Pythagoras
- class PythagoreanPremises(**data)
Bases:
PredicateInterfacePythagoreanPremises a b c abc is in the form of a right angled triangle. ab is perpendicular to ac
Create a new model by parsing and validating input data from keyword arguments.
Raises [ValidationError][pydantic_core.ValidationError] if the input data cannot be validated to form a valid model.
self is explicitly positional-only to allow self as a field name.
- predicate_type: Literal[PredicateType.PYTHAGOREAN_PREMISES]
- A: Point
- B: Point
- C: Point
- static preparse(args)
Preparse the predicate arguments.
- Return type:
tuple[NewType(PredicateArgument,str),...] |None
- check_numerical()
Check numerically the predicate.
- Return type:
bool
- check(proof_state)
Check symbolically the predicate in the current proof state.
If the predicate cannot be decided, return None.
- Return type:
bool|None
- why(proof_state)
- Return type:
tuple[str,tuple[Circumcenter|Cong|Coll|NColl|Cyclic|ConstantAngle|ACompute|LCompute|ConstantLength|ConstantRatio|EqAngle|Diff|RCompute|ObtuseAngle|MidPoint|EqRatio|Perp|NPerp|Para|NPara|SameClock|SameSide|NSameSide|PythagoreanPremises|PythagoreanConclusions|SquaredConstantLength|SquaredConstantRatio|SimtriClock|SimtriReflect|ContriClock|ContriReflect|AngleEquation|LengthEquation,...]] |None
- to_tokens()
Convert the predicate to a tuple of strings.
- Return type:
tuple[NewType(PredicateArgument,str),...]
- model_config: ClassVar[ConfigDict] = {}
Configuration for the model, should be a dictionary conforming to [ConfigDict][pydantic.config.ConfigDict].
- class PythagoreanConclusions(**data)
Bases:
PredicateInterfaceCreate a new model by parsing and validating input data from keyword arguments.
Raises [ValidationError][pydantic_core.ValidationError] if the input data cannot be validated to form a valid model.
self is explicitly positional-only to allow self as a field name.
- predicate_type: Literal[PredicateType.PYTHAGOREAN_CONCLUSIONS]
- A: Point
- B: Point
- C: Point
- static preparse(args)
Preparse the predicate arguments.
- Return type:
tuple[NewType(PredicateArgument,str),...] |None
- check_numerical()
Check numerically the predicate.
- Return type:
bool
- add(proof_state)
Add the predicate to the proof state.
Return a tuple of predicates that are direct consequences of the predicate by definition.
- Return type:
tuple[PredicateInterface,...]
- to_tokens()
Convert the predicate to a tuple of strings.
- Return type:
tuple[NewType(PredicateArgument,str),...]
- model_config: ClassVar[ConfigDict] = {}
Configuration for the model, should be a dictionary conforming to [ConfigDict][pydantic.config.ConfigDict].