This historic book may have numerous typos and missing text. Purchasers can usually download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1902 edition. Excerpt: ...an indefinite number of half-per1od zones. We must now determine the area of a half-period zone. Let AB (Fig. IS3) represent a section of the plane ABCD (Fig. 152) by a plane passing through the points O and P. Then the area of the f1rst halfperiod zone is equal to x (PMi)2. Also--(PM, )2 = (OMi)2-(OP ...
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This historic book may have numerous typos and missing text. Purchasers can usually download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1902 edition. Excerpt: ...an indefinite number of half-per1od zones. We must now determine the area of a half-period zone. Let AB (Fig. IS3) represent a section of the plane ABCD (Fig. 152) by a plane passing through the points O and P. Then the area of the f1rst halfperiod zone is equal to x (PMi)2. Also--(PM, )2 = (OMi)2-(OP)2 = (b +-J-P = 2 + A +-S (c) Now when A, the wave-length of the undulations, is very small, A2 will be negligible in comparison with b. In that case--' (PMi)2 = b, and the area of the first half-period zone is equal to trbx.. u neglecting A2 in comparison with 2b. first and second half-period zones are equal to 2irb, or to twice the area of the first zone, and the area of the second half-period zone is equal to that of the first, or to /, . Proceeding in a similar manner, we find that the combined areas of the first three half-period zones are equal to x (PM, )5 = 3ir5A, and since the combined areas of the first and second zones are equal to 2irbk, it follows that the area of the third half period lone is equal to iriK, or to that of the first sone. Similarly, it is easily proved that when X is small, the areas of all of the half-period zones are equal. It may be noticed that the radii of the circles bounding the various tones are respectively equal to sf2i, x/jb, ...-and are thus proportional to the square roots of the natural numbers. " The displacement D at the point O will be the resultant of the displacements due to the wavelets arriving there from various points in the plane A BCD. Let r be the displacement at 0 due to the combined action of the wavelets from points in the first half-period zone. The phases of these wavelets will vary between o and w; if we knew the amplitude and phase of each wavelet, we could find their.
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Add this copy of Light for Students to cart. $9.45, fair condition, Sold by Anybook rated 5.0 out of 5 stars, ships from Lincoln, UNITED KINGDOM, published 1902 by Macmillan.
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Seller's Description:
This is an ex-library book and may have the usual library/used-book markings inside. This book has hardback covers. In fair condition, suitable as a study copy. Please note the Image in this listing is a stock photo and may not match the covers of the actual item, 600grams, ISBN:
Add this copy of Light for Students to cart. $15.49, poor condition, Sold by Anybook rated 5.0 out of 5 stars, ships from Lincoln, UNITED KINGDOM, published 1925 by Macmillan.
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Seller's Description:
This is an ex-library book and may have the usual library/used-book markings inside. This book has hardback covers. In poor condition, suitable as a reading copy. No dust jacket. Please note the Image in this listing is a stock photo and may not match the covers of the actual item, 600grams, ISBN:
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Seller's Description:
Good. 1921. Hardcover. Good copy with light shelf wear. Cover is heavily sunned and stained. Light nicks to spine. Previous owners name on FFEP. Light scoring, remains good.....We ship daily from our Bookshop.
Add this copy of Light for Students to cart. $57.00, very good condition, Sold by Between the Covers-Rare Books rated 4.0 out of 5 stars, ships from Gloucester City, NJ, UNITED STATES, published 1907 by Macmillan and Co., Limited.
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Seller's Description:
Near Fine. Fourth printing, with corrections. Small octavo. 579, [4] ads pp. Illustrated. Light blue cloth stamped in black. Owner's neat stamp and signature, lightly worn, else near fine. Science textbook.
Add this copy of Light for Students to cart. $14.95, good condition, Sold by Becker's Books rated 3.0 out of 5 stars, ships from Houston, TX, UNITED STATES, published 1921 by MacMillan Company.
