Euclid's Muse

your source for INTERACTIVE math apps


Create an Account


Parabola Generalization

Profile picture of Phil Todd

Phil Todd

@polymnia

Uploaded

theorem of Archimedes on a circle can be generalized to parabolas as shown here.

Vertical lines correspond to diameters of the parabola. FG is parallel to the tangent at C.  E is the intersection of the tangents at F and C.

Observe that teh vertical line through E bisects FG.

Tags: parabola, Archimedes
thumb Open Fullscreen
Download App Link Embed
px
Paste this code into your webpage as html:

« Hyperbola Generalization Archimedes Angle Theorem »

© Saltire Software Terms and Conditions