Lectures on Quaternions: Containing a Systematic Statement of a New Mathematical Method; of which the Principles Were Communicated in 1843 to the Royal Irish Academy; and which Has Since Formed the Subject of Successive Courses of Lectures, Delivered in 1848 and Subsequent Years, in the Halls of Trinity College, Dublin: with Numerous Illustrative Diagrams, and with Some Geometrical and Physical Applications, Volumes 2-4 (Google eBook)

Sir William Rowan Hamilton

Hodges and Smith, 1853 - Quaternions - 736 pages

Contents

• xxni j and although qr Kgt is in this case an indeterminate vec: 1
• Addition and subtraction of lines corresponding to composition and decompo: 31
• Illustrations from meridional and extrameridional transit telescopes: x
• When the three lines a 3 y are coplanar and are supposed to be: xxviii
• xi k kxj i ix k j: xl
• xxxm On the other hand although the rotation produced by the operation: l
• LECTURE I: 1
• General views respecting the four signs + X primary signification: 14
• n Synthetic aspect of the same symbol B A as denoting the step or vector: 25
• LECTURE II: 33
• Recapitulation quotient of two directed lines which quotient is after: 39
• vn Profaction profactor yf3 r rx3 y transfaction transfactor: 48
• vni Examples case where the rays compared have all one common direction: 68
• every quadrastal veesor is a semiinvkrsor and as such is a geome: 78
• ry Transvection transport of a point at once from A to c substituted for: 81
• The product of two parallel lines is a number namely the numerical pro: 82
• Resolution of every act of faction into a metric and a graphic element: 89
• xvm When the factor q is regarded see vi as a geometrical quotient: 95
• Analogous determinations for differences of points see c constructed: 105
• examination and explanation of a formula which may seem at first it: 117
• exponents we have generally as in algebra pm p p: 125
• Recapitulation construction of a quadrantal quaternion or of the quo: 134
• and we may conceive that this latter power of a versor is itself another: 153
• xxxt If we allow this amplitude L q to take any one of the values included: 163
• po p Vl: 181
• Negatives of quaternions: 250
• LECTURE m: 435
• The product of a scalar and a vector or of a number and a line is a line: 731

Bibliographic information

• Title: Lectures on Quaternions: Containing a Systematic Statement of a New Mathematical Method; of which the Principles Were Communicated in 1843 to the Royal Irish Academy; and which Has Since Formed the Subject of Successive Courses of Lectures, Delivered in 1848 and Subsequent Years, in ..., Volumes 2-4; Lectures on Quaternions: Containing a Systematic Statement of a New Mathematical Method; of which the Principles Were Communicated in 1843 to the Royal Irish Academy; and which Has Since Formed the Subject of Successive Courses of Lectures, Delivered in 1848 and Subsequent Years, in the Halls of Trinity College, Dublin: with Numerous Illustrative Diagrams, and with Some Geometrical and Physical Applications, Sir William Rowan Hamilton
• Author: Sir William Rowan Hamilton
• Publisher: Hodges and Smith, 1853
• Original from: Harvard University
• Digitized: Jul 31, 2007
• Length: 736 pages