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" AB into two parts, so that the rectangle contained by the whole line and one of the parts, shall be equal to the square on the other part. "
Elements of Geometry: Containing the First Six Books of Euclid, with a ... - Página 58
por John Playfair - 1847 - 317 páginas
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Examination papers used at the examinations for admission to the Royal ...

Sandhurst roy. military coll - 1859 - 672 páginas
...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 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...
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Return to an Address of the Honourable the House of Commons, Dated 10 ...

1859 - 414 páginas
...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 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...
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The examination papers as set for the preliminary literary examination of ...

Royal college of surgeons of England - 1860 - 332 páginas
...described upon the other two sides of it, the angle contained by these two sides is a right angle. 4. To divide a given straight line into two parts, so...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...
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Elements of algebra

Philip Kelland - 1860 - 308 páginas
...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...parts may be equal to the square of the other part. (Euclid, 2, 11). 20. To divide a given line (a) into two such parts that the square described on the...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1860 - 380 páginas
...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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Examination papers used at the examination of candidates for appointment to ...

War office - 1861 - 260 páginas
...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...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...
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Examination papers used at the examinations for direct commissions [&c.].

War office - 1861 - 714 páginas
...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 of contact a straight line...
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Collection of Examples and Problems in Pure and Mixed Mathematics: With ...

Alfred Wrigley - 1862 - 330 páginas
...contained 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...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 a straight line, which shall touch...
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Euclid's Elements of geometry, books i. ii. iii. iv

Euclides - 1862 - 140 páginas
...straight line into two parts, so that the rectangle contained by them may be the greatest possible. 2. Divide a given straight line into two parts, so that the rectangle contained by them may be equal to a given square. 3. Produce a given straight line, so that the rectangle contained...
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Responsions

University of Oxford - 1863 - 316 páginas
...Parallelograms upon the same base and between the same parallels are equal to one another. 7. Divide a straight line into two parts, so that the rectangle contained by the whole and one part may be equal to the square on the other part. 8. The three interior angles of every triangle are...
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