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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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Elements of algebra

Philip Kelland - 1860
...together. Eequired their rates of running. 19. To divide a line 12 inches long into two such parts that the rectangle contained by the whole and one of the parts may be equal to the square of the other part. (Euclid, 2, 11). 20. To divide a given line (a) into...

The examination papers as set for the preliminary literary examination of ...

Royal college of surgeons of England - 1860
...parallelograms about the diameter of a square are squares. 8. Divide a given straight line into two such parts, that the rectangle contained by the whole and one of the parts shall be equal to the square of the other part. 9. If the middle points of the sides of a given equilateral...

Examination papers used at the examination of candidates for appointment to ...

War office - 1861
...triangle are together greater than the third. 2. 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. If the given line be a foot long, compute the lengths...

Euclid's Elements of geometry, books i. ii. iii. iv

Euclides - 1862
...Given. — Let AB be the given straight line. Sought. — It is required to divide AB 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. Construction. — 1. Upon AB describe the square ABDC....

Collection of Examples and Problems in Pure and Mixed Mathematics: With ...

Alfred Wrigley - 1862 - 294 σελίδες
...the diameter drawn from one of these points. 71. 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 a given line, which is less than the line to be divided. 72. To draw...

Responsions

University of Oxford - 1863
...side of the base shall be equal to one another. 3. 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. 4. The opposite sides and angles of a parallelogram are...

Guide to the Civil service

Henry White - 1864
...with twice the rectangle contained by the parts. 5. 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. 6. Draw a straight line from a given point, either...

Report on the examination for admission to the Royal military academy at ...

Woolwich roy. military acad - 1864
...an equilateral triangle. 8. Draw a straight line 2'76 inches long, and 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. FREE-HAND DRAWING. REV. W. KINGSLBY, BD [NB — The...

The college Euclid: comprising the first six and the parts of the eleventh ...

Euclides - 1865
...46, 47 ; ii. 6.) Let AB be the given straight line. It is required to divide AB 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 CONSTRUCTION Upon AB describe the square ABDC ; (i....

The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1867 - 400 σελίδες
...straight line &c. QED H PROPOSITION 11. PROBLEM. 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. Let AB be the given straight line : it is required to...




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