ALT Diagram of Geometry Problem 1627 showing three mutually tangent circles with collinear centers, a common external tangent line, and two curvilinear incircles in the spaces between them.
ALT Diagram of Geometry Problem 1627 showing three mutually tangent circles with collinear centers, a common external tangent line, and two curvilinear incircles in the spaces between them.
ALT Geometric diagram for Problem 1626 showing triangle ABC with side lengths a, b, and c, containing an inscribed rhombus BDEF of side length d, and intersecting lines defining segment GH.
ALT Illustration of Geometry Problem 1625: Isosceles right triangle with an interior point and altitude
ALT Illustration of Geometry Problem 1625: Isosceles right triangle with an interior point and altitude
ALT Geometry Problem 1624 diagram illustrating a right triangle with an incircle, a circumscribed square of side 2r, and hypotenuse segments m and n
ALT Geometric diagram showing triangle ABC with three squares constructed externally on its sides, forming an outer hexagon EDGFIH.
ALT Geometric diagram showing two adjacent squares resting on a horizontal baseline. An auxiliary segment AG and its corresponding altitude m form a right triangle ABG. A bounding rectangle Q circumscribes both squares, oriented with sides parallel and perpendicular to AG. The challenge is to prove that rectangle Q is strictly a square with side length L = h + m.
