| 1. |
on Page 132: |
| "... axis," advised Dr. Blope, "past to future-the only
turnings possible being turns of a hundred and eighty degrees. In the Quaternions,
a ninety-degree direction would correspond to an additional axis whose
unit is ' -1. ..." |
| 2. |
on Page 156: |
| "... something unspecified but miraculous will come to pass.
Harvard in a nutshell, if you really want to know." "They teach Quaternions
there instead of Vector Analysis," Kit helpfully put in. ..." |
| 3. |
on Page 324: |
| "... a row of them on his book- shelf, and leaf through to
one of the articles. "P. G. Tait on Quaternions. ..." |
| 4. |
on Page 445: |
| "...
fittings, hardware nobody could identify, full of strange gauges and
prisms and electrical wiring which later proved to be from Quaternion-ray
weapons, which all the Powers had deployed. ..." |
| 5. |
on Page 511: |
| "...
Four-Dimensional Geometry, having studied under Professor Manning at
Brown. Unlike the Yale math depart- ment, the one at Brown taught Quaternions,
but despite the language differ- ence, Kit found Root a cheerful
fellow, ..." |
| 6. |
on Page 525: |
| "... hand of varying ages and nationali- ties, whose only
common language Kit recognized presently as that of the Quaternions,
though he couldn't recall ever seeing so many of that embattled
persuasion gathered in one place before. ..." |
| 7. |
on Page 526: |
| "... In the wake of the transatlantic unpleasantness of the
'90s known as the Quaternion Wars-in which Kit was aware that
Yale, being the home of Gibhsian Vectors, had fig- ured as a major
belligerent-true ..." |
| 8. |
on Page 531: |
| "... to imps of ingenious discomfort. "Is this a stag affair,
or are there likely to be one or two lady Quaternion- ists? ..." |
| 9. |
on Page 534: |
| "... " "Actually Quaternions
failed because they perverted what the Vectorists thought they know of
God's intention-that space be simple, three- dimensional, and real, ..." |
| 10. |
on Page 536: |
| "... as it turned out, the Quaternion
folks all had members' privileges at the Kursaal, which included the
Casino. "Intriguing new field opening up," Root confided on ..." |
| 11. |
on Page 538: |
| "... being so out- moded is that nobody recognizes it when
they see it." "So I have-what do you call them? Quaternions to
thank. ..." |
| 12. |
on Page 539: |
| "... As a matter of fact, in India, the Quaternions
are now the basis of a modern school of Yoga, a discipline which has
always re- lied on such operations ..." |
| 13. |
on Page 545: |
| "... Well, maybe not 'talk,' exactly. I keep telling her she
has to learn Quaternions first, and darn if she doesn't
actually keep showing up for more lessons." "She learning anything?" "I
know I am." ..." |
| 14. |
on Page 548: |
| "... Darby, looking through one of the remote viewers. "For
that embattled discipline," said Chick, "back in the days of the Quaternion
Wars, ..." |
| 15. |
on Page 549: |
| "...
the strengths of the electric and magnetic fields, de Decker's people
naturally conflated this with those recent rumors of a Quaternion
weapon which had Piet Woevre so intrigued. Woevre couldn't always see
the skyship, but he knew it was there. ..." |
| 16. |
on Page 558: |
| "... Mulciber. "It's said the inventor of this weapon has
found a way to get inside the scalar part of a Quaternion,
where invisible powers may be had for the taking. ..." |
| 17. |
on Page 560: |
| "... I think they've been keeping company." "Oh, she's that
one." Kit rolled his eyes. "The gossiping never stops with you Quaternion
folks, do you all have to swear some oath to always lead an irregular
life?" "Monotony-it's something you Vectorists are ..." |
| 18. |
on Page 561: |
| "... as to a revered anthem, "and it is in this Pentecostal
moment that the Quaternions descend, to take up their earthly
residence among the thoughts of men." IN t H t: F 't.s-r i v ..." |
| 19. |
on Page 564: |
| "... Same character as for death. Perhaps how I got drawn to
the Quaternions. Let us say each of the four states is
associated with one of the four `dimensions' of Minkowskian
space-time-or, in ..." |
| 20. |
on Page 566: |
| "...
mes- sage it seemed to convey being "Deep among the equations
describing the behavior of light, field equations, Vector and Quaternion
equations, lies a set of directions, an itinerary, a map to a hidden
space. Double refraction ap- pears again and ..." |
| 21. |
on Page 590: |
| "... " as to a naughty child one ex- pected to become, in a
short while, naughtier. "Nothing but Quaternions over there."
"Oh dear, not the Quaternion Wars again. That is so all rather
fading into history now, not to ..." |
| 22. |
on Page 634: |
| "... and there he was, undeniably at the canalside in Dublin
sixty years ago as Hamilton received the Quaternions
from an ex- trapersonal source nearly embodied in this very light, the
Brougham Bridge receding away in perfect perspective, the ..." |
| 23. |
on Page 784: |
| "... " He had been thinking, with deep anxiety, about the Quaternion
weapon he'd turned over to Umeki Tsurigane in Ostend. For the likes of
Piet Woevre, the instrument had promised an ..." |
| 24. |
on Page 863: |
| "... but it terrible broken anxiety over Vlado's Lite. She
found she could make out some of the symbols, vector and Quaternion
notation she remembered Kit showing her hack in Göttingen. ..." |