In the large diagram, the distance, A C, on the horizontal line corresponds to the distance, N B, on the instrument.  At A erect a vertical line, and mark upon it a point B such that B C shall be exactly eighteen times any convenient unit, B I. In the illustration B C is 26 inches, and B I is 11/2 inches, so that B C is 27 inches in length.  About C as a center describe the arcs, B L, I K, and through I draw a vertical line, cutting B L in D; draw the radius D C, cutting the inner arc, I K, in J, through J draw another vertical, cutting B L in E, and so on.

In the triangles, A B C, 1 D C, 2 E C, we have B I = D J = E F = 1/18 of the hypotenuse in each case, therefore the bases, A C, 1 C, 2 C, are divided in the same proportion, as required, at the points 1, 2, 3.  And we might extend the arcs, B L, I K, and repeat the above operation until all the frets were located.  But should that be done, the diagram might become inconveniently large, and some of the intersections might not be reliably determined.  In order to avoid this, the spacing of the outer arc may be stopped at any convenient division, as L. The vertical by which that point is determined cuts B C at B’, and through B’ a new arc, B’ L’, is described.  Through the points in which this arc cuts the radial lines already drawn, a new series of verticals is passed, which will divide another portion of A C as required, and by repeating this process the spacing of the whole neck may be effected by a diagram of reasonable size.

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GLOVE MAKING.

Glove making is almost a century old in this country, having been begun in the neighborhood of Gloversville and Johnstown, N.Y., about 1803.  Until 1862 the manufacture of gloves in Fulton County, although even then the chief manufacturing industry, was of comparatively small importance.  Gloversville and Johnstown were then quiet villages of from three to four thousand people.  The flourishing establishments of to-day, or such of them as then existed, were small and comparatively unimportant.  In 1862 the stimulating influence of a high protective tariff showed itself in the increased business at Gloversville, Johnstown, and the adjoining hamlet, Kingsboro.  These became at once the leading sources of supply for the home market gloves of a medium grade.  The quality of the product has steadily improved, and the variety has been increased, until now American-made gloves are steadily driving out the foreign gloves.  The skill of American glovers is equal to that of foreign glove makers, and in some respects—­notably in the quality of the stitching, and, in some grades, the shape—­the American gloves are the best.  Foreign expert workmen have been drawn over here from the great glove centers of Europe, so that the greatest skill has been secured here.  The annual value of the glove industry in Fulton County has reached about $7,000,000.