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Circle,
visual summary.
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Geometry Problem 1598: Inradius Ratio with Median BM in a Right-Angled Triangle: A STEM Geometry Challenge |
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Geometry Problem 1597: Circle-Triangle Intersection Problem: A STEM Geometry Challenge |
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Geometry Problem 1596: Triangle Projections:
Unraveling the DE Projection with Equal
Angles!: A STEM Geometry Challenge
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Geometry Problem 1592: A
Semicircle Challenge for Mental Clarity
Involving Radii, Perpendiculars, Midpoint
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Geometry Problem 1590:
Midpoints, Incircles,
Areas, and the Art of Balance.
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Geometry Problem 1589: Unlock the Mystery:
Prove the Ratio of BD to OD is
Square Root of Two in a 90� Circular
Sector!.
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Geometry Problem 1588:
Unlocking the Tangent: Prove the Fifth of the
Radius in a Sector with Semicircle.
|
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Geometry Problem 1585:
Discover how a triangle's incircle reveals
the secret of harmonious convergence
|
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Geometry Problem 1584:
Proving a Ratio Involving Incircle and Angle
Bisector
Unveiling a Potentially Unexplored Geometric
Relationshp.
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Geometry Problem 1583:
Prove Lines CK and BL are Parallel.
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Geometry Problem 1582:
Prove That Angles AFD and AEF Are Equal in
This Secant Problem.
|
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Geometry Problem 1581:
Prove the Angle Bisection in a Cyclic
Quadrilateral.
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Geometry Problem 1580:
60-Degree Triangle Challenge: Uncover AD
Using Excenter and Circumcircle Clues.
|
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Geometry Problem 1579:
Involving perpendicular diameters, tangents,
and triangle areas.
|
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Geometry Problem 1578:
Find the Area of a Bicentric Quadrilateral
with Perpendicular Extensions of Opposite
Sides!.
|
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Geometry Problem 1575:
Prove an Angle Bisector in a Triangle
Involving an Altitude, Midpoint, and
Excircle
|
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Geometry Problem 1574:
Triangle with Three Circles through a Point
and the Concyclicity of Six Intersection
Points
|
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Geometry Problem 1573:
Two circles are externally tangent at point
C. Given specific secants and tangents, find
the angle at point K
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Geometry Problem 1569:
Prove a Relationship: EG Equals the Incircle
Diameter in Triangle ABC with Square
CDEF.
|
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Geometry Problem 1567:
Finding Tangent Distances in a Circumscribed
Isosceles Trapezoid.
|
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Geometry Problem 1561:
Triangle ABC, Circumcenter O, Orthocenter H,
Parallel Line, and Angle
Secrets.
|
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Geometry Problem 1556: Right
Triangle ABC and Inscribed Circle. The
problem involves circle, chords, tangent,
perpendicular lines, and congruence
|
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Geometry Problem 1555: Find
Length of DE. The problem involves chords,
tangent, circles, and intersections of
line
|
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Geometry Problem 1553: Solving
for OC in Triangle ABC with Unique Angle
Bisectors
|
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Geometry Problem 1551: Unraveling Angle
Relations in Cyclic Quadrilaterals: Solving
for Angle GEJ: A High School Level
Investigation
|
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Geometry Problem 1549: Unraveling the
Geometric Mystery: Calculating Angle
BGE with the Incircle and Tangent in Triangle
ABC
|
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Geometry Problem 1547:
Tangents' Dance: Exploring B-to-AC Distance
in a
Circle's Grasp
|
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Geometry Problem 1546: Discover the Hidden
Geometry: Calculate Area of Contact Triangle
DEF in Triangle ABC
|
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Geometry Problem 1545: Unlock
the Geometric Mystery: Calculate the Area of
Triangle ABC with Inscribed Circle and
Excenters!
|
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Geometry Problem 1544:
Challenge: Calculate the Area of a Triangle
with Given Arc and Semicircle
Intersections.
|
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Geometry Problem 1543:
Calculating the Area of Quadrilateral ABED in
a Square with a Side Length of 20 and an
Intersecting Arc.
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Geometry Problem 1542:
Unraveling a Geometric Puzzle with a
Circumscribed
Right Triangle and Square to the Same Circle
for School and College.
|
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Geometry Problem 1541 Challenge: Unveiling BG
Length in an Inscribed Quadrilateral with
Harmonic Quaternary Insight for Academic
Pursuit.
|
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Geometry Problem 1540: Solving for the Length
of Chord in a Circle: Analyzing Intersections
and Given Values for Academic Pursuits.
|
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Geometry Problem 1539
Demystified: Unraveling the Lengths in an
Isosceles Triangle with Altitude and Tangent
Secrets!.
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Geometry
Problem 1535: Crack the Code: Inscribed
Circle in Square - Angle Challenge! Solve the
Mystery.
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Geometry
Problem 1534: High School Brainteaser:
Tangent Circles, Common External Tangent, and
Angle Conundrums!.
.
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Geometry
Problem 1533: Discovering Relationships
between Angles and Lines in an Exterior Right
Triangle of a Square - A High School
Challenge.
.
|
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Geometry
Problem 1532: Crack the Code of Geometry
Problem 1532: How to Find the Angle in a
Square with a Tangent Semicircle! - A High
School Challenge.
.
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Geometry
Problem 1531: Discover How to Calculate the
Length of a Chord in a Circle with Diameter
Intersection and an Angle between the
Diameter and Chord - A High School
Challenge.
.
|
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Geometry
Problem 1528: Cracking the Circle Code:
Unveiling the Tangent and Angle of an
Inscribed Circle within a 90-Degree Circular
Sector.
.
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Geometry
Problem 1527: Discovering the Hidden Angle:
Solving the Puzzle of Two Intersecting
Circles.
.
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Geometry
Problem 1521 and a Thematic Poem.
Unlock the Secret to Finding the Measure of an
Angle in a Triangle with Two Sides as Diameters
of Circles.
|
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Geometry
Problem 1503.
Triangle, Incircle, Tangent, Congruence,
Perpendicular.
|
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Geometry
Problem 1502.
Right Triangle, Incircle, Inradius, Geometric
Mean of 2 Inradii, Angle Bisector,
Perpendicular, Tangential Quadrilateral.
|
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Geometry
Problem 1500.
Circle, Perpendicular, Tangent, Secant, Cyclic
Quadrilateral, Parallel, Similarity,
Measurement.
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Geometry
Problem 1498.
Intersecting Circles, Diameter, Common Chord,
Secant, Cyclic Quadrilateral, Concurrent Lines,
Concyclic and Collinear Points.
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Geometry
Problem 1495.
Circle, Parallel Chords, 30 Degree Angle, Radius
Squared.
|
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Geometry
Problem 1492.
Right Triangle, Altitude, Incenters, Angle,
Measurement.
|
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Geometry
Problem 1491.
Cyclic Quadrilateral, Diagonal, Incircle, Angle,
Measurement.
|
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Geometry
Problem 1486.
Right Triangle, Altitude, Incircle, Tangent,
Measurement.
|
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Geometry
Problem 1485.
Triangle, Orthocenter, Altitude, Circle,
Diameter, Tangent, Measurement.
|
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Geometry
Problem 1484.
Right Triangle, Altitude, Incircles, Inradius,
Measurement.
|
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Geometry
Problem 1483.
Isosceles Right Triangle, Excenter,
Perpendicular, Measurement.
|
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Dynamic Geometry 1481.
Five Tangential or Circumscribed Quadrilaterals,
Pitot Theorem, Congruence, Step-by-step
Illustration. GeoGebra,
iPad.
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Dynamic Geometry 1480.
Japanese Theorem for Cyclic Polygon, Sangaku,
Triangulation, Non-intersecting Diagonals, Sum
of Inradii, Invariant, Step-by-step
Illustration. GeoGebra,
iPad.
|
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Dynamic Geometry 1479.
Triangle, Circumcircle, Angle Bisector,
Perpendicular Bisector, Chord, Concyclic Points,
Parallel Lines,, Step-by-step Illustration.
GeoGebra,
iPad.
|
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Dynamic Geometry 1478.
Cyclocevian, Reuschle-Terquem Theorem,
Concurrent Cevians, Triangle, Circumcircle,
Secant line, Step-by-step Illustration.
GeoGebra,
iPad.
|
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Dynamic Geometry 1477.
Miquel's Pentagram Theorem, Pentagon, Triangle,
Circumcircles, Concyclic Points, Step-by-step
Illustration. GeoGebra,
iPad.
|
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Dynamic Geometry 1475.
Clifford Intersecting Circles Theorem,
Step-by-step Illustration, GeoGebra, iPad.
|
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Dynamic Geometry 1474.
Butterfly Theorem, Circle, Chords, Midpoints,
Step-by-step Illustration.
|
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Dynamic Geometry 1473.
Kosnita's Theorem, Triangle, Four Circumcenters,
Concurrent Line, Step-by-step Illustration.
|
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Dynamic Geometry 1472.
Cyclic Quadrilateral, Perpendicular Diagonals,
Rectangle, Step-by-step Illustration.
|
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Dynamic Geometry 1471.
Equilateral Triangle, Inside/Outside Point,
Incenters, Tangency Points, Concurrent Lines,
Step-by-step Illustration.
|
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Dynamic Geometry 1470.
Tangential Quadrilateral, Incircles, Tangent,
Parallel, Rhombus, Step-by-step Illustration.
|
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Dynamic Geometry 1469.
Triangle, Circumradius, Inradius, Midpoints,
Arcs, Sum of Distances, Step-by-step
Illustration.
|
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Dynamic Geometry 1468.
Steiner's Theorem, Triangle, Circumradius,
Inradius, Sum of Exradii, Step-by-step
Illustration.
|
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Geometry Problem 1466.
Tangential Quadrilateral, Newton Line, Incenter,
Midpoint, Diagonal, Collinear Points.
Step-by-step Illustration using GeoGebra.
|
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Geometry Problem 1465.
Tangential Quadrilateral, Incenter, Inscribed
Circle, Equal Sum of Areas.
Step-by-step Illustration using GeoGebra.
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Geometry
Problem 1458.
Triangle, Incircles, Excircle, Area,
Step-by-step Illustration using GeoGebra.
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Geometry
Problem 1457.
Altitudes, Circles, Similarity,
Product of the Inradii Lengths,
iPad. Step-by-step illustration using GeoGebra.
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Geometry
Problem 1456.
Altitudes, Orthic Triangle, Circumcircle,
Parallel lines, Similarity, Area,
iPad. Step-by-step illustration using GeoGebra.
|
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Geometry
Problem 1455.
Nagel Point, Excircles, Incircle, Congruent
Segments,
iPad. Step-by-step illustration using GeoGebra.
|
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Geometry
Problem 1454.
Intersecting Circles, Perpendicular Lines,
Cyclic Quadrilateral, Collinear
Points,
iPad. Step-by-step illustration using GeoGebra.
|
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Geometry
Problem 1453.
Two Semicircles, Cyclic Quadrilateral, Concyclic
Points,
iPad.
|
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Dynamic Geometry 1452.
Japanese Theorem, Sangaku,
Cyclic Quadrilateral, Incenter, Rectangle,
Inradius. Step-by-step
illustration using GeoGebra.
|
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Dynamic Geometry 1449.
Salmon Line. Step-by-step
illustration using GeoGebra.
|
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Dynamic Geometry 1448.
Simson Line. Step-by-step
illustration using GeoGebra.
|
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Dynamic Geometry Problem
1446.
Lemoine Line, triangle, circumcircle, tangent,
collinear points. Step-by-step animation using
GeoGebra.
|
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Geometry Problem 1443.
Triangle Area, Incenter, Circumcenter, 90
Degree, Perpendicular, One-third
Area, Art, Poster, Typography, iPad Apps.
|
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Geometry Problem 1442.
Triangle, Altitudes, Orthocenter, Perpendicular,
Congruent Angles,
Similarity, Measurement, Art, Poster,
Typography, iPad Apps.
|
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Geometry Problem 1441.
Intersecting Circles, Perpendicular Bisector,
Parallel Lines, Art, Poster, Typography, iPad
Apps.
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