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Book Synopsis A Rudimentary Treatise on Analytical Geometry and Conic Sections by James Hann by : James Hann
Download or read book A Rudimentary Treatise on Analytical Geometry and Conic Sections by James Hann written by James Hann and published by . This book was released on 1850 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis A Rudimentary Treatise on Analytical Geometry and Conic Sections by : James Hann
Download or read book A Rudimentary Treatise on Analytical Geometry and Conic Sections written by James Hann and published by . This book was released on 1850 with total page 146 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis A Rudimentary Treatise on Analytical Geometry and Conic Sections ... by : James Hann
Download or read book A Rudimentary Treatise on Analytical Geometry and Conic Sections ... written by James Hann and published by . This book was released on 1871 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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. 1871 edition. Excerpt: ...nearer and nearer to the curve (2) the further it is prolonged from the origin, or centre of the curve; and that although the interval between the straight line and the curve (in the direction of?/) becomes eventually less than any finite interval that can be assigned--however small this may be, yet it can never wholly disappear; that is, the straight line can never actually meet the curve. Hence, if through the origin o two straight lines Kl, Mn, be drawn, of which the equations are b, h y =-x, and y =---x, a a that is, such that tan Kob =-, and tan Mob =---... (3), a a v' the latter angle being the supplement of the former, these two lines will continually approach nearer and nearer to tho curve the further they are prolonged, and yet can never meet the curve within any finite distance from o, in whichever direction from o that distance be measured; that is, whether the supposed point of meeting be (x, y), or (--x, y), or (as, --y), or (--x, --y). These two lines are called the asymptotes of the hyperbola; it is plain that they embrace both branches of the curve, and embrace them so closely that they form the boundaries of separation between all the transverse diameters of the curve, and all the conjugates to these: --every straight line drawn from o within the angle Kon, or within the angle Mol, meets the curve; whilst every straight line drawn from o, without both these angles, that is within the angle Mok, or Lon, proceeds onwards in both directions free of the curve. All these inferences are fully justified by the equations (1) and (2) at p. 116: we have sufficiently seen that the straight line or lines (1) can meet the curve (2) only at a point infinitely remote, or for which x = oo; but if (1) were replaced by the line y = mix, in...
Book Synopsis A Rudimentary Treatise on Analytical Geometry and Conic Sections by : James Hann
Download or read book A Rudimentary Treatise on Analytical Geometry and Conic Sections written by James Hann and published by Rarebooksclub.com. This book was released on 2013-09 with total page 64 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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. 1871 edition. Excerpt: ...nearer and nearer to the curve (2) the further it is prolonged from the origin, or centre of the curve; and that although the interval between the straight line and the curve (in the direction of?/) becomes eventually less than any finite interval that can be assigned--however small this may be, yet it can never wholly disappear; that is, the straight line can never actually meet the curve. Hence, if through the origin o two straight lines Kl, Mn, be drawn, of which the equations are b, h y =-x, and y =---x, a a that is, such that tan Kob =-, and tan Mob =---... (3), a a v' the latter angle being the supplement of the former, these two lines will continually approach nearer and nearer to tho curve the further they are prolonged, and yet can never meet the curve within any finite distance from o, in whichever direction from o that distance be measured; that is, whether the supposed point of meeting be (x, y), or (--x, y), or (as, --y), or (--x, --y). These two lines are called the asymptotes of the hyperbola; it is plain that they embrace both branches of the curve, and embrace them so closely that they form the boundaries of separation between all the transverse diameters of the curve, and all the conjugates to these: --every straight line drawn from o within the angle Kon, or within the angle Mol, meets the curve; whilst every straight line drawn from o, without both these angles, that is within the angle Mok, or Lon, proceeds onwards in both directions free of the curve. All these inferences are fully justified by the equations (1) and (2) at p. 116: we have sufficiently seen that the straight line or lines (1) can meet the curve (2) only at a point infinitely remote, or for which x = oo; but if (1) were replaced by the line y = mix, in...
This is a reproduction of a book published before 1923. This book may have occasional imperfections such as missing or blurred pages, poor pictures, errant marks, etc. that were either part of the original artifact, or were introduced by the scanning process. We believe this work is culturally important, and despite the imperfections, have elected to bring it back into print as part of our continuing commitment to the preservation of printed works worldwide. We appreciate your understanding of the imperfections in the preservation process, and hope you enjoy this valuable book. ++++ The below data was compiled from various identification fields in the bibliographic record of this title. This data is provided as an additional tool in helping to ensure edition identification: ++++ A Rudimentary Treatise On Analytical Geometry And Conic Sections; Weale's Rudimentary Treatises; Weale's Scientific And Technical Series; Weale's Rudimentary Scientific And Educational Series; Weale's Series James Hann John Weale, 1871 Mathematics; Geometry; General; Conic sections; Geometry, Analytic; Mathematics / Geometry / Analytic; Mathematics / Geometry / General
Book Synopsis A Rudimentary Treatise on Analytical Geometry and Conic Sections - Primary Source Edition by : James Hann
Download or read book A Rudimentary Treatise on Analytical Geometry and Conic Sections - Primary Source Edition written by James Hann and published by Nabu Press. This book was released on 2013-10 with total page 142 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a reproduction of a book published before 1923. This book may have occasional imperfections such as missing or blurred pages, poor pictures, errant marks, etc. that were either part of the original artifact, or were introduced by the scanning process. We believe this work is culturally important, and despite the imperfections, have elected to bring it back into print as part of our continuing commitment to the preservation of printed works worldwide. We appreciate your understanding of the imperfections in the preservation process, and hope you enjoy this valuable book. ++++ The below data was compiled from various identification fields in the bibliographic record of this title. This data is provided as an additional tool in helping to ensure edition identification: ++++ A Rudimentary Treatise On Analytical Geometry And Conic Sections; Weale's Rudimentary Treatises; Weale's Scientific And Technical Series; Weale's Rudimentary Scientific And Educational Series; Weale's Series James Hann John Weale, 1871 Mathematics; Geometry; General; Conic sections; Geometry, Analytic; Mathematics / Geometry / Analytic; Mathematics / Geometry / General
Book Synopsis A Rudimentary Treatis on Analytical Geometry by : James Hann
Download or read book A Rudimentary Treatis on Analytical Geometry written by James Hann and published by BoD – Books on Demand. This book was released on 2022-11-05 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt: Reprint of the original, first published in 1871.
Book Synopsis An Elementary Treatise on Analytical Geometry by : W. J. Johnston
Download or read book An Elementary Treatise on Analytical Geometry written by W. J. Johnston and published by . This book was released on 1893 with total page 462 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis An Elementary Treatise on Analytical Geometry by : Jean-Baptiste Biot
Download or read book An Elementary Treatise on Analytical Geometry written by Jean-Baptiste Biot and published by . This book was released on 1840 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis An Elementary Treatise on Analytical Geometry by : Jean-Baptiste Biot
Download or read book An Elementary Treatise on Analytical Geometry written by Jean-Baptiste Biot and published by . This book was released on 1874 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Rudimentary Treatise on Arithmetic ... by : John Radford Young
Download or read book Rudimentary Treatise on Arithmetic ... written by John Radford Young and published by . This book was released on 1864 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt: