Søk Bilder Maps Play YouTube Nyheter Gmail Disk Mer »
Logg på
Bøker Bok
" 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. "
The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ... - Side 62
av Robert Simson - 1806 - 518 sider
Uten tilgangsbegrensning - Om denne boken

Mathematical Thought from Ancient to Modern Times: Volume 1

Morris Kline - 1990 - 434 sider
...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)...
Begrenset visning - Om denne boken

The Architecture of Bridge Design

David Bennett - 1997 - 212 sider
...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...
Begrenset visning - Om denne boken

De Arte Mensurandi

Johannes de Muris, Hubertus Lambertus Ludovicus Busard - 1998 - 398 sider
...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...
Begrenset visning - Om denne boken

The Mathematics of Measurement: A Critical History

John J. Roche - 1998 - 364 sider
...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,...
Begrenset visning - Om denne boken

Mathematical Expeditions: Chronicles by the Explorers

Reinhard Laubenbacher, David Pengelley - 2000 - 292 sider
...Hint: See Figure 5.6. Exercise 5.9: Proposition 1 1 in Book II states: 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. Which type of quadratic equation can be solved...
Begrenset visning - Om denne boken

Greek Science of the Hellenistic Era: A Sourcebook

Georgia Lynette Irby-Massie, Paul Turquand Keyser - 2002 - 440 sider
...proportion used in the Parthenon, which we call (sqrt(5)+1)/2 = 1.618...] To cut a given straight line so that the rectangle contained by the whole and one of the segments is equal to die square on the remaining segment. Let AB be die given straight line (Figure...
Begrenset visning - Om denne boken

Mathematics and the Divine: A Historical Study

Teun Koetsier, Luc Bergmans - 2004 - 716 sider
...that this proportion occurs: in Book II, prop. 11, Euclid instructs us 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". 10 This implies that the division of AB...
Begrenset visning - Om denne boken

A History of Abstract Algebra

Israel Kleiner - 2007 - 175 sider
...algebraically as (a + b)2 — a2 + 2ab + b2. Proposition II. 1 1 states: "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." It asks, in algebraic language, to solve...
Begrenset visning - Om denne boken




  1. Mitt bibliotek
  2. Hjelp
  3. Avansert boksøk
  4. Last ned ePub
  5. Last ned PDF