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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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Solutions to the mathematical examination papers set for admission to the ...

D. Tierney - 1877 - 126 sider
...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 with ..., Bind 21

1877 - 678 sider
...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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The elements of plane geometry, from the Sansk. text of Ayra Bhatta, ed. by ...

Āryabhaṭa - 1878 - 100 sider
...two straight lines cut one another in a circle, the rectangle contained by the segments of the one is equal to the rectangle contained by the segments of the other. Let the straight lines AB and CD cut one another at F in the same circle. The rectangle AF.FB is equal to the...
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Mathews' Euclid examination papers ... on Euc. i.-iv

Edward Harri Mathews - 1879 - 94 sider
...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 - 1879 - 584 sider
...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 sider
...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. From 0, the...
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Military examinations. Mathematical examination papers, set at entrance to ...

Sandhurst roy. military coll - 1880 - 68 sider
...is that in which the two sides are equal. 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. Divide a given straight line so that the rectangle contained by its segments shall be equal to a given...
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The Elements of Euclid for the Use of Schools and Colleges: With Notes, an ...

Isaac Todhunter - 1880 - 426 sider
...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 contained by AE, EC shall be...
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The Cambridge Examiner, Bind 1

1881 - 504 sider
...line. When is this construction impossible ? 5. 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. Geometry. Women. t 1. On a given straight line describe a triangle equiangular to a given triangle....
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The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1881 - 236 sider
...contained ty the legments of tho other. In the circle A BCD let the two straight lines AC and JBD, cut one another in the point E. The rectangle contained by AE and EC is Of iu al to the rectangle contained by BE and E D. First, let AC and BD pass each through...
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