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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 - 1762 - 466 σελίδες
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Examination papers used at the examinations for admission to the Royal ...

Sandhurst roy. military coll - 1859 - 672 σελίδες
...straight lines toward the same parts are themselves equal. 3. To 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 on the other part. 4. In a circle the angle in a semicircle is a right...

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

Royal college of surgeons of England - 1860 - 332 σελίδες
...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...

Elements of algebra

Philip Kelland - 1860 - 308 σελίδες
...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...

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

War office - 1861 - 260 σελίδες
...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 - 140 σελίδες
...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 - 330 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 - 316 σελίδες
...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...

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

Woolwich roy. military acad - 1864 - 588 σελίδες
...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...

Guide to the Civil service

Henry White - 1864 - 156 σελίδες
...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...

Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson ...

Robert Potts - 1865 - 528 σελίδες
...straight liue, &c. QED PROPOSITION XI. PROBLEM. To divitfe 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 otlier part. Let AB be the given straight line. It is required...




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