 | John Playfair - 1832 - 358 páginas
...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... | |
 | John Playfair - 1833 - 346 páginas
...PROP. XXXV. THEO& tf two straight lines within a circle cut one another, the rectangle con: tained by the segments of one of them is equal to the rectangle...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 is... | |
 | Euclid - 1835 - 540 páginas
...Which was to be done. PROP. XXXV. THEOR. If two straight lines within a circle cut one another, See N. the rectangle contained by the segments of one of...segments of the other. Let the two straight lines AC, BD within the circle A BCD, cut one another in the point E : the rectangle contained by AE, EC is equal... | |
 | John Playfair - 1835 - 336 páginas
...remaining angle DBE is equal to the angle BCD in the alternate segment of the circle. PROP. XXXI. THEOR. If two straight lines within a circle cut one another, the rectangle contained^ the segmerds of one of them is equal to the rectangle contained by the segments of the other. Let the... | |
 | John Playfair - 1836 - 148 páginas
...in the alternate segment of the circle. Wherefore, if a straight line, dtc. QED PROP. XXIV. THEOR. If two straight lines within a circle cut one another,...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 is equal... | |
 | 1836 - 488 páginas
...which touches the circle, shall be equal to the angles in the alternate segments of the circle. XXXIV. If two straight lines within a circle cut one another,...rectangle contained by the segments of the other. XXXVI. If from any point without a circle two straight lines be drawn, one of which cuts the circle,... | |
 | John Playfair - 1836 - 488 páginas
...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,...one of them is equal to the rectangle contained by me segments of the other. Let the two straight lines AC, BD, within the circle ABCD, cut one another... | |
 | John Martin Frederick Wright - 1836 - 776 páginas
...double of the square of half the line, and of the square of the line between the points of section. 3. If two straight lines within a circle cut one another, the rectangle contained Ъу the segments of one of them is equal to the rectangle contained by the segments of the other.... | |
 | John Playfair - 1837 - 332 páginas
...out off from the given circle ABC containing an angle equal to the given angle D. PROP. XXXV. THEOR. If two straight lines within a circle cut one another,...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 is equal... | |
 | Commissioners of National Education in Ireland - 1837 - 290 páginas
...X 45-36 = 30-24 ; then = -36571 ; hence 30-24 + -36571 = 30-60571 the area. Note. If two chords of a circle cut one another, the rectangle contained...rectangle contained by the segments of the other. This is the 35th Proposition of the III. Book of Euclid. 4. Required the area of the segment AGFB whose... | |
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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... 
