Euclid's Muse

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NWMC 2013

Apps for presentation entitled "Creating electronic handouts and assessments as browser, tablet or smartphone apps"

Tags: talk, NWMC

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Cosine Rule
Cosine Rule
Set values for side lengths AB and BC and for angle ABC. Can you compute the length of side AC?

Tags: cosine-rule

Cosine Rule
Cosine Rule
AB, BC and angle ABC are assigned random values. You have the opportunity to calculate AC

Tags: cosine-rule, trigonometry

Function Composition
Function Composition
The purple function is f(x), the blue function is g(x) and the red function is f(g(x)). Can you define f(x) so that f(g(x)) = h(x), at least over a restricted domain?

Tags: function-composition

Pipeline Problem
Pipeline Problem
A famous problem:  given locations A and B and a line, to find the location C on the line which minimizes |AC|+|CB|.  (This can be phrased as locating a pumping station on an oil pipeline to service two cities.)

Tags: reflection

Ellipse Isotomic
Ellipse Isotomic
The ellipse isotomic generated by point D is teh locus of the reflection of D in the tangents to the ellipse. What shape is the isotomic when D lies on one of the foci of the ellipse? Why?

Tags: isotomic, ellipse

Incircle Radius
Incircle Radius
Can you relate the incircle radiusto the area and perimeter of a triangle?

Tags: incircle, NWMC


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