A Treatise On the Analytical Geometry of the Point,line,circle, and Conic Sections

JOHN CASEY, LL/D

Published by Ulan Press
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B00A9NFL20 Used good or better, we ship best copy available! May have signs of use, may be ex library copy. Book Only. Expedited shipping is 2-6 business days after shipment, standard is 4-14 business days after shipment. Used items do not include access codes, cd's or other accessories, regardless of what is stated in item title. If you need to guarantee that these items are included, please purchase a brand new copy. Bookseller Inventory #

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Title: A Treatise On the Analytical Geometry of the...
Publisher: Ulan Press


Book Condition: Good

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LL/D John Casey
Published by General Books, United Kingdom (2013)
ISBN 10: 1236987454 ISBN 13: 9781236987457
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Book Description General Books, United Kingdom, 2013. Paperback. Book Condition: New. 246 x 189 mm. Language: English . Brand New Book ***** Print on Demand *****. 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. 1885 edition. Excerpt: .side of a fixed line NN , and through S any line be drawn meeting the circle in P, and MN in R; then if RO be joined, meeting a parallel to OP, drawn through S in, the locus of j is an ellipse.--(boscovich.) 7. Prove that the radius of the Boscovich Circle, divided by its distance from the fixed lkie, is equal to the eccentricity. 8. CB is a fixed diameter of a given circle, A a fixed point in CB produced. Through A draw any line meeting the circle in D and E. Join CD and produce to F, making CF= AE the locus of F is the ellipse 120. To express lhe co-ordinales Q a poinl P on an ellzpse ABA B zn lerfns ofa single oarlahle. Let AA , RB be the transverse and the conjugate axes of the ellipse upon AA as diame-. ter; describe the circle AP A. Let P be any point of the ellipse, MP its ordinate; produce MP to meet the circle AP A in P. join 0P , and denote the angle N M MOP by di; then, since OM: oe, OP = a, we have x = a cos gb. This value, substituted in the equation (361) of the ellipse, gives y = 6 sin 15: therefore the co-ordinates of P are a cos f, 6 sin gb. DEE.-The czrcle descrzhed on AA as dzamefer zs called the AUXILIARY czrcle of 1 he ellzpse, and 1 he angle 15 ihe ECCENTRIC angle. The term eccentric has been taken from Astronomy; the angle rp in that science being called the eccentric anomaly. Hence we have the following theorem: -The locus of a point P which divides an ordinate of a semicircle in a given ratio is an ellipse; or again, D from all lhe polnfs en ihe czrcunzjhrence of a circle in one plane perpendzculars 6e lei fall on anolher plane, inclined lo lhe /brmer al any angle, lhe locus q lhezh feel zs an ellzpse (called THE. Bookseller Inventory # APC9781236987457

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2.

LL/D John Casey
Published by General Books, United Kingdom (2013)
ISBN 10: 1236987454 ISBN 13: 9781236987457
New Paperback Quantity Available: 10
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Book Description General Books, United Kingdom, 2013. Paperback. Book Condition: New. 246 x 189 mm. Language: English . Brand New Book ***** Print on Demand *****.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. 1885 edition. Excerpt: .side of a fixed line NN , and through S any line be drawn meeting the circle in P, and MN in R; then if RO be joined, meeting a parallel to OP, drawn through S in, the locus of j is an ellipse.--(boscovich.) 7. Prove that the radius of the Boscovich Circle, divided by its distance from the fixed lkie, is equal to the eccentricity. 8. CB is a fixed diameter of a given circle, A a fixed point in CB produced. Through A draw any line meeting the circle in D and E. Join CD and produce to F, making CF= AE the locus of F is the ellipse 120. To express lhe co-ordinales Q a poinl P on an ellzpse ABA B zn lerfns ofa single oarlahle. Let AA , RB be the transverse and the conjugate axes of the ellipse upon AA as diame-. ter; describe the circle AP A. Let P be any point of the ellipse, MP its ordinate; produce MP to meet the circle AP A in P. join 0P , and denote the angle N M MOP by di; then, since OM: oe, OP = a, we have x = a cos gb. This value, substituted in the equation (361) of the ellipse, gives y = 6 sin 15: therefore the co-ordinates of P are a cos f, 6 sin gb. DEE.-The czrcle descrzhed on AA as dzamefer zs called the AUXILIARY czrcle of 1 he ellzpse, and 1 he angle 15 ihe ECCENTRIC angle. The term eccentric has been taken from Astronomy; the angle rp in that science being called the eccentric anomaly. Hence we have the following theorem: -The locus of a point P which divides an ordinate of a semicircle in a given ratio is an ellipse; or again, D from all lhe polnfs en ihe czrcunzjhrence of a circle in one plane perpendzculars 6e lei fall on anolher plane, inclined lo lhe /brmer al any angle, lhe locus q lhezh feel zs an ellzpse (called THE. Bookseller Inventory # APC9781236987457

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John Casey, LL/D
Published by Rarebooksclub.com (2009)
ISBN 10: 1236987454 ISBN 13: 9781236987457
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Book Description Rarebooksclub.com, 2009. Paperback. Book Condition: New. Dispatched, from the UK, within 48 hours of ordering. This book is in Brand New condition. Bookseller Inventory # CHL1729350

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Book Description Palala Press, 2016. HRD. Book Condition: New. New Book. Delivered from our US warehouse in 10 to 14 business days. THIS BOOK IS PRINTED ON DEMAND.Established seller since 2000. Bookseller Inventory # IP-9781358975240

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Book Description 2016. HRD. Book Condition: New. New Book.Shipped from US within 10 to 14 business days.THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000. Bookseller Inventory # IP-9781358975240

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Book Description Palala Press, United States, 2016. Hardback. Book Condition: New. 234 x 156 mm. Language: N/A. Brand New Book ***** Print on Demand *****. Bookseller Inventory # APC9781358975240

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LL/D John Casey
Published by Palala Press, United States (2016)
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Book Description Palala Press, United States, 2016. Hardback. Book Condition: New. 234 x 156 mm. Language: N/A. Brand New Book ***** Print on Demand *****. Bookseller Inventory # APC9781358975240

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Book Description Book on Demand, Miami, 2016. Perfect binding. Book Condition: NEW. Dust Jacket Condition: NEW. 5.8" x 8.3". In English language. This book, "A Treatise On the Analytical Geometry of the Point,line,circle, and Conic Sections", by LL/D JOHN CASEY, is a replication. It has been restored by human beings, page by page, so that you may enjoy it in a form as close to the original as possible. This item is printed on demand. Thank you for supporting classic literature. SOFT COVER. Bookseller Inventory # 1722024

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