Elements of Quaternions |
From inside the book
Results 1-5 of 100
Page xix
... common side , † but they have also three other common sides , whereof one at least is real , since they are assigned by a cubic equation ( same p . 590 ) ; and by taking this side for the line PE in ( g ) , there results a new cylinder ...
... common side , † but they have also three other common sides , whereof one at least is real , since they are assigned by a cubic equation ( same p . 590 ) ; and by taking this side for the line PE in ( g ) , there results a new cylinder ...
Page xxiv
... common sides , PE , PE , PE " , of these two cones , which remain when the tangent PT is excluded , and of which one at least must be real , are the parallels through the given point P to the three asymptotes ( 398 , ( i ) ) to the ...
... common sides , PE , PE , PE " , of these two cones , which remain when the tangent PT is excluded , and of which one at least must be real , are the parallels through the given point P to the three asymptotes ( 398 , ( i ) ) to the ...
Page xxxiv
... common centre o , have their asymp totic cones biconfocal , and pass through a common point P , their normals at that point have a quadric cone ( C ) for their locus . ARTICLE 412. - On Centres of Curvature of Surfaces , σ ( a ) . If a ...
... common centre o , have their asymp totic cones biconfocal , and pass through a common point P , their normals at that point have a quadric cone ( C ) for their locus . ARTICLE 412. - On Centres of Curvature of Surfaces , σ ( a ) . If a ...
Page l
... common chord , which passes through , or tends towards , a common centre of force , be cut perpendicu- larly by a third circle , the times of hodographically describing the inter- cepted arcs will be equal . ( o ) . This common time can ...
... common chord , which passes through , or tends towards , a common centre of force , be cut perpendicu- larly by a third circle , the times of hodographically describing the inter- cepted arcs will be equal . ( o ) . This common time can ...
Page lv
... common centre o of the two surfaces ; but v terminating ( p . 738 ) on the tangent plane to the wave , and being parallel to the direc- tion of the elastic force de ; whereas w terminates ( p . 739 ) on the tan- gent plane to the index ...
... common centre o of the two surfaces ; but v terminating ( p . 738 ) on the tangent plane to the wave , and being parallel to the direc- tion of the elastic force de ; whereas w terminates ( p . 739 ) on the tan- gent plane to the index ...
Contents
xxxix | |
xlv | |
lii | |
1 | |
3 | |
7 | |
8 | |
9 | |
12 | |
14 | |
17 | |
21 | |
37 | |
55 | |
60 | |
61 | |
67 | |
83 | |
86 | |
89 | |
92 | |
95 | |
143 | |
206 | |
226 | |
227 | |
263 | |
269 | |
271 | |
289 | |
307 | |
315 | |
321 | |
345 | |
347 | |
354 | |
371 | |
379 | |
387 | |
389 | |
391 | |
411 | |
418 | |
427 | |
435 | |
453 | |
483 | |
495 | |
501 | |
504 | |
569 | |
574 | |
575 | |
581 | |
585 | |
591 | |
593 | |
595 | |
598 | |
601 | |
604 | |
621 | |
629 | |
634 | |
641 | |
642 | |
649 | |
666 | |
669 | |
671 | |
674 | |
676 | |
681 | |
686 | |
689 | |
690 | |
694 | |
700 | |
705 | |
706 | |
709 | |
713 | |
719 | |
726 | |
729 | |
735 | |
736 | |
738 | |
742 | |
757 | |
761 | |
Other editions - View all
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