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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

Annual Report of the Chief Superintendent of Education

1885
...equal to one another, and that the diagonal bisects it. 6. Divide a straight line 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. Female Candidates for Class I. will omit tit* 1st ami...

The Elements of Geometry

George Bruce Halsted - 1886 - 366 σελίδες
...AG* = GF* = GH* = AH* + AG*, by 243 J 112 PROBLEM II. 313. To divide a given sect into two parts so that the rectangle contained by the whole and one of the parts shall be equal to the square on the other part. Jf X GIVEN, the sect AB. REQUIRED, to find a point...

Calendar of Dalhousie College and University

Dalhousie University - 1887
...section, is equal to the square on half the line. 10. 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. 11. Tf a straight line touch a circle, and from the point...

Annual Report

Canada. Department of the Interior - 1888
...square on the line between the points of section. 7. Divide a given straight line into two parts, eo that the rectangle contained by the whole and one of the parts, shall be equal to the square on the other part. 8. Describe a square that shall be equal to a given...

Annual Report of the Schools of New Brunswick

New Brunswick. Board of Education - 1889
...triangle, and have one of its angles, equal to a given angle. 4. Divide a given line 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. 5. Find a line the square on which shall be equal to...

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

E. J. Brooksmith - 1889
...together with the square on the aforesaid part. 5. 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. Describe a right-angled triangle sucl1 that the rectangle...

Report of the Secretary for Public Instruction ...

Queensland. Department of Public Instruction - 1890
...necessary in each of the following problems: — (a) To divide a given straight line into two parts, so that the rectangle contained by the whole and one of the parts shall be equal to the square on the other part. (6) To describe a square that shall be equal to a given...

Mathematical Papers for Admission Into the Royal Military College for the ...

Eldred John Brooksmith, Robert Moir Milne - 1890 - 132 σελίδες
...oz. avoirdupois. II.— EUCLID AND TRIGONOMETRY. 1. Divide a given straight line 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. Solve this problem also algebraically. If the rectangle...

The Educational Record of the Province of Quebec: The Medium ..., Τόμος 11

1891
...with the square on the other part. Prove this proposition. 8. Divide a 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. 9. If a straight line be divided into any two parts,...

Plane and Solid Geometry

Seth Thayer Stewart - 1891 - 406 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...




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