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What's the idea behind constructing the radical axis?

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#geometry #euclidean-geometry #power-of-the-point
287
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Circle Geometry Colinear Points Problem

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#geometry #euclidean-geometry #circles #power-of-the-point
87
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Geometry problem I am having trouble to solve

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#geometry #euclidean-geometry #power-of-the-point
139
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Given the feet of the altitudes of $\triangle ABC,$ point $R$ and the midpoint $P$ of $\overline{AB}$, prove$ |RA|\cdot|RB|=|RP|\cdot|RN|$

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#geometry #euclidean-geometry #circles #power-of-the-point
369
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A problem concerning a parallelogram and a circle

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#geometry #euclidean-geometry #triangles #circles #power-of-the-point
69
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Converse of Linearity of Power of a Point

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#geometry #power-of-the-point
36
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Prove: One and only one congruent chord intersects a given chord at a given point

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#geometry #euclidean-geometry #power-of-the-point
69
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What is the length of the segment at angle $\alpha$ from a point on the diameter to the circle?

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#geometry #euclidean-geometry #analytic-geometry #power-of-the-point
68
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How do we know chords joining secants are themselves parallel? (Hadamard)

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#geometry #solution-verification #euclidean-geometry #circles #power-of-the-point
91
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Does the Power of a Point Theorem apply to a point at infinity?

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#geometry #euclidean-geometry #projective-geometry #infinity #power-of-the-point
131
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Circles tangential to the real line

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#geometry #euclidean-geometry #circles #power-of-the-point
2.7k
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Two circles intersecting, common tangent

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#geometry #circles #tangent-line #geometric-transformation #power-of-the-point
176
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Show that $MC$ is the bisector of the angle $\widehat{AMN}$ .

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#contest-math #euclidean-geometry #circles #geometric-transformation #power-of-the-point
1.3k
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Longest Chord in a circle?

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#geometry #contest-math #euclidean-geometry #circles #power-of-the-point
287
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Converse of power of a point for conic sections.

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#euclidean-geometry #conic-sections #coordinate-systems #power-of-the-point

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