 | John Mason Good - 1819 - 800 Seiten
...given rectilineal angle. Prop. XXX V. Theor. 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. Cul^tlie circle, ami the part of it without the circle, shall be equal to the sqmire of the line which... | |
 | John Playfair - 1819 - 354 Seiten
...D. Which was to be done. PROP. XXXV. THEOR. If two straight lines within a circle tut one another, the rectangle contained by the segments of one of...to the rectangle contained by the segments of the ether. Let the two straight lines AC, BD, within the circle ABCD, cut one another in the point E :... | |
 | John Playfair - 1819 - 350 Seiten
...PROP. XXXV. THEOR. If two straight lints within a circle cut one -another, the rectangle contain* ed by the segments of one of them is equal to the rectangle contained by the segments of the ether. Let the two straight lines AC. BD, within the circle ABCt), cut one another in the point E :... | |
 | Peter Nicholson - 1825 - 1046 Seiten
...straight lines within a circle cut one another, the rectangle contained by the segments of one of them ia equal to the rectangle contained by the segments of...in the point E : the rectangle contained by AE, EC it equal to the rectangle contained by BE, ED. If AC, BD pass each of them through the centre, so that... | |
 | John Martin Frederick Wright - 1825 - 798 Seiten
...of the Une between the points of section. 3. 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. 4. Inscribe an equilateral and equiangular hexagon in a gives circle. 5. If any number of magnitudes... | |
 | Euclides - 1826 - 226 Seiten
...XXXV. THBORKM. If in a circle two right lines mutually cut one another, the rectangle contained under the segments of one of them is equal to the rectangle contained under the segments of the other. . contained under AE, EC, is equal to that contained under DE, EB.... | |
 | Euclid - 1826 - 234 Seiten
...XXXV. THEOREM. If in a circle two right lines mutually cut one another, the rectangle contained under the segments of one of them is equal to the rectangle contained under the segments. of the other. contained under AE, EC, is equal to that contained under DE, EB.... | |
 | Robert Simson - 1827 - 546 Seiten
...was to be done. PROP. XXXV. THEOR. If two straight lines cut one another within a circle, the SeeN. rectangle contained by the segments of one of them,...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, EC shall be... | |
 | John Playfair - 1829 - 210 Seiten
...THEOREM.* If two chords of a circle cut each other, the rectangle contained by the segments of one chord is equal to the rectangle contained by the segments of the other. Let the two chords AC, BD, of the circle ABCD, cut each other in the point E; the rectangle AE . EC = BE .ED. Let... | |
 | John Playfair - 1832 - 358 Seiten
...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...segments of the other. Let the two straight lines AC,BD, within the circle ABCD, cut one another in the point E: the rectangle contained by AE, EC ia... | |
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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... 
