Proceedings of the Edinburgh Mathematical Society, Volumes 11-12

Edinburgh Mathematical Society, .

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B00ALFJEHE 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: Proceedings of the Edinburgh Mathematical ...
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Edinburgh Mathematical Society
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Book Description 2016. Softcover. Book Condition: New. 349 Lang:- English, Vol:- Volume '12-11, Pages 349, Print on Demand. Reprinted in 2016 with the help of original edition published long back[1893]. This book is Printed in black & white, sewing binding for longer life with Matt laminated multi-Colour Soft Cover {HARDCOVER EDITION IS ALSO AVAILABLE}, Printed on high quality Paper, re-sized as per Current standards, professionally processed without changing its contents. As these are old books, there may be some pages which are blur or missing or black spots. We expect that you will understand our compulsion in these books. We found this book important for the readers who want to know more about our old treasure so we brought it back to the shelves. (Customisation is possible). Hope you will like it and give your comments and suggestions. Volume '12-11 Language: English. Bookseller Inventory # PB1111002311199

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Book Description 2016. Hardcover. Book Condition: New. 349 Lang:- English, Vol:- Volume '12-11, Pages 349, Print on Demand. Reprinted in 2016 with the help of original edition published long back[1893]. This book is in black & white, Hardcover, sewing binding for longer life with Matt laminated multi-Colour Dust Cover, Printed on high quality Paper, re-sized as per Current standards, professionally processed without changing its contents. As these are old books, there may be some pages which are blur or missing or black spots. We expect that you will understand our compulsion in these books. We found this book important for the readers who want to know more about our old treasure so we brought it back to the shelves. (Customisation is possible). Hope you will like it and give your comments and suggestions. Volume '12-11 Language: English. Bookseller Inventory # 1111002311199

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Edinburgh Mathematical Society
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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-9781357358556

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Book Description Palala Press, 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-9781357358556

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Book Description Rarebooksclub.com, United States, 2012. 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 download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1893 Excerpt: . are attained, it is necessary to consider the laws of multiplication of quaternions: and, in doing so, it is not necessary to consider the stretching part (or Tensor) of the quaternion--for that part is a mere number and so obeys all the laws of ordinary algebra. We may represent quaternions by plane angles or by arcs of great circles on a unit sphere. Thus, if PQR be a spherical triangle whose sides p, q, r are portions of great circles on the unit sphere, the quantities p, q, r may represent the corresponding quaternions. Let a be the vector from the origin to the point Q. Then pa is the vector to the point R, and q-pa is the vector to P. But this is also ra, if r is measured from Q to P while p and q are measured from Q to R, and from R to P, respectively. And we are at liberty to define r = qp, so that q-pa = qpa. This makes the associative law hold when a, pa, and qpa are vectors--a fact which is pointed out by Hamilton, Lectures, 310, and by Tait, Elements, 54. It defines quaternion multiplication. Various proofs that the associative law holds in the multiplication of quaternions have been given. Of these, Hamilton s proof (Lectures, 296; Elements, 270; and Tait s Elements, 57-60) by spherical arcs and elementary properties of spherical conics involves, by definition, the particular assumption of association just alluded to. His alternative proof, by more elementary geometry (Lectures, 298-301), makes use of the same definition; and the same remark applies to the proof given in 358, 359 of the Lectures. On the other hand, the geometrical proof given in Hamilton s Elements, 266, 267, 272, is based upon the definition of the reciprocal of a quaternion, which makes the produ. Bookseller Inventory # APC9781130755213

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Book Description RareBooksClub. Paperback. Book Condition: New. This item is printed on demand. Paperback. 74 pages. Dimensions: 9.7in. x 7.4in. x 0.1in.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. 1893 Excerpt: . . . are attained, it is necessary to consider the laws of multiplication of quaternions: and, in doing so, it is not necessary to consider the stretching part (or Tensor) of the quaternion--for that part is a mere number and so obeys all the laws of ordinary algebra. We may represent quaternions by plane angles or by arcs of great circles on a unit sphere. Thus, if PQR be a spherical triangle whose sides p, q, r are portions of great circles on the unit sphere, the quantities p, q, r may represent the corresponding quaternions. Let a be the vector from the origin to the point Q. Then pa is the vector to the point R, and q-pa is the vector to P. But this is also ra, if r is measured from Q to P while p and q are measured from Q to R, and from R to P, respectively. And we are at liberty to define r qp, so that q-pa qpa. This makes the associative law hold when a, pa, and qpa are vectors--a fact which is pointed out by Hamilton, Lectures, 310, and by Tait, Elements, 54. It defines quaternion multiplication. Various proofs that the associative law holds in the multiplication of quaternions have been given. Of these, Hamiltons proof (Lectures, 296; Elements, 270; and Taits Elements, 57-60) by spherical arcs and elementary properties of spherical conics involves, by definition, the particular assumption of association just alluded to. His alternative proof, by more elementary geometry (Lectures, 298-301), makes use of the same definition; and the same remark applies to the proof given in 358, 359 of the Lectures. On the other hand, the geometrical proof given in Hamiltons Elements, 266, 267, 272, is based upon the definition of the reciprocal of a quaternion, which makes the produ. . . This item ships from La Vergne,TN. Paperback. Bookseller Inventory # 9781130755213

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Edinburgh Mathematical Society
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Book Description Rarebooksclub.com, United States, 2012. 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 download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1893 Excerpt: . are attained, it is necessary to consider the laws of multiplication of quaternions: and, in doing so, it is not necessary to consider the stretching part (or Tensor) of the quaternion--for that part is a mere number and so obeys all the laws of ordinary algebra. We may represent quaternions by plane angles or by arcs of great circles on a unit sphere. Thus, if PQR be a spherical triangle whose sides p, q, r are portions of great circles on the unit sphere, the quantities p, q, r may represent the corresponding quaternions. Let a be the vector from the origin to the point Q. Then pa is the vector to the point R, and q-pa is the vector to P. But this is also ra, if r is measured from Q to P while p and q are measured from Q to R, and from R to P, respectively. And we are at liberty to define r = qp, so that q-pa = qpa. This makes the associative law hold when a, pa, and qpa are vectors--a fact which is pointed out by Hamilton, Lectures, 310, and by Tait, Elements, 54. It defines quaternion multiplication. Various proofs that the associative law holds in the multiplication of quaternions have been given. Of these, Hamilton s proof (Lectures, 296; Elements, 270; and Tait s Elements, 57-60) by spherical arcs and elementary properties of spherical conics involves, by definition, the particular assumption of association just alluded to. His alternative proof, by more elementary geometry (Lectures, 298-301), makes use of the same definition; and the same remark applies to the proof given in 358, 359 of the Lectures. On the other hand, the geometrical proof given in Hamilton s Elements, 266, 267, 272, is based upon the definition of the reciprocal of a quaternion, which makes the produ. Bookseller Inventory # APC9781130755213

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