Show that the points of intersection of a circle in the plane of a fieldF and a line in the plane of F are points in the plane of F or in theplane of F(√α), where α ∈ F and a is positive. Give an exampleof a circle and a line in the plane of Q whose points of intersectionare not in the plane of Q.

Show that the points of intersection of a circle in the plane of a fieldF and a line in the plane of F are points in the plane of F or in theplane of F(√α), where α ∈ F and a is positive. Give an exampleof a circle and a line in the plane of Q whose points of intersectionare not in the plane of Q.

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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