Hyperbolic Case
In hyperbolic geometry when the curvature is −1, the law of sines becomes
In the special case when B is a right angle, one gets
which is the analog of the formula in Euclidean geometry expressing the sine of an angle as the opposite side divided by the hypotenuse.
- See also hyperbolic triangle.
Read more about this topic: Law Of Sines
Famous quotes containing the word case:
“When you are invited by someone to a wedding banquet, do not sit down at the place of honor, in case someone more distinguished than you has been invited by your host...But when you are invited, go and sit down at the lowest place, so that when your host comes, he may say to you, Friend, move up higher; then you will be honored in the presence of all who sit at the table with you.”
—Bible: New Testament, Luke 14:8,10.
Related Phrases
Related Words