Items related to A treatise on refrigerating and ice-making machinery...
Synopsis
This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1899 Excerpt: ...greater than the sum of the negative terms. When the terms have the same sign, the numerical sum is that which would be obtained if the signs were disregarded. Thus, in the first case above, the signs of 6 and 3 are the same, therefore the sum is numerically 6 + 3 = 9; likewise in the second, the signs of the 3 and the 5 are alike and the sum is numerically 3 + 5 = 8. When, however, one term is positive and the other is negative, the sum is the numerical difference between the terms. Thus, in the third case above, the signs of 6 and 4 are different, and the sum, 2, is the numerical difference; likewise in the fourth case, the 6 and the 10 have different signs, and the sum, 4, is the numerical difference. 470. To add like terms containing letters, we simply add the coefficients, having regard for the proper signs, and annex the literal part. Thus, the sum of 6ax'y and 'Sax'y is Sax'y; the sum of 3ab and--Wab is--8ab; and the sum of 'Jw'n, dm'n,--8w'«, and 2;«'« is e»/'«. ADDITION OF MONOMIALS. 471. Like Quantities.--To add like quantities having the same sign: Rule I.---Add the coefficients, give the sum the common sign, and annex the common literal part. To add like quantities having different signs: Rule II.--Add the positive and the negative coefficients separately, and from the greater sum subtract the less. Give the remainder the sign of the greater sum, and annex the common literal part. Example.--Find the sum of--2abxy,--abxy,--Zabxy. and--Gabxy. Solution.--The sum of the coefficients is 12 (remember that the coefficient of--abxy is 1), and the common sign is--. The common literal part, abxy, annexed to these gives as the result--2abxy. (Rule I.) Example.--Combine xy,--2xy, 8.ry2, and--Axy'2. Solution.--The sum of the coeffici...
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- PublisherRareBooksClub.com
- Publication date2012
- ISBN 10 1130860523
- ISBN 13 9781130860528
- BindingPaperback
- Number of pages90
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