From ancient urban planning to the modern mapping of the stars. Discover the logic that structures our world.
The concept of using a grid to locate objects is thousands of years old. Modern archaeology shows that ancient civilizations used rigorous coordinate-like thinking to build their worlds.
Sindhu-Sarasvatī Grids: Cities were built on perfect North-South and East-West "Grid Lines".
Baudhāyana (800 BCE): Used precise grids to construct fire altars with perfect geometry.
Āryabhaṭa (499 CE): Applied coordinate logic to map the motion of celestial bodies.
Legend says René Descartes got the idea for modern coordinates while watching a fly crawl across his ceiling!
The coordinate plane is a 2-D space divided by two perpendicular lines called axes. Every point on this plane has a unique "address".
The horizontal line. Measures distance left or right from the center.
The vertical line. Measures distance up or down from the center.
The point where X and Y intersect
How do we find the shortest distance between two points \( A(x_1, y_1) \) and \( D(x_2, y_2) \)? We use the Baudhāyana–Pythagoras Formula.
Find distance from \( A(3, 4) \) to \( D(7, 1) \):
Horizontal Shift: \( 7 - 3 = 4 \)
Vertical Shift: \( 1 - 4 = -3 \)
Square & Add: \( 4^2 + (-3)^2 = 16 + 9 = 25 \)
Result: \( \sqrt{25} = 5 \) units