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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. "
Euclid's Elements of geometry, books i. ii. iii. iv - Seite 65
von Euclides - 1862
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Guide to the civil service examinations [by H. White]. By H. White

Henry White - 1856 - 178 Seiten
...it are either two right angles, or are together equal to two right angles. 18 Divide a straight line into two parts, so that the rectangle contained by the whole and ono of the parts shall be equal to the square of the other part. 19 If two circles cut each other,...
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Considerations on the Suggestions of the University Commissioners with ...

Henry Latham - 1857 - 390 Seiten
...through the same point. 3. Shew by diagram that a (b + c} = ab + ac. To divide a given straight line into two parts so that the rectangle contained by...and one of the parts shall be equal to the square of the other part. Give the full construction. 4. Define a decimal fraction. Prove the rule for pointing...
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The elements of algebra

Archibald Montgomerie - 1857 - 118 Seiten
...of sheep, and the price of each. Ans. 100 at 30s. (25.) Divide a given line a, 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. , 3+ ^'5 , 3— 4/5 Ans. a — ^— , and a — ~— . (26.)...
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Skeleton propositions &c. of Euclid, books i and ii, with references ..., Band 2

Euclides - 1858 - 136 Seiten
...ijivru. ihr .«'iíe». o;' the reetnnt/lii e,m be found. BOOK II. 105 PRоP. XI. PRоB. To divide a line into two parts, so that the rectangle contained by...and one of the parts shall be equal to the square of the other part. SoL. 46. I, 10. I, 3. I. Pat i. 2. DEM. 6. II, 47. I, Ax. 3. 1, Dei. 8U. 1. E»....
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Examination papers used at the examinations for direct commissions [&c.].

War office - 1858 - 578 Seiten
...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...
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Gradations in Euclid : books i. and ii., with an explanatory preface [&c ...

Euclides - 1858 - 248 Seiten
...AD, and DE to AB : the figure ABED is the square required. (46. I.) PBOB. 15. To divide a given line, AB, into two parts, so that the rectangle contained by the whole line and one of its parte, AB-BH, Khali be equal to the square of the other part, AH. On AB, by 46....
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Examination papers used at the examinations for admission to the Royal ...

Sandhurst roy. military coll - 1859 - 672 Seiten
...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...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 - 412 Seiten
...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...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 - 336 Seiten
...contained by the two parts, together with the square of the aforesaid part. 8. Divide a given straight line into two parts, so that the rectangle contained by...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
...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 equal to the square on the other part. FG it Upon AB describe the...
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