| import streamlit as st |
| def set_background_video(): |
| video_path = 'numbers moving background.mp4' |
| with open(video_path, 'rb') as video_file: |
| video_bytes = video_file.read() |
| video_base64 = base64.b64encode(video_bytes).decode('utf-8') |
|
|
| |
| video_html = f""" |
| <video |
| style="position: fixed; right: 0; bottom: 0; min-width: 100%; min-height: 100%; width: auto; height: auto; z-index: -1;" |
| preload="auto" |
| autoplay |
| loop |
| muted |
| > |
| <source src="data:video/mp4;base64,{video_base64}" type="video/mp4"> |
| Your browser does not support the video tag. |
| </video> |
| """ |
| st.markdown(video_html, unsafe_allow_html=True) |
|
|
| |
| def calculate_distance(x1, y1, x2, y2): |
| return np.sqrt((x2 - x1) ** 2 + (y2 - y1) ** 2) |
|
|
| def calculate_angle(a, b, c): |
| try: |
| angle = np.degrees(np.arccos((b ** 2 + c ** 2 - a ** 2) / (2 * b * c))) |
| except ValueError: |
| angle = 0 |
| return angle |
|
|
| |
| |
| |
|
|
| 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): |
| |
|
|
| def is_valid_triangle(a, b, c): |
| return a + b > c and b + c > a and c + a > b |
|
|
| |
| def main(): |
| st.title("Advanced Triangle Solver") |
|
|
| st.sidebar.header("Enter the coordinates of the three points:") |
| x1 = st.sidebar.number_input("X1", min_value=-100.0, max_value=100.0, step=0.1, format="%.3f") |
| y1 = st.sidebar.number_input("Y1", min_value=-100.0, max_value=100.0, step=0.1, format="%.3f") |
| x2 = st.sidebar.number_input("X2", min_value=-100.0, max_value=100.0, step=0.1, format="%.3f") |
| y2 = st.sidebar.number_input("Y2", min_value=-100.0, max_value=100.0, step=0.1, format="%.3f") |
| x3 = st.sidebar.number_input("X3", min_value=-100.0, max_value=100.0, step=0.1, format="%.3f") |
| y3 = st.sidebar.number_input("Y3", min_value=-100.0, max_value=100.0, step=0.1, format="%.3f") |
|
|
| if st.sidebar.button("Calculate"): |
| a = calculate_distance(x2, y2, x3, y3) |
| b = calculate_distance(x1, y1, x3, y3) |
| c = calculate_distance(x1, y1, x2, y2) |
|
|
| if not is_valid_triangle(a, b, c): |
| st.error("The entered points do not form a valid triangle.") |
| return |
|
|
| A = calculate_angle(a, b, c) |
| B = calculate_angle(b, a, c) |
| C = calculate_angle(c, a, b) |
|
|
| if abs(A + B + C - 180) > 1e-2: |
| st.error("The sum of the angles is not 180 degrees.") |
| return |
|
|
| |
| area = calculate_area(a, b, c) |
| perimeter = calculate_perimeter(a, b, c) |
| radius_in = calculate_radius_inscribed_circle(a, b, c) |
| radius_circum = calculate_radius_circumscribed_circle(a, b, c) |
| G_x, G_y = calculate_centroid(x1, y1, x2, y2, x3, y3) |
| I_x, I_y = calculate_incenter(x1, y1, x2, y2, x3, y3, a, b, c) |
| U_x, U_y = calculate_circumcenter(x1, y1, x2, y2, x3, y3, a, b, c) |
| midpoints = calculate_midpoints(x1, y1, x2, y2, x3, y3) |
|
|
| |
| |
|
|
| |
| plot_triangle(x1, y1, x2, y2, x3, y3, I_x, I_y, U_x, U_y, G_x, G_y, midpoints, a, b, c) |
|
|
| if __name__ == "__main__": |
| main() |