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.

This essentially **simplifies** the treatment of such functions.

The use of gas-fired furnaces greatly **simplifies** manual labour.

And versions; but it has been argued by Hort (in Westcott's and Hort's New Testament in Greek, appendix, pp. 77-81) that four ancient authorities omitted the words, and that their omission **simplifies** the whole chronology, since " the feast " which was " near " in vi.

The assumption n=s/R **simplifies** the adiabatic equation, but the value n=3.5 gives So =0.497 at zero pressure, which was the value found by Callendar experimentally at 108° C. and 1 atmosphere pressure.