The optical manager of that company, H. Dennis Taylor (no relation), devised the Cooke triplet lens in the 1890s.
The Aviar type of lens (Taylor Hobson) is similar but is considered to have a different origin, from the splitting of the central biconcave element of the Cooke triplet.
A simple example is the three-element Cooke triplet, still in use over a century after it was first designed, but many current photographic lenses are much more complex.
Or a triplet may be designed with three spaced glasses, e.g. the Cooke triplet.
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