 | 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,... | |
 | 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,... | |
 | 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,... | |
 | 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... | |
 | 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... | |
 | 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,... | |
 | 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... | |
 | 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... | |
 | 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... | |
 | 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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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... 
