An Elementary Treatise on QuaternionsClarendon Press, 1873 - 296 pagina's |
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Pagina vii
... easily have rivalled the bulk of one of Hamilton's volumes . The beginner is recommended merely to read the first five Chapters , then to work at Chapters VI , VII , VIII ( to which numerous easy Examples are appended ) . After this he ...
... easily have rivalled the bulk of one of Hamilton's volumes . The beginner is recommended merely to read the first five Chapters , then to work at Chapters VI , VII , VIII ( to which numerous easy Examples are appended ) . After this he ...
Pagina ix
... easily introduced into Quaternions as into Cartesian methods ) are quite beyond the amount of mathematics which even the best students can master in three years ' reading . One grand step to the supply of this want is , of course , the ...
... easily introduced into Quaternions as into Cartesian methods ) are quite beyond the amount of mathematics which even the best students can master in three years ' reading . One grand step to the supply of this want is , of course , the ...
Pagina 3
... easily that p , q , r must be non - reals : but , he asks , " seraient - elles imaginaires réductibles à la forme générale A + B √1 ? " This he could not answer . In fact they are the i , j , k of the Quaternion Calculus . ( See Chap ...
... easily that p , q , r must be non - reals : but , he asks , " seraient - elles imaginaires réductibles à la forme générale A + B √1 ? " This he could not answer . In fact they are the i , j , k of the Quaternion Calculus . ( See Chap ...
Pagina 7
... easily extended to incommensurables by the usual reductio ad absurdum . 23. ] An important , but almost obvious , proposition is that any vector may be resolved , and in one way only , into three components parallel respectively to any ...
... easily extended to incommensurables by the usual reductio ad absurdum . 23. ] An important , but almost obvious , proposition is that any vector may be resolved , and in one way only , into three components parallel respectively to any ...
Pagina 11
... easily verified by producing Aa to twice its length and joining the extremity with B. ( b . ) The bisectors of the sides of a triangle meet in a point , which trisects each of them . Taking A as origin , and putting a , ß , y for ...
... easily verified by producing Aa to twice its length and joining the extremity with B. ( b . ) The bisectors of the sides of a triangle meet in a point , which trisects each of them . Taking A as origin , and putting a , ß , y for ...
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...