Euclid's Muse

your source for INTERACTIVE math apps

Collections

Browse collections in random order. Refresh the page to get a new order.

By Phil Todd
Fagnano's Problem
Given a triangle, to find the inscribed triangle with minimum perimeter

Tags: fagnano, reflection, altitude

By Phil Todd
Solve First
Apps to accompany my talk \"Solve First - ask questions later\"

Tags: solar cookers, parabolas, reflectors, caustics

By saltirenews
Whimsical Clocks Ch.1 Morphing Clock
We begin this collection of weird and wonderful mathematical clocks with the Morphing Clock that changes shape as time passes. The Geometry Expressions file is included so you can see how it was made and make new versions for yourself!

Tags: clocks, morphing curves

By Nick Halsey
Rotating Ellipses
Two apps exploring rotating, tangent ellipses.

Tags: Ellipses, tangents, rotating

By jonathanharrison
Theorem apps
Theorems involving circles

Tags: Circles

By Larry Ottman
Common Core Nuggets: Building Functions
This collection contains apps that will help teachers implement Common Core Functions Standard F-BF 3 for High School Mathematics.

Tags: Function, transformations, translations, dilations, Common Core, Algebra

By Irina Lyublinskaya
Common Core Nuggets: Area Formulas 6.G.1
This collection contains apps that will help teachers implement Common Core Standard 6.G.1 for 6th grade mathematics.

Tags: CCSS, common core, area, parallelogram, triangle, trapezoid, middle school mathematics

By Phil Todd
Conic Sections
Some apps involving ellipses , hyperbolas and parabolas

Tags: conic, ellipse, parabola, hyperbola

By saltirenews
Whimsical Clocks Ch4 Kaleidoscope Clock
A Kaleidoscope works as a combination of reflections. Mirrors are typically arranged in an equilateral triangle producing multiple reflections as a symmetric pattern which changes as the triangle rotates. The apps in this collection explain how it's done, and then, of course, turn the kaleidoscope into a clock!

Tags: reflections, clocks, kaleidoscope

By Phil Todd
Generalizations of a Theorem from Archimedes Liber Assumptorum
The first diagram is from Archimedes' Liber Assumptorum (book of Lemmas). The later diagrams are generalizations to conics.

Tags: Archimedes, circle, ellipse, parabola, hyperbola

By Larry Ottman
Common Core Nuggets: Trigonometric Functions
This collection contains apps that will help teachers implement Common Core Function Standard F-TF 2, 3, 5 for High School Mathematics. Apps with an * indicate that they address the modeling standard.

Tags: Functions, Common Core, Trigonometry, Sine, Cosine, Tangent

By Phil Todd
Four bar linkages
Some linkage apps

Tags: linkage, mechanism

By Larry Ottman
Common Core Nuggets: Statistics
This collection contains apps that will help teachers implement the Common Core Statistics Standard S-ID 6a, b, c for High School Mathematics.

Tags: Least squares resgression, residuals, line, fit, function, Algebra, Statistics, Common Core

By Irina Lyublinskaya
Common Core Nuggets: Equivalent Expressions 7.EE.1
This collection contains apps that will help teachers implement Common Core Standard 7.EE.1 for 7th grade mathematics.

Tags: CCSS, common core, middle grades mathematics, equivalent expressions, distributive property, associative property, commutative property, like terms

By Phil Todd
Trammels
Archimedes Trammel is a device for drawing ellipses.

Tags: trammel, ellipse, archimedes

By Phil Todd
Wolfram Technology Conference
Apps accompany Phil Todd's presentation: "Symbolic mechanics: from optimal trebuchets to simple chaotic machines"

Tags: Wolfram, trebuchet, chaos

By
Lab 6
Lab 6 applets

Tags: Arcuri Applets

By saltirenews
Whimsical Clocks Ch.3 Binary Clock
Our binary digital clock has 3 sections, red beads for hours, purple for minutes and cyan for seconds. Beads in the up position represent the binary digit 1, beads in the down position represent 0. In addition to the Binary Clock, we've provided a Binary Test app to practice your binary numbers.

Tags: clocks, Binary numbers

By Phil Todd
Euclids Elements
A selection of illustrations from a few propositions in Books 1, 2 and 6 of Euclids Elements

Tags: Euclid

By Phil Todd
The Mathematical Mechanic
Some apps illustrating ideas in The Mathematical Mechanic by Mark Levi

Tags: mechanics

By Duncan
Trammels
Exploring Archimedes Trammel, an ancient tool for drawing ellipses.

Tags: trammel, curves

By James
Miller_Lab6
Collection of Java Applets

Tags: Applets

By mmilla
Creating HTML5 Apps with Geometry Expressions
This collection contains the examples apps that were created for "Creating HTML5 Apps with Geometry Expressions."

Tags: examples

By Nick Halsey
Proportional Puzzlers
A collection of puzzlers that involve points that are located proportionally by functions or constants on curves.

Tags: Proportional point, function, circle, radius, flower, puzzler, trace, ellipse, polar function

By Nick Halsey
Circles, Tangents, and N-gon Diagonals
A sequence of apps exploring some interesting characteristics of odd-sided regular polygons.

Tags: Circles, tangents, diagonals, n-gons, heptagon, nonagon, hendecagon, tridecagon

By Phil Todd
Box Solar Cookers
A couple of apps to let you explore a simple box solar cooker

Tags: solar cooker

By Phil Todd
Triangle round or inside curves
Machines which find extremal triangles related to a given curve

Tags: maximum, minimum, triangle, curve

By Irina Lyublinskaya
Common Core Nuggets: Pythagorean Theorem 8.G.6
This collection contains apps that will help teachers implement Common Core Standard 8.G.6 for 8th grade mathematics.

Tags: CCSS, common core, Pythagorean Theorem, right triangle, proof, middle grades mathematics, area, ratio

By Phil Todd
Reflections
A collection of examples which explore the properties and uses of reflections and combinations of reflections.

Tags: reflection, transformation

By aletadoss
Calculus Student Apps 2014
Student generated Calculus Apps

Tags: Calculus

By Larry Ottman
Common Core Nuggets: Quadratic Zeros
This collection contains apps that will help teachers implement Common Core Algebra Standard A-SSE 3a for High School Mathematics.

Tags: Quadratic, Function, zeros, roots, x-intercepts, Common Core, Algebra

By Andrew Zhao
Euclid\'s Elements Books 1-4
Several of these exist already, but these are my favorite apps from the original book. -Andrew

Tags: Euclid

By Isabel Muench
Euclid's Elements-Basic Constructions
These apps are taken from Book I of Euclid\\\'s Elements. Proposition 1 shows how to construct an equilateral triangle. Proposition 2 demonstrates how to create a straight line equal to a given straight line. Finally, proposition 3 teaches how to cut off a straight line that is equal to a given line from a larger line.

Tags: Euclid\\\'s-Elements, Basic-Constructions

By Nick Halsey
Euclid's Elements - Books 1-4 (samples)
This collection features several apps that were created for the electronic book for the iPad that adds interactive diagrams to Euclid’s Elements, a mathematical classic (Available from the iTunes store).

Tags: Euclid, Elements, Geometry, Proposition, Proof

By Phil Todd
Using Force to Crack Some Geometry Chestnuts
Some apps illustrating Philip Todd's Presentation Using Force to Crack Some Geometry Chestnuts by Mark Levi

Tags: Mechanic,

By Phil Todd
Finding the Fermat Point by Physics and by Transformation
These apps accompany the presentation Finding the Fermat Point by Physics and by Transformation in the More Favorite Geometry Proofs session at MathFest 2014

Tags: Fermat, triangle, Toricelli, minimum

By Phil Todd
NWMC 2013
Apps for presentation entitled "Creating electronic handouts and assessments as browser, tablet or smartphone apps"

Tags: talk, NWMC

By Duncan
Function Composition
These apps will test how good you are at function composition.

Tags: function composition

By saltirenews
Whimsical Clocks Ch.2 Abacus Clock
Like your hands, an abacus lets you count in fives and tens. The first pair of columns are for hours, the second pair for minutes and the third pair for seconds. The bead at the top of each column counts for 5 single beads. The beads in the main compartment of the left column each count for 10 single beads. The bead in the top compartment, left column, counts as 50.

Tags: clocks, Abacus

By mmilla
Creating HTML5 Apps with Mechanical Expressions
This collection contains the examples apps that were created for "Creating HTML5 Apps with Mechanical Expressions."

Tags: examples

By mmilla
5 Puzzlers
5 clever geometry puzzlers. Can you solve them all?

Tags: puzzlers, geometry

By Phil Todd
Clocks
A collection of whimsical timepieces

Tags: clocks

By Larry Ottman
Common Core Nuggets: Conics
This collection contains apps that will help teachers implement Common Core Geometry Standard G-GPE 1, 3 for High School Mathematics.

Tags: geometry, common core, conic sections, circle, ellipse, hyperbola

By Phil Todd
Discovering Geometry
Some Examples from Discovering Geometry

Tags: Geometry


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