 | Richard Wormell - 1870 - 304 páginas
...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 páginas
...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 - 1872 - 376 páginas
...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. From O,... | |
 | Euclides - 1872 - 102 páginas
...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. From O,... | |
 | Henry Major - 1873 - 588 páginas
...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 páginas
...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...segments 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... | |
 | Edward Atkins - 1874 - 426 páginas
...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... | |
 | Edward Atkins - 1874 - 428 páginas
...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 - 382 páginas
...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 O, the... | |
 | Euclides, James Hamblin Smith - 1876 - 376 páginas
...the base on the opposite side : construct the triangle. PROPOSITION XXXV. THEOREM. If two chords in a circle cut one another, the rectangle contained...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,... | |
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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... 
