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" BAC is cut off from the given circle ABC containing an angle equal to the given angle D : Which was to be done. PROP. XXXV. THEOR. If two straight lines within a circle cut one another, the rectangle contained by the segments of one of them is equal to... "
The complete measurer: or, The whole art of measuring, containing the ... - Page 47
by Thomas Keith - 1817
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - Geometry - 1876 - 376 pages
...the base on the opposite side : construct the triangle. PROPOSITION XXXV. THEOREM. If two chords in a circle cut one another, the rectangle contained...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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Examination Christmas,1875

Education Department,London - 1876 - 1010 pages
...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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Elements of geometry, based on Euclid, books i-iii

Edward Atkins - 1876 - 130 pages
...BAC Las been. cut off, containing an angle equal to the given angle DQEF Proposition 35.— Theorem. If two 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....
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - Geometry - 1876 - 446 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 - 126 pages
...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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Report of Her Majesty's Civil Service Commissioners: Together ..., Volume 21

1877 - 678 pages
...circle any number of chords bo drawn, find the locus of their points of bisection. 7. If two chords in a circle cut one another, the rectangle contained by the segments of one of them is equal to the recüingle contained by the segments of the other. If from any point in the diameter of a semicircle...
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Mathews' Euclid examination papers ... on Euc. i.-iv

Edward Harri Mathews - 1879 - 94 pages
...two circles •will be of constant length. 3. 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. Prove that if through a fixed point O any straight line be drawn meeting a fixed circle, whose centre...
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Examination Papers: Moderations

University of Oxford - Education, Higher - 1879 - 586 pages
...semicircle is greater than a right angle. 10. 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. 2. EXAMINATION ГОН CLASSICAL HONOURS. I. THE FOUR GOSPELS. 1. Translate : — (l) Eicre'AoeTe bia...
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - 1879 - 376 pages
...triangle. PROPOSITION XXXV. THEOREM. If two chords in a circle cut one another, the rectangle con^ tained by the segments of one of them, is equal to the rectangle contained by the segments of the other. , Let the chords AC, BD in the 0 ABCD intersect in the pt. P. Then must rect. AP, PC=rect. BP, PD....
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Elements of Geometry: Containing Books 1. to Vi. and Portions of Books Xi ...

James Hamblin Smith - Euclid's Elements - 1879 - 378 pages
...the base ou the opposite 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 thcm, is equal to the rectangle contained by the segments of the other.Let the chords AC, BD in the...
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