Books Books 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 ... - Page 60
by Robert Simson - 1806 - 518 pages ## Report of the Commissioner of Education Made to the Secretary of ..., Volume 1

...squares on the 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 ..., Volume 73

1907
...square of the line 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, Volume 1

...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... ## Responsions: Papers in Stated Subjects-exclusive of Books-, 1901-1906

University of Oxford - 1907 - 152 pages
...produced in 0. If CG is joined, prove that the triangles ABF &nd CFG are equal in area. 6. (b) Divide a given straight line into two parts so that the rectangle contained by those parts may be equal to the square on a given straight line, the length of the second given line... ## Annual Report of the Association of Ontario Land Surveyors, Issue 22

...angles. 4. Inscribe an equilateral triangle in a given circle; trisect a 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... ## Report of the Commissioner of Education Made to the Secretary of ..., Volume 1

...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 - Mathematics, Greek - 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 - Mathematics, Greek - 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... ## The Dublin University Calendar, Volume 1

...another the angle subtended by the first is greater than that subtended by the second. 5. Divide a line into two parts so that the rectangle contained by the whole line and one part shall be equal to the square of the other part. 6. Prove that the rectangle contained... 