Update app.py
Browse files
app.py
CHANGED
@@ -1,202 +1,53 @@
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import streamlit as st
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import base64
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def
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with open(video_path,
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video_bytes = video_file.read()
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# Encode the video to base64
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video_base64 = base64.b64encode(video_bytes).decode('utf-8')
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# HTML to embed the video as background
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video_html = f"""
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st.markdown(video_html, unsafe_allow_html=True)
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#
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import numpy as np
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import matplotlib.pyplot as plt
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from matplotlib.patches import Polygon, Circle
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# Function to calculate the distance between two points
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def calculate_distance(x1, y1, x2, y2):
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return np.sqrt((x2 - x1) ** 2 + (y2 - y1) ** 2)
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# Function to calculate angles using the Law of Cosines
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def calculate_angle(a, b, c):
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try:
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angle = np.degrees(np.
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except ValueError:
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angle = 0
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return angle
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#
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area = np.sqrt(s * (s - a) * (s - b) * (s - c))
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return area
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# Function to calculate the perimeter
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def calculate_perimeter(a, b, c):
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return a + b + c
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# Function to calculate the radius of the inscribed circle
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def calculate_radius_inscribed_circle(a, b, c):
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try:
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s = (a + b + c) / 2
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area = calculate_area(a, b, c)
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radius = area / s
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except ZeroDivisionError:
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radius = 0 # Handle case where area or perimeter is zero
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return radius
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# Function to calculate the radius of the circumscribed circle
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def calculate_radius_circumscribed_circle(a, b, c):
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try:
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area = calculate_area(a, b, c)
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radius = (a * b * c) / (4 * area)
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except ZeroDivisionError:
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radius = 0 # Handle case where area is zero
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return radius
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# Function to calculate the centroid coordinates
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def calculate_centroid(x1, y1, x2, y2, x3, y3):
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G_x = (x1 + x2 + x3) / 3
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G_y = (y1 + y2 + y3) / 3
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return G_x, G_y
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# Function to calculate the incenter coordinates
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def calculate_incenter(x1, y1, x2, y2, x3, y3, a, b, c):
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try:
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I_x = (a * x1 + b * x2 + c * x3) / (a + b + c)
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I_y = (a * y1 + b * y2 + c * y3) / (a + b + c)
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except ZeroDivisionError:
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I_x, I_y = 0, 0 # Handle division by zero if sides sum to zero
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return I_x, I_y
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# Function to calculate the circumcenter coordinates
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def calculate_circumcenter(x1, y1, x2, y2, x3, y3, a, b, c):
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try:
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D = 2 * (x1 * (y2 - y3) + x2 * (y3 - y1) + x3 * (y1 - y2))
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U_x = ((x1**2 + y1**2) * (y2 - y3) + (x2**2 + y2**2) * (y3 - y1) + (x3**2 + y3**2) * (y1 - y2)) / D
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U_y = ((x1**2 + y1**2) * (x3 - x2) + (x2**2 + y2**2) * (x1 - x3) + (x3**2 + y3**2) * (x2 - x1)) / D
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except ZeroDivisionError:
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U_x, U_y = 0, 0 # Handle division by zero in circumcenter calculation
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return U_x, U_y
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# Function to calculate midpoints of sides
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def calculate_midpoints(x1, y1, x2, y2, x3, y3):
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# Midpoint of AB
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M1_x = (x1 + x2) / 2
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M1_y = (y1 + y2) / 2
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# Midpoint of BC
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M2_x = (x2 + x3) / 2
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M2_y = (y2 + y3) / 2
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# Midpoint of CA
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M3_x = (x3 + x1) / 2
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M3_y = (y3 + y1) / 2
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return (M1_x, M1_y), (M2_x, M2_y), (M3_x, M3_y)
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# Function to format values close to zero as 0
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def format_zero(val):
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if abs(val) < 1e-6:
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return 0.0
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return val
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# Function to plot the triangle with all points in different colors and a legend
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def plot_triangle(x1, y1, x2, y2, x3, y3, I_x, I_y, U_x, U_y, G_x, G_y, midpoints, a, b, c):
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triangle = Polygon([(x1, y1), (x2, y2), (x3, y3)], closed=True, edgecolor='b', facecolor='lightblue')
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ax.add_patch(triangle)
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# Define colors for different points
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vertex_color = 'blue'
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midpoint_color = 'green'
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centroid_color = 'orange'
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incenter_color = 'red'
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circumcenter_color = 'purple'
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# Plot the triangle vertices
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vertices = [(x1, y1), (x2, y2), (x3, y3)]
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vertex_labels = [f"Vertex A ({x1:.3f}, {y1:.3f})", f"Vertex B ({x2:.3f}, {y2:.3f})", f"Vertex C ({x3:.3f}, {y3:.3f})"]
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for i, (vx, vy) in enumerate(vertices):
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ax.scatter(vx, vy, color=vertex_color, zorder=3)
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# Plot key points with their corresponding colors
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key_points = [
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(I_x, I_y, incenter_color),
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(U_x, U_y, circumcenter_color),
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(G_x, G_y, centroid_color)
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]
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key_points_labels = [f"Incenter ({I_x:.3f}, {I_y:.3f})", f"Circumcenter ({U_x:.3f}, {U_y:.3f})", f"Centroid ({G_x:.3f}, {G_y:.3f})"]
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for x, y, color in key_points:
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ax.scatter(x, y, color=color, zorder=4)
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# Plot midpoints of sides
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for i, (mx, my) in enumerate(midpoints):
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ax.scatter(mx, my, color=midpoint_color, zorder=5)
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midpoints_labels = [f"Mid-Point M1 ({(x1 + x2) / 2:.3f}, {(y1 + y2) / 2:.3f})",
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f"Mid-Point M2 ({(x2 + x3) / 2:.3f}, {(y2 + y3) / 2:.3f})",
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f"Mid-Point M3 ({(x1 + x3) / 2:.3f}, {(y1 + y3) / 2:.3f})"]
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# Draw the inscribed circle (incircle)
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radius_in = calculate_radius_inscribed_circle(a, b, c)
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incircle = Circle((I_x, I_y), radius_in, color=incenter_color, fill=False, linestyle='--', linewidth=2, label="Inscribed Circle")
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ax.add_patch(incircle)
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# Draw the circumscribed circle (circumcircle)
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radius_circum = calculate_radius_circumscribed_circle(a, b, c)
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circumcircle = Circle((U_x, U_y), radius_circum, color=circumcenter_color, fill=False, linestyle='--', linewidth=2, label="Circumscribed Circle")
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ax.add_patch(circumcircle)
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# Add legend
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handles = [
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plt.Line2D([0], [0], marker='o', color='w', markerfacecolor=vertex_color, markersize=8, label=vertex_labels[0]),
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plt.Line2D([0], [0], marker='o', color='w', markerfacecolor=vertex_color, markersize=8, label=vertex_labels[1]),
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plt.Line2D([0], [0], marker='o', color='w', markerfacecolor=vertex_color, markersize=8, label=vertex_labels[2]),
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plt.Line2D([0], [0], marker='o', color='w', markerfacecolor=midpoint_color, markersize=8, label=midpoints_labels[0]),
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plt.Line2D([0], [0], marker='o', color='w', markerfacecolor=midpoint_color, markersize=8, label=midpoints_labels[1]),
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plt.Line2D([0], [0], marker='o', color='w', markerfacecolor=midpoint_color, markersize=8, label=midpoints_labels[2]),
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plt.Line2D([0], [0], marker='o', color='w', markerfacecolor=incenter_color, markersize=8, label=key_points_labels[0]),
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plt.Line2D([0], [0], marker='o', color='w', markerfacecolor=circumcenter_color, markersize=8, label=key_points_labels[1]),
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plt.Line2D([0], [0], marker='o', color='w', markerfacecolor=centroid_color, markersize=8, label=key_points_labels[2])
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]
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ax.legend(handles=handles, loc='upper left', fontsize=12)
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# Adjust the plot limits and aspect ratio
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padding = 3
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ax.set_xlim([min(x1, x2, x3) - padding, max(x1, x2, x3) + padding])
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ax.set_ylim([min(y1, y2, y3) - padding, max(y1, y2, y3) + padding])
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ax.set_aspect('equal', adjustable='datalim')
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ax.set_title('Solved Triangle', fontsize=18)
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ax.set_xlabel('X-axis', fontsize=12)
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ax.set_ylabel('Y-axis', fontsize=12)
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plt.grid(True)
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st.pyplot(fig)
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# Function to check if the sides form a valid triangle
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def is_valid_triangle(a, b, c):
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# Check if the sum of two sides is greater than the third side (Triangle Inequality Theorem)
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return a + b > c and b + c > a and c + a > b
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# Main
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def main():
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st.title("Advanced Triangle Solver")
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st.sidebar.header("Enter the coordinates of the three points:")
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# Coordinates input (X1, Y1), (X2, Y2), (X3, Y3)
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x1 = st.sidebar.number_input("X1", min_value=-100.0, max_value=100.0, step=0.1, format="%.3f")
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y1 = st.sidebar.number_input("Y1", min_value=-100.0, max_value=100.0, step=0.1, format="%.3f")
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x2 = st.sidebar.number_input("X2", min_value=-100.0, max_value=100.0, step=0.1, format="%.3f")
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y3 = st.sidebar.number_input("Y3", min_value=-100.0, max_value=100.0, step=0.1, format="%.3f")
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if st.sidebar.button("Calculate"):
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# Calculate the lengths of the sides of the triangle using Euclidean distance
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a = calculate_distance(x2, y2, x3, y3)
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b = calculate_distance(x1, y1, x3, y3)
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c = calculate_distance(x1, y1, x2, y2)
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# Validate if it's a valid triangle
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if not is_valid_triangle(a, b, c):
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st.error("The entered points do not form a valid triangle.")
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return
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# Calculate angles using the Law of Cosines
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A = calculate_angle(a, b, c)
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B = calculate_angle(b, a, c)
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C = calculate_angle(c, a, b)
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# Check if angles sum up to 180 degrees
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if abs(A + B + C - 180) > 1e-2:
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st.error("The sum of the angles is not 180 degrees.")
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return
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#
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area = calculate_area(a, b, c)
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perimeter = calculate_perimeter(a, b, c)
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radius_in = calculate_radius_inscribed_circle(a, b, c)
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radius_circum = calculate_radius_circumscribed_circle(a, b, c)
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# Calculate centroid, incenter, and circumcenter coordinates
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G_x, G_y = calculate_centroid(x1, y1, x2, y2, x3, y3)
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I_x, I_y = calculate_incenter(x1, y1, x2, y2, x3, y3, a, b, c)
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U_x, U_y = calculate_circumcenter(x1, y1, x2, y2, x3, y3, a, b, c)
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# Calculate midpoints of the sides
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midpoints = calculate_midpoints(x1, y1, x2, y2, x3, y3)
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# Display results
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with col1:
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st.subheader("Coordinates of Triangle:")
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st.markdown(f"Vertex A: **({x1:.3f}, {y1:.3f})**")
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st.markdown(f"Vertex B: **({x2:.3f}, {y2:.3f})**")
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st.markdown(f"Vertex C: **({x3:.3f}, {y3:.3f})**")
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with col2:
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st.subheader("Mid-Points of Triangle:")
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st.markdown(f"Midpoint of AB: ({midpoints[0][0]:.3f}, {midpoints[0][1]:.3f})")
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st.markdown(f"Midpoint of BC: ({midpoints[1][0]:.3f}, {midpoints[1][1]:.3f})")
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st.markdown(f"Midpoint of CA: ({midpoints[2][0]:.3f}, {midpoints[2][1]:.3f})")
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col1, col2 = st.columns(2)
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with col1:
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st.subheader("Angles of Triangle:")
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st.markdown(f"Angle A: **{format_zero(A):.3f}°**")
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st.markdown(f"Angle B: **{format_zero(B):.3f}°**")
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st.markdown(f"Angle C: **{format_zero(C):.3f}°**")
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with col2:
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st.subheader("Sides of Triangle:")
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st.markdown(f"Side a: **{format_zero(a):.3f}** units")
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st.markdown(f"Side b: **{format_zero(b):.3f}** units")
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st.markdown(f"Side c: **{format_zero(c):.3f}** units")
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col1, col2, col3 = st.columns(3)
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with col1:
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st.subheader("Incenter of Triangle:")
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st.markdown(f"Coordinates: **({format_zero(I_x):.3f}, {format_zero(I_y):.3f})**")
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st.markdown(f"Radius: **{radius_in:.3f}** units")
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with col2:
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st.subheader("Circumcenter of Triangle:")
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st.markdown(f"Coordinates: **({format_zero(U_x):.3f}, {format_zero(U_y):.3f})**")
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st.markdown(f"Radius: **{radius_circum:.3f}** units")
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with col3:
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st.subheader("Other Properties:")
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st.markdown(f"Area: **{format_zero(area):.3f}** square units")
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st.markdown(f"Perimeter: **{format_zero(perimeter):.3f}** units")
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st.markdown(f"Centroid: **({format_zero(G_x):.3f}, {format_zero(G_y):.3f})**")
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#
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plot_triangle(x1, y1, x2, y2, x3, y3, I_x, I_y, U_x, U_y, G_x, G_y, midpoints, a, b, c)
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if __name__ == "__main__":
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import streamlit as st
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import base64
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import numpy as np
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import matplotlib.pyplot as plt
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from matplotlib.patches import Polygon, Circle
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def set_background(video_path):
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"""Sets the background of the Streamlit app to a video."""
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with open(video_path, "rb") as video_file:
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video_bytes = video_file.read()
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video_base64 = base64.b64encode(video_bytes).decode("utf-8")
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video_html = f"""
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<style>
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.main {{
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background-image: url("data:video/mp4;base64,{video_base64}");
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background-size: cover;
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}}
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</style>
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"""
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st.markdown(video_html, unsafe_allow_html=True)
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# Set the background *before* any other Streamlit elements
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set_background("numbers moving background.mp4") # Replace with your video path
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# --- Triangle Calculation and Plotting Functions ---
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def calculate_distance(x1, y1, x2, y2):
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return np.sqrt((x2 - x1) ** 2 + (y2 - y1) ** 2)
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def calculate_angle(a, b, c):
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try:
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angle = np.degrees(np.arccos((b ** 2 + c ** 2 - a ** 2) / (2 * b * c)))
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except ValueError:
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angle = 0
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return angle
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# ... (rest of your calculation functions: calculate_area, calculate_perimeter,
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# calculate_radius_inscribed_circle, calculate_radius_circumscribed_circle,
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# calculate_centroid, calculate_incenter, calculate_circumcenter, calculate_midpoints, format_zero)
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def plot_triangle(x1, y1, x2, y2, x3, y3, I_x, I_y, U_x, U_y, G_x, G_y, midpoints, a, b, c):
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+
# ... (your plot_triangle function - no changes needed here)
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def is_valid_triangle(a, b, c):
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return a + b > c and b + c > a and c + a > b
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+
# --- Main Streamlit App ---
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def main():
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st.title("Advanced Triangle Solver")
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st.sidebar.header("Enter the coordinates of the three points:")
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x1 = st.sidebar.number_input("X1", min_value=-100.0, max_value=100.0, step=0.1, format="%.3f")
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y1 = st.sidebar.number_input("Y1", min_value=-100.0, max_value=100.0, step=0.1, format="%.3f")
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x2 = st.sidebar.number_input("X2", min_value=-100.0, max_value=100.0, step=0.1, format="%.3f")
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y3 = st.sidebar.number_input("Y3", min_value=-100.0, max_value=100.0, step=0.1, format="%.3f")
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if st.sidebar.button("Calculate"):
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a = calculate_distance(x2, y2, x3, y3)
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b = calculate_distance(x1, y1, x3, y3)
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c = calculate_distance(x1, y1, x2, y2)
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if not is_valid_triangle(a, b, c):
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st.error("The entered points do not form a valid triangle.")
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return
|
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+
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A = calculate_angle(a, b, c)
|
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B = calculate_angle(b, a, c)
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C = calculate_angle(c, a, b)
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if abs(A + B + C - 180) > 1e-2:
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st.error("The sum of the angles is not 180 degrees.")
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return
|
74 |
|
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+
# ... (rest of your calculations for area, perimeter, radii, centroid, incenter, circumcenter)
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area = calculate_area(a, b, c)
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perimeter = calculate_perimeter(a, b, c)
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radius_in = calculate_radius_inscribed_circle(a, b, c)
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radius_circum = calculate_radius_circumscribed_circle(a, b, c)
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80 |
G_x, G_y = calculate_centroid(x1, y1, x2, y2, x3, y3)
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81 |
I_x, I_y = calculate_incenter(x1, y1, x2, y2, x3, y3, a, b, c)
|
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U_x, U_y = calculate_circumcenter(x1, y1, x2, y2, x3, y3, a, b, c)
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83 |
midpoints = calculate_midpoints(x1, y1, x2, y2, x3, y3)
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84 |
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+
# Display results (no changes needed here)
|
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# ... (your existing display code using st.columns, st.subheader, st.markdown)
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|
87 |
|
88 |
+
# Plot the triangle
|
89 |
plot_triangle(x1, y1, x2, y2, x3, y3, I_x, I_y, U_x, U_y, G_x, G_y, midpoints, a, b, c)
|
90 |
|
91 |
if __name__ == "__main__":
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