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. 1912 Excerpt: ...R" are the corresponding points on a coaxal ellipsoid, OP," OQ," OR" are conjugate diameters. Ex. 4. An umbilic on an ellipsoid corresponds to an umbilic on any confocal ellipsoid. Ex. 5. P and Q are any points on a generator of a hyperboloid and P' and Q' are the corresponding points on a second hyperboloid. Prove ...
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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. 1912 Excerpt: ...R" are the corresponding points on a coaxal ellipsoid, OP," OQ," OR" are conjugate diameters. Ex. 4. An umbilic on an ellipsoid corresponds to an umbilic on any confocal ellipsoid. Ex. 5. P and Q are any points on a generator of a hyperboloid and P' and Q' are the corresponding points on a second hyperboloid. Prove that P' and Q' lie on a generator, and that PQ = P'Q'. THE FOCI OF CONICOIDS. 129. '(I) The locus of a point such that the square on its distance from a given point is in a constant ratio to the rectangle contained by its distances from two fixed planes is a conicoid. The equation to the locus is of the form (x-a_y+(y-Pf+z-yf--k2(lx + my + nz +p)(l'x + m'y + n'z +p'), which represents a conicoid. 1(II) The locus of a point whose distance from a fixed point is in a constant ratio to its distance, measured parallel to a given plane, from a given line, is a conicoid. 1 That a conicoid could be generated by the method (I) was first pointed out by Salmon. The method (II) is due to MacCullagh. Choose rectangular axes so that the given plane is the xy-plane and the point of intersection of the given line and given plane is the origin. Let the fixed point be (x, 8, y) and the fixed line have equations y =--=--. The '7 I m n plane through ( rj, f) parallel to the ajy-plane meets the given line in the point, j, and therefore the distance of ( rj, ) from the line measured parallel to the given plane is given by Hence the equation to the locus is which represents a conicoid. In (I) the equation to the locus is of the form j--uv = 0, and in (II) of the form X0--(u2+v2) = 0, where and u = (), v = 0 represent planes. In either case, if S = 0 is the equation to the locus, the equation S--X0 = O represents a pair of pla...
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Add this copy of An Elementary Treatise on Coordinate Geometry of Three to cart. $19.42, good condition, Sold by Anybook rated 5.0 out of 5 stars, ships from Lincoln, UNITED KINGDOM, published 1926 by Macmillan.
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This is an ex-library book and may have the usual library/used-book markings inside. This book has hardback covers. Clean from markings. In good all round condition. No dust jacket. Re-bound by library. Please note the Image in this listing is a stock photo and may not match the covers of the actual item, 700grams, ISBN:
Add this copy of An Elementary Treatise on Coordinate Geometry of Three to cart. $20.80, good condition, Sold by Anybook rated 5.0 out of 5 stars, ships from Lincoln, UNITED KINGDOM, published 1944 by Macmillan.
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This is an ex-library book and may have the usual library/used-book markings inside. This book has hardback covers. Clean from markings. In good all round condition. No dust jacket. Please note the Image in this listing is a stock photo and may not match the covers of the actual item, 750grams, ISBN:
Add this copy of An Elementary Treatise on Coordinate Geometry of Three to cart. $29.06, poor condition, Sold by Anybook rated 5.0 out of 5 stars, ships from Lincoln, UNITED KINGDOM, published 1912 by Macmillan.
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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, 850grams, ISBN:
Add this copy of An Elementary Treatise on Coordinate Geometry of Three to cart. $29.66, new condition, Sold by Books2anywhere rated 5.0 out of 5 stars, ships from Fairford, GLOUCESTERSHIRE, UNITED KINGDOM, published 2022 by LEGARE STREET PR.
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PLEASE NOTE, WE DO NOT SHIP TO DENMARK. New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. Please note we cannot offer an expedited shipping service from the UK.
Add this copy of An Elementary Treatise on Coordinate Geometry of Three to cart. $31.29, new condition, Sold by Ingram Customer Returns Center rated 5.0 out of 5 stars, ships from NV, USA, published 2022 by Legare Street Press.
Add this copy of An Elementary Treatise on Coordinate Geometry of Three to cart. $36.31, poor condition, Sold by Anybook rated 5.0 out of 5 stars, ships from Lincoln, UNITED KINGDOM, published 1931 by Macmillan.
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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, 800grams, ISBN:
Add this copy of An Elementary Treatise on Coordinate Geometry of Three to cart. $39.48, good condition, Sold by Anybook rated 5.0 out of 5 stars, ships from Lincoln, UNITED KINGDOM, published 1949 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 good all round condition. No dust jacket. Please note the Image in this listing is a stock photo and may not match the covers of the actual item, 700grams, ISBN:
Add this copy of An Elementary Treatise on Coordinate Geometry of Three to cart. $40.87, new condition, Sold by Books2anywhere rated 5.0 out of 5 stars, ships from Fairford, GLOUCESTERSHIRE, UNITED KINGDOM, published 2022 by LEGARE STREET PR.
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PLEASE NOTE, WE DO NOT SHIP TO DENMARK. New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. Please note we cannot offer an expedited shipping service from the UK.
Add this copy of An Elementary Treatise on Coordinate Geometry of Three to cart. $41.00, good condition, Sold by Chapter 1 Books rated 5.0 out of 5 stars, ships from Johannesburg, SOUTH AFRICA, published 1931 by Macmillan.
Add this copy of An Elementary Treatise on Coordinate Geometry of Three to cart. $42.45, new condition, Sold by Ingram Customer Returns Center rated 5.0 out of 5 stars, ships from NV, USA, published 2022 by Legare Street Press.
