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" ... regular helix lies on a circular cylinder. Let a be the radius of the circle thus formed by the axis of the closed helix ; let r denote the radius of the cross section of the ideal toroid on the surface of which the helix lies, supposed small in comparison... "
The London, Edinburgh and Dublin Philosophical Magazine and Journal of Science - Page 94
1880
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Proceedings, Volume 9

Royal Society of Edinburgh - Science - 1878 - 830 pages
...revolution of a circle round any line in its plane not cutting it. Any simple on a circular cylinder. Let a be the radius of the circle thus formed by the...to the normal section of the toroid. We have 2ira a ., tan 6 5=^-= — N.2irr because -=^- is as it were the step of the screw, and 2irr is the circumference...
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Mathematical and Physical Papers, Volume 4

William Thomson Baron Kelvin - Mathematics - 1910 - 581 pages
...of the inner one of the two is a section of the aperture. regular helix lies on a circular cylinder. Let a be the radius of the circle thus formed by the...helix to the normal section of the toroid. We have 2?ra a tan a = -=-= — — — = -r^r- , N . 27TT Nr because ^ira/N is, as it were, the step of the...
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Mathematical and Physical Papers, Volume 4

William Thomson Baron Kelvin - Mathematics - 1910 - 588 pages
...toroid. It consists essentially of a simple closed curve. regular helix lies on a circular cylinder. Let a be the radius of the circle thus formed by the...helix to the normal section of the toroid. We have 2-rra a tan t> = ,, ,. — = -^F- , N . 27rr Nr because 2ira/N is, as it were, the step of the screw,...
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Mathematical and Physical Papers, Volume 4

William Thomson Baron Kelvin - Mathematics - 1910 - 588 pages
...of the inner one of the two is a section of the aperture. regular helix lies on a circular cylinder. Let a be the radius of the circle thus formed by the...helix to the normal section of the toroid. We have 1-na a tan v = ,. „ — = -jff- , NZ-nr Nr because 'iiraJN is, as it were, the step of the screw,...
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Proceedings of the Royal Society of Edinburgh, Volume 9

Royal Society of Edinburgh - Science - 1878 - 846 pages
...helix, because it lies on a toroid * just as the common regular helix lies on a circular cylinder. Let a be the radius of the circle thus formed by the...supposed small in comparison with a; and let 6 denote the iaclination of the helix to the normal section of the toroid. We have 2ira a tan 6 = N.27rr Nr ' because...
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Philosophical Magazine

Physics - 1880 - 502 pages
...of the toroidal substance ; and the area of the inner one of the two is a section of the aperture. Let a be the radius of the circle thus formed by the...lies, supposed small in comparison with a ; and let 0 denote the inclination of the helix to the normal section of the toroid. We have , „_ 2-rra _ a...
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Mathematical and Physical Papers, Volume 1

Sir Joseph Larmor - Electric power - 1929 - 596 pages
...of the inner one of the two is a section of the aperture. regular helix lies on a circular cylinder. Let a be the radius of the circle thus formed by the...helix to the normal section of the toroid. We have 2-na a tan o = -ff-z — = -w > NZ-rrr Nr because 2-rra/N is, as it were, the step of the screw, and...
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