An Elementary Treatise on QuaternionsClarendon Press, 1873 - 296 pagina's |
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Pagina vi
... course , tell in every case what I have gathered from his published papers , or from his voluminous correspondence , and what I may have made out for myself . Some theorems and processes which I have given , though wholly my own , in ...
... course , tell in every case what I have gathered from his published papers , or from his voluminous correspondence , and what I may have made out for myself . Some theorems and processes which I have given , though wholly my own , in ...
Pagina vii
... course , if we premise the properties of i , j , k merely , it is possible to construct from them the whole system * ; just as we deal with the imaginary of Algebra , or , to take a closer analogy , just as Hamilton himself dealt with ...
... course , if we premise the properties of i , j , k merely , it is possible to construct from them the whole system * ; just as we deal with the imaginary of Algebra , or , to take a closer analogy , just as Hamilton himself dealt with ...
Pagina ix
... course , the introduction into the scheme of examination of such branches of mathematical physics as the Theories of Heat and Electricity . But it appears to me that the study of a mathematical method like Quaternions , which , while of ...
... course , the introduction into the scheme of examination of such branches of mathematical physics as the Theories of Heat and Electricity . But it appears to me that the study of a mathematical method like Quaternions , which , while of ...
Pagina 2
... course , denotes the point whose x and y cöordinates are -b and a ; or the line joining this point with the origin . The length is still √a2 + b2 , but the angle the line makes with the axis of a is tan - 1 ( - ) ; which is evidently ...
... course , denotes the point whose x and y cöordinates are -b and a ; or the line joining this point with the origin . The length is still √a2 + b2 , but the angle the line makes with the axis of a is tan - 1 ( - ) ; which is evidently ...
Pagina 4
... course of exposition ; especially as we thereby avoid some reasoning which , though rigorous and beautiful , might be apt , from its subtlety , to prove repulsive to the beginner . We commence , therefore , with some very elementary ...
... course of exposition ; especially as we thereby avoid some reasoning which , though rigorous and beautiful , might be apt , from its subtlety , to prove repulsive to the beginner . We commence , therefore , with some very elementary ...
Overige edities - Alles bekijken
Veelvoorkomende woorden en zinsdelen
a₁ axes axis Cartesian centre of inertia Chapter circle condition cone conjugate cöordinates coplanar curvature curve developable surface differential direction drawn easily Eliminating ellipsoid envelop equal evidently expression extremity Find the equation Find the locus formula given equation given lines given point gives Hamilton Hence hodograph integral intersection LAOB last section length linear and vector magnetism normal obviously once operator origin osculating plane P₁ parabola parallel pass perpendicular properties prove quaternion radius represents result right angles rotation S.aßy Saß scalar scalar equations second order shew solution sphere spherical conic straight line suppose surface surface of revolution tangent plane tensor tetrahedron theorem three vectors triangle unit-vectors Vaß vector function vector perpendicular versor write written Τρ φρ
Populaire passages
Pagina 299 - SCRIPTURES, &c. The Cambridge Paragraph Bible of the Authorized English Version, with the Text revised by a Collation of its Early and other Principal Editions...
Pagina 298 - VILLEMAIN, with a Biographical Sketch of the Author, a Selection of Poems on Greece, and Notes Historical and Philological. By the same Editor, is.
Pagina 299 - Students of the Bible should be particularly grateful to (the Cambridge University Press) for having produced, with the able assistance of Dr Scrivener, a complete critical edition of the Authorized Version of the English Bible, an edition such as, to use the words of the Editor, 'would have been executed long ago had this version been nothing more than the greatest and best known of English classics.
Pagina 138 - The locus of the middle points of a system of parallel chords in a parabola is called a diameter.
Pagina 11 - The perpendicular bisectors of the sides of a triangle meet in a point which is equidistant from the vertices of the triangle. Let the -l. bisectors EE' and DD
Pagina 299 - Mr. Scrivener has carefully collated the text of our modern Bibles with that of the first edition of 1611, restoring the original reading in most places, and marking every place where an obvious correction has been made ; he has made the spelling as uniform as possible ; revised the punctuation (punctuation, as those who cry out for the Bible without note or comment should remember, is a continuous commentary on the text); carried out consistently the plan of marking' with italics all words not found...