Geometry Problem 1555: Find Length of DE. The problem involves chords, tangent, circles, and intersections of line

Consider a circle with center O. As shown in the figure, we draw chord CD and an additional circle centered at Q, tangent to CD at point T, and intersecting the original circle at A and B. The extensions of lines AC and BD meet at H. Likewise, extensions of lines AT and BT intersect BH and AH at E and F. Given CF = 2, FH = 6, and EH = 4 units, find the length of DE.

Illustration of problem 1555: Circle with chord CD, tangent circle, and lines AC, BD, AT, BT, and points A, B, H, E, F.

In circle's embrace,
Chord and tangent interlace,
Figures intertwine,
Lines converge in graceful dance,
DE's length we seek, advance.

Uncover and share solutions to this problem.

Utilizing Stereographic Projection in Geometric Art: Addressing Issue 1555

Applying Stereographic Projection in Geometric Art: An Artistic Transformation of Issue 1555

In this illustration, stereographic projection and mathematical transformations are utilized to distort and reshape the geometry figure of problem 1554, producing distinctive spherical effects. This exemplifies an engaging application of geometry in digital image editing, empowering users to create visually captivating images from their figures.

Stereographic projection is a mathematical technique that maps points on a sphere to points on a plane (flat surface).

Read more, explore further

Geometry Problems
Open Problems
Visual Index
All Problems
Tangent Line
Intersecting Circles
Concyclic Points
Cyclic Quadrilateral
Parallel lines
Similarity, Proportions
View or Post a solution 

Discover Even More: See Also...

Problem 1556

Geometry Problem 1556

Problem 1554

Geometry Problem 1554

Problem 1553

Geometry Problem 1553

Problem 1552

Geometry Problem 1552

Problem 1551

Illustration of problem 1551

Problem 1550

Geometry Problem 1550

Problem 1549

Geometry Problem 1549

Problem 1548

Geometry Problem 1548


Search our site with Google: