 | Robert Potts - 1868 - 434 pages
...given angle DQEF PROPOSITION XXXV. THEOREM. 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. Let the two straight lines AC, BD, cut one another in the point E, within the circle A BCD. Then the... | |
 | Richard Wormell - Geometry, Modern - 1868 - 286 pages
...segment. 3. If two straight lines cut one another within a circle, one of them passing through the centre, the rectangle contained by the segments of one of...rectangle contained by the segments of the other. 4. A ladder is gradually raised against a wall ; find the locus of its middle point. 5. How would you... | |
 | Richard Wormell - Geometry, Plane - 1870 - 304 pages
...segment. 3. If two straight lines cut one another within a circle, one of them passing through the centre, the rectangle contained by the segments of one of...rectangle contained by the segments of the other. 4. A ladder is gradually raised against a wall ; find the locus of its middle point. 5- How would you... | |
 | Edinburgh univ - 1871 - 392 pages
...equal to the rectangles contained by the undivided line and the several parts of the divided one. 4. If two straight lines within a circle cut one another,...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 - Geometry - 1872 - 376 pages
...the opposite side : construct the triangle. PROPOSITION XXXV. THEOREM. If two chords in a circle cul one another, the rectangle contained by the segments...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.... | |
 | Euclides - 1872 - 102 pages
...circumscribing circle: construct the triangle. PROPOSITION XXXV. THEOREM. If two chords in a circle cut or>4 another, the rectangle contained by the segments 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.... | |
 | Henry Major - Student teachers - 1873 - 588 pages
...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 pages
...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...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. Then the... | |
 | Edward Atkins - 1874 - 426 pages
...angle in the segment BAC is equal to the • angle D (Ax. 1). GEOMETRY. Proposition 35. — Theorem. If two straight lines within a circle cut one another,...rectangle contained 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... | |
 | Euclides, James Hamblin SMITH - 1876 - 382 pages
...the base on the opposite side : construct the triangle. PROPOSITION XXXV. THEOREM. If two chords in a circle cut one another, the rectangle contained...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, PD. From... | |
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BAC is cut off from the given circle ABC containing an angle equal to the given angle D : Which was to be done. PROP. XXXV. THEOR. If two straight lines within a circle cut one another, the rectangle contained by the segments of one of them is equal to... 
