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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. "
The first six books of the Elements of Euclid, with numerous exercises - Σελίδα 42
των Euclides - 1853 - 147 σελίδες
Πλήρης προβολή - Σχετικά με αυτό το βιβλίο

A Text-book of Euclid's Elements for the Use of Schools, Βιβλίο 1

Euclid - 1904 - 456 σελίδες
...QB + 4PB2 n. 4, Cor. 2. 150 EUCLID-S ELEMENTS. PROPOSITION 11. PROBLEM. To 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. Let AB be the given straight line. It is required...

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

United States. Bureau of Education - 1907 - 722 σελίδες
...two parts, together with 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...

Annual Report of the Commissioners ..., Τόμος 73

1907
...between the poiuts of 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 of the Association of Ontario Land Surveyors, Τεύχος 22

Association of Ontario Land Surveyors - 1907
...right angle. 5. To divide a given straight line into two parts so that the rectangle contained under the whole and one of the parts shall be equal to the square on the other part. 6. The sum of the perpendiculars let fall from any point within an equilateral triangle...

Report of the Federal Security Agency: Office of Education, Τόμος 1

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

Books 3-9

Euclid - 1908
...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...

Introduction and books 1,2

Euclid - 1908
...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...

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

Royal Military Academy, Woolwich - 1909 - 444 σελίδες
...and 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...

Journal of Education

1911
...for 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...




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