Search Results for “function-draggable-curve”
Simple Similar Triangles
Drag points A, B, and C to change the size and shape of the blue triangle, and its white counterpart that is similar (constrained by proportional SAS). Drag the Red point D to change the ratio in sizes. Observe the multitude of calculated output lengths and angles, and how they match the proportion value, proving similarity, regardless of the triangles' shapes/sizes.
Chord Angle Theorem
The chord angle theorem states that in an inscribed triangle (ABC) where A is the center of the circle and BC is a chord, and BDC is an inscribed triangle on the same chord, angle BDC must equal one half of angle BAC. Try changing the angle and moving point D and observe the theorem’s truth. Note: the measure of angle BDC is being constantly recalculated as point D is dragged, but it doesn't change because of this theorem.
Cyclic Quadrilateral Theorem
The Cyclic Quadrilateral Theorem states that for a quadrilateral inscribed in a circle, the measures of opposite angles must add to 180 degrees. Drag the points and observe the angle measures to see how this theorem holds true.
Vector Combinations and Span
AB and AC are vectors. Vector AF is defined by t(AB) + s(AC) where t and s are scalars. Drag E and D to change the scalars and see how using the scalars creates vectors in the plane defined by AB and AC.
Newton Raphson 3 iterations
Look at the first three iterations of the Newton Raphson method starting from a point you determine on a function you define. You'll see that when it's good it's very very good and when it's bad its awful.
function product challenge 2
Can you find f(x) such that f(x)*g(x) = h(x) (Yes, you could use f(x) = h(x)/g(x), but be more elegant!!)
