Synthetic geometry (often called pure or axiomatic geometry) is the study of geometric figures and spatial properties without using coordinates or algebraic formulas. Instead of calculating equations, it relies on formal axioms, logical deduction, and geometric constructions (such as those using a straightedge and compass) to prove theorems.
Explore Theory
Explore the principal theories, classifications, types, forms, geometries, spatial concepts and visual phenomena of perspective.
Theory Hubs
Foundations of Perspective Theory · Perspective Category Theory & Classification · Perspective Types and Forms · Perspective Geometry & Projection · Vanishing, Horizons & Directional Reference · Form, Space & Perspective Images · Perspective Phenomena, Vision & Problems · Advanced & Additional Perspective Concepts
Foundations & Classification
Theory of Perspective · Functions of Perspective · Perspective Process · Perspective Principle · Perspective System · Perspective Category Theory · Perspective Category · Perspective Type · Categorical Ambiguity · Combined Perspective
Perspective Types & Forms
Types of Perspective · Central Perspective · Parallel Perspective · Linear Perspective · Curvilinear Perspective · Axonometric Perspective · Camera Perspective · Digital Perspective · Artificial Perspective · 360-Degree Perspective · Panoramic Perspective
Geometry, Vanishing & Spatial Reference
Perspective Projection · Perspective Geometry · Projective Transformation · Picture Plane · Station Point · Vanishing Point · Horizon Line · Viewpoint · Vanishing Structures · Optical Versus Geometrical Vanishing
Form, Space & Perspective Images
Perspective and 3-D Space · Object Space · Image Space · Perspective Image / View · Optical Image Chain · Linear Perspective Images · Perspective Product
Vision, Phenomena & Problems
Perspective Phenomena · Foreshortening · Depth Cues · Field of View · Binocular Vision · Scale–Shape–Size Problem · Equivalence / Correspondence Problem · Perspective and Illusion · Perspective and Spatial Immersion
Further reference:
Dictionary of Perspective ·
Perspective Research Centre
Major discipline hubs:
Fine Art, Illustration and Visual Design ·
Architecture and the Built Environment ·
Photography ·
Cinema, Television and Visual Effects ·
Computer Graphics, Games and Extended Reality ·
Cartography, GIS and Spatial Mapping ·
Science, Engineering and Technical Imaging ·
Medical Imaging ·
Perspective in Professional Practice