Elements of Quaternions |
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Page xi
... constant vector - unit , while t is a variable scalar . It is important to remember ( comp . III . i . 11 ) , that ... constant vector , and if the plane of a and p be given ( or constant ) . SECTION 5. - On Successive Differentials and ...
... constant vector - unit , while t is a variable scalar . It is important to remember ( comp . III . i . 11 ) , that ... constant vector , and if the plane of a and p be given ( or constant ) . SECTION 5. - On Successive Differentials and ...
Page xiii
... constants . ( Q ) Cases are discussed ; and general forms ( called cyclic , rectangular , focal , bifocal , & c ... constant values of g , λ , μ , φρ = 9ρ + Γλρμ , Spøp = gp2 + Sλрμр . ( R ) And finally it is shown ( pp . 491 , 492 ) ...
... constants . ( Q ) Cases are discussed ; and general forms ( called cyclic , rectangular , focal , bifocal , & c ... constant values of g , λ , μ , φρ = 9ρ + Γλρμ , Spøp = gp2 + Sλрμр . ( R ) And finally it is shown ( pp . 491 , 492 ) ...
Page xvi
... constant , the proposed curve is a geodetic on a cylinder : new proof that if each curvature ( r , r1 ) be constant , the cylinder is right , and therefore the curve a helix , Pages . . . 559-578 ARTICLE 398. - Properties of a curve in ...
... constant , the proposed curve is a geodetic on a cylinder : new proof that if each curvature ( r , r1 ) be constant , the cylinder is right , and therefore the curve a helix , Pages . . . 559-578 ARTICLE 398. - Properties of a curve in ...
Page xviii
... constant ( p . 587 ) , of a cone of the second order , which has its vertex at the given point P , and has contact of the third order ( or four - side contact ) with the cone of chords ( 397 ) from that point ; equation ( p . 590 ) of a ...
... constant ( p . 587 ) , of a cone of the second order , which has its vertex at the given point P , and has contact of the third order ( or four - side contact ) with the cone of chords ( 397 ) from that point ; equation ( p . 590 ) of a ...
Page xix
... constant in the equation of the cone ( g ) , so that this cone may have contact of the fourth order ( or fire - side ... constants not only rrr'r'r'r " , like that of the osculating cone just determined , but also r " . The two cones ...
... constant in the equation of the cone ( g ) , so that this cone may have contact of the fourth order ( or fire - side ... constants not only rrr'r'r'r " , like that of the osculating cone just determined , but also r " . The two cones ...
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Common terms and phrases
ABCD algebra angle anharmonic axis centre CHAP circle coefficients collinear comp Compare the Note complanar cone conic conjugate considered construction curvature curve cyclic deduced denote derived differential diplanar direction ellipsoid equal equation expression formula four fourth proportional function geometrical given plane given points harmonic conjugate imaginary interpreted intersection length line oa linear locus multiplication negative notation osculating osculating circle osculating plane P₁ parallelogram perpendicular positive quadratic quadrilateral quinary radius reciprocal relative direction represented right line right quaternions right quotient right versors roots rotation round scalar SECTION sides sphere spherical spherical angle sub-articles supposed surface symbol tangent tensor ternion theorem tion triangle ABC twisted cubic variable vector VIII whence whereof write