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Geometric Constructions
Geometric Constructions The program includes 142 animations. Each animation provides detailed, step-by-step description of a straightedge-and-compass geometric construction studied in high school geometry courses. All constructions are grouped in eight sections: Basic Constructions (18 constructions), Segments (19 constructions), Angles (9 constructions), Circles and Arcs (17 constructions), Triangles (32 constructions), Polygons (17 constructions), Transformations (8 constructions), Themes (22 constructions). Section Themes contains subsections: Special Segments, Radical Center, Apollonius circles, Malfatti circles, Arbelos, Collapsing Compass, etc. The program is designed for high school students and teachers. |
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Requirement: Windows 95,98,ME,NT,2000,XP |
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Geometric Constructions OF Contents: - Basic Constructions
- B1 Construct a line segment congruent to a given line segment
- B2 Construct an angle congruent to a given angle
- B3 Construct the bisector of an angle
- B4 Construct the perpendicular bisector of a line segment
- B5 Construct the midpoint of a line segment
- B6 Construct a line perpendicular to a given line from a given point not on the line
- B7 Construct a line perpendicular to a given line at a given point on the line
- B8 Construct a line parallel to a given line and passing through a given point
- Solution 1
- Solution 2
- Solution 3
- B9 Construct a 90¡ã angle
- B10 Construct a right triangle, given legs a, b
- B11 Construct a right triangle, given leg a and hypotenuse c
- B12 Construct a right triangle, given leg a and angle A
- B13 Construct a right triangle, given leg a and angle B
- B14 Construct a right triangle, given hypotenuse c and angle A
- Angles
- A1 Construct an angle congruent to the sum of two given angles
- A2 Construct an angle congruent to the difference of two given angles
- A3 Given angle A. Construct a 90¡ã-A angle
- A4 Construct a 45%-45% right triangle
- A5 Construct a 30%-60% right triangle
- A6 Construct a 18%-72% right triangle
- A7 Construct a 36%-54% right triangle
- Construct a 36%-72%-72% triangle (The Golden Triangle)
- Circles and Arcs
- C1 Construct the circle that passes through three given noncollinear points
- C2 Construct the cricle with a given radius and passing through two given points
- C3 Construct the center of an arc
- C4 Construct the midpoint of an arc
- C5 Construct the tagent to a given circle through a given point on the circle
- C6 Construct the tagent to a given circle through a given point not on the circle
- Solution 1
- Solution 2
- Solution 3
- Solution 4
- C7 Construct the lines tangent externally to two given circles
- C8 Construct the lines tangent internally to two given circles
- C9 Given a line segment AB. Construct the locus of points X
- such that angle AXB is congruent to a given angle
- C10 Apollonius Circle
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