61) devised a measuring machine which combines the rapidity of the glass-scale micrometer with the accuracy of the spiderline micrometer and simplifies the reductions of the observations at the same time.
After the consolidation of the companies in1889-1890the profits declined, patent rights had expired, material reductions were made in the rates for telephone services, and considerable replacements of plant became necessary, the cost of which was charged to revenue.
There are, however, considerable reductions for distances over 93 m., on a scale increasing in proportion to the distance.
This fact alone is sufficient proof that these conditions, or rather reductions, have been acquired independently of the various groups.
After completing these reductions, Airy made inquiries, before engaging in any theoretical investigation in connexion with them, whether any other mathematician was pursuing the subject, and learning that Hansen had taken it in hand under the patronage of the king of Denmark, but that, owing to the death of the king and the consequent lack of funds, there was danger of his being compelled to abandon it, he applied to the admiralty on Hansen's behalf for the necessary sum.