Browsing: All Content in Geometry for Construction and loci Browse discussions |
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Resource Name |
Topic (Course) |
Technology |
Type |
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Brianchon's First Theorem
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Straightedge and compass (Geometry) |
Cabri |
Tool |
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[0]
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A Cabri *.fig file written to illustrate Brianchon's First Theorem which can be stated, "If AB, CD, and EF are concurrent at X, and BC, DE, and FA are concurrent at Y, then AD, BE, and CF are concurre...
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Brianchon's Theorem
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Straightedge and compass (Geometry) |
Cabri |
Tool |
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[0]
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A Cabri *.fig file written to illustrate Brianchon's Theorem which can be stated, "If each side of a hexagon touches a conic, then its diagonals are concurrent."
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Desargues Theorem
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Straightedge and compass (Geometry) |
Cabri |
Tool |
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[0]
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A Cabri *.fig file written to illustrate Desargues Theorem which can be stated, "If the lines joining corresponding vertices of two triangles are concurrent, then the intersections of corresponding si...
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La Hire's Theorem
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Straightedge and compass (Geometry) |
Cabri |
Tool |
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[0]
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A Cabri *.fig file written to illustrate La Hire's Theorem which can be stated, "If P lies on the polar of Q, then Q lies on the polar of P."
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Pappus's Theorem
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Straightedge and compass (Geometry) |
Cabri |
Tool |
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[0]
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A Cabri *.fig file written to illustrate Pappus's Theorem which can be stated, "If alternate vertices of a hexagon are collinear, then the intersections of opposite sides are collinear."
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Pascal's Theorem
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Straightedge and compass (Geometry) |
Cabri |
Tool |
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[0]
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A Cabri *.fig file written to illustrate Pascal's Theorem which can be stated, "If the vertices of a hexagon lie on a conic, then the intersections of opposite sides are collinear."
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The 3 Tangents Theorem
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Straightedge and compass (Geometry) |
Cabri |
Tool |
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[0]
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A Cabri *.fig file written to illustrate The 3 Tangents Theorem which can be stated, "If the triangle ABC touches the conic at P, Q, and R as shown, then AP, BQ, and CR are concurrent."
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The 3 Tangents and 3 Chords Th...
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Straightedge and compass (Geometry) |
Cabri |
Tool |
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[0]
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A Cabri *.fig file written to illustrate The 3 Tangents and 3 Chords Theorem which can be stated, "Triangle ABC is inscribed in a conic. If the tangent at A meets the chord BC at P, the tangent at B m...
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The Converse of Pascal's Theor...
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Straightedge and compass (Geometry) |
Cabri |
Tool |
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[0]
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A Cabri *.fig file written to illustrate The Converse of Pascal's Theorem which can be stated, "If the points A, B, C, D, E, F are such that the intersections of AC and BD, of AE and DF, and of BE and...
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Simple Constructions
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Construction and loci (Geometry) |
Cabri Jr. |
Activity |
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[1]
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In this activity students use the Cabri Jr. application to perform simple constructions.
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Geometria
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Construction and loci (Geometry)+ |
Computer |
Tool |
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[0]
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Geometria is free (GPL) cross-platform software based on a two-role (teacher, student) model. The teacher creates a problem, provides it with an answer and saves the problem in a file. The student ope...
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Basic Constructions (Getting S...
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Construction and loci (Geometry) |
Flash |
Support Material |
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[0]
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This mini-lesson explains the concepts and procedures for basic constructions.
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Constructing Parallel and Perp...
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Construction and loci (Geometry) |
Flash |
Support Material |
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[0]
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This mini-lesson explains how to construct parallel and perpendicular lines, using earlier lessons about the basics of compass and straightedge construction.
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Constructing a hexagon inscrib...
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Straightedge and compass (Geometry) |
Flash |
Tool |
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[0]
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An interactive applet and associated web page that provide step-by-step instructions on how to construct
a hexagon inscribed in a circle using only a compass and straightedge.
The method begin...
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Constructing a pentagon inscri...
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Straightedge and compass (Geometry) |
Flash |
Tool |
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[0]
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An interactive applet and associated web page that provide step-by-step instructions on how to construct
a pentagon inscribed in a circle using only a compass and straightedge.
The method begins...
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Constructing a regular hexagon...
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Straightedge and compass (Geometry) |
Flash |
Tool |
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[0]
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An interactive applet and associated web page that provide step-by-step instructions on how to construct
a regular hexagon using only a compass and straightedge.
The method begins with a line se...
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Midpoint of a Line Segment (Ge...
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Construction and loci (Geometry) |
Flash |
Support Material |
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[0]
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This lesson explains how to construct the midpoint of a line segment and inscribe a circle in a given triangle.
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Printable compass / straighted...
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Straightedge and compass (Geometry) |
Flash |
Activity |
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[2]
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A web page that contains a list of 35 printable worksheets for compass and straightedge constructions.
Each printable sheet has 2 or 3 problems and links back to the pages interactively explaining th...
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4 Standard Types of Loci
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Construction and loci (Geometry) |
Java Applet |
Tool |
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[0]
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This allows students to explore 4 loci problems with a JavaSketchpad sketch: from 1 fixed point, from 1 fixed line, from 2 fixed points, and from 2 fixed lines. The students can manipulate the drawin...
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Bisecting a Line using Compass...
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Straightedge and compass (Geometry) |
Java Applet |
Tool |
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[1]
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An interactive applet and associated web page that provide step-by-step instructions on how to bisect a line using only a compass and straightedge.
The animation can be run either continuously lik...
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Bisecting an Angle using Compa...
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Straightedge and compass (Geometry) |
Java Applet |
Tool |
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[0]
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An interactive applet and associated web page that provide step-by-step instructions on how to bisect an angle using only a compass and straightedge.
The animation can be run either continuously l...
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Construct 30-6-90 triangle. M...
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Straightedge and compass (Geometry) |
Java Applet |
Tool |
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[0]
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An interactive applet and associated web page that provide step-by-step animated instructions on how to
contruct 30-60-90 triangle with given base length
using only a compass and straightedge.
...
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Construct Tangents from a Poin...
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Straightedge and compass (Geometry) |
Java Applet |
Tool |
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[0]
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An interactive applet and associated web page that demonstrate how to construct the
two possible tangents to a circle from an external given point, using compass and straightedge.
It starts wi...
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Construct a 45° angle with ...
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Straightedge and compass (Geometry) |
Java Applet |
Tool |
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[2]
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An interactive applet and associated web page that show how to construct a 45° angle with a compass and straightedge.
The animation can be single-stepped or run as a continuous movie.
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Construct a 90 deg angle with ...
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Straightedge and compass (Geometry) |
Java Applet |
Activity |
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[0]
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An interactive applet and associated web page that show how to construct a 90° right angle with a compass and straightedge.
The animation can be single-stepped or run as a continuous movie.
<...
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