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. 1890 Excerpt: ...the time when C will happen; then D happened 7 years ago. Let the student give other illustrations. Imagine that after going 2 steps right and then 7 left, I find myself 10 steps to the left of the origin. Where was I? I retrace my steps, going from 10 left, 7 steps right, and then 2 left, and I find myself 5 steps ...
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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. 1890 Excerpt: ...the time when C will happen; then D happened 7 years ago. Let the student give other illustrations. Imagine that after going 2 steps right and then 7 left, I find myself 10 steps to the left of the origin. Where was I? I retrace my steps, going from 10 left, 7 steps right, and then 2 left, and I find myself 5 steps left from the origin. Or again, I notice that I have come upon the whole 5 steps left from the starting point, and retracing these, I get as before a point 5 steps left from the origin. In symbols: -10-(+ 2-7) =-10-2 + 7 =-5, and--10--(+ 2-7) =--10--(-5) =--10 + 5 =--5 an illustration of association and sign-reversal. Of the latter, here are others: less of westing is more of easting; less of spent is more of saved; to lighten one's burdens is to add to one's strength; taking away cold is making warm. But there are problems where negative numbers are nonsense. A man cannot live a negative number of years. A pond cannot be--4 feet deep. A table cannot have--3 legs. No one is--6 feet tall. 82. If I twice repeat three steps to the right from the origin, I go 6 steps to the right. If I twice repeat 3 steps to the left, I go 6 steps to the left. If I twice retrace 3 steps to the right, I go 6 steps left. If I twice retrace 3 steps to the left, I go 6 steps right. In symbols: 3 X 2 = 6; (-3) X2 =-6; 3X-2 =-6;(-3)X-2=6. Again, I have a lever. Distances to the right on the lever are positive; to the left, negative. A pull up on the lever is positive; a pull down, negative. The unit pull is that of one pound one inch from the fulcrum, and is positive if it tends to lift the right-hand end of the lever. Plainly, a pull up of 3 lbs., 2 in. to the right of the fulcrum is a 6-unit positive pull; a pull down of 3 lbs., 2 in. to the left of the fulcrum, is a 6-u..
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Add this copy of An Introduction to the Logic of Algebra. With to cart. $54.95, good condition, Sold by Bonita rated 4.0 out of 5 stars, ships from Newport Coast, CA, UNITED STATES, published 2016 by Palala Press.
