GeometricStep [{hyp1,hyp2,…}]
gives a symbolic representation of a step in the definition of a geometric scene, in which the hypotheses hypi are introduced.
GeometricStep [hyps,label]
labels the step with label when displaying an instance of the geometric scene.
GeometricStep
GeometricStep [{hyp1,hyp2,…}]
gives a symbolic representation of a step in the definition of a geometric scene, in which the hypotheses hypi are introduced.
GeometricStep [hyps,label]
labels the step with label when displaying an instance of the geometric scene.
Details
- The hypi can be any geometric object or hypothesis supported by GeometricScene except another GeometricStep .
- The presence of a GeometricStep adds a menu for selecting stages of a GeometricScene . »
- In a GeometricScene , each GeometricStep is satisfied in order, treating points and scalar quantities introduced in earlier steps as fixed in subsequent steps.
- If list in GeometricScene […,list] contains both GeometricStep objects and individual hypotheses, each run of individual hypothesis will be grouped in a GeometricStep . »
- By default, GeometricStep [hyps] labels steps according to their position in the list of steps.
Examples
open all close allBasic Examples (2)
Display an interactive scene that constructs, in steps, a square equal in area to a given polygon:
Label the steps in a scene constructing an equilateral triangle from a given line segment:
Scope (1)
Display an interactive scene that constructs, in steps, the bisector of a given angle:
Add textual descriptions to each step:
Properties & Relations (2)
If there is a GeometricStep , consecutive hypotheses are grouped into geometric steps:
The presence of a GeometricStep adds a menu for selecting stages of a GeometricScene :
Possible Issues (1)
If constraints are added to objects after the step in which those objects are introduced, the scene may be unsatisfiable:
Adding the constraints to the same step in which the objects are introduced may allow the scene to be satisfiable:
Tech Notes
Related Guides
History
Text
Wolfram Research (2020), GeometricStep, Wolfram Language function, https://reference.wolfram.com/language/ref/GeometricStep.html.
CMS
Wolfram Language. 2020. "GeometricStep." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/GeometricStep.html.
APA
Wolfram Language. (2020). GeometricStep. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/GeometricStep.html
BibTeX
@misc{reference.wolfram_2025_geometricstep, author="Wolfram Research", title="{GeometricStep}", year="2020", howpublished="\url{https://reference.wolfram.com/language/ref/GeometricStep.html}", note=[Accessed: 09-January-2026]}
BibLaTeX
@online{reference.wolfram_2025_geometricstep, organization={Wolfram Research}, title={GeometricStep}, year={2020}, url={https://reference.wolfram.com/language/ref/GeometricStep.html}, note=[Accessed: 09-January-2026]}