Comptograph Co. v. Mechanical Accountant Co.

145 F. 331, 76 C.C.A. 205, 1906 U.S. App. LEXIS 3980
CourtCourt of Appeals for the First Circuit
DecidedMay 4, 1906
DocketNo. 612
StatusPublished
Cited by11 cases

This text of 145 F. 331 (Comptograph Co. v. Mechanical Accountant Co.) is published on Counsel Stack Legal Research, covering Court of Appeals for the First Circuit primary law. Counsel Stack provides free access to over 12 million legal documents including statutes, case law, regulations, and constitutions.

Bluebook
Comptograph Co. v. Mechanical Accountant Co., 145 F. 331, 76 C.C.A. 205, 1906 U.S. App. LEXIS 3980 (1st Cir. 1906).

Opinion

COLT, Circuit Judge.

This suit was brought for infringement of letters patent No. 465,355, dated December 15, .1891, granted to Dorr E. Eelt, for improvements in computing machines. Computing machines are for performing arithmetical problems mechanically, thereby doing away with the mental operations incident to their performance in the ordinary way. Computing machines of the type of the patent in suit are simply mechanical adding machines.

The alleged infringement is limited to claims 7 and 8 of the patent. These claims cover a single feature of the Felt machine, known as the “subtraction cut-off.” This cut-oíí is a simple mechanical device for the correction of the error of 1 on the left of the true remainder, which always appears in additive subtraction when the complement of the subtrahend is added to the minuend. The device consist of a series of pivoted levers so arranged with respect to the numeral-wheels and carrying mechanisms as to throw out of operation, in any given sum in additive subtraction, the particular carrying-pawl which causes this error of 1.

In adding machines prior to the Eelt patent, when this error in the remainder appeared upon the reading line of the machine, it either had to be corrected on the machine or mentally disregarded. Eelt was the first inventor to incorporate into an adding machine the mechanical means for the prevention of this error.

The error in question may be illustrated by the following example:

For instance, to subtract 6 from 9, we first find the complement of the subtrahend, 6, by subtracting 6 from 10, which gives us 4; we then add 4 to the minuend, 9, which gives us 13, or the correct result, 3. plus an error of 1 on the left. In performing this example upon •adding machines of the Felt type, we would first strike the 9 key of the units series of keys, which would bring the figure 9 on the [332]*332units numeral-wheel to the sight or reading line of the machine; we would then strike the 4 key of the same series, which would bring 13 to the reading line, the ,3 being on the units numeral-wheel and the 1 on the tens numeral-wheel. By the operation of the Felt subtraction cut-off, this error of 1 on the tens numeral-wheel will be prevented, and only the true remainder, 3, will appear on the reading line' of the machine.

Thé cause of this error is manifest when we look into the nature of the operation of additive subtraction. We have, as illustrated in the foregoing example, performed subtraction by adding the complement of the subtrahend, 6, which is 10 — 6, or 4, to the minuend, 9, making the result 13, or 10 in excess of the true remainder. In this operation we have committed the obvious error of increasing the minuend by 4 instead of decreasing it by 6, and the measure of this error is plainly the sum of 6 and 4, or 10. In other words, the measure of the error is the power of ten from which the subtrahend is subtracted to produce the complement. It follows that the error in the remainder in any given example of additive subtraction is 10, or 100, or 1000, or 10,000, according to the power of 10 from which the subtrahend may be subtracted, and, since naughts count for nothing, that this error will- be represented by-1 on the left of the true remainder.

In referring to this feature of the Felt machine, the patent says:

“Another object of my invention is to prevent the carrying of tens from any column to the next higher whenever a subtraction is made by means of adding a complementary number, as hereinafter explained.”

We have here the underlying conception of the Felt subtraction cut-off, which was so to organize his machine as to prevent the opera-’ tion of the carrying, mechanism whenever it is necessary to prevent it in performing additive subtraction. That the error in' question is caused by the carrying mechanism, and may be prevented by preventing the operation of a particular carry, clearly appears from the following considerations:

As the tens are carried mentally in arithmetical addition, so an adding machine in its normal operation carries the tens mechanically by carrying 1 to the numeral wheel of the next higher order, as from the units wheel to the tens wheel, and from the tens wheel to the hundreds wheel, and so on throughout the series of wheels. Now, it is apparent that this error of 1 on the left of the true remainder is due in each example to the particular carry of 1 either from the units column to the tens column, or from the tens column to the hundreds column, or from the hundreds column to the thousands column, dependent in each case upon the power of 10 from which the complement is subtracted.

For instance, in the example already given of subtracting 6 from 9 by additive subtraction, the error of 1 in the tens column was caused by the carrying of 1 from the units column; and, if this carry had not taken-place, the result would have been the true remainder, 3, on the reading line of the machine. So, if the example had been to subtract 66 from 99, the error of 1 in the hundreds column would have been* caused by the carrying of 1 from thé tens column to the hundreds [333]*333column. So, if the example had been to subtract G66 from 999, the error of 1 in the thousands column would have been caused by the carry of 1 from the hundreds column to the thousands column.

The patent then proceeds to point out the way this error had to be corrected in prior adding machines, including the machine covered by an earlier Felt patent. This correction was made on prior machines by striking once all the 9 keys to the left of the true remainder, and striking the last 9 key ten additional times. This operation was known as .“running off the nines.” For instance, in the example already given, the subtraction of 6 from 9, in which the remainder on the reading line is 13, the error of 1 in the tens column was corrected by first striking the 9 key of that column, which brought a 0 to the reading line of that wheel, but which at the same time, through the carrying mechanism, caused a 1 to appear on the hundreds wheel. This 1 must be got rid of in the same manner by striking the 9 key of that column, and so on through the entire series of wheels to the left. This would still leave the 1 on the extreme left-hand wheel, which lias no series of keys attached to it. To cancel this .1. requires ten depressions of the 9 key of the last or adjoining series.

The patent then proceeds to describe the means employed for preventing this error, the mode of operating these means, and the result accomplished:

To save the carrying of the 1 above mentioned and afterwards adding the 9’s as above described, the following device is provided: There is a series of levers, one for each carrying-pawl. Each lever is provided with a finger-piece, which extends upward within convenient reach of the operator. Each lever is also provided with an arm adapted to engage with the under side of its carrying-pawl and hold the carrying-pawl from engagement with its numeral-wheel. When the operator makes a subtraction, the lever at the left of the highest column or series of keys in which a key is struck in the subtrahend is pushed backward, which raises the carrying-pawl which carries from this highest series or column of keys to the next column to the left. By this construction and operation the carrying-pawl is held out of operation, so that the complementary number is added and the tens of the highest series are not carried, thereby making a proper subtraction.

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Cite This Page — Counsel Stack

Bluebook (online)
145 F. 331, 76 C.C.A. 205, 1906 U.S. App. LEXIS 3980, Counsel Stack Legal Research, https://law.counselstack.com/opinion/comptograph-co-v-mechanical-accountant-co-ca1-1906.