Elias Loomis (August 7, 1811 – August 15, 1889) was an American mathematician.

Life and work

Loomis was born in Willington, Connecticut in 1811. He graduated at Yale College in 1830, was a tutor there for three years, 1833-36 and then spent the next year in scientific investigation in Paris. On his return, Loomis was appointed professor of mathematics in the Western Reserve College, Ohio. From 1844 to 1860 he held the professorship of natural philosophy and mathematics in the University of the City of New York, and in the latter year became professor of natural philosophy in Yale. Professor Loomis published (besides many papers in the American Journal of Science and in the Transactions of the American Philosophical Society) many textbooks on mathematics, including Analytical Geometry and of　the Differential and Integral Calculus, published in 1835.

In 1859 Alexander Wylie, assistant director of London Missionary Press in Shanghai, in cooperation with fellow Chinese scholar Li Shan Lan, translated Elias Loomis's book on Geometry, Differential and Integral Calculus into Chinese. The Chinese text was subsequently translated twice by Japanese scholars into Japanese text and published in Japan. Elias Loomis thus played an important role in the transfer of analytical mathematical knowledge to the Far East.

Great Auroral Exhibition of 1859

In his memoir[1] of Professor Loomis, Professor R. A. Newton summarized Loomis' work on the historical Geomagnetic Storm of 1859.

Closely connected with terrestrial magnetism, and to be considered with it, is the Aurora Borealis. In the week that covered the end of August and the beginning of September, 1859, there occurred an exceedingly brilliant display of the Northern Lights. Believing that an exhaustive discussion of a single aurora promised to do more for the promotion of science than an imperfect study of an indefinite number of them, Professor Loomis undertook at once to collect and to collate accounts of this display. A large number of such accounts were secured from North America, from Europe, from Asia, and from places in the Southern Hemisphere; especially all the reports from the Smithsonian observers and correspondents, were placed in his hands by the Secretary, Professor Henry.
These observations and the discussions of them were given to the public during the following two years, in a series of nine papers in the American Journal of Science.
Few, if any, displays on record were as remarkable as was this one for brilliancy or for geographical extent. Certainly about no aurora have there been collected so many facts. The display continued for a week. The luminous region entirely encircled the North Pole of the earth. It extended on this continent on the 2d of September as far south, as Cuba, and to an unknown distance to the north. In altitude the bases of the columns of light were about fifty miles above the earth's surface, and the streamers shot up at times to a height of five hundred miles. Thus over a broad belt on both continents this large region above the lower atmosphere was filled with masses of luminous material. A display similar to this, and possibly of equal brilliancy, was at the same time witnessed in the Southern Hemisphere.
The nine papers were mainly devoted to the statements of observers. Professor Loomis, however, went on to collect facts about other auroras, and to make inductions from the whole of the material thus brought together. He showed that there was good reason for believing that not only was this display represented by a corresponding one in the Southern Hemisphere, but that all remarkable displays in either hemisphere are accompanied by corresponding ones in the other.
He showed also that all the principal phenomena of electricity were developed during the auroral display of 1859; that light was developed in passing from one conductor to another, that heat in poor conductors, that the peculiar electric shock to the animal system, the excitement of magnetism in irons, the deflection of the magnetic needle, the decomposition of chemical solutions, each and all were produced during the auroral storm, and evidently by its agency. There were also in America effects upon the telegraph that were entirely consistent with the assumption previously made by Walker for England, that currents of electricity moved from northeast to southwest across the country. From the observations of the motion of auroral beams, he showed that they also moved from north-northeast to south-southwest, there being thus a general correspondence in motion between the electrical currents and the motion of the beams.

The following are the nine papers published by Professor Loomis pertaining to the Geomagnetic Storm of 1859. Note that none of the original papers are currently online, as the American Journal of Science for these years is only available on microfilm.

The great auroral exhibition of August 28 to September, 1859.
Am. Jour. Sci. (2), vol. 28, pp. 385-408. November, 1859.
The great auroral exhibition of August 28 to September 4, 1859—2nd article.
Am. Jour. Sci. (2), vol. 29, pp. 92-97. January, 1860.
The great auroral exhibition of August 28 to September 4, 1859—3rd article.
Am. Jour. Sci. (2), vol. 29, pp. 249-266. February, 1860.
The great auroral exhibition of August 28 to September 4, 1859—4th article.
Am. Jour. Sci. (2), vol. 29, pp. 386-399. May, 1860.
The great auroral exhibition of August 28 to September 4, 1859, and the geographical distribution of auroras and thunder storms—5th article.
Am. Jour. Sci. (2), vol. 30, pp. 79-100. July, 1860.
The great auroral exhibition of August 28 to September 4, 1859—6th article.
(Selected from the Smithsonian papers.)
Am. Jour. Sci. (2), vol. 30, pp. 339-361. November, 1860.
The great auroral exhibition of August 28 to September 4, 1859—7th article.
Am. Jour. Sci. (2), vol. 32, pp. 71-84. May, 1861.
On the great auroral exhibition of August 28 to September 4, 1859, and auroras generally—8th article.
Am. Jour. Sci. (2), vol. 32, pp. 318-335. September, 1861.
On electrical currents circulating near the earth's surface and their connection with the phenomena of the aurora polaris—9th article.
Am. Jour. Sci. (2), vol. 34. pp. 34-45. July, 1862.
(On the action of electrical currents and the motion of auroral beams.)

As part of a 2006 review[2] of the Geomagnetic Storm of 1859, M.A. Shea, and D.F. Smart edited a compendium[3] of eight articles published by Elias Loomis in the American Journal of Science from 1859 to 1861. The ninth and final paper was omitted and not referenced. Of the eleven pages in the ninth paper, only half a page deals with the great auroral exhibition of 1859, previously reported by Loomis, while the bulk of the paper deals with auroral events predating 1859.

In the Compendium, for the 5th article in the series, the section on thunderstorms totaling six pages, is omitted with footnotes documenting the removal by the editors. In the citation to the 5th article the page range is given as 79–94, the correct range is 79–100.

The citations for the 3rd and 4th articles gives the page ranges as 249–265 and 386–397; the correct values are 249-266 and 386-399, but the content is complete for both articles in the Compendium.

In a November 21, 1861 paper[4] to the Royal Society Balfour Stewart acknowledged the work of Professor E. Loomis.

It is unnecessary to enter into further particulars regarding this meteor, as the description of it given by observations at places widely apart have been collected together by Professor E. Loomis, and published in a serious of papers communicated to the American Journal of Science and Arts. I shall only add that, both from the European, the American, and the Australian accounts, there appear to have been two great displays, each commencing at nearly the same absolute time, throughout the globe, —the first on the evening of the 28th of August, and the second on the early morning of the 2nd of September, Greenwich time.

Great Auroral Exhibition of 1859, Other Reports

Reports Associated With the Stewart Super Flare

Balfour Stewart reported that the magnetic storm from the Steward Super Flare began at 22:30 GMT on the evening of August 28, 1859 as recorded by self-recording magnetograph at the Kew Observatory. This was equivalent to approximately 17:30 EST and the sun would have been one hour and five minutes from sunset (18:35 EST) on that date in New York City; therefore, conditions would have been impossible for observing the onset of the magnetic storm on the East Coast of the United States, during the period of maximum intensity, and the rest of the country would have been in full sunlight for several more hours. Standardized Time Zones would not be established in the United States until 1883.

* THE AURORA BOREALIS.; THE BRILLIANT DISPLAY ON SUNDAY NIGHT. PHENOMENA CONNECTED WITH THE EVENT.
Mr. Meriam's Observations on the Aurora—E. M. Picks Up a Piece of the Auroral Light.
The Aurora as Seen Elsewhere—Remarkable Electrical Effects.;
New York Time, August 30, 1859, Tuesday; Page 1, 3087 words[5]

The New York Times report on the Stewart Super Flare for August 30, 1859 was on page one, above the fold, upper right corner and two full columns in length. This was the major news story for that date. The later reports on the Carrington Super Flare did not enjoy the same level of coverage, even though some of the displays may have been more spectacular given the timing of the events.

Reports Associated With the Carrington Super Flare

Balfour Stewart reported that the magnetic storm from the Carrington Super Flare began at 05:00 GMT on the morning of September 2, 1859 as recorded by self-recording magnetograph at the Kew Observatory. This was equivalent to approximately midnight 00:00 EST in New York City. In all areas of the United States, not obscured by clouds, viewing conditions would have been ideal while the magnetic storm was at maximum intensity. Note that some locations in the Western United States could have reported events for late in the evening of September 1, 1859.

* AURORA AUSTRALIS.; Magnificent Display on Friday Morning.
Mr. Merlam's Opinions on the Bareul Light—One of his Friends Finds a Place of the Aurora on his Lion-corp.
The Aurural Display in Boston.;
New York Times, September 3, 1859, Saturday; Page 4, 1150 words[6]

The New York Times report from Boston is of particular note because it may provide enough information to calculate the minimum illumination generated by the aurora.

The Auroral Display in Boston[6][7][8]
Boston, Friday, Sept. 2
There was another display on the aurora last night, so brilliant that at about one o'clock ordinary print could be read by the light. The effect continued through this forenoon considerably affecting the working of the telegraph lines. The auroral currents from east to west were so regular that the operators on the Eastern lines were able to hold communication and transmit messages over the line between this city and Portland, the usual batteries being discontinued from the wire. The same effects were experienced upon the Cape Cod and other lines.

One o'clock Boston time on Friday September 2, would have been 6:00 GMT and the self-recording magnetograph at the Kew Observatory was recording the geomagnetic storm, which was then one hour old, at its full intensity; this is amazingly accurate news reporting.

* AURORAL PHENOMENA.; Remarkable Effect of the Aurora Upon the Telegraph Wires.;
New York Times, September 5, 1859, Monday; Page 2, 1683 words[9]

Reports Associated With Both Super Flares

* History, Theory, and Practice of the Electric Telegraph
By George Bartlett Prescott (1860); 468 pages[10]

In George Bartlett Prescott's book,[10] Chapter XIX on Terrestrial Magnetism (pp. 305-332) contains multiple reports of Auroral events disrupting telegraph communications, the times for which are in remarkable good agreement with the times reports by Balfour Stewart for the two magnetic storms between August 28 and September 2, 1859. Detailed descriptions of the events and stations involved are provided in the narratives.

* The Telegraph in America: Its Founders, Promoters and Noted Men
By James D. Reid (1879); 846 pages;[11]
* The Telegraph in America: Its Founders, Promoters and Noted Men
By James D. Reid (1974); ISBN 0405060564; 846 pages;[12]

James D. Reid's book[11][12] while printed in 1879 is not available online because there is modern edition which is out of print but still under copyright. The book is recommended by the author of the report "The Aurora Borealis and the Telegraph".[13]

Writings

See pages i – xxii of The American Journal of Science (1890, volume 39, number 234) for a list of Loomis's publications.[14] Among these are the following:

* The recent progress of astronomy; especially in the United States (1850)
* Elements of Analytical Geometry and of the Differential and Integral Calculus (1851)
* The Elements of Geology Adapted to the Use of Schools and Colleges (1852)
* Elements of Natural Philosophy Designed for Academies and High Schools (1858)
* An Introduction to Practical Astronomy With a Collection of Astronomical Tables (1860)
* Elements of Geometry and Conic Sections (1861)
* Elements of Plane and Spherical Trigonometry (1862)
* Tables of Logarithms of Numbers and of Sines and Tangents (1862)
* A Treatise on Algebra (1868)
* A treatise on meteorology : with a collection of meteorological tables (1868)
* Books by Elias Loomis in the Internet Archive
* Books by Elias Loomis in Google Books
* Papers by Elias Loomis in Google Scholar

References

1. ^ Memoir Elias Loomis 1811-1889. by H. A. Newton, Read Before the National Academy, April 16, 1890
2. ^ The Great Historical Geomagnetic Storm of 1859: A Modern Look Edited by C.R. Clauer and G. Siscoe; Advances in Space Research, Volume 38, Issue 2, Pages 115-388 (2006)
3. ^ Compendium of the eight articles on the “Carrington Event” attributed to or written by Elias Loomis in the American Journal of Science, 1859–1861 by M.A. Shea, and D.F. Smart; Advances in Space Research, Volume 38, Issue 2, 2006, Pages 313-385
4. ^ On the Great Magnetic Disturbance Which Extended from August 28 to September 7, 1859, as Recorded by Photography at the Kew Observatory by Balfour Stewart, Philosophical Transactions of the Royal Society of London, Vol. 151, (1861), pp. 423-430
5. ^ THE AURORA BOREALIS.; THE BRILLIANT DISPLAY ON SUNDAY NIGHT. PHENOMENA CONNECTED WITH THE EVENT. Mr. Meriam's Observations on the Aurora--E. M. Picks Up a Piece of the Auroral Light. The Aurora as Seen Elsewhere--Remarkable Electrical Effects.; New York Time, August 30, 1859, Tuesday; Page 1, 3087 words
6. ^ a b AURORA AUSTRALIS.; Magnificent Display on Friday Morning. Mr. Merlam's Opinions on the Bareul Light--One of his Friends Finds a Place of the Aurora on his Lion-corp. The Aurural Display in Boston.; New York Times, September 3, 1859, Saturday; Page 4, 1150 words
7. ^ Eyewitness reports of the great auroral storm of 1859 Advances in Space Research, Volume 38, Issue 2, 2006, Pages 145-154, Green, et al.
8. ^ The Journal of Education for Upper Canada; The Late Aurora Borealis and the Telegraph 1858, Page 132, Ryerson, et al.
9. ^ AURORAL PHENOMENA.; Remarkable Effect of the Aurora Upon the Telegraph Wires.; New York Times, September 5, 1859, Monday; Page 2, 1683 words
10. ^ a b History, Theory, and Practice of the Electric Telegraph By George Bartlett Prescott (1860); 468 pages
11. ^ a b The Telegraph in America: Its Founders, Promoters and Noted Men By James D. Reid (1879); 846 pages
12. ^ a b The Telegraph in America: Its Founders, Promoters and Noted Men By James D. Reid (1974); ISBN 0405060564; 846 pages
13. ^ "The Aurora Borealis and the Telegraph" By Patti Norton]
14. ^ "Publications of Professor Elias Loomis". The American Journal of Science (J.D. & E.S. Dana) 39 (234): i – xii. 1890. http://books.google.com/?id=BPcQAAAAIAAJ&pg=PA427-IA2&dq=Elias+Loomis.

* This article incorporates text from an edition of the New International Encyclopedia that is in the public domain.