(mathematics) any of five axioms that are generally recognized as the basis for Euclidean geometry
Used in the same subject area: Mathematics, Mathematical logic.Euclid's fifth axiom: alternatives and connections
Begin with the reviewed alternatives, then explore broader connections without treating every related word as an automatic substitute.
Euclid's fifth axiom
only one line can be drawn through a point parallel to another line
No hand-reviewed synonym set has been published for this word yet.
The broader connections below can still help you explore, but they are labelled by the evidence joining the words and should not automatically be treated as substitutes.
Words from the same subject
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(mathematics) any of five axioms that are generally recognized as the basis for Euclidean geometry
Used in the same subject area: Mathematics, Mathematical logic.(mathematics) any of five axioms that are generally recognized as the basis for Euclidean geometry
Used in the same subject area: Mathematics, Mathematical logic.(logic and mathematics) abstract, theoretical organization of terms and implicit relationships that is used as a tool for the analysis…
Used in the same subject area: Mathematics, Mathematical logic.(mathematics, logic) such that the arguments or roles can be interchanged; "the arguments of the symmetric relation, ‘is a sister of,’…
Used in the same subject area: Mathematics, Mathematical logic.(logic and mathematics) a relation such that it holds between an element and itself
Used in the same subject area: Mathematics, Mathematical logic.(logic and mathematics) a relation such that it holds between an element and itself
Used in the same subject area: Mathematics, Mathematical logic.(logic and mathematics) a relation between three elements such that if it holds between the first and second and it also holds between…
Used in the same subject area: Mathematics, Mathematical logic.a logical quantifier of a proposition that asserts the existence of at least one thing for which the proposition is true
Used in the same subject area: Mathematics, Mathematical logic.a logical quantifier of a proposition that asserts the existence of at least one thing for which the proposition is true
Used in the same subject area: Mathematics, Mathematical logic.a logical quantifier of a proposition that asserts that the proposition is true for all members of a class of things
Used in the same subject area: Mathematics, Mathematical logic.Words connected by meaning
Their definitions overlap or refer to similar ideas. Use these to widen your search, then compare the exact meanings.
The act of adjusting to a line; arrangement in a line or lines; the state of being so adjusted; a formation in a straight line; also,…
Its definition shares important concepts with this word: line, drawn, point, parallel.A small circle of the sphere parallel to the horizon; a circle or parallel of altitude. Two stars which have the same almucantar have…
Its definition shares important concepts with this word: line, drawn, point, parallel.To render parallel to a certain line or direction; to bring into the same line, as the axes of telescopes, etc.; to render parallel, a…
Its definition shares important concepts with this word: line, drawn, point, parallel.A solid of the form described by the revolution of a right-angled triangle about one of the sides adjacent to the right angle; -- call…
Its definition shares important concepts with this word: line, drawn, point, parallel.A surface which may be generated by a straight line moving in such a manner as always to meet a given straight line and a given curve,…
Its definition shares important concepts with this word: line, drawn, point, parallel.Any right line passing through the center of a figure or body, as a circle, conic section, sphere, cube, etc., and terminated by the o…
Its definition shares important concepts with this word: line, drawn, point, parallel.The line or course upon which anything is moving or aimed to move, or in which anything is lying or pointing; aim; line or point of te…
Its definition shares important concepts with this word: line, drawn, point, parallel.A line along which a point in another line moves, or which in any way governs the motion of the point and determines the position of t…
Its definition shares important concepts with this word: line, drawn, point, parallel.A point so related to a conic section and certain straight line called the directrix that the ratio of the distace between any point o…
Its definition shares important concepts with this word: line, drawn, point, parallel.The formation or production of any geometrical magnitude, as a line, a surface, a solid, by the motion, in accordance with a mathemati…
Its definition shares important concepts with this word: line, drawn, point, parallel.A straight line considered as drawn from a center to an indefinite distance in one direction, the complete ray being the whole line dr…
Its definition shares important concepts with this word: line, drawn, point, parallel.A warped surface which may be generated by a straight line moving in such a manner that every point of the line shall have a uniform m…
Its definition shares important concepts with this word: line, drawn, point, parallel.A curve described by the moving extremity of a line the other end of which is fixed, this line being constantly parallel to the direct…
Its definition shares important concepts with this word: line, drawn, point, parallel.(mathematics) a non-Euclidean geometry in which the parallel axiom is replaced by the assumption that through any point in a plane the…
Its definition shares important concepts with this word: line, drawn, point, parallel.A certain conic section supposed to be drawn in the tangent plane to any surface, and used to determine the accidents of curvature of…
Its definition shares important concepts with this word: line, drawn, point, parallel.The line drawn through a focus of a conic section parallel to the directrix and terminated both ways by the curve. It is the parameter…
Its definition shares important concepts with this word: line, drawn, point, parallel.The longest, or longer, dimension of any object, in distinction from breadth or width; extent of anything from end to end; the longest…
Its definition shares important concepts with this word: line, drawn, point, parallel.A horizontal line or plane; that is, a straight line or a plane which is tangent to a true level at a given point and hence parallel t…
Its definition shares important concepts with this word: line, drawn, point, parallel.Explore Academic Dictionary
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