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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 Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ... - Σελίδα 54
των Robert Simson - 1781 - 466 σελίδες
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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...

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...

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...

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...

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...

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...

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,...




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