An Elementary Treatise on QuaternionsClarendon Press, 1873 - 296 pagina's |
Vanuit het boek
Resultaten 1-5 van 69
Pagina 2
... evidently 90 ° greater -1 than before the operation . 1 a 7. ] De Moivre's Theorem tends to lead us still farther in the same direction . In fact , it is easy to see that if we use , instead of √1 , the more general factor cos a + √1 ...
... evidently 90 ° greater -1 than before the operation . 1 a 7. ] De Moivre's Theorem tends to lead us still farther in the same direction . In fact , it is easy to see that if we use , instead of √1 , the more general factor cos a + √1 ...
Pagina 5
... evidently CD = AB = a , where it will be seen that the sign of equality between vectors contains implicitly equality in length and parallelism in direction . So far we have extended the meaning of an algebraical symbol . And it is to be ...
... evidently CD = AB = a , where it will be seen that the sign of equality between vectors contains implicitly equality in length and parallelism in direction . So far we have extended the meaning of an algebraical symbol . And it is to be ...
Pagina 6
... evidently but different expressions of the same truth . 21. ] In any triangle , ABC , we have , of course , AB + BC + CA = 0 ; and , in any closed polygon , whether plane or gauche , AB + BC + ...... + YZ + ZA = 0 . In the case of the ...
... evidently but different expressions of the same truth . 21. ] In any triangle , ABC , we have , of course , AB + BC + CA = 0 ; and , in any closed polygon , whether plane or gauche , AB + BC + ...... + YZ + ZA = 0 . In the case of the ...
Pagina 14
... e . if the point be r being positive . R , where OQ = p = pa + ( 22 + r ) ß , Such a point is evidently within the curve , as at 22 ß , QP = pa , PR = p2 = rB . ( h . ) Calling the values of t for 14 [ 31 . QUATERNIONS .
... e . if the point be r being positive . R , where OQ = p = pa + ( 22 + r ) ß , Such a point is evidently within the curve , as at 22 ß , QP = pa , PR = p2 = rB . ( h . ) Calling the values of t for 14 [ 31 . QUATERNIONS .
Pagina 16
... evidently represents a hyperbola referred to its asymptotes . But , so far as we have yet gone with the explanation of the calculus , as we are not prepared to determine the lengths or in- clinations of vectors , we can investigate only ...
... evidently represents a hyperbola referred to its asymptotes . But , so far as we have yet gone with the explanation of the calculus , as we are not prepared to determine the lengths or in- clinations of vectors , we can investigate only ...
Overige edities - Alles bekijken
Veelvoorkomende woorden en zinsdelen
a₁ axes axis Cartesian centre Chapter circle condition cone conjugate cöordinates coplanar curvature curve cylinder developable surface direction drawn easily Eliminating ellipsoid equal equation becomes evidently expression extremity Find the equation Find the locus formula given equation given lines given point gives Hamilton Hence integral intersection LAOB last section length linear and vector normal obviously once operating origin osculating plane parallel perpendicular properties prove quaternion radius rectangular system represents result right angles rotation S.aßp S.aßy Sapa Saß scalar scalar equations second order shew sin sin sin solution sphere spherical conic Spopp ẞ² suppose surface of revolution tangent plane tensor tetrahedron theorem three vectors triangle unit-vector Vaß vector function vector perpendicular versor write written Τρ φρ
Populaire passages
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