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" If two straight lines cut one another within a circle, the rectangle contained by the segments of one of them, is equal to the rectangle contained by the segments of the other. "
Military examinations. Mathematical examination papers, set for entrance to ... - Seite 18
von Woolwich roy. military acad, Walter Ferrier Austin - 1880
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The Madras University Calendar, Band 1

University of Madras - 1876 - 580 Seiten
...centre, cut one another, but not at right angles, the rectangle contained by the segments of one of them shall be equal to the rectangle contained by the segments of the other Il. (a) Describe a circle about a given triangle. (6) Describe a circle which shall pass through a...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1876 - 446 Seiten
...off, containing an angle equal to the given angle DQEF PROPOSITION XXXV. THEOREM. Iftim ttraight linet cut one another within a circle, the rectangle contained by the segments of one of them, is equal to tlte rectangle contained by the tegments of the other. Let the two straight...
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Elements of geometry, based on Euclid, books i-iii

Edward Atkins - 1876 - 130 Seiten
...straight lines within a circle cut one another, the rectangle contained by Hie segments of one of them shall be equal to the rectangle contained by the segments of the other. Let the two straight lines AC, BD cut one another in the point E, within the circle ABCD. The rectangle...
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Mathematical Exercises ...: Examples in Pure Mathematics, Statics, Dynamics ...

Samuel H. Winter - 1877 - 452 Seiten
...circle is double of the angle at the circumference on the same base that is on the same arc. 6. If two straight lines cut one another within a circle,...such that the rectangle contained by the segments AO and OB shall be equal to a given rectangle not greater than the square on half of AB. 7. Describe...
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Solutions to the mathematical examination papers set for admission to the ...

D. Tierney - 1877 - 126 Seiten
...angle at the circumference upon the same base, that is, upon the same part of the circumference. 6. If two straight lines cut one another within a circle, the rectangle contained by the segments of one of them is equal to the rectangle contained by the segments of the other. In a given straight line...
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Examination Papers: Moderations

University of Oxford - 1879 - 584 Seiten
...centres shall pass through the point of contact. 7. Describe a circle about a given triangle. 8. If two straight lines cut one another within a circle, the rectangle contained by the segments of one of them shall be equal to the rectangle contained by the segments of the other. 9. On the same...
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Mathews' Euclid examination papers ... on Euc. i.-iv

Edward Harri Mathews - 1879 - 94 Seiten
...two segments, such that the angle in one of them shall be five times the angle in the other. 3. If two straight lines cut one another within a circle, the rectangle contained by the segments of one of them, is equal to the rectangle contained by the segments of the other. Through any point in...
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Ten years' Queen's scholarship questions, 1870-9, with answers to arithmetic ...

Education Ministry of - 1880 - 238 Seiten
...angles, the figure is not necessarily a square. 3. If two straight lines cut one another at right angles within a circle, the rectangle contained by the segments...rectangle contained by the segments of the other. From this proposition deduce a method for constructing a square equal to a given parallelogram. Euclid,...
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Report on the Training Systems for the Navy and Mercantile Marine of England ...

French Ensor Chadwick - 1880 - 222 Seiten
...center. 2. A segment of a circle being given, to describe the circle of which it is a segment. 3. If two straight lines cut one another within a circle, the rectangle contained by the segments of one of them shall be equal to the rectangle contained by the segments of the other. 4. The circles...
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The Elements of Euclid for the Use of Schools and Colleges: With Notes, an ...

Isaac Todhunter - 1880 - 426 Seiten
...straight lines cut one another within a circle, the rectangle contdined by the segments of one of them shall be equal to the rectangle contained by the segments of the other. Let the two straight lines AC, BD cut one another at the point E, within the circle A BCD : the rectangle...
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