Search Results for “fermat-point”
Euclids Elements - Book 3 - Proposition 14
Creating a tangent on a circle given point A that is outside the circle.
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.
Inverted Trammel
Archimedes trammel draws an ellipse if you fix the base and move the handle. What happens if you fix the handle and move the base? Drag point D to find out. See the 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.
Parabola Property
The triangle containing the normal and tangent at a point on a parabola sits inside a semicircle centered at the parabola's focus.
Polar Line
The locus of the intersections of the tangents at the end of chords of an ellipse which pass through a common point is a straight line. A bit of a mouthful, but play with the diagram and it will become clear.
Hyperbola Polar Line
The polar line is the locus of the intersections of tangent lines at the ends of chords of teh parabola through a fixed point. Turns out to be conceptually important - not just a curiosity.
Cycloid
If we look beyond the circumference, what path does a point attached to a rolling wheel take?
