CodalSearch this book — or all of Codal…⌘K
nydus/On Growth and FormPublic
Page 533 of 959
Table of Contents

CHAPTER XI THE LOGARITHMIC SPIRAL

the apices (or other corôÙreôÙsponôÙding points) of all these triangles have their locus upon a logarithmic spiral: a result which follows directly from that alternative definition of the logarithmic spiral which I have quoted from Whitworth (p. 507).

Again, we may build up a series of right-angled triangles, each of which is a gnomon to the preceding figure; and here again, a logarithmic spiral is the locus of corôÙreôÙsponôÙding points in these successive triangles. And lastly, whensoever we fill up space with

A mathematical diagram showing a logarithmic spiral superimposed on a grid of squares, illustrating geometric growth.

a {513} collection of either equal or similar figures, similarly situated, as in Figs. 256, 257, there we can always discover

533