[′in‚rād·ē·əs]
(mathematics)
The radius of the inscribed circle of a triangle.
References in periodicals archive ?
[A.sub.n+1] be an n-dimensional simples in [R.sup.n] and r be the inradius of A.
Recall that [r.sub.1] = qq' is the inradius. In the three children this has changed to pq', qp', pp'.
where r(B) denotes the inradius of B and [Q.sub.l] is any square of side l.
Let us define: dB as the boundary of B, p(B) as its perimeter, d(B) as its diameter, r(B) as its inradius and [Q.sub.s] (x) as a square of side s centered at x.
The second result concerns convex domains of finite inradius [[lambda].sub.0] defined as
Namely, for any convex domain n of finite inradius 6q it was proved that
We will fix h [greater than or equal to] 0 and consider [lambda] as the constant best possible in (6) for the set of all n-dimensional convex domains with fixed inradius [[delta].sub.0].
If [OMEGA] is an n- dimensional convex domain of finite inradius 60, then the sharp inequality
We will show in Lemma 1 that the relative error [[??].sup.d.sub.k] (A)/S(A) is in a sharp way bounded from below by (a multiple of) the inradius of Z and from above by (a multiple of) the outer radius of Z.
and the corresponding zonotope [Z.sub.V] has inradius [r.sub.V] [approximately equal to] 0.18290 and circumradius [R.sub.V] [approximately equal to] 0.98199; see Fig.