Lectures related to Descriptive Geometry: Cones and Cylinders

Introduction to Rhino Surfaces and Meshes

Introduces working with surfaces, polysurfaces, and solids in Rhino, covering rendering, material editing, and mesh creation.

Monge Method: Spatial Geometry Problems and Monge Projections

Explores spatial geometry problem-solving using Monge representation and projections.

Mechanical Design Principles: Technical Drawing and Projections

Introduces mechanical design principles, focusing on technical drawing and projection methods essential for accurate representation in engineering.

Geometric Descriptive: Shadows and Perspective

Explores the basics of Geometric Descriptive, emphasizing shadows and perspective in 2D and 3D.

Mechanical Construction I: Views and Projections

Covers the basics of mechanical construction, focusing on views correspondence, pivot lines usage, and axonometric projections.

Perspective Drawing: Techniques and Concepts

Explores the principles of perspective drawing, focusing on vanishing points and different perspective types.

Curves: Parameterized Curves and Tangent Vectors

Explores the definition of curves, parameterized curves, and tangent vectors in relation to open intervals and continuous functions.

Advanced Analysis II: Isoclines Method

Explores the Isoclines Method and solutions of differential equations with tangents.

Surfaces in R^3: Curves and Regular Surfaces

Covers curves in R^2, regular surfaces in R^3, and geometric properties of edges.

Differential Geometry: Parametric Curves & Surfaces

Introduces the basics of differential geometry for parametric curves and surfaces, covering curvature, tangent vectors, and surface optimization.

Curves with Poritsky Property and Liouville Nets

Explores curves with Poritsky property, Birkhoff integrability, and Liouville nets in billiards.

Mechanical Construction Basics

Introduces the basics of mechanical construction, technical drawings, and standardization in technical communication.

Curves and Surfaces

Covers the representation of plane curves and the nature of obtained curves.

Introduction to Rhino: Surfaces and Meshes

Introduces the fundamentals of working with NURBS and surfaces in Rhino, covering tools for creating curves, surfaces, and meshes.

Technical Drawing: Fundamentals and Applications

Covers the basics of technical drawing, including projections, standardized norms, and challenges in incomplete drawings.

Introduction to Descriptive Geometry: Course Overview and Applications

Introduces the Descriptive Geometry course, emphasizing visualization techniques and their applications in solving spatial problems.

Geometric Transformations: Introduction and History

Explores the historical evolution of geometric transformations, from the Renaissance to modern times.

Intersection Numbers: Algebraic Counting Solutions

Explores intersection numbers for counting solutions to polynomial equations algebraically and their geometric significance in intersection theory and enumerative geometry.

Tangent Lines and Equality

Explores the intersection multiplicity of curves and the absence of common tangent lines.

Mechanical Construction I: Views Correspondence and Axonometric Projections

Covers views correspondence, axonometric projections, and intersections in mechanical drawings.