semiperimeter

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semiperimeter

[‚sem·i·pə′rim·əd·ər]
(mathematics)
One-half the length of a closed curve.
References in periodicals archive ?
We denote with [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] the semiperimeter of [A.sub.1] [B.sub.1] [C.sub.1] trianle.
This is because the semiperimeter s and the other Heron factors are s = [r.sub.4,] s - c = [r.sub.1], s - b = [r.sub.2], s - a = [r.sub.3], which are but simple deductions from equations (1.1), (1.2).
For example, he introduced the letter e to represent the base of the system of natural logarithms; the use of the Greek letter [pi] for the ratio of circumference to diameter in a circle also is largely due to Euler; the symbol i for [square root of -1]; the use of the small letters a, b and c for the sides of a triangle and of the corresponding capitals A, B and C for the opposite angles stems from Euler, as does the application of the letters r, R and s for the inradius, circumradius and semiperimeter of the triangle respectively; the designation lx for logarithm of x; the use of [SIGMA] to indicate a summation; and, perhaps most important of all, the notation f(x) for a function of x are all due to Euler.
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