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" To divide a given straight line into two parts, so that the rectangle contained by the whole, and one of the parts, may be equal to the square of the other part. "
Elements of geometry, based on Euclid, books i-iii - Page 71
by Edward Atkins - 1876 - 119 pages
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Mathematics: People, Problems, Results, Volume 3

Douglas M. Campbell, John C. Higgins - Mathematics - 1984 - 324 pages
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Annual Report

Saskatchewan. Department of Education - Education - 1910 - 260 pages
...sides, prove that the square on the longer diagonal is three times the square on the shorter. 4. (a) To divide a given straight line into two parts, so...rectangle contained by the whole and one of the parts may be equal to the square on the other part. II. 11. (6) Divide a given straight line externally in...
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The Historical Roots of Elementary Mathematics

Lucas Nicolaas Hendrik Bunt, Phillip S. Jones, Jack D. Bedient - Mathematics - 1988 - 342 pages
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Mathematical Thought from Ancient to Modern Times: Volume 1

Morris Kline - Mathematics - 1990 - 434 pages
...EUCLID AND APOLLONIUS H D Figure 4. 10 Figure 4. 11 Proposition 1 1 . To cut a given straight line so that the rectangle contained by the whole and one of the segments is equal to the square on the remaining segment. This requires that we divide AB (Fig. 4.10)...
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Rabīndra-nandanatattva

Bimalakumāra Mukhopādhyāẏa - 1991 - 604 pages
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The Architecture of Bridge Design

David Bennett - Bridges - 1997 - 212 pages
...beauty. It was neatly summarised by Euclid in two of his propositions: "to cut a given straight line so that the rectangle contained by the whole and one of the segments is equal to the square m the remaining segment" and "to cut a given finite line in extreme...
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Symbols, Impossible Numbers, and Geometric Entanglements: British Algebra ...

Helena M. Pycior - Biography & Autobiography - 1997 - 396 pages
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The Mathematics of Measurement: A Critical History

John J. Roche - Mathematics - 1998 - 364 pages
...Euclid book II, proposition 1 1 is an example of a construction problem: To cut a given straight line so that the rectangle contained by the whole and one of the segments is equal to the square on the remaining segment'. Heath points out24 that this is equivalent,...
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De Arte Mensurandi

Johannes de Muris, Hubertus Lambertus Ludovicus Busard - History - 1998 - 398 pages
...radius of the circle (Campanus IV. 15 Porism). Prop. 3 reads as follows: To cut a given straight line so that the rectangle contained by the whole and one of the segments is equal to the square on the remaining segment (Campanus 11.11). From Prop. 4: If the radius...
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Proportion: Science, Philosophy, Architecture

Richard Padovan - Architecture - 1999 - 404 pages
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