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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
Πλήρης προβολή - Σχετικά με αυτό το βιβλίο

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

Seth Thayer Stewart - 1893 - 225 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
...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 - 122 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
...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...

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

United States. Bureau of Education - 1907
...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, Τόμος 1

United States. Office of Education - 1907
...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...

Annual Report of the Commissioners ..., Τόμος 73

1907
...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...

Books 3-9

Euclid - 1908
...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...

The Dream of the West, Pt II, Μέρος 2

Brian Lasater - 2008 - 600 σελίδες
...which is a variation on (a + b)(a - b) = a2 -- b2. Theorem 7 (II, 11) To cut a given straight line so that the rectangle contained by the whole and one of the parts is equal to the square of the other. Let the given line be AB. The problem is to find a point H on...
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Pass school, group A (-D).

Oxford univ, exam. papers, 2nd publ. exam - 1884
...between the same parallels, are equal to one another. 9. 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. 10. In a circle the angle in a semicircle is a right...




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