An Elementary Treatise on QuaternionsClarendon Press, 1873 - 296 pagina's |
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Pagina 5
... radius - vector . Three again . 16. ] Here it is to be carefully noticed that nothing has been said of the actual coordinates of either A or B , or of the earth and moon , in space ; it is only the relative cöordinates that are ...
... radius - vector . Three again . 16. ] Here it is to be carefully noticed that nothing has been said of the actual coordinates of either A or B , or of the earth and moon , in space ; it is only the relative cöordinates that are ...
Pagina 23
... radius of a given circle through an angle in the positive direction of rotation , without altering its length , deduce the ordinary formulæ for cos ( A + B ) , cos ( A − B ) , sin ( A + B ) , and sin ( A – B ) , in terms of sines and ...
... radius of a given circle through an angle in the positive direction of rotation , without altering its length , deduce the ordinary formulæ for cos ( A + B ) , cos ( A − B ) , sin ( A + B ) , and sin ( A – B ) , in terms of sines and ...
Pagina 54
... radius drawn to the corner ( a , d ) . 107. ] To exemplify the variety of possible transformations even of simple expressions , we will take two cases which are of frequent occurrence in applications to geometry . Thus [ which expresses ...
... radius drawn to the corner ( a , d ) . 107. ] To exemplify the variety of possible transformations even of simple expressions , we will take two cases which are of frequent occurrence in applications to geometry . Thus [ which expresses ...
Pagina 61
... radius is √a2 - w2 . ( Tp ) 2 = a2 — w2 , value of w , not greater than a , a sphere Hence the equation is satisfied by the vector of any point whatever in the volume of a 119. ] 61 INTERPRETATIONS AND TRANSFORMATIONS .
... radius is √a2 - w2 . ( Tp ) 2 = a2 — w2 , value of w , not greater than a , a sphere Hence the equation is satisfied by the vector of any point whatever in the volume of a 119. ] 61 INTERPRETATIONS AND TRANSFORMATIONS .
Pagina 62
... radius a , whose centre is origin . Again , by the same kind of investigation , ( T ( q - ẞ ) ) 2 = a2 , where q = w + p , is easily seen to represent the volume of a sphere of radius a described about the extremity of ẞ as centre ...
... radius a , whose centre is origin . Again , by the same kind of investigation , ( T ( q - ẞ ) ) 2 = a2 , where q = w + p , is easily seen to represent the volume of a sphere of radius a described about the extremity of ẞ as centre ...
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...