Adjustment to Isochronism. The manipulation of the hair-
spring so that the long and short arcs of the balance are performed in the
same time. The theory of isochronism advanced by Dr. Robert Hooke
and more commonly known as Hooke's law, " as the tension so is the
force," is an axiom in mechanics with which everybody is, or should be
familiar. This law has like nearly all others its exceptions, and it
is only partially true as applied to hair-springs of watches; "otherwise,'
says Glasgow, "every spring would be isochronous." Pierre Le Roy-
says that there is in every spring, of a sufficient extent, a certain length
where all the vibrations, long or short, great or small, are isochronous,
and that this length being secured, if you shorten the spring the great
vibrations will be quicker than the small ones; if, on the contrary, it is
lengthened, the small arcs will be performed in less time than the great
ones. Glasgow says that a hair-spring of whatever form to be isochron-
ous must satisfy the following conditions: Its center of gravity must
always be on the axis of the balance, and it must expand and contract in
the vibrations concentrically with that axis. When these conditions are
secured in a properly made spring it will possess the quality of isochron-
ism, that is, its force will increase in proportion to the tension, and it
wHl not exert any lateral pressure on the pivots.
spring so that the long and short arcs of the balance are performed in the
same time. The theory of isochronism advanced by Dr. Robert Hooke
and more commonly known as Hooke's law, " as the tension so is the
force," is an axiom in mechanics with which everybody is, or should be
familiar. This law has like nearly all others its exceptions, and it
is only partially true as applied to hair-springs of watches; "otherwise,'
says Glasgow, "every spring would be isochronous." Pierre Le Roy-
says that there is in every spring, of a sufficient extent, a certain length
where all the vibrations, long or short, great or small, are isochronous,
and that this length being secured, if you shorten the spring the great
vibrations will be quicker than the small ones; if, on the contrary, it is
lengthened, the small arcs will be performed in less time than the great
ones. Glasgow says that a hair-spring of whatever form to be isochron-
ous must satisfy the following conditions: Its center of gravity must
always be on the axis of the balance, and it must expand and contract in
the vibrations concentrically with that axis. When these conditions are
secured in a properly made spring it will possess the quality of isochron-
ism, that is, its force will increase in proportion to the tension, and it
wHl not exert any lateral pressure on the pivots.

