An Elementary Treatise on Quaternions |
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Page ix
... drawn up so as to give the student a short and simple summary of the chief fundamental for- mulae of the Calculus itself , and is therefore confined to an analysis of the first five [ and the two last ] chapters . ' In conclusion , I ...
... drawn up so as to give the student a short and simple summary of the chief fundamental for- mulae of the Calculus itself , and is therefore confined to an analysis of the first five [ and the two last ] chapters . ' In conclusion , I ...
Page xiii
... drawn through the origin parallel to 8 . p = a + xB is the equation of a line drawn through the extremity of a and parallel to B. § 28 . p = ya + xB represents the plane through the origin parallel to a and B. § 29 . The condition that ...
... drawn through the origin parallel to 8 . p = a + xB is the equation of a line drawn through the extremity of a and parallel to B. § 28 . p = ya + xB represents the plane through the origin parallel to a and B. § 29 . The condition that ...
Page 7
... draw PQ parallel to CO , meeting the plane BOA in Q. [ There must be a definite point Q , else PQ , and therefore CO , would be parallel to BOA , a case specially excepted ... drawn eastwards , j 25. ] 7 VECTORS , AND THEIR COMPOSITION .
... draw PQ parallel to CO , meeting the plane BOA in Q. [ There must be a definite point Q , else PQ , and therefore CO , would be parallel to BOA , a case specially excepted ... drawn eastwards , j 25. ] 7 VECTORS , AND THEIR COMPOSITION .
Page 8
Peter Guthrie Tait. upwards , Suppose i to be drawn eastwards , j northwards , and this is equivalent merely to saying that if two points ... drawn from 4 , where OA 8 [ 26 . QUATERNIONS . De Moivre's Theorem interpreted in plane rotation §
Peter Guthrie Tait. upwards , Suppose i to be drawn eastwards , j northwards , and this is equivalent merely to saying that if two points ... drawn from 4 , where OA 8 [ 26 . QUATERNIONS . De Moivre's Theorem interpreted in plane rotation §
Page 9
Peter Guthrie Tait. = The straight line drawn from 4 , where OA a , and parallel to B , has the equation p = a + xß . ( 1 ) In words , we may pass directly from 0 to P by the vector OP or p ; or we may pass first to A , by means of OA or ...
Peter Guthrie Tait. = The straight line drawn from 4 , where OA a , and parallel to B , has the equation p = a + xß . ( 1 ) In words , we may pass directly from 0 to P by the vector OP or p ; or we may pass first to A , by means of OA or ...
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Common terms and phrases
a₁ axes axis Cartesian centre of inertia Chapter circle cloth cone conjugate constant cöordinates coplanar curvature curve developable surface diameters differential direction drawn easily ellipsoid envelop equal evidently expression Extra fcap extremity fcap Find the equation Find the locus given equation given line given vectors gives Hamilton Hence hodograph integral intersection last section length linear and vector locus normal obviously once operator origin osculating osculating plane P₁ parabola parallel perpendicular properties quaternion radius rectangular represents result right angles rotation S.aßy Saß scalar scalar equations second order self-conjugate shew solution sphere spherical straight line suppose surface surface of revolution tangent plane Taylor's Theorem tensor theorem three vectors triangle unit-vectors Vaß vector function versor w₁ write written Τρ φρ