Podcast
Questions and Answers
What is the term used to describe a set of points incident with a line?
What is the term used to describe a set of points incident with a line?
- Pencil of lines
- Range of points
- Pencil of points (correct)
- Perspectivity
What is the center of perspectivity?
What is the center of perspectivity?
- The line containing the points of intersection
- The axis of the perspectivity
- The axis of the perspective
- The point where the lines intersect (correct)
What is the term used to describe a set of lines incident with a point?
What is the term used to describe a set of lines incident with a point?
- Pencil of points
- Projectivity
- Perspectivity
- Pencil of lines (correct)
What is the definition of an elementary correspondence?
What is the definition of an elementary correspondence?
What is the term used to describe the line containing the points of intersection?
What is the term used to describe the line containing the points of intersection?
What is the main difference between projective and Euclidean geometry?
What is the main difference between projective and Euclidean geometry?
What is the primary characteristic of projective geometry that distinguishes it from Euclidean geometry?
What is the primary characteristic of projective geometry that distinguishes it from Euclidean geometry?
In the context of projective geometry, what is a perspectivity?
In the context of projective geometry, what is a perspectivity?
What is the term used to describe a one-to-one mapping between two pencils of points?
What is the term used to describe a one-to-one mapping between two pencils of points?
What is the result of projecting a figure through a pin hole?
What is the result of projecting a figure through a pin hole?
What is the term for a set of lines that intersect at a point?
What is the term for a set of lines that intersect at a point?
What is the term used to describe the line containing the points of intersection of the corresponding lines of two pencils of lines?
What is the term used to describe the line containing the points of intersection of the corresponding lines of two pencils of lines?
What is a quadrangle in the context of projective geometry?
What is a quadrangle in the context of projective geometry?
What is the condition for two distinct lines to be incident with exactly one point?
What is the condition for two distinct lines to be incident with exactly one point?
What is the result of extending the sides of a 2D drawing of a tetrahedron?
What is the result of extending the sides of a 2D drawing of a tetrahedron?
What is a one-to-one mapping between two pencils of lines called?
What is a one-to-one mapping between two pencils of lines called?
What is the center of perspectivity?
What is the center of perspectivity?
What is a one-to-one mapping between two pencils of points called, if it is a composition of finitely many elementary correspondences or perspectivities?
What is a one-to-one mapping between two pencils of points called, if it is a composition of finitely many elementary correspondences or perspectivities?
