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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 - Side 65
av Euclides - 1862
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Elements of algebra

Philip Kelland - 1860 - 308 sider
...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 sider
...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...parts 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...
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Examination papers used at the examinations for direct commissions [&c.].

War office - 1861 - 714 sider
...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 sider
...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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Responsions

University of Oxford - 1863 - 316 sider
...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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Report on the examination for admission to the Royal military academy at ...

Woolwich roy. military acad - 1864 - 588 sider
...one of the angles of an equilateral triangle. 8. Draw a straight line 2'76 inches long, and divide it into two parts, so that the rectangle contained by...and one of the parts shall be equal to the square of the other part. FREE-HAND DRAWING. REV. W. KINGSLBY, BD [NB — The Drawing must be entirely Free-hand;...
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Guide to the Civil service

Henry White - 1864 - 156 sider
...two parts, together with twice the rectangle contained by the parts. 5. 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. 6. Draw a straight line from a given point, either without or in the circumference,...
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The school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 1864 - 448 sider
...one of the parts, shall be equal to the square oii 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. c KD Upon AB describe the...
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The College Euclid: Comprising the First Six and the Parts of the Eleventh ...

Euclides - 1865 - 402 sider
...the other part. (References — Prop. 1 3, 10, 46, 47 ; ii. 6.) Let AB be the given straight line. It is required to divide AB into two parts, so that...and one of the parts shall be equal to the square of the other part CONSTRUCTION Upon AB describe the square ABDC ; (i. 46) bisect AC in E, (i. 10) and...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson ...

Robert Potts - 1865 - 528 sider
...one of the parts, shall be equal to the square on the otlier 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 tho parts, shall bo equal to thu square on tho other part. Upon AB describe the square...
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