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. 1908 Excerpt: ...will be complex, that is of the form a + ib, where i = v-1 and a, b are real. The points, straight lines or planes defined by such coordinates have no visual existence; nevertheless all analytical theorems remain true of them and therefore all geometrical operations, which are interpretable by means of analysis, will ...
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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. 1908 Excerpt: ...will be complex, that is of the form a + ib, where i = v-1 and a, b are real. The points, straight lines or planes defined by such coordinates have no visual existence; nevertheless all analytical theorems remain true of them and therefore all geometrical operations, which are interpretable by means of analysis, will continue to hold for such imaginary elements. And this is true not only of points, straight lines and planes, but of all curves and surfaces of higher degree. Thus the locus a? + if =-ai is not a real circle: nevertheless it possesses, analytically, all the properties of a circle and, if we admit imaginary elements, we may perform with it the operations which we can perform with an ordinary circle. We will therefore, from this point onwards, assume the existence of such imaginary elements, so that if a construction which leads to certain elements in one case fails to lead geometrically to such elements in another case, we shall say that those elements are still there, but are imaginary. Thus we know that two projective collinear ranges will generally have two self-corresponding points. This shows that the problem of determining the self-corresponding points of two such ranges is analytically capable of two solutions. Hence it will have two analytical solutions in all cases. We shall then say that two such ranges have always two self-corresponding points, but that these may be real or imaginary. In the same way a straight line will be conceived as always cutting a conic at two points, real or imaginary; and from a point two tangents, real or imaginary, can always be drawn to a conic. Again we know that, in general, two distinct conics will intersect in four points. The problem of finding the intersections of two conics has therefore four analyti...
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Add this copy of An Introduction to Projective Geometry to cart. $22.52, poor condition, Sold by Anybook rated 5.0 out of 5 stars, ships from Lincoln, UNITED KINGDOM, published 1935 by Edward Arnold.
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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, 700grams, ISBN:
Add this copy of An Introduction to Projective Geometry to cart. $43.00, very good condition, Sold by Munster & Company rated 5.0 out of 5 stars, ships from Corvallis, OR, UNITED STATES, published 1935 by Edward Arnold & Co.
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Seller's Description:
Very Good. Edward Arnold & Co., 1935. Fourth Edition; Cover very lightly rubbed/soiled, corners very barely bumped, spine ends lightly bumped, spine very lightly sunned; top edge lightly soiled, very lightly foxed, fore and bottom edges very lightly soiled; pastedowns/endpapers very barely soiled; previous owner's inscription in black and blue ink at top on front pastedown; very small previous owner's stamp in green at bottom near hinge on front pastedown; binding tight; interior intact and very clean except where noted; a nice copy. hardcover. Very Good.
Add this copy of An Introduction to Projective Geometry to cart. $72.00, very good condition, Sold by Munster & Company rated 5.0 out of 5 stars, ships from Corvallis, OR, UNITED STATES, published 1935 by Edward Arnold & Co.
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Seller's Description:
Very Good in Very Good jacket. London: Edward Arnold & Co., 1935. xviii, 407 pp. 22.5 x 15 cm. Maroon cloth covered boards with gilt titling to spine, in dustjacket with red titling. Toning and soil to jacket's spine, with some light chipping and wear to spine ends. Some uneven toning to rear panel of jacket, with mild to moderate soil to front and rear panels. Transparent tape on all corners and inside flaps of jacket, which is covered in a removable plastic cover. Some rubbing and light bumping to spine ends of book. Light bumping to corners of boards. Moderate foxing to edges of text block. Previous owner's name at top corner of front free endpaper. Taped to the half-title page is a slip stating "With the Author's and" "With Messrs. Edward Arnold & Co. 's Compliments", the first line being typed and rest being printed by the publisher. Interior otherwise clean and unmarked. Binding sound. An excellent copy in dustjacket. Hard Cover. Very Good/Very Good.
Add this copy of An Introduction to Projective Geometry to cart. $82.00, good condition, Sold by Argosy Book Store rated 5.0 out of 5 stars, ships from New York, NY, UNITED STATES, published 1947 by Edward Arnold.
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Seller's Description:
Near fine in very good jacket. 407 pages. 8vo, maroon cloth, d.w. London: Edward Arnold & Co., (1947). Second printing of the 4th edition. Some very light pencil underlining, else a near fine copy in a very good dust wrapper.
