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" AB be the given straight line ; it is required to divide it into two parts, so that the rectangle contained by the whole, and one of the parts, shall be equal to the square of the other part. "
The First Six Books: Together with the Eleventh and Twelfth - Σελίδα 62
των Euclid - 1781 - 520 σελίδες
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Plane and Solid Geometry

Seth Thayer Stewart - 1891 - 428 σελίδες
...given square, and their rectangle, a given rectangle. 19. Divide a straight line into two parts, so that the rectangle contained by the whole and one of the parts may equal the square of a line given less than the line to be divided. 20. Divide a given line into...

Exercises in Stewart's Plane and Solid Geometry: With Solutions for Teachers

Seth Thayer Stewart - 1893 - 262 σελίδες
...Segments of diameter are sides of required CD. (P. x.) i9. Divide a straight line into two parts, so that the rectangle contained by the whole and one of the parts may equal the square of a line given less than the line to be divided. I. Erect a .L at one end of...

Examination Papers for Science Schools and Classes

Great Britain. Education Department. Department of Science and Art - 1894 - 894 σελίδες
...the dimensions of the room. (25.) B. 27. Show how 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 on the other part. Given a line AB, show how to produce it to a point P,...

The Manitoba School Question

Frederick Coate Wade - 1895 - 168 σελίδες
...to the difference between two given squares. 5. 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 on the other part. If one side of a triangle be bisected, the sum of the...

Report of the Council of Public Instruction of the North-West Territories of ...

Northwest Territories Council of Public Instruction - 1897 - 628 σελίδες
...Deduce II. 7. from propositions II. 4. and II. 3. 6. 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 on the other part. II. 11. 7. (a) Prove that if two circles touch one another...

Annual Report of the Commissioners ..., Τόμος 73

1907 - 608 σελίδες
...section, is equal to the square of half the line. 4. 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. SECTION B. 5. Jf one angle of a triangle be equal to the sum...

Annual Report, Τόμος 1

United States. Office of Education - 1907 - 720 σελίδες
...twice the rectangle contained by the two parts. 8. Divide a given straight line into two parta, so that the rectangle contained by the whole and one of the parts may be equal to the square on the other part. The following is a list of the names of the Rhodes scholars...

Report of the Commissioner of Education Made to the Secretary of ..., Τόμος 1

United States. Bureau of Education - 1907 - 724 σελίδες
...twice the rectangle contained by (lie two parts. 8. 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 on the other part. The following is a list of the names of the Rhodes scholars...

Books 3-9

Euclid - 1908 - 456 σελίδες
...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...

Special Reports on Educational Subjects, Τόμοι 26-27

Great Britain. Board of Education - 1912 - 1044 σελίδες
...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...




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