Book 04. Poster. Construction of rectilinear figures in and around circles. Euclid’s Elements

Book 4 Poster: Construction of Rectilinear Figures in and Around Circles | Euclid's Elements A2 Print

Compass-and-straightedge constructions at their finest—Book IV presents 16 elegant propositions for inscribing and circumscribing regular polygons within and around circles. This A2 poster showcases the geometric constructions that bridge circular and rectilinear geometry.

Classical Geometric Constructions

Book IV of Euclid's Elements demonstrates precise methods for constructing regular polygons using only compass and straightedge—the fundamental tools of classical geometry. Key constructions include:

• Inscribing a triangle in a circle
• Inscribing a square in a circle
• Inscribing a regular pentagon in a circle
• Inscribing a regular hexagon in a circle
• Inscribing a regular quindecagon (15-sided polygon) in a circle
• Circumscribing these figures around circles

These constructions were essential to ancient architects, astronomers, and artists, and remain fundamental to geometric understanding today. The poster visualizes these elegant relationships in Byrne's color-coded style, revealing the hidden harmonies between circular and polygonal forms.

Essential for Geometric Construction Study

From the groundbreaking complete visual edition of Euclid's Elements. Pairs perfectly with Book 3 (Circle Geometry) and Book 13 (Platonic Solids). Available in the complete 14-poster collection.

Specifications:

• Size: A2 (420 × 594 mm / 16.5 × 23.4 inches)
• Subject: Construction of Rectilinear Figures in and Around Circles
• Unframed, premium archival printing
• Perfect for geometry studios and classrooms