# Euclid's Muse

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# Search Results for “reflection”

By Duncan
##### Reflection Composition
Composition of reflection in two parallel lines. Can you match the combined reflections with a translation?

Tags: transformation, reflection, translation, common-core

##### Ellipse Reflection
A visual proof of the reflection property of an ellipse

Tags: ellipse, reflection

##### Reflection in a circle
Point A is midway between the center and the circumference of a circle.  BC is the reflection of AB in the circle.  What is the maximum angle of ABC?

Tags: circle, reflection

##### Maximum Angle of Reflection
Drag B to find the maximum angle of reflection. The circumcircle of ABC is the locus of all points which subtend the same angle on chord AC. In general G is inside the circumcircle and so angle AGC < angle ABC. The exception is when B=G.

Tags: caustic, reflection

##### Ellipse Reflection Property
One definition of an ellipse is as the locus of points the sum of whose distance from two fixed points (the foci) is constant. This gives you a way to draw the ellipse with two pins and a piece of string. Here we relate that definition to the focal property: that light emanating from one focus reflects to the other focus.

Tags: ellipse, reflection

##### Reflection Clock
Press the Reflect button to reflect the triangle in the minute hand. Press again to reflect the result in the second hand. Can you describe the motion of the second reflected image?

Tags: Clock, transformation, reflection, composition

##### Reflection Clock
Press the button to reflect the triangle in the minute hand.  Press the button again to reflect this new triangle in the second hand.  Notice that the second reflection rotates as the second hand moves.  How long does it take to do a complete rotation? You can change the triangle by dragging the red points.

Tags: clock

##### Ellipse Reflection Property
The reflection of a  ray of light emanating from one focus of an ellipse passes through the other focus. This app uses a zip line to show why.

Tags: mechanics

##### Caustic Cusps
Find the direction of the rays which cause the cusps. What do you notice about the reflection angle here?

Tags: caustic, reflection

##### reflected clocks
A reflection for Hogmanay- a look at time forwards, backwards and upside down.

Tags: clock, reflection, transformation