Geometric construction linking tangent constraints and quadratic span conditions

This example demonstrates the “Span 4” idea through an interactive geometric configuration: by changing input parameters, the key points and connecting segments maintain prescribed constraints, revealing how a four-part span structure can be enforced visually. The core math concepts include the tangent function (as an angle/slope constraint), quadratic equations (as the underlying measurement/feasibility condition), and polygon-based geometry relationships related to kite/rhombus-like structure and symmetry. Construction highlights (from the GeoGebra construction summary) rely on multiple Textfield and driven input objects—w_{3}, w_{1}, w_{2}, a, b, c, InputBox1, InputBox2, v, w, InputBox3, d, Y, InputBox4—together with text outputs (text1, text2) to display the computed span-related quantities as the configuration updates. Suitable for secondary-school geometry with function applications and for students who want to connect tangent-based constraints to quadratic geometric reasoning.