A spherical TRIANGLE is a triangle that is contained under three arches of a great circle or sphere.

A right-angled TRIANGLE is one which has one right angle.

An acute-angled TRIANGLE is one that has all its angles acute.

An obtuse-angled TRIANGLE is that which has one obtuse angle.

An oblique-angled TRIANGLE is a triangle that is not right angled.

An equilated TRIANGLE is one whose sides are all equal.

An isosceles TRIANGLE, -
An equilegged TRIANGLE,

A triangle that has only two legs or sides equal.

A scalenus TRIANGLE. One that has not two sides equal.

Similar TRIANGLES are such as have all their three angles respectively equal to one another.