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" 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 up of the whole and that... "
The Elements of Euclid for the Use of Schools and Colleges: Comprising the ... - Side 60
av Euclid, Isaac Todhunter - 1883 - 400 sider
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The Pupil teacher, a monthly educational journal. H. Major, ed

Henry Major
...line thus produced, and the part of it produced, together with the square on half the line bisected, is equal to the square on the straight line which is made up of the half and the part produced. 2. Given a straight line divided as in proposition 11 ; prove that the...
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin SMITH - 1876 - 349 sider
...line thus produced and the part of it produced, together with the square on half the line bisected, M equal to the square on the straight line which is made up of the half and the part produced. At Let the st. line AB be bisected in C and produced to D. Then must rect....
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Elements of geometry, based on Euclid, books i-iii

Edward Atkins - 1876 - 119 sider
...line thus produced and the part of it produced, together with the square on half the line bisected, is equal to the, square on the straight line which is made up cftiie half and the part produced. Let the straight line AB be bisected in C, and produced to D ; AD-DB...
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SYLLABUS OF PLANE GEOMETRY

1876
...several parts into which the other is divided. COR. T. If a straight line is divided into two parts, the rectangle contained by the whole line and one of the parts is equal to the sum of the square on that part and the rectangle contained by the two parts. COR. 2....
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Modern geometry [ed.] with an appendix by W.B. Jack

Richard Wormell - 1876
...AB:BC = AD:DE. PROBLEM XX. To divide a straight line in extreme mean ratio — that is to say, so that the rectangle contained by the whole line and one of the parts shall be equal to the square on the other part. Let AB be the straight line. Construct the square ABDE...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1876 - 403 sider
...other part. Let AB\vt 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 FO CK 1) Upon AB describe the square A CDB ; (I. 46.)...
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Mathematical exercises

Samuel H.. Winter - 1877
...whole line thus produced, and the part produced, together with the square on half the line bisected, is equal to the square on the straight line which is made up of the half and the part produced. 5. The angle at the centre of a circle is double of the angle at the circumference...
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Solutions to the mathematical examination papers set for admission to the ...

D. Tierney - 1877
...line thus produced and the part of it produced, together with the square on half the line bisected, is equal to the square on the straight line which is made up of the half and the part produced. 5. The angle at the centre of a circle is double of the angle at the circumference...
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides - 1878
...and from. (? to D, shew that BGD is a straight line. PROPOSITION VIII. THEOREM. 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 vrith the square on the other part, is equal to the square on the straight line which is made up of...
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Pupil teachers' examination work, by W.P. Warburton, F. [or rather, J.] P ...

William Parsons Warburton - 1878
...line thus produced, and the part of it produced, together with the square of half the line bisected, is equal to the square on the straight line which is made up of the half and the part produced. ANSWER. — Enunciation. (\.) Let the straight line AB, be bisected in...
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