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; viz. the first six books, together with the eleventh ... - Side 52
av Euclides - 1814
Uten tilgangsbegrensning - Om denne boken

Books 3-9

Euclid - 1908 - 456 sider
...Pythagoreans. The construction of this triangle depends upon n. n, or the problem of dividing a straight line so that the rectangle contained by the whole and one of the parts is equal to the square on the other part. This problem of course appears again in Eucl. vi. 30 as the...
Uten tilgangsbegrensning - Om denne boken

Introduction and books 1,2

Euclid - 1908 - 550 sider
...square on the remaining segment. Let AB be the given straight line ; thus it is required to cut AB so that the rectangle contained by the whole and one of the segments is equal to the square on the remaining segment. For let the square ABDC be described on AB...
Uten tilgangsbegrensning - Om denne boken

Mathematical Papers for Admission Into the Royal Military Academy and the ...

Royal Military Academy, Woolwich - 1909 - 444 sider
...having a given area, that which has the least perimeter it isosceles. 3. Divide a given straight line into two parts so that the rectangle contained by the whole and one part may be equal to the square on the other part. If the line be divided so that nine times the rectangle...
Uten tilgangsbegrensning - Om denne boken

Journal of Education

1911 - 1332 sider
...the doctor. GEOMETRY.— XI. 9 TO 11 AM, WEDNESDAY, STH JULY, 1911. 1. Divide a given straight line into two parts so that the rectangle contained by the whole and one part may be equal to the square on the other part. 2. If a straight line is divided internally in medial...
Uten tilgangsbegrensning - Om denne boken

Special Reports on Educational Subjects, Volumer 26-27

Great Britain. Board of Education - 1912 - 1048 sider
...middle points of BC, B'C', respectively, prove that AU is less than A'O1. 2. Divide a straight line so that the rectangle contained by the whole and one of the parts shall be equal to the square on the remaining part. Prove that the difference of the squares on the whole and on the remaining part...
Uten tilgangsbegrensning - Om denne boken

The Teaching of Mathematics in the United Kingdom

Great Britain. Board of Education - 1912 - 632 sider
...used.) 1. Prove that the diagonals of a parallelogram bisect one another. 2. Divide a straight line so that the rectangle contained by the whole and one of the parts shall be equal to the square on the remaining part. Prove that the difference of the squares on the whole and on the remaining part...
Uten tilgangsbegrensning - Om denne boken

Manual of Drawing and Surveying: Designed Especially for the Use of Students ...

F. A. Brining, D. N. Avasia - 1913 - 282 sider
...number of equal parts a given straight line which is too short to admit of distinct divisions. Let AB be the given straight line. It is required to divide it into 5 equal parts. At A erect a perpendicular AC, and on AC set off as many equal distances as there are...
Uten tilgangsbegrensning - Om denne boken

Robert of Chester's Latin translation of the Algebra of al-Khowarizmi

Muḥammad ibn Mūsá Khuwārizmī - 1915 - 198 sider
...square on the remaining segment. " Let AB be the given straight line ; thus it is required to cut AB so that the rectangle contained by the whole and one of the segments is equal to the square on the remaining segment. 1 References and citations from the Elements...
Uten tilgangsbegrensning - Om denne boken

Dynamic Symmetry: The Greek Vase

Jay Hambidge - 1920 - 212 sider
...(who flourished about 300 BC), the following propositions occur: (i) "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" (Book II, proposition II); (2) "To cut a...
Uten tilgangsbegrensning - Om denne boken

History of Mathematics, Volum 2

David E. Smith - 1958 - 756 sider
...also gives in the Elements such geometric problems as the following : To cut a given straight line so that the rectangle contained by the whole and one of the segments shall be equal to the square on the remaining segment.3 This may be represented algebraically...
Begrenset visning - Om denne boken




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