Scan 82
The violin, its famous makers and their imitators, 1887
20 lines. Read by computer on 28 September 2026. No printed page number was found. See the scan on archive.org.
1THE STRINGS.
3B A C is the average angle formed by a string passing over the bridge of a Violin, and the tension acts equally in the direction A B, A C.
5Take A C = A B.
7From the point B draw B D parallel to A C. And from the point C draw C D parallel to A B, cutting B D at D.
9Join A D.
11Then, if a force acting on the point A, in the direction of A B, be represented in magnitude by the line A B, an equal force acting in the direction A C, will be represented by the line A C, and the diagonal A D will represent the direction and magnitude of the force acting on the point A, to keep it at rest.
13N.B.—The bridge of a Violin does not divide the angle B A C quite equally, but so nearly that A D may be taken as the position of the bridge.
15Also, the plane passing through the string of a Violin, on both sides of the bridge, is not quite perpendicular to the belly. To introduce this variation into the calculation, would render that less simple, and it will be sufficient to state, that about the 150th part must be deducted from the downward pressures given in the above table from the 1st and 4th strings, and about the 300th part for the 2nd and 3rd strings. The total to be deducted for the four strings will not exceed three ounces.
17On the line A B or A C set off a scale of equal parts, beginning at A, and on A D a similar scale beginning at A.
19Mark off on the scale A B as many divisions as there are lbs. in the tension of a string, for example 18, and from that point draw a line parallel to B D, cutting A D at the point 8 in that scale. Then, if the tension of a string be 18 lbs., the downward pressure on the bridge will
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