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Must an arc whose endpoints are on the edge of the Poincare Disk be a line in hyperbolic geometry?

No.


An arc whose endpoints are on the edge of the Poincaré Disk must be a line in hyperbolic geometry?

False


Lines on a hyperbolic plane are considered to be?

Hyperbolic geometry is a beautiful example of non-Euclidean geometry. One feature of Euclidean geometry is the parallel postulate. This says that give a line and a point not on that line, there is exactly one line going through the point which is parallel to the line. (That is to say, that does NOT intersect the line) This does not hold in the hyperbolic plane where we can have many lines through a point parallel to a line. But then we must wonder, what do lines look like in the hyperbolic plane? Lines in the hyperbolic plane will either appear as lines perpendicular to the edge of the half-plane or as circles whose centers lie on the edge of the half-plane


Greek mathematician known for his theories in geometry?

You're probably referring to Euclid, whose theories on geometry are still used today, hence "Euclidean Geometry". If it's not Euclid , Pythagoras was also quite well-known for maths, geometry and the like. You're probably referring to Euclid, whose theories on geometry are still used today, hence "Euclidean Geometry". If it's not Euclid , Pythagoras was also quite well-known for maths, geometry and the like.


An undefined term of geometry?

an angle whose measure is between 90 and 180


What are sides of an angle in geometry?

Angles meet at a vertex whose plural is vertices


Under hyperbolic discounting whose interests are you likely to short shift in order to gain immediate economic benefit right now?

Out Future Selves


Geometry relates to everyday life?

Yes. Try driving a car (or bicycle) whose wheels are not round.


What are some geometry terms that begin with the letter Z?

zero angle - an angle whose measure is zero


Name the polygon whose angles total 180 degrees?

In Geometry that are many different types of polygons. The polygon whose angles equal up to 180 degrees is a triangle.


Where does a point lie if it is on a segment whose endpoints are on the sides of the angle but it is not an endpoint of the segment?

If a point lies on a segment whose endpoints are on the sides of an angle but is not an endpoint of the segment, then it is located strictly between the two endpoints of that segment. This means the point is inside the angle formed by the two sides, but not on the angle's boundary itself. The point divides the segment into two smaller segments, both of which lie within the angle.


Do graphic designers use geometry?

yes they do in doing graph design you need to know the angles intersections, it has a little of algebra but it has more geometry alot Only the ones whose work looks good.