Developing project of University of Zagreb



Plane Geometry
Educational materials for lectures and exercises containing interactive files supported by GeoGebra.
Extended Euclidean Plane
Second Order Curves - Conic Sections
Introduction to Algebraic Curves
Classification of Conics, Order and Class of Conics
Conjugate Diameters of Conics
On Curvature of Conics
Construction of Second Order Curves
Ellipse
Parabola
Hyperbola

Transformations of the Plane
Introduction to Collineations
Perspective Collineation
Basic Properties and the Perspective Collinear Image of a Point
Perspective Collinear Image of a Straight Line
Vanishing Lines
Perspective Collinear Image of a Line Segment
Collinear Image of Polygons
Perspective Collinear Image of a Circle
Affine Transformation
Basic Properties and Affine Image of a Point
Affine Image of a Straight Line
Affine Image of a Line Segment
Affine Image of Polygons
Affine Image of a Circle
Space Geometry – Method of Projections
Educational materials for lectures and exercises containing visualizations and animations supported by Mathematica and
interactive files supported by GeoGebra and PowerPoint.
Extended Euclidean Space
Basic Geometrical Relationships
Solids
Monge's Method of Projections (or Orthogonal Projections)
Introduction to Monge's Method of Projections (or Orthogonal Projections)
Orthogonal Projection of a Point
Orthogonal Projection of a Straight Line
Orthogonal Projection of a Line Segment and its Length
Orthogonal Projection of a Solid with a Base Parallel to the Plane of Projection
Profile Projection
Orthogonal Projection of a Plane
Point of Intersection of a Line and a Plane
Orthogonality
Orthogonal Projection of Plane Figures and Rotation
Orthogonal projection of solids in arbitrary position.
PREPAERING MATERIALS FOR EXERCISES
SOME SOLVED EXERCISES (drawings supported by Rhino)

Axonometry
Elevated Projection
Space Geometry
3D Computer Modeling

Educational materials for lectures, exercises and independently learning. It contains visualizations and animations supported by Mathematica, and about 50 five minutes long videos helping to overcome basics of Rhino 3D modeling.
Introduction to Software Rhinoceros (Rhino)
Solid Modeling Supported by Rhino
Surfaces
Introduction to Surfaces and Planes Tangent
Algebraic Surfaces
Cones and Cylinders
Quadric Surfaces – Second Order Algebraic Surfaces
(ellipsoid, hyperboloid, paraboloid, cone, cylinder)

Intersections of Surfaces with Planes
Intersections of Second Order Cones
Intersections of Second Order Cylinders
Intersections of Sphere
Architectural Dome
SOLVED EXAMPLES SUPPORTED BY RHINO
Intersections of Surfaces
Space Curves
Intersection Curves from Cones, Cylinders and Spheres
Intersection of Two Cones
Intersection of a Cone and a Cylinder
Intersection of Two Cylinders
Vaults
Intersection by Sphere
SOLVED EXAMPLES SUPPORTED BY RHINO
Terrains
Horizontal Road on Ideal Terrain ( Rhino)
Straight Inclined Road on Ideal Terrain (Rhino)
Topographical Surface (Rhino)
Road on Terrain (Rhino)
Layer (Rhino)
Linear Perspective
Educational materials for lectures and exercises containing Mathematica visualizations and interactive files supported by GeoGebra.
Basic Properties
Some Tasks Related to the Horizontal Plane
Connection between Orthogonal Projection and Perspective
Selected Examples
Point of Intersection of a Straight Line and a Plane
Plane Determined by a Straight Line and a Point not Laying on the Line
Perspective of a Straight Line Determined by Two Points
Perspective of a Circle
Ellipse as a Perspective of a Circle
Ellipse as a Perspective of a Circle
Construction of Perspective from Two Scales
Shades and Shadows
Educational materials for lectures and exercises supported by PowerPoint.
Introduction
Construction of Shades and Shadows
Shadows of a Circle and a Sphere
Shades and Shadows in Axonometry and Linear Perspective
Shades and Shadows as an Application of Intersections
Differential Geometry
Educational materials for lectures and exercises supported by Mathematica.
Posters
Platon's Solids
Semi Regular Polyhedrons
Vaults
Architectural Dome
Terrains