale_P_z,scale_P_x,X,Y,2.5); |
\[\]\[\tag{%o98} 1.7733333333333334\]
| (%i99) | (y1−y0)/(x1−x0)=(y1−y)/(x1−x); |
\[\]\[\tag{%o99} \frac{3}{4}\mathop{=}\frac{4\mathop{-}y}{5\mathop{-}x}\]
| (%i100) | (x1−x)·((y1−y0)/(x1−x0))=y1−y; |
\[\]\[\tag{%o100} \frac{3 \left( 5\mathop{-}x\right) }{4}\mathop{=}4\mathop{-}y\]
| (%i101) | y=y1−(x1−x)·((y1−y0)/(x1−x0)); |
\[\]\[\tag{%o101} y\mathop{=}4\mathop{-}\frac{3 \left( 5\mathop{-}x\right) }{4}\]
| (%i102) | fyL(x0,x1,y0,y1,x):=y1−(x1−x)·((y1−y0)/(x1−x0)); /* Flat line */ |
\[\]\[\tag{%o102} \mathop{fyL}\left( \ensuremath{\mathrm{x0}}\mathop{,}\ensuremath{\mathrm{x1}}\mathop{,}\ensuremath{\mathrm{y0}}\mathop{,}\ensuremath{\mathrm{y1}}\mathop{,}x\right) \mathop{:=}\ensuremath{\mathrm{y1}}\mathop{-}\left( \ensuremath{\mathrm{x1}}\mathop{-}x\right) \frac{\ensuremath{\mathrm{y1}}\mathop{-}\ensuremath{\mathrm{y0}}}{\ensuremath{\mathrm{x1}}\mathop{-}\ensuremath{\mathrm{x0}}}\]
| (%i103) | fyL(x0,x1,y0,y1,1.7),numer; |
\[\]\[\tag{%o103} 1.5250000000000004\]
| (%i104) |
coord_x(n,x0,x1,y0,y1,scale_P_z,scale_P_x,X,Y):=block ([dx,xi,yiC,yiL], dx:(x1−x0)/n, x_i:x0+dx, for i:1 step 1 thru n do (yiL:fyL(x0,x1,y0,y1,x_i),yiP:fyP(scale_P_z,scale_P_x,X,Y,x_i), if yiP>yiL then (x_i:x_i+dx) else (x_i:x_i)), return (x_i) ); |
\[\]\[\tag{%o104} {{\ensuremath{\mathrm{coord}}}_x}\left( n\mathop{,}\ensuremath{\mathrm{x0}}\mathop{,}\ensuremath{\mathrm{x1}}\mathop{,}\ensuremath{\mathrm{y0}}\mathop{,}\ensuremath{\mathrm{y1}}\mathop{,}{{\ensuremath{\mathrm{scale\_ P}}}_z}\mathop{,}{{\ensuremath{\mathrm{scale\_ P}}}_x}\mathop{,}X\mathop{,}Y\right) \mathop{:=}\]
| (%i105) | X_P:coord_x(100,x0,x1,y0,y1,scale_P_z,scale_P_x,X,Y),numer; |
\[\]\[\tag{%o105} 2.360000000000001\]
| (%i106) | Y_P:fyL(x0,x1,y0,y1,X_P); |
\[\]\[\tag{%o106} 2.020000000000001\]
| (%i108) | X_P:ds(X_P),numer; Y_P:ds(Y_P),numer; |
\[\]\[\tag{%o107} 2.36\]
\[\]\[\tag{%o108} 2.02\]
| (%i115) | y0;y1;y2;x0;x1;x2;H; |
\[\]\[\tag{%o109} 1\]
\[\]\[\tag{%o110} 4\]
\[\]\[\tag{%o111} 4\]
\[\]\[\tag{%o112} 1\]
\[\]\[\tag{%o113} 5\]
\[\]\[\tag{%o114} 5\]
\[\]\[\tag{%o115} 3\]
| (%i116) |
draw2d( xrange = [−x_left,x1_], /* size picture x - x1 & y - H1 */ yrange = [y_bottom,Hall_add], proportional_axes=xy, font = "Arial", font_size = 12, grid = true, line_width=1, color=black, title = "TEST OBJECT OF single operations of the K123", color=red, label_orientation = horizontal, label(["S",x0−0.4,y0−0.3]),/* point S */ label(["T",x1+0.4,y1−0.3]),/* point T */ label(["U",x2+0.4,y2+0.3]),/* point U */ label(["U_x",x0+0.4,y2+0.4]),/* point U1 */ line_width=1, color=black, line_type = dashes, points_joined = true, fill_color = "#ddddee", polygon([[x0,y0],[x1,y1],[x1,Hwater],[x0,Hwater],[x0,y0]]), /* W body of presure P_z */ line_width=10, line_type = solid, points_joined = true, color=black, points([[x0,y0],[x0,y2]]), /* VERTICAL reflect of inclined flat surface for P_x */ color=red, line_width=10, line_type = solid, points_joined = true, points([[x0,y0],[x1,y1],[x1,y2]]), /* inclined flat surface */ line_width=1, color=green, point_type = filled_circle, point_size = 1.5, points_joined = false, points([[x0,y0],[x0,y2]]), /* Points of inclined flat surface for P_x */ color=green, points([[x0,y0],[x1,y1],[x2,y2]]), line_width=1, color=black, line_type = dashes, points_joined = true, fill_color = white, polygon([[−2,y0],[0,Hall],[0,y0],[−2,y0]]), /* Contour all Epura for P_x */ line_width=4, line_type = solid, points_joined = true, color=red, points([[x0,y0],[x1,y1],[x2,Hwater]]),/* inclined flat surface */ line_width=1, color=black, line_type = dashes, points_joined = true, fill_color = white, polygon([[−2,y0],[0,Hall+y0],[0,y0],[−2,y0]]), /* rectangle epura of presure P_x */ fill_color = "#ddddee", line_type = solid, polygon([[−2,y0],[0,y2],[0,y0],[−2,y0]]), /* rectangle epura of presure P_x */ /* Epura */ color = "blue", line_width=1, line_type = solid, head_angle = 10, head_length = 0.15, vector([−(2/Hall)·(Hall−0.1·H),0.1·H+y0],[(2/Hall)·(Hall−0.1·H),0]), /* horizontal presure vector p */ vector([−(2/Hall)·(Hall−0.2·H),0.2·H+y0],[(2/Hall)·(Hall−0.2·H),0]), /* horizontal presure vector p */ vector([−(2/Hall)·(Hall−0.3·H),0.3·H+y0],[(2/Hall)·(Hall−0.3·H),0]), /* horizontal presure vector p */ vector([−(2/Hall)·(Hall−0.4·H),0.4·H+y0],[(2/Hall)·(Hall−0.4·H),0]), /* horizontal presure vector p */ vector([−(2/Hall)·(Hall−0.5·H),0.5·H+y0],[(2/Hall)·(Hall−0.5·H),0]), /* horizontal presure vector p */ vector([−(2/Hall)·(Hall−0.6·H),0.6·H+y0],[(2/Hall)·(Hall−0.6·H),0]), /* horizontal presure vector p */ vector([−(2/Hall)·(Hall−0.7·H),0.7·H+y0],[(2/Hall)·(Hall−0.7·H),0]), /* horizontal presure vector p */ vector([−(2/Hall)·(Hall−0.8·H),0.8·H+y0],[(2/Hall)·(Hall−0.8·H),0]), /* horizontal presure vector p */ vector([−(2/Hall)·(Hall−0.9·H),0.9·H+y0],[(2/Hall)·(Hall−0.9·H),0]),/* horizontal presure vector p */ color = "black", fill_color = light_blue, line_width=2, head_angle = 15, head_length = 0.25, color=red, point_type = filled_circle, point_size = 1.5, points_joined = false, points([[x0,h_D_x]]), /* point D_{x} on vertical reflect */ color=blue, label_orientation = horizontal, label(["P_x",X−0.8,Y+0.4]),/* point P_x */ line_width=1, line_type = dashes, head_angle = 180, vector([−2,Y],[3·y1,0]), /* horizontal line dot to vector P */ color = "blue", line_width=3, line_type = solid, head_angle = 15, head_length = 0.25, vector([X−scale_P_x,Y],[+scale_P_x,0]), /* horizontal vector P_x */ label_orientation = horizontal, label_alignment = left, /* Input data */ color = "#0e406e", label([concat("file:", string(fileName)), x0, Hall_add−1.5]), label([concat("x0=", string(x0)), x0, Hall_add−2]), label([concat("y0=", string(y0)), x0, Hall_add−2.5]), label([concat("x1=", string(x1)), x0, Hall_add−3.0]), label([concat("y1=", string(y1)), x0, Hall_add−3.5]), label([concat("alpfa=", string(alpha_)), x0, Hall_add−4.0]), label([concat("phi=", string(phi_)), x0, Hall_add−4.5]), label([concat("h_{1}=: ", string(h1)," m"), x0, Hall_add−5]), color = black, label([concat("h_{C_{x}}=: ", string(h_C_x)," m"), x1_−label_left, y1·2.2]), label([concat("w_{x}=: ", string(w_x)," m"), x1_−label_left, y1·2]), label([concat("p_{c}=: ", string(p_c)," Pa"), x1_−label_left, y1·1.8]), label([concat("I=: ", string(I)," m"), x1_−label_left, y1·1.6]), label([concat("h_D=: ", string(hi_D)," m"), x1_−label_left, y1·1.4]), label([concat("h_D_{coord}=: ", string(hi_D_x)," m"), x1_−label_left, y1·1.2]), label([concat("P_{x}=: ", string(P_x)," N"), x1_−label_left, y1·1]), label([concat("P_{z}=: ", string(P_z)," N"), x1_−label_left, y1·0.8]), color=red, label([concat("P=: ", string(P)," N"), x1_−label_left, y1·0.6]), label([concat("X_{P}=: ", string(X_P)," m"), x1_−label_left, y1·0.4]), label([concat("Y_{P}=: ", string(Y_P)," m"), x1_−label_left, y1·0.2]), line_type = solid, color=black, line_width=1, head_both = true, head_length = 0.2, head_angle = 10, vector([x1+scale_P_x+0.1,0],[0,h_D_x]),/* h_D_x */ label_alignment = center, label_orientation = vertical, font_size = 8, label([concat("h_{D_{crd}}=: ", string(hi_D_x)," m"), x1+0.7, h_D_x·0.6]), /* Input data */ vector([x1+scale_P_x+0.1,Y],[0,Hwater−Y]),/* h_D */ label_alignment = center, label_orientation = vertical, font_size = 8, label([concat("h_{D}=: ", string(hi_D)," m"), x1+0.7, Y+(Hwater−Y)/2]), /* Input data */ line_type = solid, color=blue, line_width=4, head_angle = 180, vector([−x_left,Hwater],[x1+x_left,0]), /* horizontal line dot to vector P_x */ line_width=1, line_type = dashes, head_angle = 180, vector([x0,y1],[x1+x_left,0]), /* horizontal line dot size H */ line_type = solid, color=black, line_width=1, line_type = solid, head_both = true, head_length = 0.2, head_angle = 10, vector([x1+1.5·x_left−0.2,y0],[0,y1−y0]), /* vertical line size H */ vector([x1+1.5·x_left−0.2,y1],[0,h1]), /* vertical line size h1 */ vector([x1+2·x_left−0.2,y0],[0,Hall]), /* vertical line size Hall */ label_alignment = center, label_orientation = vertical, font_size = 10, label([concat("H=: ", string((y1−y0))," m"), x1+1.5·x_left−0.5, (y0+(y1−y0)/2)]), /* vertical size H */ label([concat("h_{1}=: ", string((h1))," m"), x1+1.5·x_left−0.5, (y1+(h1)/2)]), /* vertical size H */ label([concat("Hall=: ", string(Hall)," m"), x1+2·x_left−0.5, Hall·0.6]), /* vertical size Hall */ line_type = solid, color=blue, line_width=1, line_type = solid, head_both = false, head_length = 0.2, head_angle = 10, vector([x0−x_left/2,Hwater+0.5],[0,−0.4]), /* vector p_a */ font_size = 12, color = "#0e406e", label_orientation = horizontal, label(["p_{a} ", x0−x_left/2−0.4,Hwater+0.5]), label(["D_{x} ", x0+0.5,hi_D_x−0.2]), /* Vector P */ font_size = 12, label_alignment = 'left, color = red, label([concat("D ( ", string(X_P),", ",string(Y_P),") "), X_P+0.3,Y_P−0.2]), font_size = 8, color=black, label([concat(" ( ", string(X),", ",string(Y),") "), X+0.1,Y+0.1]), color=black, point_type = filled_circle, point_size = 1.5, points_joined = false, points([[X,Y],[x0,y0],[x1,y1],[x2,y2]]), /*dot direct line of VECTOR P */ line_type = solid, color=black, line_width=1, line_type = short_long_dashes, vector([X−2·scale_P_x,Y+2·scale_P_z],[3·scale_P_x,−3·scale_P_z]), /* vectorP */ line_width=2, line_type = solid, vector([−2,0],[x1_−2,0]), /* Axis 0X */ /* VECTOR P */ line_type = solid, color=red, line_width=3, line_type = solid, head_both = false, head_length = 0.3, head_angle = 10, vector([X−scale_P_x,Y+scale_P_z],[scale_P_x,−scale_P_z]), /* vectorP */ color = red, label_orientation = horizontal, label(["P ", X−scale_P_x−0.5,Y+0.9]), /* Vector P_z */ color = blue, label_orientation = vertical, label(["P_{z} ", X−0.3,Y+0.8]), vector([X,Y+scale_P_z],[0,−scale_P_z]), /* vector P_z */ line_width=1, color=black, line_type = short_long_dashes, points_joined = true, polygon([[X,0],[X,Hwater+0.3]]), line_type = dots, polygon([[x1,0],[x1,y1]]), polygon([[X−scale_P_x,y0],[X−scale_P_x,Hall]]), polygon([[x0,Y+scale_P_z],[X+0.3,Y+scale_P_z]]), polygon([[x1,Hwater],[x1+4,Hwater]]), polygon([[−x_left,y0],[x1_,y0]]), line_type = solid, color = black, line_width=2, ellipse(x0, y0, 0.75, 0.75, 0, alpha_), ellipse(Xi, Yi, 0.4, 0.4, −2, −phi_+2), label_orientation = horizontal, label([concat("alpfa= ", string(alpha_)), x0+1.1,y0+0.3]), label([concat("phi= ", string(phi_)), Xi+0.1,Yi+0.4]), /* Малюємо прямокутник під текст */ fill_color = "#F6F7EC", color = "#819896", rectangle([x1_−x_right/2,Hall_add], [x1_,Hall_add−4·label_URL]), font = "Arial", font_size = 18, color = "#0e406e", label_orientation = horizontal, label(["www.k123.org.ua ", x1_−x_right/2,Hall_add−label_URL]), label(["Kopanytsia Y (c) 2026", x1_−x_right/2,Hall_add−3·label_URL]), line_width=1, point_type = filled_circle, point_size = 1.5, points_joined = false, color=black, points([[X_P,Y_P]]), color = red, label_orientation = horizontal, label([string(X),−2,Y+0.1]), label([string(Y),X,0+0.2]) )$ |


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