Formulix 1.0

A toolkit of geometry and physics formulas

📦 Formulix

Formulix is a powerful and easy-to-use Python package that provides a collection of tools and utilities for solving problems in Geometry, Physics, Chemistry, Mathematics, Plotting, and Unit Conversions.

It's perfect for students, educators, and developers building science-related applications.

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🚀 Features

📐 Geometry (shapes.py)

• Area Calculations:

  • rectangle_area(length, breadth)
  • square_area(side)
  • circle_area(radius)
  • rhombus_area(diagonal1, diagonal2)
  • triangle_area(base, height)
  • eq_triangle_area(side) (Equilateral triangle)
  • parallelogram_area(base, height)
  • trapezium_area(base1, base2, height)
  • heron_area(a, b, c) (Heron's formula for triangles)

• Perimeter/Circumference Calculations:

  • rectangle_perimeter(length, breadth)
  • square_perimeter(side)
  • triangle_perimeter(a, b, c)
  • circle_circumference(radius)
  • rhombus_perimeter(side)
  • parallelogram_perimeter(base, side)
  • trapezium_perimeter(a, b, c, d)

• Volume Calculations:

  • cube_volume(side)
  • cuboid_volume(length, breadth, height)
  • cylinder_volume(radius, height)
  • cone_volume(radius, height)
  • sphere_volume(radius)

• Other Geometric Functions:

  • pythagoras_hypotenuse(a, b)
  • pythagoras_missing_side(hypotenuse, side)
  • triangle_median(a, b, c)

🧲 Physics (physics.py)

• speed(distance, time)
• distance(speed, time)
• time(distance, speed)
• acceleration(final_velocity, initial_velocity, time)
• force(mass, acceleration)
• weight(mass, gravity=9.8)

⚗️ Chemistry (chem.py)

• get_element(symbol) - Get element by symbol
• get_atomic_mass(symbol) - Get atomic mass
• get_atomic_number(symbol) - Get atomic number
• get_name(symbol) - Get element name
• get_density(symbol) - Get element density
• describe_element(symbol) - Returns dictionary with all element properties

📊 Plotting (plot.py)

• plot_equation(equation, x_range=(-10, 10), title="Equation Plot") - Plot a single equation
• plot_multiple(equations, x_range=(-10, 10), title="Multiple Equations Plot") - Plot multiple equations

🔢 Equation Solver (eq_solver.py)

• solve_equation(equation_str, var='x') - Solves single-variable equations
• simplify_expression(expr_str) - Simplifies mathematical expressions

🔁 Unit Conversions (conversions.py)

• convert_length(value, from_unit, to_unit)
• convert_mass(value, from_unit, to_unit)
• convert_time(value, from_unit, to_unit)
• convert_temperature(value, from_unit, to_unit)
• convert_volume(value, from_unit, to_unit)
• convert_speed(value, from_unit, to_unit)

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📦 Installation

pip install Formulix

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✅ Example Usage

from Formulix import (
    rectangle_area, force, get_element,
    solve_equation, plot_equation, convert_temperature
)

print(rectangle_area(10, 5))         # 50
print(force(10, 2))                  # 20
print(get_element("H").mass)         # 1.00794
print(solve_equation("x**2 - 4 = 0"))  # [2, -2]

plot_equation("x**2 + 2*x + 1")      # Shows a plot
print(convert_temperature(0, 'C', 'F')) # 32.0

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🧪 Requirements

• numpy
• matplotlib
• sympy
• periodictable

All are installed automatically with pip.

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📬 Author

Darsh Nayak Das

[e-mail]

9th Grade Student & Science Coder 💡

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📄 License

MIT License