Update app.py

app.py

@@ -104,8 +104,10 @@ def plot_triangle(x1, y1, x2, y2, x3, y3, I_x, I_y, U_x, U_y, G_x, G_y, midpoint
     # Plot the triangle vertices
     vertices = [(x1, y1), (x2, y2), (x3, y3)]
     vertex_labels = [f"Vertex A ({x1:.3f}, {y1:.3f})", f"Vertex B ({x2:.3f}, {y2:.3f})", f"Vertex C ({x3:.3f}, {y3:.3f})"]
+    vertex_name = ["A", "B", "C"]
     for i, (vx, vy) in enumerate(vertices):
         ax.scatter(vx, vy, color=vertex_color, zorder=3)
+        ax.text(vx, vy, vertex_name[i], fontsize=10, ha="left", va="bottom", color=vertex_color)
         
     # Plot key points with their corresponding colors
     key_points = [
@@ -119,11 +121,14 @@ def plot_triangle(x1, y1, x2, y2, x3, y3, I_x, I_y, U_x, U_y, G_x, G_y, midpoint
         ax.scatter(x, y, color=color, zorder=4)
 
     # Plot midpoints of sides
-    for i, (mx, my) in enumerate(midpoints):
-        ax.scatter(mx, my, color=midpoint_color, zorder=5)
     midpoints_labels = [f"Mid-Point M1 ({(x1 + x2) / 2:.3f}, {(y1 + y2) / 2:.3f})", 
                         f"Mid-Point M2 ({(x2 + x3) / 2:.3f}, {(y2 + y3) / 2:.3f})", 
                         f"Mid-Point M3 ({(x1 + x3) / 2:.3f}, {(y1 + y3) / 2:.3f})"]
+    midpoint_name = ["M1", "M2", "M3"]
+    for i, (mx, my) in enumerate(midpoints):
+        ax.scatter(mx, my, color=midpoint_color, zorder=5)
+        ax.text(mx, my, midpoint_name[i], fontsize=10, ha="left", va="bottom", color=midpoint_color)
+
 
     # Draw the inscribed circle (incircle)
     radius_in = calculate_radius_inscribed_circle(a, b, c)
@@ -137,15 +142,15 @@ def plot_triangle(x1, y1, x2, y2, x3, y3, I_x, I_y, U_x, U_y, G_x, G_y, midpoint
     
     # Add legend
     handles = [
-        plt.Line2D([0], [0], marker='o', color='w', markerfacecolor=vertex_color, markersize=8, label=vertex_labels[0]),
-        plt.Line2D([0], [0], marker='o', color='w', markerfacecolor=vertex_color, markersize=8, label=vertex_labels[1]),
-        plt.Line2D([0], [0], marker='o', color='w', markerfacecolor=vertex_color, markersize=8, label=vertex_labels[2]),
-        plt.Line2D([0], [0], marker='o', color='w', markerfacecolor=midpoint_color, markersize=8, label=midpoints_labels[0]),
-        plt.Line2D([0], [0], marker='o', color='w', markerfacecolor=midpoint_color, markersize=8, label=midpoints_labels[1]),
-        plt.Line2D([0], [0], marker='o', color='w', markerfacecolor=midpoint_color, markersize=8, label=midpoints_labels[2]),
-        plt.Line2D([0], [0], marker='o', color='w', markerfacecolor=incenter_color, markersize=8, label=key_points_labels[0]),
-        plt.Line2D([0], [0], marker='o', color='w', markerfacecolor=circumcenter_color, markersize=8, label=key_points_labels[1]),
-        plt.Line2D([0], [0], marker='o', color='w', markerfacecolor=centroid_color, markersize=8, label=key_points_labels[2])
+        plt.Line2D([0], [0], marker='o', color='w', markerfacecolor=vertex_color, markersize=6, label=vertex_labels[0]),
+        plt.Line2D([0], [0], marker='o', color='w', markerfacecolor=vertex_color, markersize=6, label=vertex_labels[1]),
+        plt.Line2D([0], [0], marker='o', color='w', markerfacecolor=vertex_color, markersize=6, label=vertex_labels[2]),
+        plt.Line2D([0], [0], marker='o', color='w', markerfacecolor=midpoint_color, markersize=6, label=midpoints_labels[0]),
+        plt.Line2D([0], [0], marker='o', color='w', markerfacecolor=midpoint_color, markersize=6, label=midpoints_labels[1]),
+        plt.Line2D([0], [0], marker='o', color='w', markerfacecolor=midpoint_color, markersize=6, label=midpoints_labels[2]),
+        plt.Line2D([0], [0], marker='o', color='w', markerfacecolor=incenter_color, markersize=6, label=key_points_labels[0]),
+        plt.Line2D([0], [0], marker='o', color='w', markerfacecolor=circumcenter_color, markersize=6, label=key_points_labels[1]),
+        plt.Line2D([0], [0], marker='o', color='w', markerfacecolor=centroid_color, markersize=6, label=key_points_labels[2])
     ]
     ax.legend(handles=handles, loc='upper left', fontsize=12)