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" Wherefore from the given circle ABC has been cut off the segment BAC, containing an angle equal to the given angle DQEP PROP. XXXV. THEOR. If two straight lines within a circle cut one another, the rectangle contained by the segments of one of them is... "
The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ... - Side 83
af Euclides - 1816 - 528 sider
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson ...

Robert Potts - 1865 - 528 sider
...lines. Or, in other words :— If the diagonals of a quadrilateral figure intersect one another, BO that the rectangle contained by the segments of one of...rectangle contained by the segments of the other; then a circle may be described about the quadrilateral. Prop- xxxvi. The converse of the corollary...
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The College Euclid: Comprising the First Six and the Parts of the Eleventh ...

Euclides - 1865 - 402 sider
...equal to a given rectilineal angle. Prop. 35. If two straight lines cut one another within a circle, the rectangle contained by the segments of one of...rectangle contained by the segments of the other. Prop. 36. If from any point without a circle two straight Uses be drawn, one of which cuts the circle,...
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Report of the Board of Education

Bombay (India : State). Board of Education - 1851 - 764 sider
...a certain species : thus one of the properties of the circle is that if two chords cut oue another, the rectangle contained by the segments of one of...rectangle contained by the segments of the other. The qualities which peculiarly belong to some individuals, and not to others, are called accidents...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1867 - 424 sider
...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. Let the two straight lines AC, BD cut one another at the point E, within the circle A BCD : the rectangle contained by AE, EC shall be...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1867 - 426 sider
...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. Let the two straight lines AC, BD cut one another at the point E, within the circle A BCD : the rectangle contained by AE, EC shall be...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1868 - 434 sider
...Or, in other words : — If the diagonals of a quadrilateral figure intersect one another, so that the rectangle contained by the segments of one of...the rectangle contained by the segments of the other ; then a circle may be described about the quadrilateral. Prop. xxxvI. The converse of the corollary...
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The Edinburgh university calendar

Edinburgh univ - 1868 - 336 sider
...squares of the sides of the parallelogram. 3. If two straight lines within a circle cut one another, the rectangle contained by the segments of one of...rectangle contained by the segments of the other. 4. To inscribe a circle in a given triangle. 5- Equal triangles which have one angle of the one equal...
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An Elementary Course of Plane Geometry

Richard Wormell - 1868 - 286 sider
...segment. 3. If two straight lines cut one another within a circle, one of them passing through the centre, the rectangle contained by the segments of one of...rectangle contained by the segments of the other. 4. A ladder is gradually raised against a wall ; find the locus of its middle point. 5. How would you...
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Elementary Geometry, Bind 2

James Maurice Wilson - 1868 - 150 sider
...within or without a circle, chords are drawn, the rectangle contained by the segments of the one is equal to the rectangle contained by the segments of the other. Let AOB, COD be the chords through O. Then is AO x OB = CO x OD. For join CB, AD. Then since the angle...
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An Elementary Course of Plane Geometry

Richard Wormell - 1870 - 304 sider
...segment. 3. If two straight lines cut one another within a circle, one of them passing through the centre, the rectangle contained by the segments of one of...rectangle contained by the segments of the other. 4. A ladder is gradually raised against a wall ; find the locus of its middle point. 5- How would you...
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