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" Iff a straight line be divided into any two parts, four times the rectangle contained by the whole line, and one of the parts, together with the square of the other... "
Arithmetic, algebra, differential and integral calculus, by W. Rutherford ... - Página 153
por Royal Military Academy, Woolwich - 1853
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Euclid's Elements of geometry, the first four books, by R. Potts. Corrected ...

Euclides - 1864
...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 OKD Upon AB describe the square A CDB; (l. 46.) bisect AC in E, (l. 10) and join...
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The school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 1864
...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 square A CSB; (i. 46.) bisect AC in E, (i. 10 ) and join...
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Report on the examination for admission to the Royal military academy at ...

Woolwich roy. military acad - 1864
...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 must be entirely Free-hand; no instrument...
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Guide to the Civil service

Henry White - 1864
...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 in the circumference, which shall touch...
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The College Euclid: Comprising the First Six and the Parts of the Eleventh ...

Euclides - 1865
...the square of the other part. Prop. 8. If a straight line be divided into any two parts, four times the rectangle contained by the whole line, and one of the parts, together with the square of the other part, is equal to the square of the straight line, which is made...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1867 - 400 páginas
...line &c. QED B t> PROPOSITION 8. THEOREM. If a straight line be divided into any two parti, four times the rectangle contained by the whole line and one of the parts, together with the square en the other part, is equal to the square on the straight line which is made...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1868 - 410 páginas
...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. FQ Upon AB describe the square A CDB ; (I. 46.) bisect AC in E, (I. 10) and join...
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An Elementary Course of Plane Geometry

Richard Wormell - 1868 - 261 páginas
...parts, which shall have to each other a given ratio. jo. To divide a line into two parts, such that a rectangle contained by the whole line and one of the parts shall be equal to the other part. 1 1 . Show how to reduce a drawing — 1st. By the method of parallels. 2nd. By an angle...
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Annual Report

1868
...10 3. To 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 25 4. In every triangle, the square of the side subtending any of the acute angles is less than the...
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Report of the commissioners, Volumen7

Schools inquiry commission - 1868
...double of the side A. 15 3. If a straight line be divided into any two parts : then the squares of the whole line and one of the parts shall be equal to twice the rectangle contained by the whole and that part together with the square of the other part....
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