 | Edinburgh univ - 1871 - 392 pagina’s
...and the several parts of the divided one. 4. If two straight lines within a circle cut one another, the rectangle contained by the segments of one of...rectangle contained by the segments of the other. (Take the case only when one passing through the centre cuts the other not at right angles.) 6. Divide... | |
 | Euclides, James Hamblin Smith - 1872 - 376 pagina’s
...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 - 102 pagina’s
...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 - 1873 - 588 pagina’s
...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 - 342 pagina’s
...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 - 428 pagina’s
...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... | |
 | Euclides, James Hamblin Smith - 1876 - 376 pagina’s
...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 - 130 pagina’s
...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 - 1010 pagina’s
...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 - 1876 - 446 pagina’s
...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... | |
| |
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... 
