Welcome guest
You're not logged in.
171 users online, thereof 1 logged in

7969Definition: Incidence

By incidence, we mean in projective geometry that a point and a straight line, or a point and a plane, or a straight line and a plane are subsets and supersets of each other in the set-theoretic sense. In other words, if $A$ is a point, $l$ is a straight line and $\alpha$ is a plane, then

  • $A$ and $l$ are incident (or “$A$ lies on $l$”, or “$l$ passes through $A$”), if and only if $A\subset l,$
  • $A$ and $\alpha$ are incident (or “$A$ lies on $\alpha$”, or “$\alpha$ passes through $A$”), if and only if $A\subset \alpha,$
  • $l$ and $\alpha$ are incident (or “$l$ lies on $\alpha$”, or “$\alpha$ passes through $l$”), if and only if $l\subset \alpha.$

| | | | | Contributors: bookofproofs


This work was contributed under CC BY-SA 3.0 by:

This work is a derivative of:

(none)

Bibliography (further reading)

(none)
FeedsAcknowledgmentsTerms of UsePrivacy PolicyImprint
© 2018 Powered by BooOfProofs, All rights reserved.