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" 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 the other part. "
Military examinations. Mathematical examination papers, set for entrance to ... - Seite 34
von Woolwich roy. military acad, Walter Ferrier Austin - 1880
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Examination papers used at the examinations for direct commissions [&c.].

War office - 1858 - 578 Seiten
...contained by the parts. If the line be bisected, what do the rectangles contained by the parts become ? 4. Divide a given straight line into two parts, so that the rectangle contained by the whole line and one of the parts shall be equal to the square of the other part. NATURAL SCIENCES. By MAJOR-GEN....
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Examination papers used at the examinations for admission to the Royal ...

Sandhurst roy. military coll - 1859 - 672 Seiten
...extremities of equal and parallel straight lines toward the same parts are themselves equal. 3. To divide a straight line into two parts so that the rectangle...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 Portion. 2. To draw a straight...
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Return to an Address of the Honourable the House of Commons, Dated 10 ...

1859 - 414 Seiten
...square of the line 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...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 play Julius Ceesar....
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The examination papers as set for the preliminary literary examination of ...

Royal college of surgeons of England - 1860 - 332 Seiten
...equal to the rectangle contained by the two parts, together with the square of the aforesaid part. 8. Divide a given straight line into two parts, so that...and one of the parts shall be equal to the square of the other part. 9. Show that the diagonals of a rhombus bisect each other at right angles. 10. Construct...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1860 - 380 Seiten
...double of the squares on AC, CD. "Wherefore, if a straight line, &e. QED * PROPOSITION XI. PROBLEM. To divide a given straight line into two parts, 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...
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Elements of algebra

Philip Kelland - 1860 - 308 Seiten
...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...
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Examination papers used at the examination of candidates for appointment to ...

War office - 1861 - 260 Seiten
...No. II. REV. WN GRIFFIN, MA 1. Any two sides of a triangle are together greater than the third. 2. To divide a given straight line into two parts so that...shall be equal to the square on the other part. If the given line be a foot long, compute the lengths of the parts to the nearest hundredth part of an inch....
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Examination papers used at the examinations for direct commissions [&c.].

War office - 1861 - 714 Seiten
...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...
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Collection of Examples and Problems in Pure and Mixed Mathematics: With ...

Alfred Wrigley - 1862 - 330 Seiten
...by the chord joining the points of contact, and the diameter drawn from one of these points. 71. To divide a given straight line into two parts, so that...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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The school Euclid: comprising the first four books, by A.K. Isbister

Euclides - 1862 - 172 Seiten
...straight line, &c. QED PROP. XI.— PROBLEM. To divide a given straight line into two parts, so that tlie rectangle contained by the whole and one of the parts shall be equal to the square of the other part. (References— Prop. i. 3, 10, 46, 47 ; Ii. 6.) Let AB be the given straight line....
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