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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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Annual Report of the Chief Superintendent of Education

1885 - 608 sider
...equally distant from the centre, are equal to one another. 2. If two cords in a circle cut one another, the rectangle contained by the segments of one of...rectangle contained by the segments of the other. 3. Describe an isosceles triangle, having each of the angles at the base double of the third angle....
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Woolwich Mathematical Papers for Admission Into the Royal Military Academy ...

E. J. Brooksmith - 1889 - 356 sider
...semi-circle is greater than a right angle. 7. 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 this in the one case only in which one of the straight lines passes through the centre and cuts...
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The Harpur Euclid: An Edition of Euclid's Elements

Edward Mann Langley, W. Seys Phillips - 1890 - 538 sider
...to Mr. RF Davis, MA PROPOSITION 35. THEOREM. If two straight lines within a circle cut one another, the rectangle contained by the segments of one of...contained by the segments of the other. Let the two chds. AC, BD of the 0 ABC D intersect at E, then rect. AE, EC = rect. BE, ED. (1) If each passes through...
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Euclid Revised: Containing the Essentials of the Elements of Plane Geometry ...

Euclid - 1890 - 442 sider
...— If two chords of a circle cut each other, the rectangle contained by the segments of one chord is equal to the rectangle contained by the segments of the other. Let chds. AB, CD of O, whose centre is O, cut in P. Join OA, OP; and draw ON -L to AB. Since AB is divided...
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Competition for Situations as Assistant in the British Museum: And ...

Great Britain. Civil Service Commission - 1896 - 112 sider
...are together three times the square on AH. 7. 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 those of the other. 8. If a straight line be drawn parallel to one of the sides of a triangle, prove...
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A Text-book of Euclid's Elements for the Use of Schools. Books I.-VI ..., Bog 1

Euclid, Henry Sinclair Hall, Frederick Haller Stevens - 1900 - 330 sider
...If two chords of a circle cut one another, the rectangle contained by the segments of one shall be equal to the rectangle contained by the segments of the other. Let AB, CD, two chords of the 0 ACBD, cut one another at E. Then shall the reel. AE, BB = the recl. CE,...
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Manual

1903 - 898 sider
...through the points B, C, D, E. 6. If two straight lines within a circle cut one another, preve that the rectangle contained by the segments of one of...rectangle contained by the segments of the other. 7. From any point on a circle chords are drawn «nd produced a distance beyond the circle equal to...
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Vectors and Rotors: With Applications

Olaus Henrici, George Charles Turner - 1903 - 236 sider
...straight lines intersect within or without a circle, the rectangle contained by the segments of the one is equal to the rectangle contained by the segments of the other. Let AB, CD be the lines intersecting at P and let O be the centre of the circle. If PA = a, PB=ta, then...
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A Text-book of Euclid's Elements for the Use of Schools, Bog 1

Euclid - 1904 - 488 sider
...If two chords of a circle cut one another, the rectangle contained by the segments of one shall be equal to the rectangle contained by the segments of the other. Let AB, CD, two chords of the 0 ACBD, cut one another at E. Then shall the rect. AE, EB = the rect. CE,...
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Annual Report, Bind 2–3

Civil Service Commission of Canada - 1910 - 240 sider
...to the whole triangle and to one another. 7. 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. PLANE TRIGONOMETRY. Thursday, July 7th, 1910, from 9 am to 12 noon. NOTE. — Do not use natural trigonometric...
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