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" Sir David Brewster's Translation." In the same article DeMorgan gives utterance to a difficulty experienced by young students, which has been referred to by many writers in different countries, the reductio ad absurdum. DeMorgan says : " The most serious... "
School Science and Mathematics - Page 348
1911
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Mathematical Questions and Solutions, from the "Educational Times ..., Volume 29

W. J. C. Miller - Mathematics - 1878 - 120 pages
...hence we have R<r = — , therefore 4Д2 = abca. 4Д 132. CONTRAPOSITION : BY ALEXANDER J. ELLIS, FRS In the Syllabus of the Association for the Improvement of Geometrical Teaching (p. 4) we read : — "In the typical Theorem, If A is B, then C is D (i.); the hypothesis is that A...
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Lectures on Teaching Delivered in the University of Cambridge During the ...

Sir Joshua Girling Fitch - Teaching - 1881 - 500 pages
...they are worth nothing. And in the new revolt against the long supremacy of Euclid, as represented in the Syllabus of the "Association for the Improvement of Geometrical Teaching," the one danger we have to fear is that the demonstrative exercises will be cut up into portions too...
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Lectures on Teaching Delivered in the University of Cambridge During the ...

Sir Joshua Girling Fitch - Teaching - 1886 - 408 pages
...they are worth nothing. And in the new revolt against the long supremacy of Euclid, as represented in the Syllabus of the " Association for the Improvement of Geometrical Teaching," the one danger we have to fear is that the demonstrative exercises will be cut up into portions too...
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Geometry in the Secondary School

James Wallace MacDonald - Geometry - 1889 - 156 pages
...they are worth nothing. And in the new revolt against the long supremacy of Euclid, as represented in the Syllabus of the 'Association for the Improvement of Geometrical Teaching/ the one danger we have to fear is that the demonstrative exercises will be cut up into portions too...
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The American Mathematical Monthly: The Official Journal of the ..., Volume 17

Electronic journals - 1910 - 308 pages
...modern works on solid geometry, particularly that of Legendre, which the English reader will find.in Sir David Brewster's Translation." In the same article...1849, page 20, as follows: "If the study of Euclid have been almost abandoned on the Continent, and have declined in England, it is because his more ardent...
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The Contents of the Fifth and Sixth Books of Euclid

Euclid, Micaiah John Muller Hill - Euclid's Elements - 1900 - 165 pages
...sometimes attempted. This is to insist on the mastering of the Fifth Book, expressed in modern form as in the Syllabus of the Association for the Improvement of Geometrical Teaching, before commencing the Sixth Book. But it is far too difficult for all but the best pupils, and even...
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The American Mathematical Monthly: The Official Journal of the ..., Volume 17

Electronic journals - 1910 - 268 pages
...was Augustus DeMorgan. His articles published in the Quarterly Journal of Education, in 1831, 1832, 1833, display a pedagogical insight which would have...1849, page 20, as follows: "If the study of Euclid have been almost abandoned on the Continent, and have declined in England, it is because his more ardent...
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Journal of Proceedings and Addresses of the ... Annual Meeting Held at ...

National Education Association of the United States - Education - 1911 - 1200 pages
...the credit of teachers be it said, that the fifth book was quite generally omitted. But De Morgan's activity in this line did not end here. In 1836 he...of modifying the text of Euclid is brought out by De Morgan in the Companion to the British Almanac of 1849, p. 20, as follows: "If the study of Euclid...
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Proceedings, Abstracts of Lectures and a Brief Report of the Discussions of ...

National Education Association of the United States - Education - 1911 - 1196 pages
...published The Connexion of Number and Magnitude; An Attempt to Explain the Fifth Book of Euclid. For^fifty years this tract was not duly appreciated; later it...of modifying the text of Euclid is brought out by De Morgan in the Companion to the British Almanac of 1849, p. 20, as follows: "If the study of Euclid...
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Final Report of the National Committee of Fifteen on Geometry Syllabus

National Education Association of the United States. National Committee of Fifteen on Geometry Syllabus - Geometry - 1912 - 100 pages
...book of the ' Elements,' we recommend the teacher to substitute for it by the common arithmetical L notions of proportion. Admitting that this is not...the " Companion to the British Almanac " of 1849, PaSe 2O, as follows : " If the study of Euclid has been almost abandoned on the continent, and has...
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