06:09
The Trapezoid and Parabola Challenge (Analytic Geometry)
The Trapezoid and Parabola Challenge What begins as an innocent geometric shape quickly spirals into an …
Analytic Geometry
Explore all lectures and proofs categorized under Analytic Geometry.
Showing 10 lectures
06:09
10:20Can You Inscribe This Quadrilateral? (Analytic Geometry)
At first glance, it looks like a standard analytic geometry problem: trace the locus of a moving point, …
06:51Can You Find the Tangency Point of Circles? (Analytic Geometry)
Most exam questions push you to find an answer. The nastiest ones test whether you dare to prove it’s …
07:34The Hidden Locus in This Moving Triangle (Analytic Geometry)
What happens when an ellipse, a parabola, a tangent line, and a shifting geometric locus collide in a single …
05:31Can You Find the Equation of This Moving Line? (Analytic Geometry)
4 missions. 1 sliding ladder. Pure analytic geometry magic! 📐 Can a sliding segment really create both a …
11:11Can You Find Parameter 'a' from This Trajectory?
Two points. One unknown parameter. A 5-step geometric chain reaction. What starts as a simple ratio problem …
13:32The hidden ellipse in the circle (Analytic Geometry)
At first glance, it looks like a standard high school circle problem: a moving center, a horizontal …
06:29How to Solve Parabola Tangents (Analytic Geometry)
What happens when classic analytic geometry meets calculus shortcuts? In this challenge, we take on a …
06:02How to Find a Tangent Line to a Circle (Analytic Geometry)
What looks like an intimidating multi-part exam problem is actually an elegant geometric puzzle waiting to be …
3 Videos
19:11
Pythagorean Triples Trilogy: Mental Math, The Unit Circle & Euler's Totient
The Story: The 2,500-Year Quest for Integer Right Triangles The Pythagorean Theorem, $a^2 + b^2 = c^2$, is …