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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. "
Elements of geometry: consisting of the first four,and the sixth, books of ... - الصفحة 53
بواسطة Euclides - 1842
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Examination papers used at the examinations for direct commissions [&c.].

War office - 1858 - عدد الصفحات: 578
...twice as old as his nephew; what are their respective agesl Euclid. 1. Divide a given straight line into two parts, so that the rectangle contained by the whole and one part, shall be equal to the square of the other part. 2. Upon a given straight line describe the segment...

Return to an Address of the Honourable the House of Commons, Dated 10 ...

1859 - عدد الصفحات: 414
...between the points of section, is equal to the square of half the line. 10. 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. JULIUS CAESAR. 1. Write a short account of the author of the...

Examination papers used at the examinations for admission to the Royal ...

Sandhurst roy. military coll - 1859 - عدد الصفحات: 672
...and parallel 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 angle. Voluntary...

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

Royal college of surgeons of England - 1860 - عدد الصفحات: 332
...of it, the angle contained by these two sides is a right angle. 4. 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. 5. To describe a square that shall be equal to a given rectilineal...

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

Robert Potts - 1860 - عدد الصفحات: 380
...so that the rectangle eontained by the whole and one of the parts, shall be equal to the square on the other part. Let AB be the given straight line. It is required to divide AB into two parts, so that the rectangle contained by the whole line and one of the parts, shall be...

Elements of algebra

Philip Kelland - 1860 - عدد الصفحات: 308
...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 - عدد الصفحات: 260
...Any two sides of a 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 of the...

Examination papers used at the examinations for direct commissions [&c.].

War office - 1861 - عدد الصفحات: 714
...angles. Enunciate the propositions required in the proof. 3. To divide a straight line into two parte so that the rectangle contained by the whole and one of the parts may be equal to the square on the other part. 4. If a straight line touch a circle and from the point...

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

Euclides - 1862 - عدد الصفحات: 140
...half the difference taken from half the sum is equal to the less. 13. 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 a given square. BOOK III. DEFINITIONS. 1. Equal circles are those of which the diameters...

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

Alfred Wrigley - 1862 - عدد الصفحات: 330
...points of contact, and 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...




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