Elements of Quaternions |
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Page xvii
... determined , which envelope ( for reasons afterwards more fully explained ) is called here ( p . 581 ) the " Cir- cunscribed Developable being a surface analogous to the " Rectifying Developable " of Lancret , but belonging ( c ) to a ...
... determined , which envelope ( for reasons afterwards more fully explained ) is called here ( p . 581 ) the " Cir- cunscribed Developable being a surface analogous to the " Rectifying Developable " of Lancret , but belonging ( c ) to a ...
Page xviii
... determination of the point R , in which the latter cusp - edge is touched by the rectifying line A to the original ... determined , that the right line PE shall be a side of the cone also , and therefore a part of the intersec- tion of ...
... determination of the point R , in which the latter cusp - edge is touched by the rectifying line A to the original ... determined , that the right line PE shall be a side of the cone also , and therefore a part of the intersec- tion of ...
Page xix
... determined , but also r " . The two cones last mentioned have the tangent ( 7 ) to the given curve for a common side , † but they have also three other common sides , whereof one at least is real , since they are assigned by a cubic ...
... determined , but also r " . The two cones last mentioned have the tangent ( 7 ) to the given curve for a common side , † but they have also three other common sides , whereof one at least is real , since they are assigned by a cubic ...
Page xxv
... determined , without any such difficulty or apparent variety , as might be supposed to attend the solution of a cubic equation ( d ) , and with new verifications for the case of the helix ( p . 621 ) . ARTICLE 400. - On Involutes and ...
... determined , without any such difficulty or apparent variety , as might be supposed to attend the solution of a cubic equation ( d ) , and with new verifications for the case of the helix ( p . 621 ) . ARTICLE 400. - On Involutes and ...
Page xxx
... determined by the differen- tial equation of the first order , Svdvdp = 0 , which will be seen , in the next Series , to represent the lines of curvature . ARTICLE 410. - On Lines of Curvature generally ; and in particu- lar on such ...
... determined by the differen- tial equation of the first order , Svdvdp = 0 , which will be seen , in the next Series , to represent the lines of curvature . ARTICLE 410. - On Lines of Curvature generally ; and in particu- lar on such ...
Contents
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lii | |
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3 | |
7 | |
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21 | |
37 | |
55 | |
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581 | |
585 | |
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713 | |
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729 | |
735 | |
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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