Elements of Quaternions |
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Page xiv
... Intersection ( or intersections ) of a circle with a plane curve to which it osculates ; example , hyperbola , · ARTICLE 394. - Intersection ( or intersections ) of a spherical curve with a small circle osculating thereto ; example ...
... Intersection ( or intersections ) of a circle with a plane curve to which it osculates ; example , hyperbola , · ARTICLE 394. - Intersection ( or intersections ) of a spherical curve with a small circle osculating thereto ; example ...
Page xviii
... intersection of those two surfaces of the second Pages . The rectifying plane , of the cusp - edge of the rectifying developable , is the plane of λ and r ' , of which the formula LIV ' . in p . 587 is the equation ; and the rectifying ...
... intersection of those two surfaces of the second Pages . The rectifying plane , of the cusp - edge of the rectifying developable , is the plane of λ and r ' , of which the formula LIV ' . in p . 587 is the equation ; and the rectifying ...
Page xix
... intersection ( real or imaginary ) of these two cones , which have a common vertex P , and are respectively of the second and third orders ( or degrees ) . Additional light will be thrown on this whole subject , in the following Series ...
... intersection ( real or imaginary ) of these two cones , which have a common vertex P , and are respectively of the second and third orders ( or degrees ) . Additional light will be thrown on this whole subject , in the following Series ...
Page xxiv
... intersection of the real cone ( C2 ) , with the real cylinder ( L2 ) . ( c ) . Transformations and verifications of this result ; fractional ex- pressions ( p . 616 ) , for the co - ordinates of the twisted cubic ; expres- sion ( p ...
... intersection of the real cone ( C2 ) , with the real cylinder ( L2 ) . ( c ) . Transformations and verifications of this result ; fractional ex- pressions ( p . 616 ) , for the co - ordinates of the twisted cubic ; expres- sion ( p ...
Page xxv
... intersection of the two planes , ABC and DEF . If then we investigate the intersection of this surface ( S1 ) with the quadric cone , ( A.BCDEF ) , or say ( 02 ) , which has A for vertex , and passes through the five other given points ...
... intersection of the two planes , ABC and DEF . If then we investigate the intersection of this surface ( S1 ) with the quadric cone , ( A.BCDEF ) , or say ( 02 ) , which has A for vertex , and passes through the five other given points ...
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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