| Edinburgh univ - 1871 - 392 sider
...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 sider
...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 sider
...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 sider
...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 sider
...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 sider
...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 sider
...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 sider
...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 sider
...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 sider
...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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