This particular spiral , which is known as either an Euler or Cornu spiral, finds important applications in optical diffraction theory and the above integrals representing x and y are …

The example spiral that we will be calculating is from the ADOT project along S.R. 64 as shown on sheet RS-17 of the Results of Survey. We will walk through each step to calculate this …

In this brief section, we consider some of Archimedes’ studies of tangents and areas of the Archimedean spiral (as it is called today). This worked is contained in his On Spirals, which …

The beautiful Euler spiral, defined by the linear relationship between curvature and arclength, was first proposed as a problem of elasticity by James Bernoulli, then solved accurately by …

The following two images illustrates Archimedes’s spiral and Reciprocal spiral as mutual inverses. The red curve is the reciprocal spiral, the purple is the Archimedes’ spiral.

There are two main areas of concern with modeling an Archimedean spiral in NEC4. The first concern is the appropriate model for the feed region and the second is the relationship …

Since s1 and s2 determine the picture for each equation, it is essential to see the six possibilities. We write all six here in one place, to compare them. Later they will appear in six different …