Consider the spheres shown in the figure. The sphere at the left shows two lines. In Euclidean geometry, we know that two lines are either parallel or cross at exactly one point. Discuss this property in relation to what you observe in the figure.

A) Two lines are either parallel or cross at exactly two points.
B) Two lines intersect in two points.
C) Lines are great circles, and m is not a great circle.

Question

Consider the spheres shown in the figure. The sphere at the left shows two lines. In Euclidean geometry, we know that two lines are either parallel or cross at exactly one point. Discuss this property in relation to what you observe in the figure. 


A) Two lines are either parallel or cross at exactly two points. 
B) Two lines intersect in two points. 
C) Lines are great circles, and m is not a great circle.

anonymous · Answer

Consider the spheres shown in the figure. The sphere at the left shows two lines. In Euclidean geometry, we know that two lines are either parallel or cross at exactly one point. Discuss this property in relation to what you observe in the figure. A) Two lines are either parallel or cross at exactly two points. B) Two lines intersect in two points. C) Lines are great circles, and m is not a great circle. https://angel.spcollege.edu/AngelUploads/Content/MGF1107_3510_0475/_assoc/A7C0D8378F1B4321923F92FCE82B8967/mc018-1.jpg

dan815 · Answer

m is parallel to l in sphere 2

dan815 · Answer

and at the intersection point they are perpendicular

dan815 · Answer

if u zoom in really close it looks like tangent lines intersection

dan815 · Answer

and tangent line at the end of a circle must be perpendicular

dan815 · Answer

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