例句與造句

1. In the Klein disk model and the Poincar?disk model of the hyperbolic plane.
2. Both the Poincar?disk model and the Klein disk model are models of the hyperbolic plane.
3. *In the Poincar?disk model of the hyperbolic plane, geodesics are represented by circular arcs which meet the bounding circle at right angles.
4. In the Beltrami Klein model of the hyperbolic plane, an ideal triangle is modeled by a Euclidean triangle that is circumscribed by the boundary circle.
5. In the Poincar?disk model of the hyperbolic plane, hypercycles are represented by lines and circle arcs that intersect the boundary circle at non-right angles.
6. It's difficult to find models of the hyperbolic plane in a sentence. 用models of the hyperbolic plane造句挺難的
7. The Cayley transformation not only takes one model of the hyperbolic plane to the other, but realizes the isomorphism of symmetry groups as conjugation in a larger group.
8. In the Poincar?half-plane model of the hyperbolic plane, hypercycles are represented by lines and circle arcs that intersect the boundary line at non-right angles.
9. *If the hemisphere is reduced to a plane by orthographic projection, we now have the Beltrami-Klein model of the hyperbolic plane, in which geodesics are represented by straight lines.
10. The Poincar?half-plane model takes one-half of the Euclidean plane, bounded by a line " B " of the plane, to be a model of the hyperbolic plane.
11. The Beltrami coordinates of a point are the Euclidean coordinates of the point when the point is mapped in the Beltrami Klein model of the hyperbolic plane, the " x "-axis is mapped to the segment and the origin is mapped to the centre of the boundary circle.
12. The Poincar?coordinates of a point are the Euclidean coordinates of the point when the point is mapped in the Poincar?disk model of the hyperbolic plane, the " x "-axis is mapped to the segment and the origin is mapped to the centre of the boundary circle.
13. The Weierstrass coordinates of a point are the Euclidean coordinates of the point when the point is mapped in the hyperboloid model of the hyperbolic plane, the " x "-axis is mapped to the ( half ) hyperbola ( t \, \ 0 \, \ \ sqrt { t ^ 2 + 1 } ) and the origin is mapped to the point ( 0, 0, 1 ).