All Abstract Algebra Resources
Example Questions
Example Question #2 : Fields
Identify the following definition.
For some subfield of , in the Euclidean plane , the set of all points that belong to that said subfield is called the __________.
Angle
None of the answers.
Plane
Constructible Line
Line
Plane
By definition, when is a subfield of , in the Euclidean plane , the set of all points that belong to is called the plane of .
Example Question #1 : Geometric Fields
Identify the following definition.
Given that lives in the Euclidean plane . Elements , , and in the subfield that form a straight line who's equation form is , is known as a__________.
Circle in
Line in
Plane
Angle
Subfield
Line in
By definition, given that lives in the Euclidean plane . When elements , , and in the subfield , form a straight line who's equation form is , is known as a line in .
Example Question #3 : Fields
Identify the following definition.
Given that lives in the Euclidean plane . Elements , , and in the subfield that form a straight line who's equation form is , is known as a__________.
Line in
Subfield
Plane
Circle in
Angle
Line in
By definition, given that lives in the Euclidean plane . When elements , , and in the subfield , form a straight line who's equation form is , is known as a line in .
Example Question #4 : Fields
Identify the following definition.
If a line segment has length and is constructed using a straightedge and compass, then the real number is a __________.
Magnitude
Constructible Number
Plane
Angle
Straight Line
Constructible Number
By definition if a line segment has length and it is constructed using a straightedge and compass then the real number is a known as a constructible number.
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