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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 ... - Page 83
by Euclides - 1816 - 528 pages
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - Geometry - 1872 - 349 pages
...side : construct the triangle. PROPOSITION XXXV. THEOREM. If two chords in a circle cul one another, the rectangle contained by the segments of one of...rectangle contained by the segments of the other. Let the 'chords AC, BD in the © ABCD intersect in the pt. P. Then must, rect. AP, PC=rect. BP, PD. From O,...
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Elements of geometry, containing the first two (third and fourth ..., Part 2

Euclides - 1872
...circle: construct the triangle. PROPOSITION XXXV. THEOREM. If two chords in a circle cut or>4 another, the rectangle contained by the segments of one of...rectangle contained by the segments of the other. Let the chorda AC, BD in the 0 ABCD, intersect in the pt. P. Then must reet. AP, PC = rect. BP, PD. From O,...
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The Acting Teacher's and Student's in Training Guide and Text Book for ...

Henry Major - Student teachers - 1873
...in the segment BAC is equal to D. XXXV. — If two straight lines cut one another within a circle, the rectangle contained by the segments of one of them is equal to that of the oilier. Let AC, BD cut one another in E, within ABCD. Then the rectangle contained by AE,...
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The Elements of Euclid, containing the first six books, with a selection of ...

Euclides - 1874
...given angle DQEF PROPOSITION 35. — Theorem. If two straight lines cut one another within a circle, the rectangle contained by the segments of one of...of the other. Let the two straight lines, AC, BD, cut one another in the point E, within the circle ABCD. Then the rectangle contained by AE, EC shall...
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Pure mathematics, Volume 1

Edward Atkins - 1874
...circle cut one another, th« rectangle contained by the segments of one of t/ieni shall be equal to tlie 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 contained by AE and EC shall...
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Elements of Geometry Containing Books I. to VI. and Portions of Books XI ...

James Hamblin Smith - Geometry - 1876
...side : construct the triangle. PROPOSITION XXXV. THEOREM. If two chords in a circle cut one another, the rectangle contained by the segments of one of...to the rectangle contained by the segments of the other._ Let the chords AC, BD in the © ABCD intersect in the pt. P. Then must red. AP, PC=rect. BP,...
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Elements of geometry, based on Euclid, books i-iii

Edward Atkins - 1876 - 119 pages
...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 contained by AE and EC shall...
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Examination Christmas,1875

Education Department,London - 1876
...angle equal to a given rectilineal angle. 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 segmenta of the other. Through any point in the common chord of two circles, which intersect one...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - Geometry, Plane - 1876 - 403 pages
...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 lines AC, BD, eut one another...
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Solutions to the mathematical examination papers set for admission to the ...

D. Tierney - 1877
...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...rectangle contained by the segments of the other. In a given straight line AB find a point O, such that the rectangle contained by the segments AО and...
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