ELLIPSES
Drag to draw
An ellipse is formed by points where the sum of distances to two foci is constant.
Grab the pink point and trace the shape entirely!
d₁ + d₂ = {{ s1_sum.toFixed(1) }}
Slide to match
Match the target ellipse by changing the denominators.
x²:
{{ s2_a * s2_a }}
y²:
{{ s2_b * s2_b }}
Drag to place
Place the two foci () in their correct locations.
Correct! The distance c to the focus satisfies c² = |a² - b²|.
Hint: The distance from the center to a focus is c. Check the major axis!
Tap to build
Construct the equation for this ellipse.
x²
+
{{ s4_slots[0] || '?' }}
y²
= 1
{{ s4_slots[1] || '?' }}
🎉
Masterful!
You've unlocked the secrets of the ellipse, from foci to equations!