SU7683A1 - Counting logarithmic device - Google Patents

Description

The proposed counting logarithmic device in the form of a cylinder with logarithmic divisions on a helix applied on it is based on the same principle as in a logarithmic calculating rule, i.e. Some segments are logarithms of numbers: when added, they give the product, when subtracted, the quotient of dividing one number by another. Unlike logarithmic lines and a circle, in the proposed instrument, the indicated segments are plotted, representing the logarithms of numbers from one to ten not on the plane, but on the cylinder and not in the form of a straight line or a circle, but in the form of a spiral (screw-shaped).

FIG. Figures 1 and 2 of the schematic drawing illustrate the proposed calculating logarithmic device.

The cylindrical fixed ruler A has a helical slot along which the spiral ruler D moves. On the cylinder (threads of the screw) and spirals are drawn matching divisions, corresponding in their length to logarithms of numbers from one to ten. By twisting a cylinder out of a spiral for a certain length in one direction or another, it is possible, just as in the ruler, by moving the middle ruler to a certain segment to add or remove

the other, i.e. get the product or quotient of two numbers.

Since the principle of the countable ruler was not violated (the screw can be represented as a normal ruler, but twisted into a spiral), all those sign rules that apply to the countable ruler and the circle remain valid. The resulting numbers of characters are either simply remembered or deposited by an arrow on a special scale when crawling.

If you need to be able to extract square and cubic roots and build to a degree, you can use the surface of a cylinder (thread of a screw) to apply grades on the principle of a slide rule; it is possible to use the back side of a moving helix to plot logarithms of numbers.

Thus, the device has all the same capabilities for performing various mathematical operations that have a ruler and a circle, but as a result of a significant increase in the linear length of the chalices, the accuracy of the calculations increases. While on the ruler and the wheel, this has to be done at the expense of their portability, i.e. increase only the length or diameter, the spiral allows