Mathematics Atlas

How Proof Is Made
Sign In
Text size
100%
Theme
Theorem

Intercept Theorem

Geometry

The intercept theorem, also known as Thales's theorem in some traditions, the basic proportionality theorem, or the side splitter theorem, is a result in elementary geometry concerning the ratios of line segments created when two rays sharing a common starting point are cut by a pair of parallel lines. This description is adapted from Wikipedia contributors under CC BY-SA 4.0; changes were made. https://creativecommons.org/licenses/by-sa/4.0/

Facts
Classification
Statement Form
Identity or Equation 1
Connections

Has Statement Form

Equation, Concepts

Entity-backed identity for the statement-form enum value this theorem already carries, resolved to a mathematics concept by an explicit value-to-entity map (phase 3 bucket conversion, docs\design_entity_backed_browse_buckets_20260928.md). The statement-form fact itself stays on the theorem unchanged.

Identity, Concepts

Entity-backed identity for the statement-form enum value this theorem already carries, resolved to a mathematics concept by an explicit value-to-entity map (phase 3 bucket conversion, docs\design_entity_backed_browse_buckets_20260928.md). The statement-form fact itself stays on the theorem unchanged.

In Branch

Source Intercept theorem (Wikipedia)

Proved By

Euclid, Mathematicians
Source Intercept theorem (Wikipedia)
Sources
1. Intercept theorem (Wikipedia)
  • In Branch: Geometry, Lead sentence
    er theorem, is an important theorem in elementary geometry about the ratios of various line segments that are created if two rays
  • Proved By: Euclid, Lead paragraph
    its first known proof appears in Euclid
View the Source
Comments (0)
No comments yet. Be the first to share a thought.
Reader Challenges (0)
No disputes yet. Spotted an error or a better source? Open the first one.