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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 ... - Page 53
by Euclides - 1842
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The school Euclid: comprising the first four books, by A.K. Isbister

Euclides - 1862 - 172 pages
...finite straight line, that is, to divide it into two equal parts. (References — Prop. L 1, 4, 9.) Let AB be the given straight line. It is required to divide AB into two equal parts. «- B u CONSTRUCTION Upon the straight line AB describe the equilateral triangle...
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Responsions

University of Oxford - Education, Higher - 1863 - 316 pages
...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 pages
...equal to 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 the whole 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...
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Guide to the Civil service

Henry White - 1864 - 156 pages
...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 the whole 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...
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The school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 1864 - 448 pages
...so that the rectangle cnntnined by the whole and 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...
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Euclid's Elements of geometry, the first four books, by R. Potts. Corrected ...

Euclides - 1864 - 262 pages
...so that the rectangle contained 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...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson ...

Robert Potts - 1865 - 528 pages
...the rectangle contained by the whole and 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...
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The College Euclid: Comprising the First Six and the Parts of the Eleventh ...

Euclides - 1865 - 402 pages
...finite straight line, that is, to divide it into twu equal parts. (References — Prop. L 1, 4, 9.) Let AB be the given straight line. It is required to divide AB into two equal parts. D CONSTRUCTION Upon the straight line AB describe the equilateral triangle...
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Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - Geometry - 1855 - 350 pages
...so OB. PROP. X. PROB. To bisect a given finite straight line, that is, to divide it into two equal part*. Let AB be the given straight line ; it is required to divide it into two equal parts. Describe (1. 1.) upon it an equilateral triangle ABC, and bisect (9. 1.) the angle ACB...
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The Civil service year book and official calendar

1884 - 266 pages
...bisected at right angles by the straight line joining their centres. 3. 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 of the other part. 4. The angles in the same segment of a circle are equal to one...
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