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Search Results for “geometry”

By Phil Todd
Ball Throw Modeled with Geometry Expressions
The path of the ball as a function of time has been specified in Geometry Expressions as: (t⋅vx ,  t⋅vy - g⋅t2/2) In this app, you can set the initial velocity x component vx and y component vy. g is 9.8

Tags: projectile, parabola

By Phil Todd
I beam
Change the parameters and change the geometry of the beam.

Tags: I-beam, geometry, parametric

By Larry Ottman
Alternate Hyperbola Construction
This app allows you to experiment with an alternate construction of a hyperbola.  The tracing of the perpendicular bisector of the segment between a point on a circle and a point outside the circle create a hyperbolic locus. (G-GPE 3)

Tags: Geometry, Common-Core, conic-sections, hyperbola, bisector, perpendicular, circle

By Larry Ottman
Alternate Ellipse Construction
This app allows you to experiment with an alternate construction of an ellipse.  The tracing of the perpendicular bisector of the segment between a point on a circle and a point in the circle create an elliptical locus. (G-GPE 3)

Tags: Geometry, Common-Core, conic-sections, ellipse, bisector, perpendicular, circle

By Larry Ottman
Hyperbola Definition
This app allows you to experiment with the definition of a hyperbola as the set of points in which the difference of the distances from two fixed points is a constant. (G-GPE 3)

Tags: Geometry, Common-Core, conic-sections, hyperbola

By Larry Ottman
Circle Equation
This app allows you to practice writing the equation of a circle given a graph. (G-GPE 1)

Tags: Geometry, Common-Core, conic-sections, circle, equation

By Larry Ottman
Ellipse Definition
This app allows you to experiment with the definition of an ellipse as the set of points in which the sum of the distances from two fixed points is a constant. (G-GPE 3)

Tags: Geometry, Common-Core, conic-sections, ellipse

By Larry Ottman
Ellipse Equations
This app allows you to practice writing the equation of an ellipse (horizontal and vertical) given a graph. (G-GPE 3)

Tags: Geometry, Common-Core, conic-sections, ellipse, equation

By Phil Todd
A geometry theorem
H1,H2 and H3 are feet of altitudes, M1,M2,M3 are midpoints. H is the orthocenter.  X2,X3,Y1,Y3,Z1,Z2 are formed by reflecting H1,H2 and H3 in the other altitudes.  X,Y,Z are the intersections between the lines joining midpoints to these reflected points. Observe that H appears to be the incenter of XYZ so long as ABC is acute angled. Otherwise it appears to be one of the excenters

Tags: orthocenter, incenter

By Irina Lyublinskaya
Proof by Shear Transformation
This app allows you to explore geometric proof that is a variation of the original Euclid’s proof. In this proof, the shear transformation is used to change the shapes without changing their areas.

Tags: Pythagorean-Theorem, shear-transformation, common-core, middle-school, geometry, proof


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