He acted as if he had demonstrated a Euclidean proposition flawlessly.
He constructed every one of his later speeches on the plan of a Euclidean solution.
In elementary geometry, however, the Euclidean idea is still held.
He returned the proof, saying that he could not accept any of it as elucidating the exact area of a circle, or as Euclidean.
The proof itself is borrowed, with slight alterations, from Cuthbertson's "Euclidean Geometry."
Their own primitive diagrams, like a badly drawn Euclidean problem, satisfy their idea of studies from the life.
The Euclidean geometer can take it for granted that the reader understands what a line or plane, a solid or an angle is.
That there exists a triangle, the sum of whose angles is congruent to a straight angle, the Euclidean; II.
The term "non-Euclidean" is used to designate any system of geometry which is not strictly Euclidean in content.
That they are compatible with the Euclidean group is easy to see.
Euclidean Relating to geometry of plane figures based on the five postulates (axioms) of Euclid, involving the derivation of theorems from those postulates. The five postulates are: 1. Any two points can be joined by a straight line. 2. Any straight line segment can be extended indefinitely in a straight line. 3. Given any straight line segment, a circle can be drawn having the line segment as radius and an endpoint as center. 4. All right angles are congruent. 5. (Also called the parallel postulate.) If two lines are drawn that intersect a third in such a way that the sum of inner angles on one side is less than the sum of two right triangles, then the two lines will intersect each other on that side if the lines are extended far enough. Compare non-Euclidean. |